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111 http://journals.tubitak.gov.tr/earth/ Turkish Journal of Earth Sciences Turkish J Earth Sci (2015) 24: 111-164 © TÜBİTAK doi:10.3906/yer-1412-31 Origin, evolution, and tectonic setting of the eastern part of the Mexican Volcanic Belt and comparison with the Central American Volcanic Arc from conventional multielement normalized and new multidimensional discrimination diagrams and discordancy and significance tests Surendra P. VERMA* Renewable Energy Institute, Universidad Nacional Autónoma de México, Temixco, Morelos, Mexico * Correspondence: [email protected] 1. Introduction Geochemistry is concerned mainly with the elucidation of geological processes through the determination and interpretation of chemical compositions of earth materials (Wedepohl, 1971; Cox et al., 1979; Taylor and McLennan, 1985; Ragland, 1989; Wilson, 1989; Rollinson, 1993). e common practice of data visualization and interpretation currently followed is still the same as that used for several decades, and it consists of the use of bivariate, ternary, and normalized multielement diagrams prepared from the data resulting from sample collection, preparation, and laboratory analysis (Wedepohl, 1971; Cox et al., 1979; Freeze and Cherry, 1979; Taylor and McLennan, 1985; Ragland, 1989; Wilson, 1989; Rollinson, 1993; Tatsumi and Eggins, 1995; Hall, 1996; Ottonello, 1997). e statistical methods are generally limited to the conventional univariate, bivariate, or multivariate techniques inappropriate for handling of compositional data (e.g., Pearson, 1897; Chayes, 1960; Aitchison, 1981, 1982, 1984, 1986; Aitchison et al., 2000; Egozcue et al., 2003; Aitchison and Egozcue, 2005; Buccianti et al., 2006; Agrawal and Verma, 2007; Verma, 2010). In spite of such a criticism, it is unfortunate that the traditional diagrams and related inappropriate statistical methods are still in wide use. For the classification of fresh volcanic rocks, the well- known total alkalis versus silica (TAS) diagram (Le Bas et al., 1986; Le Bas and Streckeisen, 1991; Le Bas, 2000; Le Maitre et al., 2002) proposed by the International Union of Geological Sciences (IUGS) is extensively used (nearly Abstract: If both the Mexican Volcanic Belt (MVB) and the Central American Volcanic Arc (CAVA) have been related to the subduction of the Cocos plate beneath the North American and Caribbean plates, respectively, their magmas, and especially the less evolved basic varieties, should show considerable similarities. e conventional multielement normalized diagrams indicate more complex petrogenetic processes for the MVB than the CAVA. Forty-five statistically coherent tectonomagmatic discrimination diagrams were used to infer the tectonic setting of the controversial geological subprovince of the eastern part of the MVB (E-MVB). Basic rocks from the E-MVB indicated a continental riſt setting, whereas the intermediate rocks were more consistent with a transitional setting of riſt to collision. e acid rocks, presumably having a larger crustal component than the intermediate and basic rocks, showed inconclusive results. e volcanic rock data from the CAVA were used to successfully test these diagrams. e expected arc setting was consistently indicated for the CAVA from basic, intermediate, and acid rocks, confirming the satisfactory functioning of the diagrams. e data for all three types of rocks from the E-MVB and CAVA were then objectively compared for their similarities and differences. Specially designed computer programs were used to efficiently apply discordancy and significance tests at the strict 99% confidence level. Most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters in basic rocks from the E-MVB and CAVA showed statistically significant differences. For intermediate rocks and, to a lesser extent, for acid rocks, a large number of parameters also showed differences between the E-MVB and CAVA. e differences in the inferred tectonic settings for basic and evolved rocks from the E-MVB are likely related to the different magmatic sources. Key words: Tectonomagmatic discrimination diagrams, discordancy tests, significance tests, continental riſt, continental arc, collision tectonic setting Received: 28.12.2014 Accepted/Published Online: 17.02.2014 Printed: 10.04.2015 Research Article

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Page 1: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

111

httpjournalstubitakgovtrearth

Turkish Journal of Earth Sciences Turkish J Earth Sci(2015) 24 111-164copy TUumlBİTAKdoi103906yer-1412-31

Origin evolution and tectonic setting of the eastern part of the Mexican Volcanic Belt and comparison with the Central American Volcanic Arc from conventional

multielement normalized and new multidimensional discrimination diagrams and discordancy and significance tests

Surendra P VERMARenewable Energy Institute Universidad Nacional Autoacutenoma de Meacutexico Temixco Morelos Mexico

Correspondence spvierunammx

1 IntroductionGeochemistry is concerned mainly with the elucidation of geological processes through the determination and interpretation of chemical compositions of earth materials (Wedepohl 1971 Cox et al 1979 Taylor and McLennan 1985 Ragland 1989 Wilson 1989 Rollinson 1993) The common practice of data visualization and interpretation currently followed is still the same as that used for several decades and it consists of the use of bivariate ternary and normalized multielement diagrams prepared from the data resulting from sample collection preparation and laboratory analysis (Wedepohl 1971 Cox et al 1979 Freeze and Cherry 1979 Taylor and McLennan 1985 Ragland 1989 Wilson 1989 Rollinson 1993 Tatsumi and Eggins 1995 Hall 1996 Ottonello

1997) The statistical methods are generally limited to the conventional univariate bivariate or multivariate techniques inappropriate for handling of compositional data (eg Pearson 1897 Chayes 1960 Aitchison 1981 1982 1984 1986 Aitchison et al 2000 Egozcue et al 2003 Aitchison and Egozcue 2005 Buccianti et al 2006 Agrawal and Verma 2007 Verma 2010) In spite of such a criticism it is unfortunate that the traditional diagrams and related inappropriate statistical methods are still in wide use

For the classification of fresh volcanic rocks the well-known total alkalis versus silica (TAS) diagram (Le Bas et al 1986 Le Bas and Streckeisen 1991 Le Bas 2000 Le Maitre et al 2002) proposed by the International Union of Geological Sciences (IUGS) is extensively used (nearly

Abstract If both the Mexican Volcanic Belt (MVB) and the Central American Volcanic Arc (CAVA) have been related to the subduction of the Cocos plate beneath the North American and Caribbean plates respectively their magmas and especially the less evolved basic varieties should show considerable similarities The conventional multielement normalized diagrams indicate more complex petrogenetic processes for the MVB than the CAVA Forty-five statistically coherent tectonomagmatic discrimination diagrams were used to infer the tectonic setting of the controversial geological subprovince of the eastern part of the MVB (E-MVB) Basic rocks from the E-MVB indicated a continental rift setting whereas the intermediate rocks were more consistent with a transitional setting of rift to collision The acid rocks presumably having a larger crustal component than the intermediate and basic rocks showed inconclusive results The volcanic rock data from the CAVA were used to successfully test these diagrams The expected arc setting was consistently indicated for the CAVA from basic intermediate and acid rocks confirming the satisfactory functioning of the diagrams The data for all three types of rocks from the E-MVB and CAVA were then objectively compared for their similarities and differences Specially designed computer programs were used to efficiently apply discordancy and significance tests at the strict 99 confidence level Most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters in basic rocks from the E-MVB and CAVA showed statistically significant differences For intermediate rocks and to a lesser extent for acid rocks a large number of parameters also showed differences between the E-MVB and CAVA The differences in the inferred tectonic settings for basic and evolved rocks from the E-MVB are likely related to the different magmatic sources

Key words Tectonomagmatic discrimination diagrams discordancy tests significance tests continental rift continental arc collision tectonic setting

Received 28122014 AcceptedPublished Online 17022014 Printed 10042015

Research Article

112

VERMA Turkish J Earth Sci

2100 citations of Le Bas et al (1986) alone in international journals as confirmed on 15 July 2014 in the Science Citation Index) The computer program SINCLAS written in Visual Basic for rock classification based on the IUGS scheme and CIPW norm computation (Verma et al 2002 2003) is now superseded by IgRoCS (Verma and Rivera-Goacutemez 2013b written in VisualNet) For the classification of altered rocks however the TAS diagram is not recommended (Le Bas et al 1986) Other bivariate diagrams based on the so-called immobile elements has been proposed (Floyd and Winchester 1975 1978 Winchester and Floyd 1976 1977) These diagrams are in extensive use for the classification of altered rocks (with gt2500 citations in international journals) but they have been shown to be unsuitable and inconsistent with the IUGS scheme for rock classification (Verma et al 2010)

New multidimensional discrimination diagrams based on a coherent statistical treatment of compositional data (Aitchison 1986) and use of linear discriminant analysis (Agrawal 1999) are now available for all kinds of magmas from ultrabasic and basic to acid (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)

The Mexican Volcanic Belt (MVB also called the Trans-Mexican Volcanic Belt) is a major geological province in central Mexico which extends approximately east-west from Veracruz (V) to Puerto Vallarta (Pu Figure 1 modified after Verma 2002) This Miocene to Recent province more than 1000 km long and about 200ndash500 km wide houses over 8000 volcanoes (some being active) and several geothermally promising areas two of which are already producing electricity as well as numerous

Figure 1 Simplified regional tectonics of southern Mexico and Central America showing the approximate location of the Mexican Volcanic Belt (MVB) and Central American Volcanic Arc (CAVA) map modified after Verma (2002) The MVB is approximately subdivided into Wndashwestern WCndashwest-central Cndashcentral and Endasheastern parts The box in the eastern part of the MVB is the main study area The location of the Middle America Trench (MAT) is shown by thick blue curve Other tectonic and volcanic features are EPRndashEast Pacific Rise TeRndashTehuantepec Ridge CoRndashCocos Ridge MPFndashMotagua-Polochic fault system QSCndashQuesada sharp contortion and LTVFndashLos Tuxtlas Volcanic Field The countries are GndashGuatemala SndashEl Salvador HndashHonduras NndashNicaragua CndashCosta Rica PndashPanama The Mexican cities are PundashPuerto Vallarta VndashVeracruz The traces marked by numbers 5 to 25 on the oceanic Cocos plate give the approximate age of the oceanic plate the dashed-dotted lines marked by numbers 20 to 200 on the continental (North American and Caribbean) plates indicate the approximate depth of the subducted Cocos plate (note the truncation of 80-km and 100-km depth contours in the study area even the correctness of the contours in front of the LTVF has been criticized by Verma (2006 2009) the numbers ndash1000 ndash500 0 +500 and +1000 represent the approximate horizontal distance in kilometers from the triple junction represented by the intersection of three plates (Cocos North American and Caribbean) the negative numbers are for Mexico whereas the positive numbers are for Central America These distances were used by Verma (2002) to compare and contrast the volcanism in southern Mexico with the CAVA Simplified fracture and fault main patterns are also shown schematically using dashed curves

8286909498102106

10

15

20MVB Study area

WCE

W

C LTVF

ChG

H

NS

CP

QSC

TeR

CoR

0

-500

-1000

+500

+1000

EPR

W

N

40

8060

100

20

200

MAT

MATMexico

MPF

North American plate

Cocos plate

Rivera plate

Pacific plate

Caribbean plate

20

15105

25

CAVA

V

Pu

113

VERMA Turkish J Earth Sci

mineralized areas under exploitation The tectonic models include the conventional subduction-related origin (eg Molnar and Sykes 1969 Negendank et al 1981 1985 Suarez and Singh 1986 Pardo and Suaacuterez 1995 Goacutemez-Tuena et al 2003 Carrasco-Nuacutentildeez et al 2005) Alternative models have been proposed since the early days of Alexander von Humboldt in 1808 These include fracture-related origin (eg von Humboldt 1808 Mooser and Maldonado-Koerdell 1961 Mooser 1969 De Cserna 1971) transtension or intraplate transform (eg Shurbet and Cebull 1984 Cebull and Shurbet 1987) plume-related origin (eg Moore et al 1994 Maacuterquez et al 1999a) extension or rift-related origin (eg Sheth et al 2000 Maacuterquez et al 2001 Verma 2002 2004 2009) and a slab-detachment model (eg Ferrari 2004) Thus its origin has been highly debated (eg Ferrari and Rosas-Elguera 1999 Maacuterquez et al 1999b Blatter et al 2001 Ferrari et al 2002 Verma 2002 2004 2009 Torres-Alvarado and Verma 2003 Goacutemez-Tuena et al 2007 Peacuterez-Campos et al 2008 Pacheco and Singh 2010 Verma et al 2011)

The MVB contains mainly late Neogene to Quaternary (late Miocene to Holocene and even historic) eruptive products Unfortunately the samples for geochemistry are seldom specifically dated although ages can be assumed for most of them based on other dated samples This study is concerned with the eastern part of the MVB (E-MVB) where the analyzed and compiled samples mostly span a narrow range of less than 5 my and all of them can be treated together Similarly there is no age-specific difference between the basic and evolved (intermediate and acid) rocks they are considered as contemporary

However to the south of Mexico the Central American Volcanic Arc (CAVA) from Guatemala to northwestern Costa Rica located in the Caribbean Plate presumably originated from the subduction of the same oceanic Cocos plate that subducts beneath the North American plate (Figure 1) The CAVA a continental arc subparallel to the Middle America Trench (MAT see the orientations of the CAVA and MAT in Figure 1) is considered a classic arc-trench system (eg Carr et al 1982 Carr and Rose 1986 Feigenson and Carr 1993 Leeman and Carr 1995 Carr et al 2007) The compiled samples also are of similar ages as those from the MVB namely late Neogene to Quaternary

On the other hand highly efficient and appropriate computational tools such as DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) OYNYL (Verma et al 2006a) and UDASYS (Verma et al 2013a) for applying discordancy and significance tests (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005) have recently been developed The statistical inference in these programs is made through the new highly precise and accurate critical values obtained from Monte Carlo simulations (Verma and Quiroz-Ruiz 2008 2011 Verma

et al 2008 Cruz-Huicochea and Verma 2013 Verma and Cruz-Huicochea 2013)

Besides the conventional techniques of multielement normalized diagrams my aim is to illustrate the use of the new geochemical tools of multidimensional tectonomagmatic diagrams log-ratio transformed variables and discordancy and significance tests thus providing further constraints on the origin and tectonic setting of the E-MVB and comparing this subprovince with the CAVA This paper should reinforce new guidelines in geological and geochemical research

2 New analytical dataI present new geochemical data for 1 volcanic rock sample from the Acoculco caldera area 6 from the La Malinche volcano and 18 from the Domos Las Derrumbadas area (Tables 1 and 2) Major and trace elements were obtained from X-ray fluorescence spectrometry at the Johannes Gutenberg University Mainz Germany and rare-earth elements from high-performance liquid chromatography at the Max Planck Institute for Chemistry (MPI) Mainz Germany The analytical details and accuracy estimates were given by Verma (1991a 1991b) and Verma et al (1992) Radiogenic isotopes were analyzed on two fully automated MAT 261 mass spectrometers at the MPI using procedures summarized by Verma (1992) (i) triple-collector for Nd and Pb and (ii) double-collector later transformed to multicollector for Sr

3 Databases and procedures31 Database for the E-MVBThe database for the eastern part of the MVB was constructed from several sources (approximately from west to east) the Tecocomulco area (Santiago TetlapayacndashEl TepozaacutenndashSanta Cruz Hidalgo State Correa Tello 2011) the La Malinche volcano area (~9803degW ~1931degN Castro Govea 1999 2007 Verma 2002 this work) the Tulancingo-Acoculco caldera area (~9816degW ~1990degN Verma 2001a 2002 Loacutepez Hernaacutendez 2009 this work) the Domos Las Derrumbadas area (~9803degW ~1931degN Negendank et al 1985 Siebe and Verma 1988 Verma 2002 this work) Los Humeros caldera (Verma and Lopez 1982 Verma 1983 1984 2000a Ferriz and Mahood 1987 Carrasco-Nuacutentildeez and Branney 2005 Carrasco-Nuacutentildeez et al 2012) the Citlaacuteltepetl or Pico de Orizaba volcano area (Kudo et al 1985 Siebe et al 1993 Carrasco-Nuacutentildeez and Rose 1995 Carrasco-Nuacutentildeez 2000 Rossotti et al 2006 Schaaf and Carrasco-Nuacutentildeez 2010) the Quezalapa-Las Cumbres area (Rodriacuteguez et al 2002) the Cofre de Perote area (Carrasco-Nuacutentildeez et al 2005 2010) Mesa Buen Paiacutes (Daacutevalos Elizondo 2009) the Palma Sola area (Negendank et al 1985 Orozco-Esquivel 1995 Goacutemez-Tuena et al 2003) the Southern volcanic area (Orozco-Esquivel et al

114

VERMA Turkish J Earth Sci

Table 1 New geochemical and isotopic data for volcanic rock samples from the Acoculco caldera and La Malinche volcano eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basalt Dacite Dacite Dacite Dacite Dacite Dacite

SiO2 4958 642 6566 6264 6285 6303 6395

TiO2 178 066 058 070 070 068 068

Al2O3 1818 1621 1647 1684 1666 1686 1658

Fe2O3T 1082 439 382 493 498 481 459

MnO 0159 0073 0066 0084 0087 0082 0080

MgO 611 231 210 290 301 287 252

CaO 885 434 424 493 504 5095 474

Na2O 37 444 452 422 413 418 462

K2O 083 211 189 190 190 186 198

P2O5 0280 0172 0152 0159 0162 0156 0178

LOI 000 127 024 058 021 021 060

Sum 10029 10018 9974 9987 9974 9983 10052

(SiO2)adj 49894 65124 66177 63324 63380 63493 64220

(Na2O + K2O)adj 4559 6644 6455 6183 6079 6084 6628

Q 000 1723 1938 1523 1562 1576 1531

Or 494 1265 1126 1135 1129 1110 1175

Ab 3151 3811 3851 3607 3527 3559 3926

An 3074 1833 1925 2163 2150 2191 1873

Di 950 193 078 165 214 2054 302

Hy 322 836 789 1046 1051 1007 845

Ol 1363 000 000 000 000 000 000

Mt 241 171 148 191 193 186 177

Il 340 127 111 133 135 130 130

Ap 065 040 035 037 038 036 041

Mg 5690 5864 5961 6131 6192 6166 5966

FeOTMgO 159 171 164 153 149 151 164

Ba ndashndashndash ndashndashndash 500 487 481 476 518

Co ndashndashndash ndashndashndash 20 18 20 23 18

Cr ndashndashndash ndashndashndash 44 74 58 46 44

Cu ndashndashndash ndashndashndash 4 5 6 6 6

Nb ndashndashndash ndashndashndash 37 49 41 48 42

Ni ndashndashndash ndashndashndash 12 18 13 11 12

Rb ndashndashndash ndashndashndash 36 43 43 41 45

Sr ndashndashndash ndashndashndash 611 558 558 571 600

115

VERMA Turkish J Earth Sci

Table 1 (Continued)

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basaltDacite Dacite Dacite Dacite Dacite Dacite

V ndashndashndash ndashndashndash 66 94 90 105 66

Y ndashndashndash ndashndashndash 122 163 164 170 152

Zn ndashndashndash ndashndashndash 54 58 58 60 64

Zr ndashndashndash ndashndashndash 130 136 141 132 128

(87Sr86Sr)m 0703953 0704976 0704493 0704576 0704591 0704629 0704554

(143Nd144Nd)m 0512828 0512632 0512758 0512692 0512741 0512729 05127125

Abbreviations The subscript adj refers to adjusted data (anhydrous 100 adjusted basis) Mg = 100 Mg2+(Mg2+ + Fe2+) atomic FeOT = total iron expressed as FeO computer program for adjustments and norm calculations can be either SINCLAS by Verma et al (2002) or IgRoCS by Verma and Rivera-Goacutemez (2013a) Replicate analyses of major elements were performed for most samples n1ndashnumber of analyses for major elements n2ndashnumber of analyses for trace elements n3ndashnumber of analyses for Sr isotopes (87Sr86Sr) n4ndashnumber of analyses for Nd isotopes (143Nd144Nd) Rounded concentration values were reported the sum may not be consistent sometimes The 87Sr86Sr ratios are normalized to 86Sr88Sr = 011940 and adjusted to SRM987 87Sr86Sr of 0710230 The 143Nd144Nd are normalized to 146Nd144Nd = 072190 and adjusted to La Jolla 143Nd144Nd of 0511860 The measured 87Sr86Sr for the SRM987 standard was 0710216 plusmn 11 (1s n = 36) and the measured 143Nd144Nd for the La Jolla standard was 0511833 plusmn 12 (1s n = 82) during the period of measurement of about 1 year Note the measured isotopic ratios were adjusted following the convention of Mainz (see eg Verma 2002)

Table 2 New geochemical and isotopic data for 18 volcanic rock samples from the Domos Las Derrumbadas area eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkali basalt Basaltic andesite Basaltic andesite Basaltic

andesiteTrachyandesite benmorite Andesite Andesite Andesite Rhyolite

SiO2 5120 5246 5389 56 595 602 6128 6132 702

TiO2 143 114 100 086 077 085 080 060 015

Al2O3 1685 1576 1546 1658 1773 179 1566 1606 1548

Fe2O3T 986 868 782 739 696 592 596 513 264

MnO 0156 014 0122 012 0141 0093 0099 0086 0043

MgO 689 86 851 568 182 280 464 356 032

CaO 929 88 798 726 474 620 536 546 182

116

VERMA Turkish J Earth Sci

Table 2 (Continued)

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkalibasalt

Basaltic andesite

Basalticandesite

Basaltic andesite

Trachyandesite benmorite Andesite Andesite Andesite Rhyolite

Na2O 361 325 352 353 486 444 398 409 430

K2O 101 115 134 168 22 166 2 183 336

P2O5 0294 0276 0311 0219 051 0212 0232 0199 0083

LOI 004 012 034 075 064 017 003 101 128

Sum 100630 100376 100293 100069 99871 100445 100041 99345 99676

(SiO2)adj 51327 52686 54250 56717 60273 60306 61553 62607 71477

(Na2O + K2O)adj 4631 4419 4892 5277 7152 6111 6007 6044 7799

Q 000 000 000 464 882 1004 1174 135 2770

Or 598 683 797 1006 1317 983 1187 1104 2022

Ab 3062 2762 2998 3025 4166 3764 3383 3533 3705

An 2686 2512 2258 2475 2032 2405 1904 2048 864

Di 1419 1359 1222 833 010 440 496 474 000

Hy 593 1663 2035 1750 1054 988 1441 1145 301

Ol 1083 471 184 000 000 000 000 0 000

Mt 219 269 243 231 271 206 208 182 121

Il 272 217 191 165 148 162 153 116 029

Ap 068 064 073 051 120 049 054 047 020

Mg 6203 7137 7325 6591 4133 5520 6697 6438 2582

FeOTMgO 129 091 083 117 344 190 116 13 742

Ba 262 389 440 464 7795 471 799 712 924

Co 32 36 34 26 125 155 20 16 3

Cr 135 396 360 228 45 215 176 98 7

Cu 25 43 305 22 55 95 175 12 3

Nb 100 68 99 55 141 535 1105 44 128

Ni 39 136 1885 57 55 105 91 29 45

Rb 175 195 241 31 5635 398 4055 288 9925

Sr 474 573 705 532 5238 6047 482 779 277

V 162 163 154 138 405 985 865 77 5

Y 241 222 204 2045 3035 20 1835 155 77

Zn 74 80 845 77 875 665 665 62 71

Zr 153 162 155 140 2969 16645 150 138 155

La 69 191 222 131 284 142 ndashndashndash 17 ndashndashndash

Ce 171 425 483 258 629 284 ndashndashndash 337 ndashndashndash

Pr 214 534 599 469 767 369 ndashndashndash 439 ndashndashndash

Nd 986 223 245 159 325 155 ndashndashndash 185 ndashndashndash

Sm 22 47 486 343 638 341 ndashndashndash 361 ndashndashndash

Eu 07 148 147 174 181 109 ndashndashndash 109 ndashndashndash

Gd 23 429 42 675 576 349 ndashndashndash 334 ndashndashndash

Tb 034 061 066 049 081 061 ndashndashndash 048 ndashndashndash

Ho 042 072 062 055 094 062 ndashndashndash 058 ndashndashndash

Er 127 212 2 168 295 187 ndashndashndash 182 ndashndashndash

Tm 019 03 041 027 049 031 ndashndashndash 031 ndashndashndash

Yb 129 208 221 167 327 209 ndashndashndash 19 ndashndashndash

Lu 023 039 036 031 102 026 ndashndashndash 029 ndashndashndash (87Sr86Sr)m 0704206 0704123 0704295 0704965 0704626 0704630 0704459 0704243 0705167

(143Nd144Nd)m 0512774 0512776 0512680 0512593 0512660 0512642 0512651 0512496 0512527

117

VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

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2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 2: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

112

VERMA Turkish J Earth Sci

2100 citations of Le Bas et al (1986) alone in international journals as confirmed on 15 July 2014 in the Science Citation Index) The computer program SINCLAS written in Visual Basic for rock classification based on the IUGS scheme and CIPW norm computation (Verma et al 2002 2003) is now superseded by IgRoCS (Verma and Rivera-Goacutemez 2013b written in VisualNet) For the classification of altered rocks however the TAS diagram is not recommended (Le Bas et al 1986) Other bivariate diagrams based on the so-called immobile elements has been proposed (Floyd and Winchester 1975 1978 Winchester and Floyd 1976 1977) These diagrams are in extensive use for the classification of altered rocks (with gt2500 citations in international journals) but they have been shown to be unsuitable and inconsistent with the IUGS scheme for rock classification (Verma et al 2010)

New multidimensional discrimination diagrams based on a coherent statistical treatment of compositional data (Aitchison 1986) and use of linear discriminant analysis (Agrawal 1999) are now available for all kinds of magmas from ultrabasic and basic to acid (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)

The Mexican Volcanic Belt (MVB also called the Trans-Mexican Volcanic Belt) is a major geological province in central Mexico which extends approximately east-west from Veracruz (V) to Puerto Vallarta (Pu Figure 1 modified after Verma 2002) This Miocene to Recent province more than 1000 km long and about 200ndash500 km wide houses over 8000 volcanoes (some being active) and several geothermally promising areas two of which are already producing electricity as well as numerous

Figure 1 Simplified regional tectonics of southern Mexico and Central America showing the approximate location of the Mexican Volcanic Belt (MVB) and Central American Volcanic Arc (CAVA) map modified after Verma (2002) The MVB is approximately subdivided into Wndashwestern WCndashwest-central Cndashcentral and Endasheastern parts The box in the eastern part of the MVB is the main study area The location of the Middle America Trench (MAT) is shown by thick blue curve Other tectonic and volcanic features are EPRndashEast Pacific Rise TeRndashTehuantepec Ridge CoRndashCocos Ridge MPFndashMotagua-Polochic fault system QSCndashQuesada sharp contortion and LTVFndashLos Tuxtlas Volcanic Field The countries are GndashGuatemala SndashEl Salvador HndashHonduras NndashNicaragua CndashCosta Rica PndashPanama The Mexican cities are PundashPuerto Vallarta VndashVeracruz The traces marked by numbers 5 to 25 on the oceanic Cocos plate give the approximate age of the oceanic plate the dashed-dotted lines marked by numbers 20 to 200 on the continental (North American and Caribbean) plates indicate the approximate depth of the subducted Cocos plate (note the truncation of 80-km and 100-km depth contours in the study area even the correctness of the contours in front of the LTVF has been criticized by Verma (2006 2009) the numbers ndash1000 ndash500 0 +500 and +1000 represent the approximate horizontal distance in kilometers from the triple junction represented by the intersection of three plates (Cocos North American and Caribbean) the negative numbers are for Mexico whereas the positive numbers are for Central America These distances were used by Verma (2002) to compare and contrast the volcanism in southern Mexico with the CAVA Simplified fracture and fault main patterns are also shown schematically using dashed curves

8286909498102106

10

15

20MVB Study area

WCE

W

C LTVF

ChG

H

NS

CP

QSC

TeR

CoR

0

-500

-1000

+500

+1000

EPR

W

N

40

8060

100

20

200

MAT

MATMexico

MPF

North American plate

Cocos plate

Rivera plate

Pacific plate

Caribbean plate

20

15105

25

CAVA

V

Pu

113

VERMA Turkish J Earth Sci

mineralized areas under exploitation The tectonic models include the conventional subduction-related origin (eg Molnar and Sykes 1969 Negendank et al 1981 1985 Suarez and Singh 1986 Pardo and Suaacuterez 1995 Goacutemez-Tuena et al 2003 Carrasco-Nuacutentildeez et al 2005) Alternative models have been proposed since the early days of Alexander von Humboldt in 1808 These include fracture-related origin (eg von Humboldt 1808 Mooser and Maldonado-Koerdell 1961 Mooser 1969 De Cserna 1971) transtension or intraplate transform (eg Shurbet and Cebull 1984 Cebull and Shurbet 1987) plume-related origin (eg Moore et al 1994 Maacuterquez et al 1999a) extension or rift-related origin (eg Sheth et al 2000 Maacuterquez et al 2001 Verma 2002 2004 2009) and a slab-detachment model (eg Ferrari 2004) Thus its origin has been highly debated (eg Ferrari and Rosas-Elguera 1999 Maacuterquez et al 1999b Blatter et al 2001 Ferrari et al 2002 Verma 2002 2004 2009 Torres-Alvarado and Verma 2003 Goacutemez-Tuena et al 2007 Peacuterez-Campos et al 2008 Pacheco and Singh 2010 Verma et al 2011)

The MVB contains mainly late Neogene to Quaternary (late Miocene to Holocene and even historic) eruptive products Unfortunately the samples for geochemistry are seldom specifically dated although ages can be assumed for most of them based on other dated samples This study is concerned with the eastern part of the MVB (E-MVB) where the analyzed and compiled samples mostly span a narrow range of less than 5 my and all of them can be treated together Similarly there is no age-specific difference between the basic and evolved (intermediate and acid) rocks they are considered as contemporary

However to the south of Mexico the Central American Volcanic Arc (CAVA) from Guatemala to northwestern Costa Rica located in the Caribbean Plate presumably originated from the subduction of the same oceanic Cocos plate that subducts beneath the North American plate (Figure 1) The CAVA a continental arc subparallel to the Middle America Trench (MAT see the orientations of the CAVA and MAT in Figure 1) is considered a classic arc-trench system (eg Carr et al 1982 Carr and Rose 1986 Feigenson and Carr 1993 Leeman and Carr 1995 Carr et al 2007) The compiled samples also are of similar ages as those from the MVB namely late Neogene to Quaternary

On the other hand highly efficient and appropriate computational tools such as DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) OYNYL (Verma et al 2006a) and UDASYS (Verma et al 2013a) for applying discordancy and significance tests (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005) have recently been developed The statistical inference in these programs is made through the new highly precise and accurate critical values obtained from Monte Carlo simulations (Verma and Quiroz-Ruiz 2008 2011 Verma

et al 2008 Cruz-Huicochea and Verma 2013 Verma and Cruz-Huicochea 2013)

Besides the conventional techniques of multielement normalized diagrams my aim is to illustrate the use of the new geochemical tools of multidimensional tectonomagmatic diagrams log-ratio transformed variables and discordancy and significance tests thus providing further constraints on the origin and tectonic setting of the E-MVB and comparing this subprovince with the CAVA This paper should reinforce new guidelines in geological and geochemical research

2 New analytical dataI present new geochemical data for 1 volcanic rock sample from the Acoculco caldera area 6 from the La Malinche volcano and 18 from the Domos Las Derrumbadas area (Tables 1 and 2) Major and trace elements were obtained from X-ray fluorescence spectrometry at the Johannes Gutenberg University Mainz Germany and rare-earth elements from high-performance liquid chromatography at the Max Planck Institute for Chemistry (MPI) Mainz Germany The analytical details and accuracy estimates were given by Verma (1991a 1991b) and Verma et al (1992) Radiogenic isotopes were analyzed on two fully automated MAT 261 mass spectrometers at the MPI using procedures summarized by Verma (1992) (i) triple-collector for Nd and Pb and (ii) double-collector later transformed to multicollector for Sr

3 Databases and procedures31 Database for the E-MVBThe database for the eastern part of the MVB was constructed from several sources (approximately from west to east) the Tecocomulco area (Santiago TetlapayacndashEl TepozaacutenndashSanta Cruz Hidalgo State Correa Tello 2011) the La Malinche volcano area (~9803degW ~1931degN Castro Govea 1999 2007 Verma 2002 this work) the Tulancingo-Acoculco caldera area (~9816degW ~1990degN Verma 2001a 2002 Loacutepez Hernaacutendez 2009 this work) the Domos Las Derrumbadas area (~9803degW ~1931degN Negendank et al 1985 Siebe and Verma 1988 Verma 2002 this work) Los Humeros caldera (Verma and Lopez 1982 Verma 1983 1984 2000a Ferriz and Mahood 1987 Carrasco-Nuacutentildeez and Branney 2005 Carrasco-Nuacutentildeez et al 2012) the Citlaacuteltepetl or Pico de Orizaba volcano area (Kudo et al 1985 Siebe et al 1993 Carrasco-Nuacutentildeez and Rose 1995 Carrasco-Nuacutentildeez 2000 Rossotti et al 2006 Schaaf and Carrasco-Nuacutentildeez 2010) the Quezalapa-Las Cumbres area (Rodriacuteguez et al 2002) the Cofre de Perote area (Carrasco-Nuacutentildeez et al 2005 2010) Mesa Buen Paiacutes (Daacutevalos Elizondo 2009) the Palma Sola area (Negendank et al 1985 Orozco-Esquivel 1995 Goacutemez-Tuena et al 2003) the Southern volcanic area (Orozco-Esquivel et al

114

VERMA Turkish J Earth Sci

Table 1 New geochemical and isotopic data for volcanic rock samples from the Acoculco caldera and La Malinche volcano eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basalt Dacite Dacite Dacite Dacite Dacite Dacite

SiO2 4958 642 6566 6264 6285 6303 6395

TiO2 178 066 058 070 070 068 068

Al2O3 1818 1621 1647 1684 1666 1686 1658

Fe2O3T 1082 439 382 493 498 481 459

MnO 0159 0073 0066 0084 0087 0082 0080

MgO 611 231 210 290 301 287 252

CaO 885 434 424 493 504 5095 474

Na2O 37 444 452 422 413 418 462

K2O 083 211 189 190 190 186 198

P2O5 0280 0172 0152 0159 0162 0156 0178

LOI 000 127 024 058 021 021 060

Sum 10029 10018 9974 9987 9974 9983 10052

(SiO2)adj 49894 65124 66177 63324 63380 63493 64220

(Na2O + K2O)adj 4559 6644 6455 6183 6079 6084 6628

Q 000 1723 1938 1523 1562 1576 1531

Or 494 1265 1126 1135 1129 1110 1175

Ab 3151 3811 3851 3607 3527 3559 3926

An 3074 1833 1925 2163 2150 2191 1873

Di 950 193 078 165 214 2054 302

Hy 322 836 789 1046 1051 1007 845

Ol 1363 000 000 000 000 000 000

Mt 241 171 148 191 193 186 177

Il 340 127 111 133 135 130 130

Ap 065 040 035 037 038 036 041

Mg 5690 5864 5961 6131 6192 6166 5966

FeOTMgO 159 171 164 153 149 151 164

Ba ndashndashndash ndashndashndash 500 487 481 476 518

Co ndashndashndash ndashndashndash 20 18 20 23 18

Cr ndashndashndash ndashndashndash 44 74 58 46 44

Cu ndashndashndash ndashndashndash 4 5 6 6 6

Nb ndashndashndash ndashndashndash 37 49 41 48 42

Ni ndashndashndash ndashndashndash 12 18 13 11 12

Rb ndashndashndash ndashndashndash 36 43 43 41 45

Sr ndashndashndash ndashndashndash 611 558 558 571 600

115

VERMA Turkish J Earth Sci

Table 1 (Continued)

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basaltDacite Dacite Dacite Dacite Dacite Dacite

V ndashndashndash ndashndashndash 66 94 90 105 66

Y ndashndashndash ndashndashndash 122 163 164 170 152

Zn ndashndashndash ndashndashndash 54 58 58 60 64

Zr ndashndashndash ndashndashndash 130 136 141 132 128

(87Sr86Sr)m 0703953 0704976 0704493 0704576 0704591 0704629 0704554

(143Nd144Nd)m 0512828 0512632 0512758 0512692 0512741 0512729 05127125

Abbreviations The subscript adj refers to adjusted data (anhydrous 100 adjusted basis) Mg = 100 Mg2+(Mg2+ + Fe2+) atomic FeOT = total iron expressed as FeO computer program for adjustments and norm calculations can be either SINCLAS by Verma et al (2002) or IgRoCS by Verma and Rivera-Goacutemez (2013a) Replicate analyses of major elements were performed for most samples n1ndashnumber of analyses for major elements n2ndashnumber of analyses for trace elements n3ndashnumber of analyses for Sr isotopes (87Sr86Sr) n4ndashnumber of analyses for Nd isotopes (143Nd144Nd) Rounded concentration values were reported the sum may not be consistent sometimes The 87Sr86Sr ratios are normalized to 86Sr88Sr = 011940 and adjusted to SRM987 87Sr86Sr of 0710230 The 143Nd144Nd are normalized to 146Nd144Nd = 072190 and adjusted to La Jolla 143Nd144Nd of 0511860 The measured 87Sr86Sr for the SRM987 standard was 0710216 plusmn 11 (1s n = 36) and the measured 143Nd144Nd for the La Jolla standard was 0511833 plusmn 12 (1s n = 82) during the period of measurement of about 1 year Note the measured isotopic ratios were adjusted following the convention of Mainz (see eg Verma 2002)

Table 2 New geochemical and isotopic data for 18 volcanic rock samples from the Domos Las Derrumbadas area eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkali basalt Basaltic andesite Basaltic andesite Basaltic

andesiteTrachyandesite benmorite Andesite Andesite Andesite Rhyolite

SiO2 5120 5246 5389 56 595 602 6128 6132 702

TiO2 143 114 100 086 077 085 080 060 015

Al2O3 1685 1576 1546 1658 1773 179 1566 1606 1548

Fe2O3T 986 868 782 739 696 592 596 513 264

MnO 0156 014 0122 012 0141 0093 0099 0086 0043

MgO 689 86 851 568 182 280 464 356 032

CaO 929 88 798 726 474 620 536 546 182

116

VERMA Turkish J Earth Sci

Table 2 (Continued)

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkalibasalt

Basaltic andesite

Basalticandesite

Basaltic andesite

Trachyandesite benmorite Andesite Andesite Andesite Rhyolite

Na2O 361 325 352 353 486 444 398 409 430

K2O 101 115 134 168 22 166 2 183 336

P2O5 0294 0276 0311 0219 051 0212 0232 0199 0083

LOI 004 012 034 075 064 017 003 101 128

Sum 100630 100376 100293 100069 99871 100445 100041 99345 99676

(SiO2)adj 51327 52686 54250 56717 60273 60306 61553 62607 71477

(Na2O + K2O)adj 4631 4419 4892 5277 7152 6111 6007 6044 7799

Q 000 000 000 464 882 1004 1174 135 2770

Or 598 683 797 1006 1317 983 1187 1104 2022

Ab 3062 2762 2998 3025 4166 3764 3383 3533 3705

An 2686 2512 2258 2475 2032 2405 1904 2048 864

Di 1419 1359 1222 833 010 440 496 474 000

Hy 593 1663 2035 1750 1054 988 1441 1145 301

Ol 1083 471 184 000 000 000 000 0 000

Mt 219 269 243 231 271 206 208 182 121

Il 272 217 191 165 148 162 153 116 029

Ap 068 064 073 051 120 049 054 047 020

Mg 6203 7137 7325 6591 4133 5520 6697 6438 2582

FeOTMgO 129 091 083 117 344 190 116 13 742

Ba 262 389 440 464 7795 471 799 712 924

Co 32 36 34 26 125 155 20 16 3

Cr 135 396 360 228 45 215 176 98 7

Cu 25 43 305 22 55 95 175 12 3

Nb 100 68 99 55 141 535 1105 44 128

Ni 39 136 1885 57 55 105 91 29 45

Rb 175 195 241 31 5635 398 4055 288 9925

Sr 474 573 705 532 5238 6047 482 779 277

V 162 163 154 138 405 985 865 77 5

Y 241 222 204 2045 3035 20 1835 155 77

Zn 74 80 845 77 875 665 665 62 71

Zr 153 162 155 140 2969 16645 150 138 155

La 69 191 222 131 284 142 ndashndashndash 17 ndashndashndash

Ce 171 425 483 258 629 284 ndashndashndash 337 ndashndashndash

Pr 214 534 599 469 767 369 ndashndashndash 439 ndashndashndash

Nd 986 223 245 159 325 155 ndashndashndash 185 ndashndashndash

Sm 22 47 486 343 638 341 ndashndashndash 361 ndashndashndash

Eu 07 148 147 174 181 109 ndashndashndash 109 ndashndashndash

Gd 23 429 42 675 576 349 ndashndashndash 334 ndashndashndash

Tb 034 061 066 049 081 061 ndashndashndash 048 ndashndashndash

Ho 042 072 062 055 094 062 ndashndashndash 058 ndashndashndash

Er 127 212 2 168 295 187 ndashndashndash 182 ndashndashndash

Tm 019 03 041 027 049 031 ndashndashndash 031 ndashndashndash

Yb 129 208 221 167 327 209 ndashndashndash 19 ndashndashndash

Lu 023 039 036 031 102 026 ndashndashndash 029 ndashndashndash (87Sr86Sr)m 0704206 0704123 0704295 0704965 0704626 0704630 0704459 0704243 0705167

(143Nd144Nd)m 0512774 0512776 0512680 0512593 0512660 0512642 0512651 0512496 0512527

117

VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

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2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

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VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 3: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

113

VERMA Turkish J Earth Sci

mineralized areas under exploitation The tectonic models include the conventional subduction-related origin (eg Molnar and Sykes 1969 Negendank et al 1981 1985 Suarez and Singh 1986 Pardo and Suaacuterez 1995 Goacutemez-Tuena et al 2003 Carrasco-Nuacutentildeez et al 2005) Alternative models have been proposed since the early days of Alexander von Humboldt in 1808 These include fracture-related origin (eg von Humboldt 1808 Mooser and Maldonado-Koerdell 1961 Mooser 1969 De Cserna 1971) transtension or intraplate transform (eg Shurbet and Cebull 1984 Cebull and Shurbet 1987) plume-related origin (eg Moore et al 1994 Maacuterquez et al 1999a) extension or rift-related origin (eg Sheth et al 2000 Maacuterquez et al 2001 Verma 2002 2004 2009) and a slab-detachment model (eg Ferrari 2004) Thus its origin has been highly debated (eg Ferrari and Rosas-Elguera 1999 Maacuterquez et al 1999b Blatter et al 2001 Ferrari et al 2002 Verma 2002 2004 2009 Torres-Alvarado and Verma 2003 Goacutemez-Tuena et al 2007 Peacuterez-Campos et al 2008 Pacheco and Singh 2010 Verma et al 2011)

The MVB contains mainly late Neogene to Quaternary (late Miocene to Holocene and even historic) eruptive products Unfortunately the samples for geochemistry are seldom specifically dated although ages can be assumed for most of them based on other dated samples This study is concerned with the eastern part of the MVB (E-MVB) where the analyzed and compiled samples mostly span a narrow range of less than 5 my and all of them can be treated together Similarly there is no age-specific difference between the basic and evolved (intermediate and acid) rocks they are considered as contemporary

However to the south of Mexico the Central American Volcanic Arc (CAVA) from Guatemala to northwestern Costa Rica located in the Caribbean Plate presumably originated from the subduction of the same oceanic Cocos plate that subducts beneath the North American plate (Figure 1) The CAVA a continental arc subparallel to the Middle America Trench (MAT see the orientations of the CAVA and MAT in Figure 1) is considered a classic arc-trench system (eg Carr et al 1982 Carr and Rose 1986 Feigenson and Carr 1993 Leeman and Carr 1995 Carr et al 2007) The compiled samples also are of similar ages as those from the MVB namely late Neogene to Quaternary

On the other hand highly efficient and appropriate computational tools such as DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) OYNYL (Verma et al 2006a) and UDASYS (Verma et al 2013a) for applying discordancy and significance tests (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005) have recently been developed The statistical inference in these programs is made through the new highly precise and accurate critical values obtained from Monte Carlo simulations (Verma and Quiroz-Ruiz 2008 2011 Verma

et al 2008 Cruz-Huicochea and Verma 2013 Verma and Cruz-Huicochea 2013)

Besides the conventional techniques of multielement normalized diagrams my aim is to illustrate the use of the new geochemical tools of multidimensional tectonomagmatic diagrams log-ratio transformed variables and discordancy and significance tests thus providing further constraints on the origin and tectonic setting of the E-MVB and comparing this subprovince with the CAVA This paper should reinforce new guidelines in geological and geochemical research

2 New analytical dataI present new geochemical data for 1 volcanic rock sample from the Acoculco caldera area 6 from the La Malinche volcano and 18 from the Domos Las Derrumbadas area (Tables 1 and 2) Major and trace elements were obtained from X-ray fluorescence spectrometry at the Johannes Gutenberg University Mainz Germany and rare-earth elements from high-performance liquid chromatography at the Max Planck Institute for Chemistry (MPI) Mainz Germany The analytical details and accuracy estimates were given by Verma (1991a 1991b) and Verma et al (1992) Radiogenic isotopes were analyzed on two fully automated MAT 261 mass spectrometers at the MPI using procedures summarized by Verma (1992) (i) triple-collector for Nd and Pb and (ii) double-collector later transformed to multicollector for Sr

3 Databases and procedures31 Database for the E-MVBThe database for the eastern part of the MVB was constructed from several sources (approximately from west to east) the Tecocomulco area (Santiago TetlapayacndashEl TepozaacutenndashSanta Cruz Hidalgo State Correa Tello 2011) the La Malinche volcano area (~9803degW ~1931degN Castro Govea 1999 2007 Verma 2002 this work) the Tulancingo-Acoculco caldera area (~9816degW ~1990degN Verma 2001a 2002 Loacutepez Hernaacutendez 2009 this work) the Domos Las Derrumbadas area (~9803degW ~1931degN Negendank et al 1985 Siebe and Verma 1988 Verma 2002 this work) Los Humeros caldera (Verma and Lopez 1982 Verma 1983 1984 2000a Ferriz and Mahood 1987 Carrasco-Nuacutentildeez and Branney 2005 Carrasco-Nuacutentildeez et al 2012) the Citlaacuteltepetl or Pico de Orizaba volcano area (Kudo et al 1985 Siebe et al 1993 Carrasco-Nuacutentildeez and Rose 1995 Carrasco-Nuacutentildeez 2000 Rossotti et al 2006 Schaaf and Carrasco-Nuacutentildeez 2010) the Quezalapa-Las Cumbres area (Rodriacuteguez et al 2002) the Cofre de Perote area (Carrasco-Nuacutentildeez et al 2005 2010) Mesa Buen Paiacutes (Daacutevalos Elizondo 2009) the Palma Sola area (Negendank et al 1985 Orozco-Esquivel 1995 Goacutemez-Tuena et al 2003) the Southern volcanic area (Orozco-Esquivel et al

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VERMA Turkish J Earth Sci

Table 1 New geochemical and isotopic data for volcanic rock samples from the Acoculco caldera and La Malinche volcano eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basalt Dacite Dacite Dacite Dacite Dacite Dacite

SiO2 4958 642 6566 6264 6285 6303 6395

TiO2 178 066 058 070 070 068 068

Al2O3 1818 1621 1647 1684 1666 1686 1658

Fe2O3T 1082 439 382 493 498 481 459

MnO 0159 0073 0066 0084 0087 0082 0080

MgO 611 231 210 290 301 287 252

CaO 885 434 424 493 504 5095 474

Na2O 37 444 452 422 413 418 462

K2O 083 211 189 190 190 186 198

P2O5 0280 0172 0152 0159 0162 0156 0178

LOI 000 127 024 058 021 021 060

Sum 10029 10018 9974 9987 9974 9983 10052

(SiO2)adj 49894 65124 66177 63324 63380 63493 64220

(Na2O + K2O)adj 4559 6644 6455 6183 6079 6084 6628

Q 000 1723 1938 1523 1562 1576 1531

Or 494 1265 1126 1135 1129 1110 1175

Ab 3151 3811 3851 3607 3527 3559 3926

An 3074 1833 1925 2163 2150 2191 1873

Di 950 193 078 165 214 2054 302

Hy 322 836 789 1046 1051 1007 845

Ol 1363 000 000 000 000 000 000

Mt 241 171 148 191 193 186 177

Il 340 127 111 133 135 130 130

Ap 065 040 035 037 038 036 041

Mg 5690 5864 5961 6131 6192 6166 5966

FeOTMgO 159 171 164 153 149 151 164

Ba ndashndashndash ndashndashndash 500 487 481 476 518

Co ndashndashndash ndashndashndash 20 18 20 23 18

Cr ndashndashndash ndashndashndash 44 74 58 46 44

Cu ndashndashndash ndashndashndash 4 5 6 6 6

Nb ndashndashndash ndashndashndash 37 49 41 48 42

Ni ndashndashndash ndashndashndash 12 18 13 11 12

Rb ndashndashndash ndashndashndash 36 43 43 41 45

Sr ndashndashndash ndashndashndash 611 558 558 571 600

115

VERMA Turkish J Earth Sci

Table 1 (Continued)

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basaltDacite Dacite Dacite Dacite Dacite Dacite

V ndashndashndash ndashndashndash 66 94 90 105 66

Y ndashndashndash ndashndashndash 122 163 164 170 152

Zn ndashndashndash ndashndashndash 54 58 58 60 64

Zr ndashndashndash ndashndashndash 130 136 141 132 128

(87Sr86Sr)m 0703953 0704976 0704493 0704576 0704591 0704629 0704554

(143Nd144Nd)m 0512828 0512632 0512758 0512692 0512741 0512729 05127125

Abbreviations The subscript adj refers to adjusted data (anhydrous 100 adjusted basis) Mg = 100 Mg2+(Mg2+ + Fe2+) atomic FeOT = total iron expressed as FeO computer program for adjustments and norm calculations can be either SINCLAS by Verma et al (2002) or IgRoCS by Verma and Rivera-Goacutemez (2013a) Replicate analyses of major elements were performed for most samples n1ndashnumber of analyses for major elements n2ndashnumber of analyses for trace elements n3ndashnumber of analyses for Sr isotopes (87Sr86Sr) n4ndashnumber of analyses for Nd isotopes (143Nd144Nd) Rounded concentration values were reported the sum may not be consistent sometimes The 87Sr86Sr ratios are normalized to 86Sr88Sr = 011940 and adjusted to SRM987 87Sr86Sr of 0710230 The 143Nd144Nd are normalized to 146Nd144Nd = 072190 and adjusted to La Jolla 143Nd144Nd of 0511860 The measured 87Sr86Sr for the SRM987 standard was 0710216 plusmn 11 (1s n = 36) and the measured 143Nd144Nd for the La Jolla standard was 0511833 plusmn 12 (1s n = 82) during the period of measurement of about 1 year Note the measured isotopic ratios were adjusted following the convention of Mainz (see eg Verma 2002)

Table 2 New geochemical and isotopic data for 18 volcanic rock samples from the Domos Las Derrumbadas area eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkali basalt Basaltic andesite Basaltic andesite Basaltic

andesiteTrachyandesite benmorite Andesite Andesite Andesite Rhyolite

SiO2 5120 5246 5389 56 595 602 6128 6132 702

TiO2 143 114 100 086 077 085 080 060 015

Al2O3 1685 1576 1546 1658 1773 179 1566 1606 1548

Fe2O3T 986 868 782 739 696 592 596 513 264

MnO 0156 014 0122 012 0141 0093 0099 0086 0043

MgO 689 86 851 568 182 280 464 356 032

CaO 929 88 798 726 474 620 536 546 182

116

VERMA Turkish J Earth Sci

Table 2 (Continued)

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkalibasalt

Basaltic andesite

Basalticandesite

Basaltic andesite

Trachyandesite benmorite Andesite Andesite Andesite Rhyolite

Na2O 361 325 352 353 486 444 398 409 430

K2O 101 115 134 168 22 166 2 183 336

P2O5 0294 0276 0311 0219 051 0212 0232 0199 0083

LOI 004 012 034 075 064 017 003 101 128

Sum 100630 100376 100293 100069 99871 100445 100041 99345 99676

(SiO2)adj 51327 52686 54250 56717 60273 60306 61553 62607 71477

(Na2O + K2O)adj 4631 4419 4892 5277 7152 6111 6007 6044 7799

Q 000 000 000 464 882 1004 1174 135 2770

Or 598 683 797 1006 1317 983 1187 1104 2022

Ab 3062 2762 2998 3025 4166 3764 3383 3533 3705

An 2686 2512 2258 2475 2032 2405 1904 2048 864

Di 1419 1359 1222 833 010 440 496 474 000

Hy 593 1663 2035 1750 1054 988 1441 1145 301

Ol 1083 471 184 000 000 000 000 0 000

Mt 219 269 243 231 271 206 208 182 121

Il 272 217 191 165 148 162 153 116 029

Ap 068 064 073 051 120 049 054 047 020

Mg 6203 7137 7325 6591 4133 5520 6697 6438 2582

FeOTMgO 129 091 083 117 344 190 116 13 742

Ba 262 389 440 464 7795 471 799 712 924

Co 32 36 34 26 125 155 20 16 3

Cr 135 396 360 228 45 215 176 98 7

Cu 25 43 305 22 55 95 175 12 3

Nb 100 68 99 55 141 535 1105 44 128

Ni 39 136 1885 57 55 105 91 29 45

Rb 175 195 241 31 5635 398 4055 288 9925

Sr 474 573 705 532 5238 6047 482 779 277

V 162 163 154 138 405 985 865 77 5

Y 241 222 204 2045 3035 20 1835 155 77

Zn 74 80 845 77 875 665 665 62 71

Zr 153 162 155 140 2969 16645 150 138 155

La 69 191 222 131 284 142 ndashndashndash 17 ndashndashndash

Ce 171 425 483 258 629 284 ndashndashndash 337 ndashndashndash

Pr 214 534 599 469 767 369 ndashndashndash 439 ndashndashndash

Nd 986 223 245 159 325 155 ndashndashndash 185 ndashndashndash

Sm 22 47 486 343 638 341 ndashndashndash 361 ndashndashndash

Eu 07 148 147 174 181 109 ndashndashndash 109 ndashndashndash

Gd 23 429 42 675 576 349 ndashndashndash 334 ndashndashndash

Tb 034 061 066 049 081 061 ndashndashndash 048 ndashndashndash

Ho 042 072 062 055 094 062 ndashndashndash 058 ndashndashndash

Er 127 212 2 168 295 187 ndashndashndash 182 ndashndashndash

Tm 019 03 041 027 049 031 ndashndashndash 031 ndashndashndash

Yb 129 208 221 167 327 209 ndashndashndash 19 ndashndashndash

Lu 023 039 036 031 102 026 ndashndashndash 029 ndashndashndash (87Sr86Sr)m 0704206 0704123 0704295 0704965 0704626 0704630 0704459 0704243 0705167

(143Nd144Nd)m 0512774 0512776 0512680 0512593 0512660 0512642 0512651 0512496 0512527

117

VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

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2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 4: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

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VERMA Turkish J Earth Sci

Table 1 New geochemical and isotopic data for volcanic rock samples from the Acoculco caldera and La Malinche volcano eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basalt Dacite Dacite Dacite Dacite Dacite Dacite

SiO2 4958 642 6566 6264 6285 6303 6395

TiO2 178 066 058 070 070 068 068

Al2O3 1818 1621 1647 1684 1666 1686 1658

Fe2O3T 1082 439 382 493 498 481 459

MnO 0159 0073 0066 0084 0087 0082 0080

MgO 611 231 210 290 301 287 252

CaO 885 434 424 493 504 5095 474

Na2O 37 444 452 422 413 418 462

K2O 083 211 189 190 190 186 198

P2O5 0280 0172 0152 0159 0162 0156 0178

LOI 000 127 024 058 021 021 060

Sum 10029 10018 9974 9987 9974 9983 10052

(SiO2)adj 49894 65124 66177 63324 63380 63493 64220

(Na2O + K2O)adj 4559 6644 6455 6183 6079 6084 6628

Q 000 1723 1938 1523 1562 1576 1531

Or 494 1265 1126 1135 1129 1110 1175

Ab 3151 3811 3851 3607 3527 3559 3926

An 3074 1833 1925 2163 2150 2191 1873

Di 950 193 078 165 214 2054 302

Hy 322 836 789 1046 1051 1007 845

Ol 1363 000 000 000 000 000 000

Mt 241 171 148 191 193 186 177

Il 340 127 111 133 135 130 130

Ap 065 040 035 037 038 036 041

Mg 5690 5864 5961 6131 6192 6166 5966

FeOTMgO 159 171 164 153 149 151 164

Ba ndashndashndash ndashndashndash 500 487 481 476 518

Co ndashndashndash ndashndashndash 20 18 20 23 18

Cr ndashndashndash ndashndashndash 44 74 58 46 44

Cu ndashndashndash ndashndashndash 4 5 6 6 6

Nb ndashndashndash ndashndashndash 37 49 41 48 42

Ni ndashndashndash ndashndashndash 12 18 13 11 12

Rb ndashndashndash ndashndashndash 36 43 43 41 45

Sr ndashndashndash ndashndashndash 611 558 558 571 600

115

VERMA Turkish J Earth Sci

Table 1 (Continued)

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basaltDacite Dacite Dacite Dacite Dacite Dacite

V ndashndashndash ndashndashndash 66 94 90 105 66

Y ndashndashndash ndashndashndash 122 163 164 170 152

Zn ndashndashndash ndashndashndash 54 58 58 60 64

Zr ndashndashndash ndashndashndash 130 136 141 132 128

(87Sr86Sr)m 0703953 0704976 0704493 0704576 0704591 0704629 0704554

(143Nd144Nd)m 0512828 0512632 0512758 0512692 0512741 0512729 05127125

Abbreviations The subscript adj refers to adjusted data (anhydrous 100 adjusted basis) Mg = 100 Mg2+(Mg2+ + Fe2+) atomic FeOT = total iron expressed as FeO computer program for adjustments and norm calculations can be either SINCLAS by Verma et al (2002) or IgRoCS by Verma and Rivera-Goacutemez (2013a) Replicate analyses of major elements were performed for most samples n1ndashnumber of analyses for major elements n2ndashnumber of analyses for trace elements n3ndashnumber of analyses for Sr isotopes (87Sr86Sr) n4ndashnumber of analyses for Nd isotopes (143Nd144Nd) Rounded concentration values were reported the sum may not be consistent sometimes The 87Sr86Sr ratios are normalized to 86Sr88Sr = 011940 and adjusted to SRM987 87Sr86Sr of 0710230 The 143Nd144Nd are normalized to 146Nd144Nd = 072190 and adjusted to La Jolla 143Nd144Nd of 0511860 The measured 87Sr86Sr for the SRM987 standard was 0710216 plusmn 11 (1s n = 36) and the measured 143Nd144Nd for the La Jolla standard was 0511833 plusmn 12 (1s n = 82) during the period of measurement of about 1 year Note the measured isotopic ratios were adjusted following the convention of Mainz (see eg Verma 2002)

Table 2 New geochemical and isotopic data for 18 volcanic rock samples from the Domos Las Derrumbadas area eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkali basalt Basaltic andesite Basaltic andesite Basaltic

andesiteTrachyandesite benmorite Andesite Andesite Andesite Rhyolite

SiO2 5120 5246 5389 56 595 602 6128 6132 702

TiO2 143 114 100 086 077 085 080 060 015

Al2O3 1685 1576 1546 1658 1773 179 1566 1606 1548

Fe2O3T 986 868 782 739 696 592 596 513 264

MnO 0156 014 0122 012 0141 0093 0099 0086 0043

MgO 689 86 851 568 182 280 464 356 032

CaO 929 88 798 726 474 620 536 546 182

116

VERMA Turkish J Earth Sci

Table 2 (Continued)

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkalibasalt

Basaltic andesite

Basalticandesite

Basaltic andesite

Trachyandesite benmorite Andesite Andesite Andesite Rhyolite

Na2O 361 325 352 353 486 444 398 409 430

K2O 101 115 134 168 22 166 2 183 336

P2O5 0294 0276 0311 0219 051 0212 0232 0199 0083

LOI 004 012 034 075 064 017 003 101 128

Sum 100630 100376 100293 100069 99871 100445 100041 99345 99676

(SiO2)adj 51327 52686 54250 56717 60273 60306 61553 62607 71477

(Na2O + K2O)adj 4631 4419 4892 5277 7152 6111 6007 6044 7799

Q 000 000 000 464 882 1004 1174 135 2770

Or 598 683 797 1006 1317 983 1187 1104 2022

Ab 3062 2762 2998 3025 4166 3764 3383 3533 3705

An 2686 2512 2258 2475 2032 2405 1904 2048 864

Di 1419 1359 1222 833 010 440 496 474 000

Hy 593 1663 2035 1750 1054 988 1441 1145 301

Ol 1083 471 184 000 000 000 000 0 000

Mt 219 269 243 231 271 206 208 182 121

Il 272 217 191 165 148 162 153 116 029

Ap 068 064 073 051 120 049 054 047 020

Mg 6203 7137 7325 6591 4133 5520 6697 6438 2582

FeOTMgO 129 091 083 117 344 190 116 13 742

Ba 262 389 440 464 7795 471 799 712 924

Co 32 36 34 26 125 155 20 16 3

Cr 135 396 360 228 45 215 176 98 7

Cu 25 43 305 22 55 95 175 12 3

Nb 100 68 99 55 141 535 1105 44 128

Ni 39 136 1885 57 55 105 91 29 45

Rb 175 195 241 31 5635 398 4055 288 9925

Sr 474 573 705 532 5238 6047 482 779 277

V 162 163 154 138 405 985 865 77 5

Y 241 222 204 2045 3035 20 1835 155 77

Zn 74 80 845 77 875 665 665 62 71

Zr 153 162 155 140 2969 16645 150 138 155

La 69 191 222 131 284 142 ndashndashndash 17 ndashndashndash

Ce 171 425 483 258 629 284 ndashndashndash 337 ndashndashndash

Pr 214 534 599 469 767 369 ndashndashndash 439 ndashndashndash

Nd 986 223 245 159 325 155 ndashndashndash 185 ndashndashndash

Sm 22 47 486 343 638 341 ndashndashndash 361 ndashndashndash

Eu 07 148 147 174 181 109 ndashndashndash 109 ndashndashndash

Gd 23 429 42 675 576 349 ndashndashndash 334 ndashndashndash

Tb 034 061 066 049 081 061 ndashndashndash 048 ndashndashndash

Ho 042 072 062 055 094 062 ndashndashndash 058 ndashndashndash

Er 127 212 2 168 295 187 ndashndashndash 182 ndashndashndash

Tm 019 03 041 027 049 031 ndashndashndash 031 ndashndashndash

Yb 129 208 221 167 327 209 ndashndashndash 19 ndashndashndash

Lu 023 039 036 031 102 026 ndashndashndash 029 ndashndashndash (87Sr86Sr)m 0704206 0704123 0704295 0704965 0704626 0704630 0704459 0704243 0705167

(143Nd144Nd)m 0512774 0512776 0512680 0512593 0512660 0512642 0512651 0512496 0512527

117

VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

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VERMA Turkish J Earth Sci

2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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VERMA Turkish J Earth Sci

Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

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VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

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The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

Agostini S Corti G Doglioni C Carminati E Innocenti F Tonarini S Manetti P Di Vincenzo G Montanari D (2006) Tectonic and magmatic evolution of the active volcanic front in El Salvador insight into the Berliacuten and Ahuachapaacuten geothermal areas Geothermics 35 368ndash408

Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

159

VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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VERMA Turkish J Earth Sci

Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

161

VERMA Turkish J Earth Sci

Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

Negendank JFW Emmermann R Krawczyk R Mooser F Tobschall H Werle D (1985) Geological and geochemical investigations on the eastern Trans Mexican Volcanic Belt Geofis Int 24 477ndash575

Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

162

VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

164

VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 5: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

115

VERMA Turkish J Earth Sci

Table 1 (Continued)

Sample CHG03 MAL02 MAL03 MAL04 MAL05 MAL06 MAL07

Long (degW) ndash9818500 ndash980319 ndash9803194 ndash980319 ndash980319 ndash980319 ndash980319

Lat (degN) +1991667 +192308 +1923083 +192308 +192308 +192308 +192308

Area Acoculco caldera

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

La Malinche volcano

Age Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary Quaternary

n1 n2 n3 n4 1 ndashndashndash 1 1 2 ndashndashndash 1 1 2 2 1 1 6 2 1 2 6 2 2 2 6 2 3 2 2 2 2 2

Magma type Basic Acid Acid Acid Acid Acid Acid

Rock type Subalkali basaltDacite Dacite Dacite Dacite Dacite Dacite

V ndashndashndash ndashndashndash 66 94 90 105 66

Y ndashndashndash ndashndashndash 122 163 164 170 152

Zn ndashndashndash ndashndashndash 54 58 58 60 64

Zr ndashndashndash ndashndashndash 130 136 141 132 128

(87Sr86Sr)m 0703953 0704976 0704493 0704576 0704591 0704629 0704554

(143Nd144Nd)m 0512828 0512632 0512758 0512692 0512741 0512729 05127125

Abbreviations The subscript adj refers to adjusted data (anhydrous 100 adjusted basis) Mg = 100 Mg2+(Mg2+ + Fe2+) atomic FeOT = total iron expressed as FeO computer program for adjustments and norm calculations can be either SINCLAS by Verma et al (2002) or IgRoCS by Verma and Rivera-Goacutemez (2013a) Replicate analyses of major elements were performed for most samples n1ndashnumber of analyses for major elements n2ndashnumber of analyses for trace elements n3ndashnumber of analyses for Sr isotopes (87Sr86Sr) n4ndashnumber of analyses for Nd isotopes (143Nd144Nd) Rounded concentration values were reported the sum may not be consistent sometimes The 87Sr86Sr ratios are normalized to 86Sr88Sr = 011940 and adjusted to SRM987 87Sr86Sr of 0710230 The 143Nd144Nd are normalized to 146Nd144Nd = 072190 and adjusted to La Jolla 143Nd144Nd of 0511860 The measured 87Sr86Sr for the SRM987 standard was 0710216 plusmn 11 (1s n = 36) and the measured 143Nd144Nd for the La Jolla standard was 0511833 plusmn 12 (1s n = 82) during the period of measurement of about 1 year Note the measured isotopic ratios were adjusted following the convention of Mainz (see eg Verma 2002)

Table 2 New geochemical and isotopic data for 18 volcanic rock samples from the Domos Las Derrumbadas area eastern part of the Mexican Volcanic Belt (E-MVB) Mexico

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkali basalt Basaltic andesite Basaltic andesite Basaltic

andesiteTrachyandesite benmorite Andesite Andesite Andesite Rhyolite

SiO2 5120 5246 5389 56 595 602 6128 6132 702

TiO2 143 114 100 086 077 085 080 060 015

Al2O3 1685 1576 1546 1658 1773 179 1566 1606 1548

Fe2O3T 986 868 782 739 696 592 596 513 264

MnO 0156 014 0122 012 0141 0093 0099 0086 0043

MgO 689 86 851 568 182 280 464 356 032

CaO 929 88 798 726 474 620 536 546 182

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VERMA Turkish J Earth Sci

Table 2 (Continued)

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkalibasalt

Basaltic andesite

Basalticandesite

Basaltic andesite

Trachyandesite benmorite Andesite Andesite Andesite Rhyolite

Na2O 361 325 352 353 486 444 398 409 430

K2O 101 115 134 168 22 166 2 183 336

P2O5 0294 0276 0311 0219 051 0212 0232 0199 0083

LOI 004 012 034 075 064 017 003 101 128

Sum 100630 100376 100293 100069 99871 100445 100041 99345 99676

(SiO2)adj 51327 52686 54250 56717 60273 60306 61553 62607 71477

(Na2O + K2O)adj 4631 4419 4892 5277 7152 6111 6007 6044 7799

Q 000 000 000 464 882 1004 1174 135 2770

Or 598 683 797 1006 1317 983 1187 1104 2022

Ab 3062 2762 2998 3025 4166 3764 3383 3533 3705

An 2686 2512 2258 2475 2032 2405 1904 2048 864

Di 1419 1359 1222 833 010 440 496 474 000

Hy 593 1663 2035 1750 1054 988 1441 1145 301

Ol 1083 471 184 000 000 000 000 0 000

Mt 219 269 243 231 271 206 208 182 121

Il 272 217 191 165 148 162 153 116 029

Ap 068 064 073 051 120 049 054 047 020

Mg 6203 7137 7325 6591 4133 5520 6697 6438 2582

FeOTMgO 129 091 083 117 344 190 116 13 742

Ba 262 389 440 464 7795 471 799 712 924

Co 32 36 34 26 125 155 20 16 3

Cr 135 396 360 228 45 215 176 98 7

Cu 25 43 305 22 55 95 175 12 3

Nb 100 68 99 55 141 535 1105 44 128

Ni 39 136 1885 57 55 105 91 29 45

Rb 175 195 241 31 5635 398 4055 288 9925

Sr 474 573 705 532 5238 6047 482 779 277

V 162 163 154 138 405 985 865 77 5

Y 241 222 204 2045 3035 20 1835 155 77

Zn 74 80 845 77 875 665 665 62 71

Zr 153 162 155 140 2969 16645 150 138 155

La 69 191 222 131 284 142 ndashndashndash 17 ndashndashndash

Ce 171 425 483 258 629 284 ndashndashndash 337 ndashndashndash

Pr 214 534 599 469 767 369 ndashndashndash 439 ndashndashndash

Nd 986 223 245 159 325 155 ndashndashndash 185 ndashndashndash

Sm 22 47 486 343 638 341 ndashndashndash 361 ndashndashndash

Eu 07 148 147 174 181 109 ndashndashndash 109 ndashndashndash

Gd 23 429 42 675 576 349 ndashndashndash 334 ndashndashndash

Tb 034 061 066 049 081 061 ndashndashndash 048 ndashndashndash

Ho 042 072 062 055 094 062 ndashndashndash 058 ndashndashndash

Er 127 212 2 168 295 187 ndashndashndash 182 ndashndashndash

Tm 019 03 041 027 049 031 ndashndashndash 031 ndashndashndash

Yb 129 208 221 167 327 209 ndashndashndash 19 ndashndashndash

Lu 023 039 036 031 102 026 ndashndashndash 029 ndashndashndash (87Sr86Sr)m 0704206 0704123 0704295 0704965 0704626 0704630 0704459 0704243 0705167

(143Nd144Nd)m 0512774 0512776 0512680 0512593 0512660 0512642 0512651 0512496 0512527

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VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

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VERMA Turkish J Earth Sci

2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

123

VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

124

VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

Agostini S Corti G Doglioni C Carminati E Innocenti F Tonarini S Manetti P Di Vincenzo G Montanari D (2006) Tectonic and magmatic evolution of the active volcanic front in El Salvador insight into the Berliacuten and Ahuachapaacuten geothermal areas Geothermics 35 368ndash408

Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

Negendank JFW Emmermann R Krawczyk R Mooser F Tobschall H Werle D (1985) Geological and geochemical investigations on the eastern Trans Mexican Volcanic Belt Geofis Int 24 477ndash575

Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

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VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 6: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

116

VERMA Turkish J Earth Sci

Table 2 (Continued)

Sample E30 E27 E31 E22 E20 E21 E19 E17 E16

Long (degW) ndash974752 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517 ndash9747517

Lat (degN) +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305 +193305

n1 n2 n3 n4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 5 3 2 2 3 6 2 2 1 1 6 2 2 2 6 2 2 1

Magma type Basic Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Intermediate Acid

Rock type Subalkalibasalt

Basaltic andesite

Basalticandesite

Basaltic andesite

Trachyandesite benmorite Andesite Andesite Andesite Rhyolite

Na2O 361 325 352 353 486 444 398 409 430

K2O 101 115 134 168 22 166 2 183 336

P2O5 0294 0276 0311 0219 051 0212 0232 0199 0083

LOI 004 012 034 075 064 017 003 101 128

Sum 100630 100376 100293 100069 99871 100445 100041 99345 99676

(SiO2)adj 51327 52686 54250 56717 60273 60306 61553 62607 71477

(Na2O + K2O)adj 4631 4419 4892 5277 7152 6111 6007 6044 7799

Q 000 000 000 464 882 1004 1174 135 2770

Or 598 683 797 1006 1317 983 1187 1104 2022

Ab 3062 2762 2998 3025 4166 3764 3383 3533 3705

An 2686 2512 2258 2475 2032 2405 1904 2048 864

Di 1419 1359 1222 833 010 440 496 474 000

Hy 593 1663 2035 1750 1054 988 1441 1145 301

Ol 1083 471 184 000 000 000 000 0 000

Mt 219 269 243 231 271 206 208 182 121

Il 272 217 191 165 148 162 153 116 029

Ap 068 064 073 051 120 049 054 047 020

Mg 6203 7137 7325 6591 4133 5520 6697 6438 2582

FeOTMgO 129 091 083 117 344 190 116 13 742

Ba 262 389 440 464 7795 471 799 712 924

Co 32 36 34 26 125 155 20 16 3

Cr 135 396 360 228 45 215 176 98 7

Cu 25 43 305 22 55 95 175 12 3

Nb 100 68 99 55 141 535 1105 44 128

Ni 39 136 1885 57 55 105 91 29 45

Rb 175 195 241 31 5635 398 4055 288 9925

Sr 474 573 705 532 5238 6047 482 779 277

V 162 163 154 138 405 985 865 77 5

Y 241 222 204 2045 3035 20 1835 155 77

Zn 74 80 845 77 875 665 665 62 71

Zr 153 162 155 140 2969 16645 150 138 155

La 69 191 222 131 284 142 ndashndashndash 17 ndashndashndash

Ce 171 425 483 258 629 284 ndashndashndash 337 ndashndashndash

Pr 214 534 599 469 767 369 ndashndashndash 439 ndashndashndash

Nd 986 223 245 159 325 155 ndashndashndash 185 ndashndashndash

Sm 22 47 486 343 638 341 ndashndashndash 361 ndashndashndash

Eu 07 148 147 174 181 109 ndashndashndash 109 ndashndashndash

Gd 23 429 42 675 576 349 ndashndashndash 334 ndashndashndash

Tb 034 061 066 049 081 061 ndashndashndash 048 ndashndashndash

Ho 042 072 062 055 094 062 ndashndashndash 058 ndashndashndash

Er 127 212 2 168 295 187 ndashndashndash 182 ndashndashndash

Tm 019 03 041 027 049 031 ndashndashndash 031 ndashndashndash

Yb 129 208 221 167 327 209 ndashndashndash 19 ndashndashndash

Lu 023 039 036 031 102 026 ndashndashndash 029 ndashndashndash (87Sr86Sr)m 0704206 0704123 0704295 0704965 0704626 0704630 0704459 0704243 0705167

(143Nd144Nd)m 0512774 0512776 0512680 0512593 0512660 0512642 0512651 0512496 0512527

117

VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

118

VERMA Turkish J Earth Sci

2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

119

VERMA Turkish J Earth Sci

deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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VERMA Turkish J Earth Sci

Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

121

VERMA Turkish J Earth Sci

Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

122

VERMA Turkish J Earth Sci

Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

123

VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

124

VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

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Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

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The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

Agostini S Corti G Doglioni C Carminati E Innocenti F Tonarini S Manetti P Di Vincenzo G Montanari D (2006) Tectonic and magmatic evolution of the active volcanic front in El Salvador insight into the Berliacuten and Ahuachapaacuten geothermal areas Geothermics 35 368ndash408

Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

159

VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

161

VERMA Turkish J Earth Sci

Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

Negendank JFW Emmermann R Krawczyk R Mooser F Tobschall H Werle D (1985) Geological and geochemical investigations on the eastern Trans Mexican Volcanic Belt Geofis Int 24 477ndash575

Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

162

VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

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VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

164

VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 7: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

117

VERMA Turkish J Earth Sci

Table 2 (Continued)

E13 E15 E08 E14 E07 E04 E11 E12 E01Long (degW) ndash9753017 ndash9747517 ndash9727350 ndash9747517 ndash9750867 ndash9747850 ndash9757933 ndash9752683 ndash9745367Lat (degN) +192823333 +193305 +192416667 +193305 +192795 +193316667 +192826667 +19299 +192243333n1 n2 n3 n4 2 2 1 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 1 3 2 2 1 2 6 2 1 1Rock type Acid Acid Acid Acid Acid Acid Acid Acid AcidMagma type Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite Rhyolite RhyoliteSiO2 7144 711 7166 715 7106 7282 7366 7443 7348TiO2 014 015 015 015 015 006 006 006 004Al2O3 1564 1552 1564 1561 1554 1405 1418 143 1409Fe2O3

T 258 262 263 256 249 135 148 142 143MnO 0046 0046 0047 0044 0043 0056 0058 0056 0052MgO 024 024 025 024 025 01 01 011 014CaO 184 18 183 181 188 109 097 096 081Na2O 467 458 458 463 446 431 444 442 417K2O 342 34 342 342 342 378 381 384 411P2O5 0080 0082 0082 0082 0084 006 006 0058 0054LOI 023 059 0 0 02 214 102 011 113Sum 100326 100128 100289 100046 99577 99816 99838 99764 99506(SiO2)adj 71496 715601659 715832189 715980188 716295006 746238739 746183013 747620369 747726821(Na2O+ K2O)adj 8096 803164732 799142829 806103568 794315318 829040291 835733079 829684838 842566424Q 2616 2666 2685 2656 2716 3118 3099 3153 3165Or 2023 2022 2019 2024 2037 2289 2281 2279 2472Ab 3955 3901 3871 3923 3804 3737 3806 3757 3591An 861 845 853 847 885 514 448 440 376Di 000 000 000 000 000 000 000 000 000Hy 274 277 278 269 268 148 158 154 167Ol 000 000 000 000 000 000 000 000 000Mt 116 119 118 115 113 062 067 064 065Il 027 029 028 029 029 012 012 011 008Ap 019 019 019 019 020 014 014 013 012Mg 2109 2083 2145 2122 2238 1754 1625 1820 2195FeOTMgO 967 982 947 960 896 1215 1332 1162 919Ba 958 906 961 9545 9465 1008 1019 1055 1024Co 1 25 25 2 5 1 15 1 1Cr 6 3 7 25 45 45 65 55 75Cu 25 15 15 15 1 1Nb 132 129 134 1335 1235 1525 1385 14 1435Ni 5 45 45 4 45 4 5 35 4Rb 10155 10185 1026 10355 1032 1143 1123 11475 121Sr 282 2801 2854 2826 2888 1326 13085 1312 9765V 65 7 7 55 14 6 55 55 5Y 69 78 81 745 77 675 665 65 405Zn 715 755 69 68 735 605 635 565 615Zr 153 1577 1549 155 15555 6165 6185 6255 479La ndashndashndash 826 102 ndashndashndash 148 571 ndashndashndash ndashndashndash 48Ce ndashndashndash 157 27 ndashndashndash 316 112 ndashndashndash ndashndashndash 10Pr ndashndashndash 218 247 ndashndashndash 378 138 ndashndashndash ndashndashndash 13Nd ndashndashndash 887 95 ndashndashndash 148 495 ndashndashndash ndashndashndash 42Sm ndashndashndash 173 173 ndashndashndash 26 096 ndashndashndash ndashndashndash 1Eu ndashndashndash 04 046 ndashndashndash 059 025 ndashndashndash ndashndashndash 02Gd ndashndashndash 142 138 ndashndashndash 184 087 ndashndashndash ndashndashndash 09Tb ndashndashndash 022 02 ndashndashndash 024 017 ndashndashndash ndashndashndash 02Ho ndashndashndash 019 018 ndashndashndash 021 019 ndashndashndash ndashndashndash 022Er ndashndashndash 048 048 ndashndashndash 049 05 ndashndashndash ndashndashndash 038Tm ndashndashndash 009 01 ndashndashndash 01 011 ndashndashndash ndashndashndash 008Yb ndashndashndash 05 058 ndashndashndash 045 053 ndashndashndash ndashndashndash 038Lu ndashndashndash 01 007 ndashndashndash 011 012 ndashndashndash ndashndashndash 008(87Sr86Sr)m 0705238 0705225 0705253 0705218 0705221 0705172 0704965 0704987 0704976

(143Nd144Nd)m 0512536 0512556 0512556 0512520 0512524 0512568 0512613 0512624 0512563

More explanation is given in the footnote of Table 1

Sample

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2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 8: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

118

VERMA Turkish J Earth Sci

2007) the Xapala-Naolinco area (Siebert and Carrasco-Nuacutentildeez 2002 Morales Barrera 2009) and several other localities of the E-MVB (Demant 1981 Negendank et al 1985) 32 Database for the CAVARelatively fresh rock data for samples from the known continental arc tectonic setting were compiled from numerous sources for Guatemala localities or volcanoes such as Cerro Chiquito Cuilapa Guatemala Moyuta Pacaya Santa Mariacutea Tecuamburro and the Tacanaacute volcano partly located in Mexico (Carr 1984 Bardintzeff and Deniel 1992 Duffield et al 1992 Carr et al 1990 Chan et al 1999 Patino et al 1997 Walker et al 2000 Cameron et al 2002 Mora et al 2004 Singer et al 2011) for El Salvador localities or volcanoes such as Ahuachapaacuten Berliacuten Boqueron Cerro Rico Cerro Nejapa Chichontepec IIopango Izalco La Concepcioacuten caldera Santa Ana San Miguel and San Salvador (Carr 1984 Gonzaacutelez Partida et al 1997 Patino et al 1997 Rotolo and Castorina 1998 Chan et al 1999 Walker et al 2000 Agostini et al 2006) for Honduras localities or volcanoes such as Tegucigalpa Yojoa and Zacate (Patino et al 1997 2000 Walker et al 2000) for Nicaragua localities or volcanoes such as Apoyo Asososca Cerro Negro Coseguina El Hormigoacuten Granada Managua Masaya Momotombo Nejapa San Cristobal Telica and Ticomo (Carr 1984 Sussman 1985 Hazlett 1987 Carr et al 1990 Walker et al 1990 2001 Chan et al 1999 Patino et al 1997 Pardo et al 2008 Avellaacuten et al 2012) and for Costa Rica localities or volcanoes such as Arenal Irazu Guayacan Platanar Tenorio and Turrialba (Reagan and Gill 1989 Carr et al 1990 Chan et al 1999 Patino et al 1997 Alvarado et al 2006 Bolge et al 2006 Ryder et al 2006) Clearly altered samples such as hydrothermally altered or intensely weathered samples and those described as altered by the original authors (from petrographic observations) were avoided in the present compilation

Honduras (H) lies behind the trace of the CAVA (the main arc location) as well as far away from the MAT as outlined in Figure 1 Honduran samples are not strictly from the CAVA but they could be called back-arc rocks (Figure 1) These samples are included here to understand how the continental back-arc or behind-the-arc data would behave in these new multidimensional diagrams 33 Data processing proceduresAll data were processed in the SINCLAS module (Verma et al 2002) of the IgRoCS software (Verma and Rivera-Goacutemez 2013b) to automatically determine the magma and rock types under the Middlemost (1989) option for Fe-oxidation adjustment which allowed me to strictly follow the IUGS recommendations for rock classification and nomenclature (Le Bas et al 1986 Le Bas 2000 Le Maitre et al 2002) and treat all major element data in

exactly the same manner The use of 100 adjusted data on an anhydrous basis and after Fe-oxidation adjustment helps minimize the effect of analytical errors and element mobility and makes the use of the TAS diagram more consistent with the IUGS scheme

Commercial software Statistica was used for data compilation and calculation of DF1 and DF2 functions from complex equations and for graphics The 90 equations for 45 diagrams were presented by the original authors (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011 Verma et al 2012 2013b Verma SP and Verma SK 2013) were also reproduced recently in a single source (Verma SP et al 2015) and therefore are not reproduced here Individual sample probability values were computed from the method outlined by Verma and Agrawal (2011) and complemented by Verma (2012) Computer program TecD (Verma and Rivera-Goacutemez 2013b) was used for automatic sample counting in the four tectonic fields of the diagrams for basic and ultrabasic rocks (Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) Similarly for the probability-based counting (concepts explained in Verma and Agrawal 2011 Verma 2012) of intermediate and acid rock samples in different diagrams (Verma SP and Verma SK 2013 Verma et al 2012 2013b) an unpublished computer program TecDIA (Verma SP et al in preparation) was employed

An objective comparison of the data for similar magma types from the E-MVB and CAVA was achieved through the application of discordancy and significance tests (Fisher F and Student t) (Barnett and Lewis 1994 Jensen et al 1997 Miller and Miller 2005 Verma 2005 Verma and Diacuteaz-Gonzaacutelez 2012 Verma et al 2013a)

Conventional petrogenetic interpretation was achieved through multielement normalized diagrams and Sr-Nd radiogenic isotopes

4 Results and discussionAll E-MVB compiled samples including the newly analyzed ones are classified from the TAS diagram (Figure 2a) The compiled rocks from the CAVA are also plotted in the TAS diagram (Figure 2b) In both areas the compiled rocks vary mainly from basalt to rhyolite representing all three types of magmas (basic intermediate and acid) The E-MVB rocks however are more alkali-rich as compared to the CAVA rocks (Figures 2a and 2b)

The total numbers of samples compiled from the E-MVB were 51 115 and 91 respectively for basic intermediate and acid rocks for the CAVA these were 180 413 and 36 samples respectively (Tables 3ndash8)

Tables 3 5 and 7 present a geochemical synthesis of major and trace elements and CIPW normative minerals for the E-MVB whereas Tables 4 6 and 8 provide a summary of the data for the CAVA The final column in each table includes the overall mean and standard

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deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

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VERMA Turkish J Earth Sci

Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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VERMA Turkish J Earth Sci

Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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VERMA Turkish J Earth Sci

Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

124

VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 9: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

119

VERMA Turkish J Earth Sci

deviation values for the E-MVB or CAVA these results are reported as rounded values according to the flexible rules put forth by Verma (2005) The total number of samples compiled from each area is also given the number of data from a given parameter is generally less than this number or equal to it especially for major elements (Tables 3ndash8) The mean geochemical data for individual areas are for all compiled samples whereas the synthesis for each province (the E-MVB or CAVA) was obtained after the separation of discordant outliers from single-outlier type tests applied at the strict 99 confidence level (Verma 2005 Verma et al 2009)41 Application of multielement normalized diagramsChondrite-normalized rare-earth element (REE) plots are shown in Figures 3andash3c for the average data for the La Malinche Las Derrumbadas and Los Humeros areas respectively Figure 3d on the other hand presents normalized average data for the E-MVB crustal rocks Evolved acid rocks from the La Malinche and Las Derrumbadas areas (Figures 3a and 3b) show significantly lower concentrations of all REEs which will be difficult to explain from a simple fractional crystallization process because all partition coefficients are gt1 for most if not all common rock-forming minerals (eg Rollinson 1993 Torres-Alvarado et al 2003) Even the intermediate rocks do not have significantly higher REE concentrations than basic rocks from these two areas (Figures 3a and 3b) For the Los Humeros caldera area both acid and intermediate rocks show significantly higher concentrations for most REEs than the basic rocks however the average values

of the REEs for acid and intermediate rocks do not show significant differences (Figure 3c) These observations (Figures 3andash3c) require a crustal component in the genesis of the evolved magmas The average crustal rock data from the E-MVB are presented in Figure 3d The basic crust seems to have low concentrations of all REEs as compared to the E-MVB volcanic rocks Therefore in principle such an assimilant could provide a suitable endmember for an assimilation combined with a fractional crystallization model for the generation of the evolved E-MVB magmas The REE data would also be consistent with the E-MVB evolved magmas to represent near complete (anatectic) melts of the underlying intermediate and acid crust (Figures 3andash3d DePaolo 1981 Verma 2001b Torres-Alvarado et al 2003) Quantitative models can be easily worked out but it would be better to present and discuss other geochemical and isotopic constraints especially those from the new multidimensional diagrams

The average concentration data are also plotted in a multielement primitive mantle normalized diagram for the E-MVB in Figure 4a and the CAVA in Figure 4b The E-MVB basic rocks do not show the conventional anomaly of high-field strength elements (HFSEs) Nb and Th with respect to the large ion lithophile elements (LILEs) Ba and K (Figure 4a) whereas the CAVA basic rocks clearly show such a negative anomaly (Figure 4b) The intermediate and acid rocks from both provinces (the E-MVB and CAVA) show similar negative Nb anomalies (Figures 4a and 4b) Again the basic crust from the E-MVB could provide an appropriate assimilant for explaining also the LILEs and HFSEs

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTA

TB

AD

TATD

T

R

Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

(a)

SiO2 ( mm adj)

Na 2

O +

K2O

( m

m a

dj)

40 50 60 70 800

4

8

12

BPB

BSN

FOI

TEP

TPH

PHT

BA

BTATB

A

D

TATD

T

R

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

(b)

Figure 2 The total alkalis versus silica (TAS (SiO2)adj ndash (Na2O+K2O)adj) bivariate diagram for volcanic rock classification recommended by the International Union of Geological Sciences (IUGS) showing samples from the (a) eastern part of the Mexican Volcanic Belt (E-MVB) and (b) Central American Volcanic Arc (CAVA) The rock types (fieldnames) are as follows Andashandesite Bndashbasalt BAndashbasaltic andesite BSNndashbasanite BTAndashbasaltic trachyandesite Dndashdacite FOIndashfoidite PBndashpicrobasalt PHTndashphonotephrite Rndashrhyolite Tndashtrachyte TAndashtrachyandesite TBndashtrachybasalt TDndashtrachydacite TEPndashtephrite TPHndashtephriphonolite The magma types are as follows ultrabasicndashlt45 35ndash45 (SiO2)adj basicndash45ndash52 (SiO2)adj intermediatendash52ndash63 (SiO2)adj acidndashgt63 63ndash80 (SiO2)adj The symbols for rock samples are explained as insets

120

VERMA Turkish J Earth Sci

Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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VERMA Turkish J Earth Sci

Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

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Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 10: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

120

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Table 3 Geochemical composition of basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash974656 ndash974932 ndash981314 ndash967939 ndash966706 See Lat (degN) 192866 196697 198040 196780 197505 Figure 1No of samples (data) 4 (le4) 12 (le12) 2 (le2) 0 15 (le15) 21 (le21) 54 (le54)(SiO2)adj 5163 4882 4990 4857 4772 4860 plusmn 167(TiO2)adj 138 177 171 201 220 196 plusmn 051(Al2O3)adj 1612 1716 1773 1648 1632 1654 plusmn 115(Fe2O3)adj 1458 1733 16715 1842 2055 1874 plusmn 0338(FeO)adj 729 866 836 841 892 856 plusmn 095(MnO)adj 0150 0157 016 0166 0175 01695 plusmn 00148(MgO)adj 812 788 700 764 777 776 plusmn 191(CaO)adj 887 959 871 1001 962 965 plusmn 089(Na2O)adj 337 337 370 313 346 334 plusmn 048(K2O)adj 126 057 076 128 114 106 plusmn 048(P2O5)adj 0358 0283 0306 0470 0609 0477 plusmn 0280(Na2O+ K2O)adj 463 394 446 441 460 441 plusmn 074Q 0 0 0 0 0 ndashndashndashOr 744 336 446 757 671 629 plusmn 281Ab 285 281 313 238 245 256 plusmn 52An 2514 3002 2954 2712 2564 2700 plusmn 315Di 1339 1280 953 1583 1474 1443 plusmn 378Hy 953 214 413 184 045 197 plusmn 325Ol 1042 1682 1463 1483 1679 1567 plusmn 364Mt 211 251 242 267 298 272 plusmn 049Il 262 335 326 381 418 374 plusmn 096Ap 083 066 071 109 141 111 plusmn 065Mg 664 614 599 611 598 610 plusmn 64FeOTMgO 107 136 141 140 150 141 plusmn 042Ba 419 136 191 450 434 380 plusmn 156Co 352 410 375 400 401 396 plusmn 89Cr 303 126 78 253 243 235 plusmn 170Cu 332 315 315 492 444 plusmn 151Nb 138 125 132 241 224 199 plusmn 87Ni 129 62 62 97 112 91 plusmn 58Rb 241 89 88 288 218 199 plusmn 95Sr 578 467 570 708 761 684 plusmn 227Th 118 445 401 356 plusmn 168U 045 128 120 106 plusmn 045V 176 178 184 243 2200 plusmn 411Y 238 264 245 280 266 2685 plusmn 429Zn 805 845 845 858 847 plusmn 147Zr 171 157 157 209 195 193 plusmn 51La 183 92 101 301 296 254 plusmn 130Ce 382 232 275 636 604 534 plusmn 248Pr 485 277 32 805 89 704 plusmn 327Nd 194 139 142 337 333 290 plusmn 125Sm 409 347 325 722 736 638 plusmn 238Eu 126 126 112 221 232 201 plusmn 066Gd 364 360 335 652 680 594 plusmn 188Tb 052 065 053 095 099 0881 plusmn 0239Ho 057 072 061 099 102 0930 plusmn 0222Er 162 204 164 258 270 241 plusmn 051Tm 025 028 021 038 0343 plusmn 0087Yb 153 191 154 226 217 2104 plusmn 0419Lu 024 028 025 034 031 0308 plusmn 0064

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Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

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Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

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VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

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VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

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VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

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VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

Agostini S Corti G Doglioni C Carminati E Innocenti F Tonarini S Manetti P Di Vincenzo G Montanari D (2006) Tectonic and magmatic evolution of the active volcanic front in El Salvador insight into the Berliacuten and Ahuachapaacuten geothermal areas Geothermics 35 368ndash408

Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

159

VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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VERMA Turkish J Earth Sci

Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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VERMA Turkish J Earth Sci

Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

Negendank JFW Emmermann R Krawczyk R Mooser F Tobschall H Werle D (1985) Geological and geochemical investigations on the eastern Trans Mexican Volcanic Belt Geofis Int 24 477ndash575

Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

162

VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

164

VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

  • _GoBack
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Page 11: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

121

VERMA Turkish J Earth Sci

Table 4 Geochemical composition of basic volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVA

Long (degW) and Lat (degN) See Figure 1

No of samples (data) 25 (le25) 26 (le26) 25 (le 25) 72 (le72) 32 (le32) 180 (le180)(SiO2)adj 5108 5079 5030 4900 5119 5016 plusmn 145(TiO2)adj 1133 1086 1664 0934 0700 0945 plusmn 0239(Al2O3)adj 1926 1899 1840 1727 2026 1843 plusmn 186(Fe2O3)adj 1530 1666 2047 1758 1479 1661 plusmn 0203(FeO)adj 765 819 752 879 728 812 plusmn 085(MnO)adj 0151 0175 0170 0192 0164 01742 plusmn 00168(MgO)adj 484 506 531 715 560 568 plusmn 153(CaO)adj 987 976 929 1214 1026 1056 plusmn 121(Na2O)adj 340 311 349 223 240 272 plusmn 060(K2O)adj 0837 0948 1365 0391 0505 0508 plusmn 0255(P2O5)adj 0247 0238 0434 0133 0149 0156 plusmn 0068(Na2O+ K2O)adj 423 405 485 262 290 329 plusmn 092Q 00244 0330 0216 0164 2840 ndashndashndashOr 495 560 807 231 298 300 plusmn 151Ab 287 263 273 188 201 227 plusmn 48An 348 351 305 359 414 359 plusmn 58Di 103 97 104 192 70 122 plusmn 58Hy 108 124 79 108 193 122 plusmn 71Ol 54 55 72 81 18 52 plusmn 52Mt 2219 2415 2967 2549 2145 2409 plusmn 0294Il 215 206 316 177 133 180 plusmn 045Ap 0573 0550 1006 0309 0346 0361 plusmn 0158Mg 521 515 553 580 567 560 plusmn 65FeOTMgO 199 207 182 160 166 172 plusmn 047Ba 397 409 433 314 495 348 plusmn 137Co 330 467 250 352 plusmn 126Cr 819 859 825 1377 794 332 plusmn 221Cu 76 129 53 165 102 111 plusmn 56Nb 404 451 2609 411 644 386 plusmn 170Ni 337 442 547 604 469 264 plusmn 157Rb 124 140 160 88 92 103 plusmn 47Sr 592 543 589 406 742 523 plusmn 131Th 1244 1075 1560 0471 0780 0474 plusmn 0212U 0517 0462 0555 0351 0276 0321 plusmn 0176V 250 278 216 303 164 259 plusmn 60Y 214 232 360 180 149 180 plusmn 45Zn 7150 7541 7344 plusmn 346Zr 994 977 1853 530 454 518 plusmn 204La 989 1048 2113 443 1410 656 plusmn 262Ce 234 244 424 111 270 148 plusmn 50Pr 286 374 112 240 286 232 plusmn 054Nd 1519 1565 2515 825 1538 935 plusmn 224Sm 3832 3900 6007 2430 3360 2485 plusmn 0413Eu 1221 1346 1683 0904 1110 0919 plusmn 0129Gd 411 429 599 312 302 305 plusmn 069Tb 0607 0704 0453 0413 0446 plusmn 0092Ho 0794 0878 0610 0504 0584 plusmn 0151Er 2221 2360 3313 1797 1541 1767 plusmn 0426Tm 03800 03567 02433 02167 02137 plusmn 00307Yb 1958 2223 2886 1550 1489 1547 plusmn 0271Lu 03015 03157 02400 02167 02348 plusmn 00437

122

VERMA Turkish J Earth Sci

Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

123

VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

124

VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

Agostini S Corti G Doglioni C Carminati E Innocenti F Tonarini S Manetti P Di Vincenzo G Montanari D (2006) Tectonic and magmatic evolution of the active volcanic front in El Salvador insight into the Berliacuten and Ahuachapaacuten geothermal areas Geothermics 35 368ndash408

Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

159

VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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VERMA Turkish J Earth Sci

Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

161

VERMA Turkish J Earth Sci

Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

Negendank JFW Emmermann R Krawczyk R Mooser F Tobschall H Werle D (1985) Geological and geochemical investigations on the eastern Trans Mexican Volcanic Belt Geofis Int 24 477ndash575

Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

162

VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

164

VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 12: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

122

VERMA Turkish J Earth Sci

Table 5 Geochemical composition of intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area

Los Humeros caldera

Acoculco caldera

Cofre Perote amp Citlaacuteltepetl

Palma Sola area

Southern volcanic area E-MVB

Long (degW) ndash972486 ndash972562 ndash981404 ndash972995 ndash966541 ndash970550 See Lat (degN) 194144 193855 197702 194324 197298 197619 Figure 1No of samples (data) 10 (le10) 55 (le55) 5 (le5) 22 (le22) 10 (le10) 13 (le13) 115 (le115)(SiO2)adj 5666 5700 5541 6034 5460 5535 5709 plusmn 330(TiO2)adj 0974 1337 1128 0942 1314 1542 1247 plusmn 0341(Al2O3)adj 1662 1778 1744 1715 1727 1745 1735 plusmn 090(Fe2O3)adj 1672 1840 1712 1525 2046 1983 1781 plusmn 0316(FeO)adj 513 523 533 413 647 570 509 plusmn 101(MnO)adj 0122 0115 0123 0096 0176 0135 01192 plusmn 00280(MgO)adj 564 351 521 314 461 383 377 plusmn 142(CaO)adj 728 683 802 595 771 682 687 plusmn 149(Na2O)adj 384 409 379 409 369 422 406 plusmn 055(K2O)adj 1754 1925 1528 2362 1729 2359 1814 plusmn 0446(P2O5)adj 0310 0333 0310 0267 0382 0615 0320 plusmn 0084(Na2O+ K2O)adj 560 602 532 645 542 658 604 plusmn 103Q 487 574 289 997 275 262 562 plusmn 424Or 1037 1138 903 1396 1022 1394 1072 plusmn 264Ab 325 346 321 346 312 353 343 plusmn 47An 229 244 261 214 254 216 236 plusmn 54Di 901 596 947 516 848 673 670 plusmn 361Hy 1270 1172 1513 1025 1522 1114 1189 plusmn 402Ol 263 014 0 0007 033 119 ndashndashndashMt 242 267 248 221 297 288 258 plusmn 046Il 185 254 214 179 250 293 237 plusmn 065Ap 0718 0772 0719 0618 0884 1426 0742 plusmn 0195Mg 638 539 635 559 546 512 559 plusmn 68FeOTMgO 142 205 133 193 206 298 187 plusmn 054Ba 659 572 456 531 715 588 plusmn 204Co 228 230 236 247 203 226 plusmn 72Cr 169 24 97 87 96 237 plusmn 181Cu 260 302 318 509 370 plusmn 231Nb 111 125 115 209 301 1168 plusmn 441Ni 74 11 61 43 41 358 plusmn 320Rb 395 444 285 399 596 383 plusmn 159Sr 627 394 587 559 646 525 plusmn 168Th 85 59 49 93 669 plusmn 429U 18 14 28 192 plusmn 126V 99 165 142 188 158 plusmn 52Y 230 246 257 258 315 253 plusmn 58Zn 761 863 814 887 829 plusmn 115Zr 180 208 200 193 325 211 plusmn 84La 217 245 193 303 440 251 plusmn 95Ce 502 508 434 599 856 539 plusmn 198Pr 530 584 526 760 127 427 plusmn 244Nd 227 244 217 305 430 273 plusmn 92Sm 463 531 444 616 869 580 plusmn 187Eu 150 152 129 184 235 175 plusmn 054Gd 464 519 414 552 817 542 plusmn 167Tb 062 078 065 082 110 0819 plusmn 0238Ho 067 087 067 091 114 0873 plusmn 0224Er 207 254 188 248 336 239 plusmn 055Tm 035 035 025 045 0362 plusmn 0093Yb 223 234 169 232 285 235 plusmn 054Lu 043 035 027 035 040 0345 plusmn 0074

123

VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

124

VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

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Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

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VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

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Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

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Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

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VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

164

VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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Page 13: Origin, evolution, and tectonic setting of the eastern part of the … · Geochemistry is concerned mainly with the elucidation ... (Cocos, North American, and Caribbean); the negative

123

VERMA Turkish J Earth Sci

Table 6 Geochemical composition of intermediate volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN)No of samples (data) 119 (le119) 48 (le48) 27 (le27) 26 (le26) 193 (le193) 413 (le413)(SiO2)adj 5618 5738 5379 5518 5532 5449 plusmn 161(TiO2)adj 0855 0863 1052 1166 0602 0637 plusmn 0070(Al2O3)adj 1852 1804 1792 1659 1954 1876 plusmn 112(Fe2O3)adj 1891 1930 2086 2220 1784 1874 plusmn 0219(FeO)adj 591 587 681 723 579 600 plusmn 084(MnO)adj 01482 01622 01675 01848 01665 01600 plusmn 00206(MgO)adj 369 316 463 445 411 395 plusmn 104(CaO)adj 763 709 872 867 885 828 plusmn 125(Na2O)adj 369 372 322 305 308 332 plusmn 047(K2O)adj 1285 1556 1273 1050 0590 0646 plusmn 0170(P2O5)adj 02053 02424 03345 02110 01690 01901 plusmn 00402(Na2O+ K2O)adj 497 528 449 410 367 426 plusmn 081Q 631 821 366 714 785 640 plusmn 353Or 760 920 752 620 348 382 plusmn 101Ab 3121 3147 2721 2585 2607 2805 plusmn 400An 297 277 307 284 373 328 plusmn 55Di 559 491 850 1085 449 535 plusmn 297Hy 1455 1339 1631 1560 1651 1561 plusmn 285Ol 00280 0068 0297 0 0 ndashndashndashMt 2741 2798 3025 3218 2586 2716 plusmn 0318Il 1623 1639 1997 2215 1143 1210 plusmn 0133Ap 0476 0562 0775 0489 0392 0441 plusmn 0093Mg 520 482 542 514 551 532 plusmn 54FeOTMgO 219 262 198 221 189 200 plusmn 054Ba 541 663 658 806 505 541 plusmn 126Co 233 344 215 222 plusmn 52Cr 390 147 653 591 307 271 plusmn 205Cu 421 1061 952 1572 711 742 plusmn 387Nb 360 345 930 687 375 351 plusmn 076Ni 233 94 461 299 224 213 plusmn 148Rb 230 296 243 254 104 114 plusmn 332Sr 498 437 558 443 678 597 plusmn 116Th 1622 2080 1635 1421 0941 0996 plusmn 0352U 0715 1053 0627 1114 0363 0384 plusmn 0126V 184 167 229 253 148 166 plusmn 55Y 247 294 354 261 158 164 plusmn 232Zn 935 805 801 plusmn 88Zr 1138 1195 1285 1007 505 534 plusmn 125La 1085 1386 1851 781 1137 1090 plusmn 282Ce 223 280 366 188 235 229 plusmn 51Pr 367 383 313 311 plusmn 048Nd 1506 1780 2349 1266 1319 1323 plusmn 192Sm 3768 4504 5621 3597 3022 2984 plusmn 0354Eu 1117 1246 1508 1198 1038 1022 plusmn 0098Gd 3948 4655 5569 4246 2951 2970 plusmn 0373Tb 06471 07333 06875 04538 04467 plusmn 00429Ho 0831 0910 0552 0549 plusmn 0046Er 2403 2707 3278 2510 1576 1557 plusmn 0153Tm 04350 03825 02382 02296 plusmn 00204Yb 2171 2549 2666 2300 1561 1508 plusmn 0140Lu 03415 03867 03488 02417 02354 plusmn 00235

124

VERMA Turkish J Earth Sci

Table 7 Geochemical composition of acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Derrumbadas area Los Humeros Acoculco Cofre Perote amp Palma Sola area Southern E-MVB

caldera caldera Citlaacuteltepetl volcanic area

Long (degW) ndash974776 ndash974189 ndash982186 ndash972716 ndash964100 See Lat (degN) 192933 196583 199558 192131 196630 Figure 1No of samples (data) 10 (le10) 53 (le53) 1 (le1) 25 (le25) 1 (le1) 0 90 (le90)(SiO2)adj 7281 7153 7690 6510 6596 6982 plusmn 444(TiO2)adj 0112 0391 015 0623 037 0434 plusmn 0263(Al2O3)adj 1514 1470 1236 1680 1688 1531 plusmn 145(Fe2O3)adj 0663 0782 040 1172 108 0889 plusmn 0368(FeO)adj 1326 1564 079 2804 215 190 plusmn 086(MnO)adj 0050 0046 0053 00774 0130 0059 plusmn 0025(MgO)adj 0200 0555 007 1639 160 074 plusmn 059(CaO)adj 1493 1457 043 4659 342 238 plusmn 170(Na2O)adj 4497 4354 391 4497 569 441 plusmn 055(K2O)adj 3633 4516 492 2442 251 377 plusmn 112(P2O5)adj 0073 0103 0015 0189 0210 0122 plusmn 0074(Na2O+ K2O)adj 813 887 884 694 820 823 plusmn 098Q 286 246 340 170 135 228 plusmn 71Or 215 267 291 144 148 223 plusmn 66Ab 381 368 331 381 482 373 plusmn 47An 69 61 16 184 131 99 plusmn 68Di 0 0337 034 2887 202 ndashndashndashHy 229 288 098 596 570 376 plusmn 226Ol 0 0 0 0 0 0Mt 096 113 057 170 156 129 plusmn 053Il 0212 0743 029 1183 070 082 plusmn 050Ap 0169 0239 0040 0438 049 0283 plusmn 0172Mg 207 346 138 501 571 386 plusmn 132FeOTMgO 101 55 162 25 19 346 plusmn 139Ba 976 742 61 2688 834 plusmn 150Co 20 20 10 96 196 plusmn 147Cr 5 6 10 18 600 plusmn 188Cu 1 4 1 16 142 plusmn 124Nb 135 129 423 265 1305 plusmn 211Ni 4 6 8 7 514 plusmn 142Rb 1074 1115 1670 662 1109 plusmn 184Sr 219 123 5 906 141 plusmn 88Th 187 65 178 plusmn 48U 48 46 483 plusmn 073V 70 33 4 90 219 plusmn 175Y 70 266 432 169 226 plusmn 90Zn 670 422 540 434 541 plusmn 152Zr 117 251 173 81 218 plusmn 94La 88 328 162 463 286 plusmn 131Ce 191 606 208 728 525 plusmn 224Pr 222 501 282 923 427 plusmn 243Nd 85 240 95 343 212 plusmn 92Sm 160 461 161 596 404 plusmn 173Eu 038 063 014 161 0603 plusmn 0401Gd 128 439 14 468 366 plusmn 180Tb 021 069 026 058 0589 plusmn 0248Ho 020 075 031 049 0532 plusmn 0309Er 047 245 096 119 166 plusmn 103Tm 010 034 012 0244 plusmn 0139Yb 049 273 102 100 222 plusmn 102Lu 010 047 016 015 0384 plusmn 0165

125

VERMA Turkish J Earth Sci

Table 8 Geochemical composition of acid volcanic rock samples from the Central American Volcanic Arc (CAVA) obtained from Statistica DODESSYS (Verma and Diacuteaz-Gonzaacutelez 2012) and UDASYS (Verma et al 2013a)

Chemical parameter Guatemala El Salvador Honduras Nicaragua Costa Rica (NW) CAVALong (degW) and Lat (degN) See Figure 1 No of samples (data) 11 (le11) 17 (le17) 2 (le2) 5 (le5) 1 (le1) 36 (le36)(SiO2)adj 6677 6768 6915 6772 6374 6738 plusmn 318(TiO2)adj 0506 0490 0449 0489 0362 0489 plusmn 0154(Al2O3)adj 1632 1609 1539 1579 1746 1617 plusmn 083(Fe2O3)adj 1156 1276 1141 1124 1541 1218 plusmn 0326(FeO)adj 276 282 269 273 385 281 plusmn 084(MnO)adj 01101 01214 00765 01268 02283 01222 plusmn 00225(MgO)adj 133 107 065 126 191 118 plusmn 054(CaO)adj 383 316 239 411 625 351 plusmn 130(Na2O)adj 420 432 505 407 389 428 plusmn 060(K2O)adj 287 283 281 244 076 273 plusmn 089(P2O5)adj 0156 0144 0197 0139 00010 0147 plusmn 0081(Na2O+ K2O)adj 707 714 786 651 466 700 plusmn 093Q 204 224 220 233 200 218 plusmn 56Or 170 167 166 144 45 161 plusmn 53Ab 355 365 427 344 329 362 plusmn 51An 163 138 101 174 279 152 plusmn 53Di 142 075 041 172 255 ndashndashndashHy 610 585 481 581 911 595 plusmn 229Ol 0 0 0 0 0 0Mt 168 185 165 163 223 177 plusmn 047Il 0961 0931 0853 0928 0688 0929 plusmn 0293Ap 0362 0333 0455 0322 00023 0340 plusmn 0188Mg 450 386 252 450 469 409 plusmn 78FeOTMgO 311 425 869 301 274 355 plusmn 099Ba 852 1036 937 1255 592 1018 plusmn 197Co 84 84 plusmn 52Cr 405 400 556 2483 417 plusmn 228Cu 900 1304 687 1049 plusmn 354Nb 555 440 573 503 plusmn 133Ni 345 344 377 086 331 plusmn 121Rb 742 604 223 425 164 516 plusmn 222Sr 322 305 302 388 623 339 plusmn 125Th 572 291 100 478 plusmn 197U 219 156 055 190 plusmn 073V 518 120 250 429 plusmn 358Y 193 308 418 205 276 plusmn 98Zn 94 ndashndashndashZr 179 165 187 145 61 162 plusmn 53La 1663 1890 1982 1268 1702 plusmn 322Ce 3402 3557 3877 2901 2988 plusmn 176Pr 534 497 405 497 plusmn 066Nd 155 235 227 170 203 plusmn 61Sm 366 571 540 394 515 plusmn 177Eu 073 147 136 127 121 plusmn 052Gd 380 502 529 374 477 plusmn 153Tb 0520 0825 0566 0731 plusmn 0315Ho 0730 1310 0688 0909 plusmn 0348Er 222 320 456 203 327 plusmn 134Tm 0560 0326 0443 plusmn 0165Yb 192 336 334 219 281 plusmn 103Lu 0310 0490 0355 0419 plusmn 0169

126

VERMA Turkish J Earth Sci

The Sr-Nd isotope data from the E-MVB and CAVA are plotted in the conventional bivariate diagram (Figure 5) which also includes data from numerous island arcs and continental rifts (unpublished compilation of the author) as well as the mixing curve of basalts and sediments from the subducting slab (Verma 2000b) and Mexican lower and upper crusts The CAVA average data for basic intermediate and acid magmas plot close to each other and are shifted towards the down-going slab mixing curve as are most of the island arc data The samples from the E-MVB plot within the ldquomantle arrayrdquo close to the continental rift samples (Figure 5) Furthermore the average values for basic intermediate and acid E-MVB rocks show significantly different compositions

although all three compositions plot within the mantle array away from the down-going slab The acid rock composition is similar to the Mexican lower crust (Figure 5) These isotopic characteristics of the E-MVB magmas are inconsistent with their derivation from the same source instead they require that the basic and acid rocks originated from different sources (the basic rocks mainly in the mantle and the acid rocks in the underlying crust) The intermediate rocks may represent a mixture of these two types of magmas The available geochemical evidence favors this general model for the E-MVB although locally fractional crystallization may play a dominant role at some specific volcanic centers

Figure 3 Chondrite-normalized REE patterns (chondrite values from McDonough and Sun 1995) for average concentrations of basic intermediate and acid rocks from (a) La Malinche area (b) Las Derrumbadas area (c) Los Humeros area and (d) E-MVB crustal rocks The adjusted silica (SiO2)adj values are also given in each plot Approximate locations of these areas are given in the text in terms of coordinates

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (574)

La Malinche area

Acid (652)

Basic (508)

a

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (582)

Derrumbadas area

Acid (728)

Basic (516)

b

LaCe

PrNd

(Pm)Sm

EuGd

TbDy

HoEr

TmYb

Lu1

5

10

50

100

200

Rock

Cho

ndrit

e

Intermediate (573)

Los Humeros area

Acid (713)

Basic (488)

c

La

CePr

Nd(Pm)

SmEu

GdTb

DyHo

ErTm

YbLu

1

5

10

50

100

200Ro

ckC

hond

rite

Intermediate (534)

E-MVB Crust

Acid (681)

Basic (494)

d

127

VERMA Turkish J Earth Sci

42 Application of multidimensional diagrams Appropriate multidimensional discrimination diagrams specifically proposed for a given magma type were applied to the compiled data from both areas The respective plots are presented in Figures 6 to 11 for basic rocks Figures

12 to 17 for intermediate rocks and Figures 18 to 22 for acid rocks The results are summarized in Tables 9 and 10 11 and 12 and 13 and 14 for basic intermediate and acid rocks respectively 421 Basic rocksThree sets of five diagrams each indicated a continental rift tectonic setting for the E-MVB (Figures 6 8 and 10 Table 9) and an arc setting for the CAVA (Figures 7 9 and 11 Table 10) Application of major element-based diagrams (Verma et al 2006b) to basic rock data from the E-MVB showed that 44 to 50 out of 51 samples (equivalent to about 86 to 98 see the first part of Table 9) plotted in the continental rift field The remaining few samples (7 to 1) were distributed among the three remaining tectonic fields (Figure 6 Table 9) Therefore a continental rift setting is clearly indicated by these diagrams (Figures 6andash6c 6e) and the diagram from which this setting is absent (Figure 6d) can be considered as an inapplicable diagram (Table 9) The other two sets of diagrams based on log-ratios of immobile elements (Figures 8 and 10 Agrawal et al 2008 Verma and Agrawal 2011) confirm this conclusion because most samples plot in the tectonic field of continental rift (see the second and third parts of Table 9)

The same three sets of diagrams (Figures 7 9 and 11 Verma et al 2006b Agrawal et al 2008 Verma and Agrawal 2011) indicated an arc setting for basic rocks from the CAVA because most samples plotted in this field (Table 10) These diagrams (Figures 7 9 and 11) cannot discriminate island arc from continental arc because for

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (490)Int (566)Acid (703)

Basic crust (494)Int crust (529)Acid crust (681)

E-MVBa

Rock

Pr

imiti

ve m

antle

Rb Ba Nb K La Sr P Zr Sm Ti Y Yb005

050

500

5000

50000

Basic (501)Int (560)Acid (651)

CAVAb

0702 0704 0706

(87Sr 86Sr)i

05126

05128

05130

(143

Nd

144 N

d)i

Continental risIsland arcs CAVA

Downgoing slab

2

20

10

5

E-MVB Basic

CAVA

E-MVB Int

E-MVB Acid

Mexican lower crustMexican upper crust+

+ +

Figure 4 Multielement primitive mantle normalized diagram (normalizing values from Sun and McDonough 1989) for average concentrations of basic intermediate and acid rocks from (a) E-MVB for volcanic as well as crustal rocks and (b) CAVA for volcanic rocks The adjusted silica (SiO2)adj values are also given in each plot

Figure 5 Conventional Sr-Nd isotope diagram for the E-MVB and CAVA rocks The trace of the ldquomantle arrayrdquo is from Faure (1986) the trace of the ldquoDowngoing slabrdquo is from Verma (2000b) in which the numbers 2 to 20 indicate the amount of sediment in the basalt-sediment mixture other numerous island arc continental rift and Mexican lower and upper crust data are also shown for reference (Verma SP unpublished compilation) the average values for basic intermediate and acid rocks from both the E-MVB and CAVA are shown using larger symbols

128

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

ndashOIB

ndashMO

RB)m

2

MORB

IABOIB

(a)

CRB

Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IABOIB

CRB(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 6 Application of the set of five multidimensional DF1ndashDF2 diagrams based on linear discriminant analysis of log-transformed major element ratios for the discrimination of four tectonic settings (arc continental rift ocean island and mid-ocean ridge) for basic magmas from the eastern part of the Mexican Volcanic Belt (E-MVB) See the subscript m2 in all these diagrams (Verma et al 2006b) Symbols are explained in insets The letter B after the name of the tectonic field represents basic and ultrabasic rocks (a) Four tectonic settings IAndashCRndashOIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

129

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IBndashM

ORB

)m2

MORB IAB

OIB

(a)

CRBGuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashOIB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB)m

2

IAB OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

)m2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

)m2

IABOIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB)m2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB)m

2

CRB

OIB

MORB

(e)

Figure 7 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic magmas from the Central American Volcanic Arc (CAVA) More details are given in Figure 6

130

VERMA Turkish J Earth Sci

-8 -4 0 4 8DF1 (IAB-CRB+OIB-MORB) t1

-8

-4

0

4

8D

F2(I

AB-

CRB+

OIB

-MO

RB) t

1 MORB

IABCRB+OIB

(a)

Los Humeros caldera (basic)Palma Sola (basic)Southern volcanic lava (basic)

-8 -4 0 4 8

DF1 (IAB-CRB-OIB)t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-O

IB) t

1

IAB

OIB

CRB

(b)

-8 -4 0 4 8DF1 (IAB-CRB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-C

RB-M

ORB

) t1

IAB

(c)MORB

CRB

-8 -4 0 4 8

DF1 (IAB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(IA

B-O

IB-M

ORB

) t1

IAB OIB

MORB

(d)

-8 -4 0 4 8DF1 (CRB-OIB-MORB) t1

-8

-4

0

4

8

DF2

(CRB

-OIB

-MO

RB) t

1

CRB

OIB

MORB

(e)

Figure 8 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript t1 in all these diagrams Agrawal et al 2008) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as an inset in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

131

VERMA Turkish J Earth Sci

Figure 9 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 8

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t1

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t1 MORB

IAB

CRB+OIB

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

1

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t1

IAB

(c)MORB

CRB

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t1

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t1

IAB

OIB

MORB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t1

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t1

CRB

OIB

MORB

(e)

132

VERMA Turkish J Earth Sci

Figure 10 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript t2 in all these diagrams Verma and Agrawal 2011) for basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The symbols are shown as insets in (a) (a) Three tectonic settings IAndashCR+OIndashMOR (b) three tectonic settings IAndashCRndashOI (c) three tectonic settings IAndashCRndashMOR (d) three tectonic settings IAndashOIndashMOR (e) three tectonic settings CRndashOIndashMOR

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB)t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB

+OIB

ndashMO

RB) t2

MORB

IABCRB+OIB

(a)Domos Las Derrumbadas (basic)

Los Humeros caldera (basic)Acoculco caldera (basic)Palma Sola (basic)

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashO

IB) t

2

IAB

OIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashC

RBndashM

ORB

) t2 IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8

DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2 IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORB

OIB

(e)

133

VERMA Turkish J Earth Sci

Figure 11 Application of the set of five multidimensional DF1ndashDF2 diagrams for basic rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 10

ndash8 ndash4 0 4 8DF1 (IABndashCRB+OIBndashMORB) t2

ndash8

ndash4

0

4

8D

F2(I

ABndash

CRB+

OIB

ndashMO

RB) t

2

MORB

IAB

CRB+OIB

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IABndashCRBndashOIB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashO

IB) t

2

IABOIB

CRB

(b)

ndash8 ndash4 0 4 8DF1 (IABndashCRBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashCR

BndashM

ORB

) t2

IAB

MORB

CRB

(c)

ndash8 ndash4 0 4 8DF1 (IABndashOIBndashMORB)t2

ndash8

ndash4

0

4

8

DF2

(IA

BndashO

IBndashM

ORB

) t2

IAB

MORB

OIB

(d)

ndash8 ndash4 0 4 8DF1 (CRBndashOIBndashMORB) t2

ndash8

ndash4

0

4

8

DF2

(CRB

ndashOIB

ndashMO

RB) t

2 CRB

MORBOIB

(e)

134

VERMA Turkish J Earth Sci

Table 9 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB)

Reference figure type sect figure noDiscrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()

IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 6

IABndashCRBndashOIBndashMORB 51 (100) 3 (6) ndashndashndash 44 (86) 1 (2) 3 (6)

IABndashCRBndashOIB 51 (100) 1 (2) ndashndashndash 50 (98) 0 (0) ndashndashndash

IABndashCRB+MORB 51 (100) 2 (4) ndashndashndash 46 (90) ndashndashndash 3 (6)

IABndashOIBndashMORB 51 (100) 7 (14) ndashndashndash ndashndashndash 29 (57) 15 (29)

CRBndashOIBndashMORB 51 (100) ndashndashndash ndashndashndash 47 (92) 1 (2) 3 (6)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 8

IABndashCRB+OIBndashMORB 38 (100) 3 (8) 31 (82) ndashndashndash ndashndashndash 4 (10)

IABndashCRBndashOIB 38 (100) 9 (24) ndashndashndash 24 (63) 5 (13) ndashndashndash

IABndashCRB+MORB 38 (100) 3 (8) ndashndashndash 31 (82) ndashndashndash 4 (10)

IABndashOIBndashMORB 38 (100) 3 (8) ndashndashndash ndashndashndash 29 (76) 6 (16)

CRBndashOIBndashMORB 38 (100) ndashndashndash ndashndashndash 32 (84) 1 (3) 5 (13)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 10

IABndashCRB+OIBndashMORB 23 (100) 3 (13) 14 (61) ndashndashndash ndashndashndash 6 (26)

IABndashCRBndashOIB 23 (100) 5 (22) ndashndashndash 15 (65) 3 (13) ndashndashndash

IABndashCRB+MORB 23 (100) 2 (9) ndashndashndash 16 (69) ndashndashndash 5 (22)

IABndashOIBndashMORB 23 (100) 3 (13) ndashndashndash ndashndashndash 10 (44) 10 (43)

CRBndashOIBndashMORB 23 (100) ndashndashndash ndashndashndash 12 (52) 5 (22) 6 (26)

sectThe groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

Table 10 Application of multidimensional diagrams for tectonic discrimination of basic rock samples from the Central American Volcanic Arc (CAVA)

Reference figure type sect figure no

Discrimination diagram sect Total no of samples ()

Predicted tectonic affinity and number of discriminated samples ()IAB CRB+OIB CRB OIB MORB

Verma et al (2006b) major element log-ratios Figure 7

IABndashCRBndashOIBndashMORB 180 (100) 141 (783) ndashndashndash 19 (106) 0 (0) 20 (111)

IABndashCRBndashOIB 180 (100) 134 (745) ndashndashndash 35 (194) 11 (61) ndashndashndash

IABndashCRB+MORB 180 (100) 140 (778) ndashndashndash 21 (117) ndashndashndash 19 (105)

IABndashOIBndashMORB 180 (100) 146 (811) ndashndashndash ndashndashndash 14 (78) 20 (111)

CRBndashOIBndashMORB 180 (100) ndashndashndash ndashndashndash 136 (756) 0 (0) 44 (244)

Agrawal et al (2008) log-ratios of immobile trace elements Figure 9

IABndashCRB+OIBndashMORB 61 (100) 31 (51) 4 (6) ndashndashndash ndashndashndash 26 (43)

IABndashCRBndashOIB 61 (100) 23 (38) ndashndashndash 25 (41) 13 (21) ndashndashndash

IABndashCRB+MORB 61 (100) 31 (51) ndashndashndash 4 (6) ndashndashndash 26 (43)

IABndashOIBndashMORB 61 (100) 31 (51) ndashndashndash ndashndashndash 2 (3) 28 (46)

CRBndashOIBndashMORB 61 (100) ndashndashndash ndashndashndash 5 (8) 0 (0) 58 (92)

Verma and Agrawal (2011) log-ratios of immobile major and trace elements Figure 11

IABndashCRB+OIBndashMORB 74 (100) 42 (57) 9 (12) ndashndashndash ndashndashndash 23 (31)

IABndashCRBndashOIB 74 (100) 57 (77) ndashndashndash 17 (23) 0 (0) ndashndashndash

IABndashCRB+MORB 74 (100) 42 (57) ndashndashndash 9 (12) ndashndashndash 23 (31)

IABndashOIBndashMORB 74 (100) 41 (55) ndashndashndash ndashndashndash 5 (7) 28 (38)

CRBndashOIBndashMORB 74 (100) ndashndashndash ndashndashndash 11 (15) 0 (0) 63 (85)

sect The groups discriminated in discriminant function-based multidimensional DF1ndashDF2 diagrams are as follows (B in the tectonic names stands for basic rocks) island arc (IA) continental arc (CA) continental rift (CR) ocean island (OI) and mid-ocean ridge (MOR) the numbers in the parentheses are the percentages of samples plotting in a given field the correct discrimination (also called success) can be seen in the column with italic boldface numbers inapplicable diagram

135

VERMA Turkish J Earth Sci

constructing them most data were compiled from island arcs The continental arc field to which the CAVA is likely to belong is not well represented in them which may be the reason why the percent success for the arc field is relatively low (Table 10) Nevertheless an arc affinity for the CAVA rocks is confirmed from these diagrams422 Intermediate rocksThree sets of five diagrams each indicated a transitional continental rift to collision tectonic setting for the E-MVB (Figures 12 14 and 16 Table 11) and a continental arc setting for CAVA (Figures 13 15 and 17 Table 12) In the major element-based diagrams for the E-MVB the overall prob estimates for continental rift and collision fields were about 370 and 386 respectively (Table 11) In the immobile major and trace element-based diagrams (Figure 14) the E-MVB intermediate rock samples gave prob of about 32 and 44 respectively for continental rift and collision tectonic settings whereas in the final set of immobile trace element-based diagrams (Figure 16) the E-MVB rocks provided prob value of about 50 for the continental rift field followed by only about 24 for the collision tectonic setting (Table 11) Thus a continental rift or a transitional rift to collision setting is indicated by these diagrams

For the CAVA intermediate rocks the major element-based diagrams (Figure 13) indicated a continental arc setting with the prob value of 570 followed by island arc with 384 (Table 12) The prob value for the continental arc setting was higher (600 and 666 respectively for Figures 15 and 17 Table 12) for the other two sets of diagrams based on immobile elements Thus the expected continental arc setting is clearly indicated by all diagrams for intermediate magma423 Acid rocksThe indications from multidimensional diagrams for the E-MVB acid rocks are less clear (Figures 18 20 and 22) The first set based on log-ratios of major elements does not provide a consistent result the prob values are distributed among three tectonic settings (276 to 354 Table 13) The second set of diagrams based on immobile major and trace elements indicates a transitional within-plate to collision tectonic setting with prob values of 401 to 490 whereas the third set indicates a transitional continental arc to collision setting with 39 to 45 (Table 13)

These diagrams however seem to work well as documented in the original paper (Verma et al 2013b) and also for the CAVA acid rocks (Figures 19 and 21 Table 14) The first set of diagrams gave a prob value of 606 (see the first part of results in Table 14) The other two sets of diagrams (Figure 19 and not shown) also indicated a continental arc setting for the CAVA acid rocks (with prob values of 47 and 49) although for the last

set only two samples with complete data were available Strictly speaking for such a small number of samples prob value for acid rocks should not be calculated or reported (Table 14)

If the diagrams for acid rocks perform well what could be the reason for inconsistent results for the E-MVB The acid rocks in the E-MVB may have originated mostly in the heterogeneous continental crust (Figures 3ndash5) and may therefore indicate the tectonic setting of presumably much older crustal rocks A dominantly crustal origin for acid rocks was shown for the Sierra de Chichinautzin (Verma 1999 Velasco-Tapia and Verma 2013) and Sierra de Las Cruces (Velasco-Tapia 2014) both located in the central part of the MVB A larger crustal component in acid rocks from the Los Humeros caldera in the E-MVB than basic and intermediate rocks has also been documented (Verma 2000a) It can also be postulated that the collision of the Yucataacuten block with southern Mexico during the Miocene envisioned for southern Mexico (Kim et al 2011) may have affected the E-MVB as well

In summary the basic rocks from the E-MVB indicate a continental rift setting The intermediate rocks are consistent with a continental rift or a rift to collision transitional setting Although the acid rocks provide a less consistent result they may also indicate a transition from rift (or arc) to collision setting All types of volcanic rocks from basic to acid from the CAVA indicate a continental arc setting which once again confirms good performance of these 45 diagrams for tectonic discrimination Their use in geological research is therefore recommended 43 Application of discordancy and significance testsAn objective comparison of the different magma types from these two provinces (E-MVB and CAVA) may throw light on the results of tectonomagmatic discrimination diagrams The conventional chemical parameters as well as the log-ratios were evaluated from the Fisher F and Student t tests (Verma 2005 Verma et al 2013a) applied to discordant outlier-free data (Verma and Diacuteaz-Gonzaacutelez 2012) The application of the F test prior to the t test is simply to decide the correct version of the t test (Verma et al 2013a) In fact for the t test option UDASYS internally applied the F test and chose the correct version of the t test The results of the t test applied as both ldquoone-sidedrdquo and ldquotwo-sidedrdquo versions at the strict 99 confidence level are presented in Tables 15 16 and 17 for basic intermediate and acid rocks respectively

The conventional parameters include all major elements from (SiO2)adj to (P2O5)adj REEs from La to Lu and most common trace elements from Ba to Zr (Tables 15ndash17) The log-ratios are those used in the multidimensional discrimination diagrams The first block of ratios from ln(TiO2SiO2) to ln(P2O5SiO2) is for major element-based diagrams for all kinds of igneous rocks (Verma et al

136

VERMA Turkish J Earth Sci

Table 11 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number

of samples

Number of discriminated samples

Arc Within-plate

CR+OI [ sx plusmn ]

[pCR+OI] Θ

Collision

Col [ sx plusmn ] [pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks all major elements (mint) Figure 12

IA+CAndashCR+OIndashCol 115 20 [0602 plusmn 0133](03965 ndash 08559) ndashndashndash ndashndashndash 47 [0734 plusmn 0181]

(04126ndash09864)48 [0753 plusmn 0161](03558ndash09826)

IAndashCAndashCR+OI 115 ndashndashndash 3 [0656 plusmn 0199](05279ndash08852)

55 [0699 plusmn 0152](04429ndash09758)

57 [0815 plusmn 0147](04810ndash09926) ndashndashndash

IAndashCAndashCol 115 ndashndashndash 2 [0658 plusmn 0224](05000 08164)

43 [0579 plusmn 0088](04325ndash07953) ndashndashndash 70 [0735 plusmn 0166]

(04640ndash09940)

IAndashCR+OIndashCol 115 ndashndashndash 13 [0571 plusmn 0162](03625ndash08500) ndashndashndash 48 [0755 plusmn 0165]

(04619ndash09873)54 [0779 plusmn 0181](03908ndash09863)

CAndashCR+OIndashCol 115 ndashndashndash ndashndashndash 24 [0587 plusmn 0095](04142ndash07875)

50 [0688 plusmn 0179](04186ndash09793)

41 [0695 plusmn 0150](03735ndash09458)

E-MVB 1a All major element-based diagrams

Σn Σprob[prob] 575 20 120393

[ndashndashndash]18 107095[30]

122 774386[215]

202 1515928[370]

213 1581203[386]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile major and trace elements (mtint) Figure 14

IA+CAndashCR+OIndashCol 28 3 [0716 plusmn 0136](05649ndash08293) ndashndashndash ndashndashndash 10 [0663 plusmn 0195]

(04153ndash09760)15 [0618 plusmn 0122](03759ndash07941)

IAndashCAndashCR+OI 28 ndashndashndash 0 12 [0604 plusmn 0142](04140ndash07969)

16 [0659 plusmn 0194](03604ndash09996) ndashndashndash

IAndashCAndashCol 28 ndashndashndash 0 8 [0595 plusmn 0181](04091ndash09510) ndashndashndash 20 [0663 plusmn 0167]

(04286ndash09899)

IAndashCR+OIndashCol 28 ndashndashndash 3 [0592 plusmn 0109](04932ndash07085) ndashndashndash 10 [0685 plusmn 0196]

(04445ndash09708)15 [0629 plusmn 0118](04016ndash07949)

CAndashCR+OIndashCol 28 ndashndashndash ndashndashndash 9 [0667 plusmn 0191](04083ndash09966)

7 [0710 plusmn 0174](04580ndash09966)

12 [0658 plusmn 0093](04909ndash08312)

E-MVB 1b All immobile major and trace element-based diagrams

Σn Σprob[prob]

140 3 21479[ndashndashndash]

3 17772[22]

29 181030[220]

43 289901[319]

62 398503[439]

Eastern part of the Mexican Volcanic Belt (E-MVB) intermediate rocks immobile trace elements (tint) Figure 16

IA+CAndashCR+OIndashCol 30 7 [0591 plusmn 0193](04347ndash09976) ndashndashndash ndashndashndash 18 [0707 plusmn 0186]

(04110ndash09842)5 [0645 plusmn 0190](05141ndash09773)

IAndashCAndashCR+OI 30 ndashndashndash 2 [0633 plusmn 0279](04350 08300)

8 [0660 plusmn 0150](04649ndash09402)

20 [0819 plusmn 0191](05246ndash09966) ndashndashndash

IAndashCAndashCol 30 ndashndashndash 1(08384)

10 [0645 plusmn 0118](04589ndash07872) ndashndashndash 19 [0739 plusmn 0189]

(03606ndash09931)

IAndashCR+OIndashCol 30 ndashndashndash 4 [0593 plusmn 0277](03724ndash09975) ndashndashndash 18 [0722 plusmn 0169]

(04503ndash09755)8 [0570 plusmn 0181](03962ndash09779)

CAndashCR+OIndashCol 30 ndashndashndash ndashndashndash 12 [0587 plusmn 0183](03431ndash09955)

13 [0757 plusmn 0164](04404ndash09753)

5 [0616 plusmn 0209](04301ndash09578)

E-MVB 1c All immobile trace element-based diagrams

Σn Σprob[prob] 150 7 41379

[ndashndashndash]7 44735[51]

30 187736[212]

69 519352[498]

37 249081[239]

sect ldquoFigure namerdquo corresponds to one of the three sets of diagrams based on major elements immobile major and trace elements and immobile trace elements respectively whereas ldquofigure typerdquo gives the tectonic fields being discriminated where the tectonic groups are as follows IAndashisland arc CAndashcontinental arc CRndashcontinental rift and OIndashocean island together as within-plate Colndashcollision sx plusmn ndashmean plusmn one standard deviation of the probability estimates for all samples discriminated in a given tectonic setting reported in [] Θ probability estimates for different tectonic groups are summarized after the number of discriminated samples as follows [pIA+CA]ndashrange of probability values estimated for IA+CA combined setting [pIA]ndashfor IA [pCA]ndashfor CA [pCR+OI]ndashfor CR+OI and [pCol]ndashfor Col Boldface font shows the expected or more probable tectonic setting the final row gives a synthesis of results as Σn Σprob [prob] where Σnndashnumber of samples plotting in all five diagrams are reported in the column of total number of samples whereas the sum of samples plotting in a given tectonic field are reported in the respective tectonic field column Σprobndashsum of probability values for all samples plotting in a given tectonic field are reported in the respective tectonic field column [prob]ndashtotal probability of a given tectonic setting expressed in percent after assigning the probability of IA+CA to IA and CA (see text for weighing factors)

137

VERMA Turkish J Earth Sci

Table 12 Application of multidimensional tectonic discrimination diagrams (Verma SP and Verma SK 2013) to intermediate rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate CR+OI

[ sx plusmn ] [pCR+OI] Θ

Collision Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA [ sx plusmn ]

[pIA] Θ

CA [ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) intermediate rocks all major elements (mint) Figure 13

IA+CAndashCR+OIndashCol 413 389 [0911 plusmn 0132] (03504ndash09992) ndashndashndash ndashndashndash 18 [0735 plusmn 0180]

(03820ndash09827)6 [0602 plusmn 0110] (04942ndash08019)

IAndashCAndashCR+OI 413 ndashndashndash 108 [0664 plusmn 0165] (03918ndash09779)

286 [0643 plusmn 0096] (03869ndash09938)

19 [0662 plusmn 0191] (03922ndash09862) ndashndashndash

IAndashCAndashCol 413 ndashndashndash 105 [0681 plusmn 0174] (04000ndash09915)

306 [0645 plusmn 0090] (03777ndash08714) ndashndashndash 2 [0688 plusmn 0100]

(06175 07589)

IAndashCR+OIndashCol 413 ndashndashndash 376 [0915 plusmn 0125] (04303ndash09996) ndashndashndash 21 [0708 plusmn 0196]

(03627 09867)16 [0641 plusmn 0171] (03909ndash09029)

CAndashCR+OIndashCol 413 ndashndashndash ndashndashndash 385 [0889 plusmn 0146] (04113ndash09996)

21 [0735 plusmn 0150] (04636ndash09465)

7 [0546 plusmn 0062] (04721ndash06282)

CAVA 1a All major element-based diagrams

Σn Σprob[prob] 2065 389 3542382

[ndashndashndash]589 4872821 [384]

977 7233053 [570]

79 561179 [34]

31 190617 [12]

Central American Volcanic Arc (CAVA) intermediate rocks immobile major and trace elements (mtint) Figure 15

IA+CAndashCR+OIndashCol 185 176 [0906 plusmn 0099] (03860ndash09962) ndashndashndash ndashndashndash 2 [0766 plusmn 0260]

(05820 09494)7 [0704 plusmn 0110] (05847ndash08987)

IAndashCAndashCR+OI 185 ndashndashndash 47 [0702 plusmn 0113] (05287ndash09932)

137 [0697 plusmn 0075] (03803ndash08916) 1 (09933) ndashndashndash

IAndashCAndashCol 185 ndashndashndash 43 [0668 plusmn 0109] (04458ndash09723)

134 [0688 plusmn 0086] (04200ndash08971) ndashndashndash 8 [0597 plusmn 0187]

(04291ndash09576)

IAndashCR+OIndashCol 185 ndashndashndash 172 [0882 plusmn 0090] (05176ndash09955) ndashndashndash 3 [0662 plusmn 0244]

(04608ndash09335)10 [0645 plusmn 0120] (05110ndash08211)

CAndashCR+OIndashCol 185 ndashndashndash ndashndashndash 176 [0940 plusmn 0096] (04270ndash09997)

3 [0705 plusmn 0203] (05181ndash09209)

6 [0862 plusmn 0144] (05828ndash09978)

CAVA 1b All immobile major and trace element-based diagrams

Σn Σprob[prob] 925 176 1594445

[ndashndashndash]262 2134546 [363]

447 3529250 [600]

9 66269[09]

31 213202 [28]

Central American Volcanic Arc (CAVA) intermediate rocks immobile trace elements (tint) Figure 17

IA+CAndashCR+OIndashCol 196 185 [0891 plusmn 0096] (05140ndash09964) ndashndashndash ndashndashndash 7 [0737 plusmn 0157]

(05440ndash09136)4 [0698 plusmn 0108] (05776ndash08046)

IAndashCAndashCR+OI 196 ndashndashndash 43 [0679 plusmn 0134] (04357ndash09218)

148 [0835 plusmn 0112] (05130ndash09522)

5 [0736 plusmn 0190] (04273ndash09468) ndashndashndash

IAndashCAndashCol 196 ndashndashndash 40 [0685 plusmn 0109] (04839ndash09065)

152 [0813 plusmn 0103] (04341ndash09233) ndashndashndash 4 [0666 plusmn 0107]

(05710ndash08136)

IAndashCR+OIndashCol 196 ndashndashndash 179 [0730 plusmn 0167] (04123ndash09966) ndashndashndash 9 [0715 plusmn 0177]

(04070ndash09439)8 [0661 plusmn 0118] (04774ndash08223)

CAndashCR+OIndashCol 196 ndashndashndash ndashndashndash 189 [0928 plusmn 0092] (04578ndash09993)

5 [0819 plusmn 0136] (05903ndash09170)

2 [0556 plusmn 0086] (04945ndash06168)

CAVA 1c All immobile trace element-based diagrams

Σn Σprob[prob] 980 185 1648031

[ndashndashndash]262 1872098 [295]

489 4225776 [666]

26 193705 [24]

18 118571[15]

For explanation see footnote of Table 11

138

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

)min

t Col

CR+OI IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 12 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript mint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) The tectonic settings being discriminated are of island arc (IA) continental arc (CA) combined continental rift and ocean island (CR+OI) and collision (Col) The symbols are shown as inset in (a) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

139

VERMA Turkish J Earth Sci

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol)m

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCR+OI)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

min

t

CR+OI

IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

)min

t

Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1 (IAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

)min

t

Col

CR+OIIA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

)min

t

Col

CR+OI

CA

(e)

Figure 13 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 12

140

VERMA Turkish J Earth Sci

Figure 14 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mtin

t

CR+OI IA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mtin

t

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)mtint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mtin

t

Col

CR+OI

CA

(e)

141

VERMA Turkish J Earth Sci

Figure 15 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 14

-8 -4 0 4 8DF1 (IA+CA-CR+OI-Col) mtint

-8

-4

0

4

8D

F2(I

A+C

A-C

R+O

I-C

ol) m

tint

Col

CR+OI

IA+CA

(a)GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

-8 -4 0 4 8

DF1 (IA-CA-CR+OI)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-CR+

OI)

mtin

t

CR+OI IA

CA

(b)

-8 -4 0 4 8DF1 (IA-CA-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CA

-Col

) mtin

t

Col

IA

CA

(c)

-8 -4 0 4 8

DF1 (IA-CR+OI-Col)mtint

-8

-4

0

4

8

DF2

(IA

-CR+

OI-

Col

) mtin

t

Col

CR+OI

IA

(d)

-8 -4 0 4 8DF1 (CA-CR+OI-Col) mtint

-8

-4

0

4

8

DF2

(CA

-CR+

OI-

Col

) mtin

t

Col

CR+OICA

(e)

142

VERMA Turkish J Earth Sci

Figure 16 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tint in all these diagrams Verma SP and Verma SK 2013) for intermediate rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OI

IA+CA

(a)

Los Humeros calderaPalma SolaSouthern volcanic lava

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

143

VERMA Turkish J Earth Sci

Figure 17 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements for intermediate rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 16

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashC

ol) t

int Col

CR+OI

IA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI) tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI) t

int

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tint

ColIA

CA

(c)

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) tin

t

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tint

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) tin

t Col

CR+OICA

(e)

144

VERMA Turkish J Earth Sci

Figure 18 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements (see the subscript macid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndash CR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mac

id

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaCofre Perote amp CitlaacuteltepetlPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1(IAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mac

id Col

CR+OI

CA

(e)

145

VERMA Turkish J Earth Sci

Figure 19 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of major elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 18

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

acid

Col

CR+OIIA+CA

(a)

GuatemalaEl SalvadorHondurasNicaraguaCosta Rica

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mac

id

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mac

id

Col

IA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) macid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mac

id Col

CR+OI

CA

(e)

146

VERMA Turkish J Earth Sci

Figure 20 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements (see the subscript mtacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1(IA+CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OIIA+CA

(a)Domos Las Derrumbadas

Los Humeros calderaAcoculco calderaPalma Sola

ndash8 ndash4 0 4 8

DF1(IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1(IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid Col

IA

CA

(c)

ndash8 ndash4 0 4 8DF1(IAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1(CAndashCR+OIndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col

) mta

cid

Col

CR+OICA

(e)

147

VERMA Turkish J Earth Sci

Figure 21 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile major and trace elements for acid rock samples from the Central American Volcanic Arc (CAVA) More details are given in Figure 20

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8D

F2(I

A+C

AndashC

R+O

IndashCo

l)m

taci

d

Col

CR+OIIA+CA

(a)GuatemalaEl SalvadorHonduras

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

mta

cid

CR+OIIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) mta

cid

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol) mtacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

mta

cid

Col

CR+OICA

(e)

148

VERMA Turkish J Earth Sci

Figure 22 Application of the set of five multidimensional DF1ndashDF2 diagrams based on log-ratios of immobile trace elements (see the subscript tacid in all these diagrams Verma et al 2013b) for acid rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) (a) Three tectonic settings IA+CAndashCR+OIndashCol (b) three tectonic settings IAndashCAndashCR+OI (c) three tectonic settings IAndashCAndashCol (d) three tectonic settings IAndashCR+OIndashCol (e) three tectonic settings CRndashCR+OIndashCol

ndash8 ndash4 0 4 8DF1 (IA+CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

+CA

ndashCR+

OIndash

Col)

taci

d Col

CRIA+CA

(a)

Los Humeros calderaPalma Sola

ndash8 ndash4 0 4 8

DF1 (IAndashCAndashCR+OI)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCR+

OI)

taci

d

CRIA

CA

(b)

ndash8 ndash4 0 4 8DF1 (IAndashCAndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCA

ndashCol

) tac

id

ColIA

CA

(c)

ndash8 ndash4 0 4 8

DF1 (IAndashCR+OIndashCol) tacid

ndash8

ndash4

0

4

8

DF2

(IA

ndashCR+

OIndash

Col)

taci

d

Col

CR+OI

IA

(d)

ndash8 ndash4 0 4 8DF1 (CAndashCR+OIndashCol)tacid

ndash8

ndash4

0

4

8

DF2

(CA

ndashCR+

OIndash

Col)

taci

d Col

CR+OI

CA

(e)

149

VERMA Turkish J Earth Sci

Table 13 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the eastern part of the Mexican Volcanic Belt (E-MVB)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks all major elements (macid) Figure 18

IA+CAndashCR+OIndashCol 8626 [0803 plusmn 01887(03890ndash09805)

ndashndashndash ndashndashndash25 [0577 plusmn 0154](04147ndash09337)

35 [0796 plusmn 0199](03597ndash09873)

IAndashCAndashCR+OI 86 ndashndashndash 031 [0838 plusmn 0129](04944ndash09524)

55 [0791 plusmn 0176](05080ndash09958)

ndashndashndash

IAndashCAndashCol 86 ndashndashndash 053 [0839 plusmn 0129](05154ndash09547)

ndashndashndash33 [0883 plusmn 0149](05092ndash09995)

IAndashCR+OIndashCol 86 ndashndashndash14 [0603 plusmn 0171](03798ndash08442)

ndashndashndash29 [0626 plusmn 0113](04930ndash08833)

43 [0749 plusmn 0179](03939ndash09714)

CAndashCR+OIndashCol 86 ndashndashndash ndashndashndash26 [0822 plusmn 0194](03852ndash09926)

26 [0550 plusmn 0149](03504ndash09140)

34 [0788 plusmn 0173](04446ndash09777)

E-MVB 2a All major element-based diagrams Σn Σprob

[prob]430

26 208880[ndashndashndash]

14 84422[31]

110 918057[339]

135 903711[276]

145 1160108[354]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile major and trace elements (mtacid) Figure 20

IA+CAndashCR+OIndashCol 487 [0437 plusmn 0127](03684ndash07194)

ndashndashndash ndashndashndash17 [0574 plusmn 0160](03788ndash09754)

24 [0726 plusmn 0193](03699ndash09791)

IAndashCAndashCR+OI 48 ndashndashndash 09 [0600 plusmn 0085](05327ndash08098)

39 [0808 plusmn 0193](04907ndash09965)

ndashndashndash

IAndashCAndashCol 48 ndashndashndash 010 [0550 plusmn 0067](05012ndash07291)

ndashndashndash38 [0819 plusmn 0197](04857ndash09988)

IAndashCR+OIndashCol 48 ndashndashndash 0 ndashndashndash21 [0616 plusmn 0125](04592ndash09566)

27 [0685 plusmn 0167](04709ndash09650)

CAndashCR+OIndashCol 48 ndashndashndash ndashndashndash8 [0495 plusmn 0130](03984ndash08070)

22 [0534 plusmn 0148](03524ndash09497)

18 [0758 plusmn 0119](05447ndash09643)

E-MVB 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

2407 30601[ndashndashndash]

0 0[0]

27 148625[109]

99 659471[401]

107 806608[490]

Eastern part of the Mexican Volcanic Belt (E-MVB) acid rocks immobile trace elements (tacid) Figure 22

IA+CAndashCR+OIndashCol 145 [0561 plusmn 0055](05821ndash07075)

ndashndashndash ndashndashndash3 [0471 plusmn 0100](03727ndash05719)

6 [0767 plusmn 0151](05191ndash09250)

IAndashCAndashCR+OI 14 ndashndashndash 010 [0940 plusmn 0071](07585ndash09893)

4 [0724 plusmn 0066](06583ndash08067)

ndashndashndash

IAndashCAndashCol 14 ndashndashndash 06 [0787 plusmn 0073](06460ndash08436)

ndashndashndash8 [0759 plusmn 0171](05017ndash09461)

IAndashCR+OIndashCol 14 ndashndashndash 0 ndashndashndash4 [0696 plusmn 0097](05878ndash08162)

10 [0887 plusmn 0148](04952ndash09999)

CAndashCR+OIndashCol 14 ndashndashndash ndashndashndash5 [0727 plusmn 0046](06680ndash07764)

3 [0456 plusmn 0091](03839ndash05581)

6 [0776 plusmn 0148](05491ndash09346)

E-MVB 2c All immobile trace element-based diagrams

Σn Σprob[prob]

705 32526[ndashndashndash]

0 0[0]

21 177626[39]

14 84581[16]

30 241951[45]

For explanation see footnote of Table 11

150

VERMA Turkish J Earth Sci

Table 14 Application of multidimensional tectonic discrimination diagrams (Verma et al 2013b) to acid rocks from the Central American Volcanic Arc (CAVA)

Area rocks figure name sect figure no

Figure type sect Total number of samples

Number of discriminated samples

Arc Within-plate

CR+OI

[ sx plusmn ]

[pCR+OI] Θ

Collision

Col

[ sx plusmn ]

[pCol] Θ

IA+CA

[ sx plusmn ]

(pIA+CA) Θ

IA

[ sx plusmn ]

[pIA] Θ

CA

[ sx plusmn ]

[pCA] Θ

Central American Volcanic Arc (CAVA) acid rocks all major elements (macid) Figure 19

IA+CAndashCR+OIndashCol 36 27 [0824 plusmn 0119] (05712ndash09900) ndashndashndash ndashndashndash 7 [0612 plusmn 0109]

(03980ndash07101)2 [0662 plusmn 0281] (04631ndash08608)

IAndashCAndashCR+OI36 ndashndashndash 3 [0692 plusmn 0262]

(04324ndash09562)25 [0766 plusmn 0103] (05102ndash09039)

8 [0793 plusmn 0185] (05054ndash09799) ndashndashndash

IAndashCAndashCol36 ndashndashndash 4 [0614 plusmn 0242]

(04267ndash09664)26 [0826 plusmn 0072] (07057ndash09483) ndashndashndash 6 [0696 plusmn 0151]

(04823ndash08969)

IAndashCR+OIndashCol36 ndashndashndash 15 [0705 plusmn 0194]

(04326ndash09997) ndashndashndash 17 [0581 plusmn 0119] (03742ndash07615)

4 [0572 plusmn 0204] (03702ndash08561)

CAndashCR+OIndashCol36 ndashndashndash ndashndashndash 27 [0855 plusmn 0116]

(05912ndash09976)7 [0599 plusmn 0082] (04512ndash06792)

2 [0626 plusmn 0285] (04246ndash08281)

CAVA 2a All major element-based diagrams

Σn Σprob[prob]

180 27 222407[ndashndashndash]

22 151031 [144]

78 636863 [606]

39 246994 [183]

14 90403 [67]

Central American Volcanic Arc (CAVA) acid rocks immobile major and trace elements (mtacid) Figure 21

IA+CAndashCR+OIndashCol 13 11 [0741 plusmn 0160] (04711ndash09231) ndashndashndash ndashndashndash 0 2 [0520 plusmn 0062]

(04767ndash05639)

IAndashCAndashCR+OI 13 ndashndashndash 5 [0778 plusmn 0103] (06435ndash08759)

7 [0641 plusmn 0107] (04800ndash07790) 1 (08502) ndashndashndash

IAndashCAndashCol 13 ndashndashndash 5 [0791 plusmn 0085] (06841ndash08695)

6 [0578 plusmn 0099] (04849ndash07347) ndashndashndash 2 [0628 plusmn 0245]

(04549ndash08011)

IAndashCR+OIndashCol 13 ndashndashndash 6 [0880 plusmn 0128] (06388ndash09721) ndashndashndash 2 [05005 plusmn 00109]

(04929ndash05082)5 [0552 plusmn 0096] (04385ndash06946)

CAndashCR+OIndashCol 13 ndashndashndash ndashndashndash 12 [0748 plusmn 0164] (04824ndash09353) 1(05702) 0

CAVA 2b All immobile major and trace element-based diagrams

Σn Σprob[prob]

65 11 81481[ndashndashndash]

16 131188 [37]

25 169290 [47]

4 24214[5]

9 50557[11]

Central American Volcanic Arc (CAVA) acid rocks immobile trace elements (tacid) no figure (only two samples)

IA+CAndashCR+OIndashCol 2 2 [0775 plusmn 0275] (05810ndash09693) ndashndashndash ndashndashndash 0 0

IAndashCAndashCR+OI 2 ndashndashndash 1 (09286) 1 (08474) 0 ndashndashndash

IAndashCAndashCol 2 ndashndashndash 1 (09326) 1 (08608) ndashndashndash 0

IAndashCR+OIndashCol 2 ndashndashndash 1 (09998) ndashndashndash 1 (08908) 0

CAndashCR+OIndashCol 2 ndashndashndash ndashndashndash 2 [0834 plusmn 0231] (06709ndash09974) 0 0

CAVA 2c All immobile trace element-based diagrams

Σn Σprob[prob]

10 2 15504[ndashndashndash]

3 28610 [41]

4 33765 [49]

1 08908[10]

0 0[0]

For explanation see footnote of Table 11

151

VERMA Turkish J Earth Sci

Table 15 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for basic volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr1 Gr11 50 175 71319 ndash 59979067 23797593 false gt999 26465090 false gt999

(TiO2)adj Gr1 Gr11 50 178 69253 + 118649599 23813891 false gt999 26486740 false gt999

(Al2O3)adj Gr1 Gr11 50 176 132875 ndash 88562374 23547333 false gt999 26133329 false gt999

(Fe2O3)adj Gr1 Gr11 50 178 66556 + 34022749 23836736 false 9994 26517095 false 9989

(FeO)adj Gr1 Gr11 50 179 73809 + 31978572 23779185 false 999 26440644 false 998

(MnO)adj Gr1 Gr11 49 174 89631 ndash 22548417 23686548 true 9867 26317722 true 9734

(MgO)adj Gr1 Gr11 50 178 78886 + 59897185 23745322 false gt999 26395690 false gt999

(CaO)adj Gr1 Gr11 50 176 133820 ndash 67680069 23545306 false gt999 26130649 false gt999

(Na2O)adj Gr1 Gr11 50 179 101561 + 73732306 23636098 false gt999 26250852 false gt999

(K2O)adj Gr1 Gr11 50 172 74952 + 52114068 23771155 false gt999 26429981 false gt999

(P2O5)adj Gr1 Gr11 50 171 55852 + 67160112 23949760 false gt999 26667422 false gt999

(Fe2O3t)adj Gr1 Gr11 50 179 74112 + 36886464 23777032 false 9997 26437785 false 9995

(Na2O+K2O)adj Gr1 Gr11 50 176 107443 + 77770339 23615413 false gt999 26223451 false gt999

Mg Gr1 Gr11 50 174 84242 + 51321007 23714116 false gt999 26354285 false gt999

La Gr1 Gr11 47 126 57003 + 79217222 23935509 false gt999 26648454 false gt999

Ce Gr1 Gr11 47 128 57236 + 84288136 23932699 false gt999 26644715 false gt999

Pr Gr1 Gr11 34 42 44115 + 70575430 24138980 false gt999 26919622 false gt999

Nd Gr1 Gr11 47 115 61532 + 79808820 23884762 false gt999 26580943 false gt999

Sm Gr1 Gr11 47 115 68167 + 76457250 23822870 false gt999 26498669 false gt999

Eu Gr1 Gr11 47 118 61045 + 86075117 23889842 false gt999 26587699 false gt999

Gd Gr1 Gr11 42 107 147000 + 67256834 23519815 false gt999 26096931 false gt999

Tb Gr1 Gr11 47 53 71196 + 103872197 23798538 false gt999 26466345 false gt999

Dy Gr1 Gr11 24 99 63818 + 79668005 23861947 false gt999 26550606 false gt999

Ho Gr1 Gr11 43 48 89000 + 65088656 23689600 false gt999 26321768 false gt999

Er Gr1 Gr11 34 108 97929 + 22872265 23650134 true 9878 26269450 true 9757

Tm Gr1 Gr11 28 40 66000 + 46999039 23841680 false 9969 26523665 false 9939

Yb Gr1 Gr11 47 122 141994 + 26213912 23528932 false 9951 26108990 false 9903

Lu Gr1 Gr11 47 63 108000 + 41788075 23613574 false 999 26221015 false 9981

Ba Gr1 Gr11 41 143 182000 + 09192091 23470208 true 8197 26031356 true 6393

Be Gr1 Gr11 11 38 10998 + 41632740 27181636 false 9992 31059107 false 9984

Co Gr1 Gr11 42 29 69000 + 17030752 23815958 true 9535 26489486 true 9069

Cr Gr1 Gr11 45 138 54530 + 51596518 23966879 false gt999 26690212 false gt999

Cs Gr1 Gr11 33 73 42974 + 53700870 24163080 false gt999 26951790 false gt999

Cu Gr1 Gr11 21 81 99689 ndash 94430770 23643201 false gt999 26260264 false gt999

Ga Gr1 Gr11 15 6 190 + 31943765 25395227 false 9976 28609639 false 9952

Hf Gr1 Gr11 37 62 97000 + 130160618 23653895 false gt999 26274436 false gt999

Nb Gr1 Gr11 45 104 125537 + 55926836 23564105 false gt999 26155522 false gt999

Ni Gr1 Gr11 44 137 53333 + 50955890 23983144 false gt999 26711870 false gt999

Pb Gr1 Gr11 14 71 83000 + 22296504 23720987 true 9858 26363399 true 9715

Rb Gr1 Gr11 41 144 47021 + 60986364 24083027 false gt999 26844978 false gt999

Sb Gr1 Gr11 14 3 2023 ndash 10750052 68720722 true 8039 97913502 true 6077

Sc Gr1 Gr11 17 115 1300 ndash 21955833 23578186 true 985 26174183 true 970

Sr Gr1 Gr11 46 150 54457 + 45839119 23967848 false 9981 26691502 false 9963

152

VERMA Turkish J Earth Sci

Table 15 (Ccontinued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSidedH0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Ta Gr1 Gr11 37 37 38925 + 106755706 24260466 false gt999 27081883 false gt999

Th Gr1 Gr11 35 87 36517 + 98440329 24329082 false gt999 27173645 false gt999

U Gr1 Gr11 35 83 39405 + 91444128 24247837 false gt999 27065002 false gt999

V Gr1 Gr11 23 103 50517 ndash 34461650 24024532 false 9994 26160510 true 9893

Y Gr1 Gr11 46 131 162981 + 53522845 23494495 false gt999 26063454 false gt999

Zn Gr1 Gr11 21 36 21871 + 33069123 25094988 false 9984 28203455 false 9968

Zr Gr1 Gr11 46 136 1800 + 100226666 23498862 false gt999 26069102 false gt999

ln(TiO2SiO2) Gr1 Gr11 50 180 90165 + 141560942 23683997 false gt999 26314339 false gt999

ln(Al2O3SiO2) Gr1 Gr11 50 180 100765 ndash 62156682 23639088 false gt999 26254814 false gt999

ln(Fe2O3SiO2) Gr1 Gr11 50 180 70108 + 41106305 23807028 false 9995 26477623 false 9989

ln(FeOSiO2) Gr1 Gr11 50 180 74463 + 39575702 23774555 false 9997 26434496 false 9993

ln(MnOSiO2) Gr1 Gr11 49 177 82299 ndash 02673031 23724961 true lt50 26368671 true lt50

ln(MgOSiO2) Gr1 Gr11 50 178 102796 + 73778924 23631557 false gt999 26244836 false gt999

ln(CaOSiO2) Gr1 Gr11 50 177 103416 ndash 38451985 23629316 false 9997 26241867 false 9994

ln(Na2OSiO2) Gr1 Gr11 50 179 123667 + 95497077 23568703 false gt999 26161607 false gt999

ln(K2OSiO2) Gr1 Gr11 50 174 107557 + 67614014 23615035 false gt999 26222950 false gt999

ln(P2O5SiO2) Gr1 Gr11 47 179 84844 + 102241281 23710861 false gt999 26349966 false gt999

ln(LaTh) Gr1 Gr11 37 94 100275 ndash 72873068 23640948 false gt999 26257279 false gt999

ln(SmTh) Gr1 Gr11 37 88 88321 ndash 102919152 23692932 false gt999 26326187 false gt999

ln(YbTh) Gr1 Gr11 37 91 126000 ndash 123172009 23562988 false gt999 26154045 false gt999

ln(NbTh) Gr1 Gr11 37 67 101856 + 13415380 23635004 true 9086 26249402 true 8173

ln(Nb(TiO2)adj) Gr1 Gr11 46 106 147036 + 74447517 23519751 false gt999 26096847 false gt999

ln(V(TiO2)adj) Gr1 Gr11 22 105 89309 ndash 116418532 23688100 false gt999 26319780 false gt999

ln(Y(TiO2)adj) Gr1 Gr11 46 133 177000 ndash 102619195 23476082 false gt999 26039119 false gt999

ln(Zr(TiO2)adj) Gr1 Gr11 46 142 126814 + 72747394 23561045 false gt999 26151473 false gt999ln(MgOTiO2)adj

Gr1 Gr11 50 179 80122 ndash 52895353 23737745 false gt999 26385635 false gt999

ln(P2O5TiO2)adj Gr1 Gr11 47 180 95188 + 41501677 23661446 false 9992 26284443 false 9984

ln(Ni(TiO2)adj) Gr1 Gr11 46 135 179000 + 05939694 23473693 true lt50 26035961 true lt50

ln(LaYb) Gr1 Gr11 47 122 71720 + 94735982 23794542 false gt999 26461037 false gt999

ln(CeYb) Gr1 Gr11 47 121 166000 + 117878820 23490264 false gt999 26057862 false gt999

ln(SmYb) Gr1 Gr11 47 120 55906 + 89245997 23949074 false gt999 26666510 false gt999

ln(NbYb) Gr1 Gr11 43 98 123506 + 104227722 23569105 false gt999 26162139 false gt999

ln(ThYb) Gr1 Gr11 37 91 126000 + 123172009 23562988 false gt999 26154045 false gt999

ln(YYb) Gr1 Gr11 41 126 165000 + 48657890 23491648 false 9918 26059691 false 9836

Ln(ZrYb) Gr1 Gr11 43 120 132876 + 162121853 23547330 false gt999 26133326 false gt999

sect The subscript adj refers to the adjusted data from the SINCLAS or IgRoCS computer programs (Verma et al 2002 Verma and Rivera-Goacutemez 2013a) The outcome of the Studentrsquos t test OnendashSided H0 false means that this parameter for one group is either higher or lower than for the other group at 99 confidence level (CL) OnendashSided H0 true means that this parameter for one group is not higher or lower than the other group at 99 confidence level TwondashSided H0 false means that this parameter shows a significant difference between the two areas or groups at 99 confidence level TwondashSided H0 true means that this parameter does not show a significant difference between the two areas or groups at 99 confidence level Remember also that instead of ldquotruerdquo or ldquofalserdquo the outcome could have been stated respectively as ldquoacceptrdquo or ldquorejectrdquo or even as ldquovalidrdquo or ldquoinvalidrdquo

153

VERMA Turkish J Earth Sci

Table 16 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for intermediate volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr2 Gr12 115 388 155999 + 49766946 23504911 false 9899 26077224 false 9798

(TiO2)adj Gr2 Gr12 115 404 148434 + 140827705 23517317 false gt999 26093628 false gt999

(Al2O3)adj Gr2 Gr12 111 406 239011 ndash 133818891 23420713 false gt999 25965973 false gt999

(Fe2O3)adj Gr2 Gr12 114 406 150218 ndash 29633574 23514278 false 9982 26089610 false 9965

(FeO)adj Gr2 Gr12 110 406 158137 ndash 84937026 23501622 false gt999 26072876 false gt999

(MnO)adj Gr2 Gr12 113 395 154965 ndash 144886352 23506534 false gt999 26079371 false gt999

(MgO)adj Gr2 Gr12 113 406 149364 ndash 09761996 23515724 true 8345 26091522 true 669

(CaO)adj Gr2 Gr12 115 406 166013 ndash 91676358 23490246 false gt999 26057839 false gt999

(Na2O)adj Gr2 Gr12 114 406 167300 + 127641481 23488490 false gt999 26055517 false gt999

(K2O)adj Gr2 Gr12 100 404 165973 + 164500703 23490301 false gt999 26057911 false gt999

(P2O5)adj Gr2 Gr12 107 381 144026 + 131698130 23525155 false gt999 26103994 false gt999

(Fe2O3t)adj Gr2 Gr12 110 406 156862 ndash 76883922 23503573 false gt999 26075455 false gt999

(Na2O+K2O)adj Gr2 Gr12 115 405 165494 + 161965612 23490961 false gt999 26058784 false gt999

Mg Gr2 Gr12 110 406 153376 + 39473253 23509073 false 9995 26082728 false 999

La Gr2 Gr12 45 322 46620 + 95379856 24090322 false gt999 26854706 false gt999

Ce Gr2 Gr12 46 327 47118 + 100007800 24081295 false gt999 26842668 false gt999

Pr Gr2 Gr12 30 228 29539 + 71067139 24594326 false gt999 27529135 false gt999

Nd Gr2 Gr12 45 301 47765 + 92147966 24069850 false gt999 26827408 false gt999

Sm Gr2 Gr12 46 282 51707 + 83341038 24006467 false gt999 26742934 false gt999

Eu Gr2 Gr12 48 282 49123 + 85812408 24046829 false gt999 26796718 false gt999

Gd Gr2 Gr12 36 271 38732 + 71988719 24265641 false gt999 27088801 false gt999

Tb Gr2 Gr12 48 231 52495 + 92645170 23994986 false gt999 26727641 false gt999

Dy Gr2 Gr12 16 258 15726 + 50662075 25884309 false gt999 29275214 false gt999

Ho Gr2 Gr12 37 217 41465 + 71535435 24197080 false gt999 26997190 false gt999

Er Gr2 Gr12 32 260 43532 + 46832814 24151134 false 9982 26935844 false 9963

Tm Gr2 Gr12 30 173 31420 + 71630354 24510682 false gt999 27416900 false gt999

Yb Gr2 Gr12 48 261 63623 + 68120178 23863824 false gt999 26553102 false gt999

Lu Gr2 Gr12 47 235 62015 + 69883736 23879795 false gt999 26574337 false gt999

Ba Gr2 Gr12 52 335 59686 + 11485061 23904487 true 8724 26607179 true 7448

Be Gr2 Gr12 8 33 39000 + 46595165 24258483 false 9985 27079232 false 997

Co Gr2 Gr12 47 159 64573 ndash 00404038 23854770 true lt50 26541065 true lt50

Cr Gr2 Gr12 34 284 52491 ndash 20720702 23995030 true 9784 26727700 true 9568

Cs Gr2 Gr12 27 228 27145 + 59762028 24718533 false gt999 27696022 false gt999

Cu Gr2 Gr12 26 179 53386 ndash 70705327 23982409 false gt999 26710891 false gt999

Ga Gr2 Gr12 10 4 120 + 32595011 26809892 false 9966 30545228 false 9932

Hf Gr2 Gr12 30 203 29535 + 76804066 24594522 false gt999 27529398 false gt999

Nb Gr2 Gr12 50 249 52781 + 122739797 23990890 false gt999 26722186 false gt999

Ni Gr2 Gr12 46 280 49249 + 27023849 24044762 false 9953 26793963 false 9906

154

VERMA Turkish J Earth Sci

Table 16 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc t_crit

OnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Pb Gr2 Gr12 18 216 17665 + 61021428 25570749 false gt999 28848199 false gt999

Rb Gr2 Gr12 55 333 61664 + 98058766 23883398 false gt999 26579129 false gt999

Sb Gr2 Gr12 12 7 6159 ndash 26248513 31157483 true 9808 36685403 true 9616

Sc Gr2 Gr12 16 285 299000 ndash 17410029 23389085 true 9586 25924202 true 9173

Sr Gr2 Gr12 61 336 71332 ndash 32152371 23797493 false 999 26464957 false 998

Ta Gr2 Gr12 30 170 29099 + 63432040 24615559 false gt999 27557644 false gt999

Th Gr2 Gr12 31 283 30127 + 71884610 24567009 false gt999 27492467 false gt999

U Gr2 Gr12 29 282 28372 + 60866295 24652118 false gt999 27606752 false gt999

V Gr2 Gr12 37 218 54872 ndash 09956984 23962373 true 8379 26684212 true 6758

Y Gr2 Gr12 59 310 89938 + 72123584 23685080 false gt999 26315774 false gt999

Zn Gr2 Gr12 27 134 159000 + 10056211 23500320 true 8418 26071156 true 6837

Zr Gr2 Gr12 58 333 61436 + 118831462 23885753 false gt999 26582260 false gt999

ln(TiO2SiO2) Gr2 Gr12 115 413 174971 + 139763792 23478563 false gt999 26042397 false gt999

ln(Al2O3SiO2) Gr2 Gr12 115 413 192100 ndash 98147537 23459283 false gt999 26016920 false gt999

ln(Fe2O3SiO2) Gr2 Gr12 115 413 147639 ndash 35994572 23518695 false 9997 26095451 false 9995

ln(FeOSiO2) Gr2 Gr12 115 406 144006 ndash 70039468 23525191 false gt999 26104041 false gt999

ln(MnOSiO2) Gr2 Gr12 115 405 132122 ndash 117915869 23548966 false gt999 26135490 false gt999

ln(MgOSiO2) Gr2 Gr12 114 406 149946 ndash 18125967 23514737 true 9641 26090217 true 9281

ln(CaOSiO2) Gr2 Gr12 115 405 152753 ndash 79108425 23510083 false gt999 26084062 false gt999

ln(Na2OSiO2) Gr2 Gr12 110 406 204730 + 155046203 23447148 false gt999 26000889 false gt999

ln(K2OSiO2) Gr2 Gr12 110 403 317291 + 220803477 23381823 false gt999 25914611 false gt999

ln(P2O5SiO2) Gr2 Gr12 113 386 166111 + 125183097 23490111 false gt999 26057660 false gt999

ln(LaTh) Gr2 Gr12 32 281 46046 ndash 112692078 24100996 false gt999 26868943 false gt999

ln(SmTh) Gr2 Gr12 30 261 289000 ndash 137437146 23393444 false gt999 25929959 false gt999

ln(YbTh) Gr2 Gr12 30 281 32321 ndash 137591049 24474219 false gt999 27368011 false gt999

ln(NbTh) Gr2 Gr12 32 211 44034 ndash 09638711 24140642 true 8293 26921840 true 6587

ln(Nb(TiO2)adj) Gr2 Gr12 60 254 78142 + 103226780 23750007 false gt999 26401907 false gt999

ln(V(TiO2)adj) Gr2 Gr12 35 218 56566 ndash 116902043 23940846 false gt999 26655557 false gt999

ln(Y(TiO2)adj) Gr2 Gr12 60 316 80582 ndash 89063023 23734987 false gt999 26381974 false gt999

ln(Zr(TiO2)adj) Gr2 Gr12 59 335 77196 + 97771024 23756093 false gt999 26409986 false gt999

ln(MgOTiO2)adjGr2 Gr12 110 406 164453 ndash 140819241 23492412 false gt999 26060702 false gt999

ln(P2O5TiO2)adj Gr2 Gr12 98 387 305568 ndash 17372725 23386377 true 9583 25920626 true 9167

ln(Ni(TiO2)adj) Gr2 Gr12 48 293 58524 ndash 07033540 23917566 true 7369 26624578 true 4738

ln(LaYb) Gr2 Gr12 48 307 65909 + 131721846 23842501 false gt999 26524758 false gt999

ln(CeYb) Gr2 Gr12 48 305 67150 + 146977668 23831538 false gt999 26510187 false gt999

ln(SmYb) Gr2 Gr12 48 292 54244 + 94483890 23970705 false gt999 26695306 false gt999

ln(NbYb) Gr2 Gr12 42 228 49408 + 135943507 24042166 false gt999 26790503 false gt999

ln(ThYb) Gr2 Gr12 30 281 32321 + 137591049 24474219 false gt999 27368011 false gt999

ln(YYb) Gr2 Gr12 43 304 49492 + 21640670 24040795 true 9823 26788676 true 9647

Ln(ZrYb) Gr2 Gr12 41 304 343000 + 180841603 23372924 false gt999 25902857 false gt999

For more information see footnote of Table 15

155

VERMA Turkish J Earth Sci

Table 17 Application of significance tests (software UDASYS Verma et al 2013a) to the traditional as well as log-transformed chemical data for acid volcanic rock samples from the eastern part of the Mexican Volcanic Belt (E-MVB) and the Central American Volcanic Arc (CAVA)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

(SiO2)adj Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

(TiO2)adj Gr3 Gr13 90 36 106731 ndash 14627060 23617795 true 9267 26226606 true 8535

(Al2O3)adj Gr3 Gr13 91 35 105545 ndash 41356673 23621833 false 9992 26231955 false 9984

(Fe2O3)adj Gr3 Gr13 91 36 125000 ndash 46853485 23565411 false 9953 26157251 false 9906

(FeO)adj Gr3 Gr13 90 36 124000 ndash 54067230 23567873 false gt999 26160510 false gt999

(MnO)adj Gr3 Gr13 90 35 48228 ndash 99892707 24061844 false gt999 26816734 false gt999

(MgO)adj Gr3 Gr13 83 36 117000 ndash 38258521 23586307 false 9997 26184909 false 9994

(CaO)adj Gr3 Gr13 90 34 77765 ndash 39521398 23752410 false 9997 26405098 false 9993

(Na2O)adj Gr3 Gr13 91 36 125000 + 12162072 23565411 true 8869 26157251 true 7738

(K2O)adj Gr3 Gr13 91 36 125000 + 49717934 23565411 false 991 26157251 false 982

(P2O5)adj Gr3 Gr13 91 34 123000 ndash 16095940 23570377 true 945 26163823 true 8899

(Fe2O3t)adj Gr3 Gr13 90 36 124000 ndash 53062489 23567873 false gt999 26160510 false gt999

(Na2O+K2O)adj Gr3 Gr13 90 36 124000 + 64066495 23567873 false gt999 26160510 false gt999

Mg Gr3 Gr13 91 36 106664 ndash 12488868 23618019 true 8928 26226903 true 7856

La Gr3 Gr13 29 14 34316 + 44811929 24400567 false 9993 27269330 false 9985

Ce Gr3 Gr13 29 13 36755 + 43934208 24321876 false 9994 27164004 false 9987

Pr Gr3 Gr13 16 3 170 ndash 03601082 25669522 true lt50 28982604 true lt50

Nd Gr3 Gr13 29 10 37000 + 02783105 24314572 true lt50 27154234 true lt50

Sm Gr3 Gr13 29 8 350 ndash 16107406 24377385 true 9419 27238535 true 8838

Eu Gr3 Gr13 29 10 37000 ndash 38059346 24314572 false 9997 27154234 false 9994

Gd Gr3 Gr13 25 8 31000 ndash 15699752 24528428 true 9367 27440702 true 8734

Tb Gr3 Gr13 29 6 33000 ndash 12239249 24448100 true 8852 27333006 true 7704

Dy Gr3 Gr13 16 3 170 ndash 19102035 25669522 true 9634 28982604 true 9269

Ho Gr3 Gr13 16 8 220 ndash 32689220 25083545 false 9982 28187994 false 9965

Er Gr3 Gr13 15 2 150 ndash 18707205 26024840 true 9595 29467167 true 919

Tm Gr3 Gr13 29 10 37000 ndash 15503172 24314572 true 9352 27154234 true 8704

Yb Gr3 Gr13 29 5 32000 ndash 04396106 24486949 true lt50 27385076 true lt50

Lu Gr3 Gr13 90 36 124000 + 30026890 23567873 false 9984 26160510 false 9968

Ba Gr3 Gr13 38 19 550 ndash 39201385 23960813 false 9997 26682150 false 9995

Co Gr3 Gr13 25 9 8459 ndash 36750666 28593663 false 9972 33030861 false 9943

Cr Gr3 Gr13 17 10 250 + 22576468 24850622 true 9835 27874162 true 967

Cs Gr3 Gr13 13 2 1021 + 28604545 318211700 true 893 636605000 true 786

Cu Gr3 Gr13 12 4 3249 ndash 50283106 42734100 false 9938 54176040 true 9875

Hf Gr3 Gr13 14 5 170 + 31062036 25669522 false 9968 28982604 false 9936

Nb Gr3 Gr13 46 13 57000 + 129468979 23935544 false gt999 26648502 false gt999

Ni Gr3 Gr13 14 14 260 + 36894620 24786262 false 9995 27787488 false 999

Rb Gr3 Gr13 48 19 650 + 111907409 23850803 false gt999 26535726 false gt999

156

VERMA Turkish J Earth Sci

Table 17 (Continued)

Parameter sect Group A(E-MVB)

Group B(CAVA)

nA(E-MVB)

nB(CAVA) df Sign t_calc

t_critOnendashSided

H0OnendashSided

CL_t OnendashSided

t_crit TwondashSided

H0 TwondashSided

CL_t TwondashSided

Sc Gr3 Gr13 13 5 4262 ndash 25428073 36228458 true 970 44164113 true 9399

Sr Gr3 Gr13 47 22 67000 ndash 75825579 23832844 false gt999 26511923 false gt999

Ta Gr3 Gr13 14 2 140 + 51602266 26245068 false gt999 29768513 false gt999

Th Gr3 Gr13 14 8 200 + 72448974 25279932 false gt999 28453151 false gt999

U Gr3 Gr13 14 8 200 + 90217927 25279932 false gt999 28453151 false gt999

V Gr3 Gr13 26 12 13501 ndash 19284075 26368443 true 9625 29937723 true 9249

Y Gr3 Gr13 48 18 64000 ndash 19659858 23860201 true 9732 26548284 true 9464

Zr Gr3 Gr13 48 22 64816 + 31328250 23852506 false 9987 26538055 false 9974

ln(TiO2SiO2) Gr3 Gr13 91 36 121715 ndash 28897804 23573654 false 9977 26168160 false 9954

ln(Al2O3SiO2) Gr3 Gr13 91 36 105118 ndash 35978191 23623309 false 9997 26233910 false 9994

ln(Fe2O3SiO2) Gr3 Gr13 91 36 106644 ndash 51644041 23618089 false gt999 26226995 false gt999

ln(FeOSiO2) Gr3 Gr13 90 36 99640 ndash 55763360 23643394 false gt999 26260519 false gt999

ln(MnOSiO2) Gr3 Gr13 89 35 69076 ndash 78562375 23815338 false gt999 26488662 false gt999

ln(MgOSiO2) Gr3 Gr13 91 36 110843 ndash 37602242 23604475 false 9997 26208964 false 9995

ln(CaOSiO2) Gr3 Gr13 91 34 104778 ndash 46507041 23624494 false 9961 26235480 false 9922

ln(Na2OSiO2) Gr3 Gr13 91 36 125000 + 00736105 23565411 true lt50 26157251 true lt50

ln(K2OSiO2) Gr3 Gr13 90 35 123000 + 49635284 23570377 false 9912 26163823 false 9825

ln(P2O5SiO2) Gr3 Gr13 87 36 47178 ndash 03606840 24080209 true lt50 26841220 true lt50

ln(LaTh) Gr3 Gr13 13 5 4223 ndash 26498122 36398800 true 973 44420587 true 9461

ln(SmTh) Gr3 Gr13 13 3 2045 ndash 28270116 67729756 true 9472 96145188 true 8943

ln(YbTh) Gr3 Gr13 14 5 4132 ndash 35877805 36815744 true 9891 45049712 true 9782

ln(NbTh) Gr3 Gr13 13 7 180 ndash 51622933 25523976 false gt999 28784619 false gt999

ln(Nb(TiO2)adj) Gr3 Gr13 48 13 59000 + 61876595 23912145 false gt999 26617365 false gt999

ln(V(TiO2)adj) Gr3 Gr13 27 12 14225 ndash 04207192 26192512 true lt50 27154234 true lt50

ln(Y(TiO2)adj) Gr3 Gr13 47 17 58906 + 29725994 23913213 false 9979 26618786 false 9957

ln(Zr(TiO2)adj) Gr3 Gr13 48 20 66000 + 79608291 23841680 false gt999 26523665 false gt999

ln(MgOTiO2)adj Gr3 Gr13 91 36 125000 ndash 28714834 23565411 false 9976 26157251 false 9952

ln(P2O5TiO2)adj Gr3 Gr13 88 34 42844 + 14388027 24165904 true 9212 26955560 true 8425

ln(Ni(TiO2)adj) Gr3 Gr13 14 14 260 + 62762243 24786262 false gt999 27787488 false gt999

ln(LaYb) Gr3 Gr13 27 10 350 + 62595748 24377385 false gt999 27238535 false gt999

ln(CeYb) Gr3 Gr13 28 10 36000 + 49151405 24345054 false 9975 27195016 false 9951

ln(SmYb) Gr3 Gr13 27 8 32904 + 11246996 24451741 true 8656 27337885 true 7313

ln(NbYb) Gr3 Gr13 21 5 240 + 39245522 24921631 false 9997 27969494 false 9993

ln(ThYb) Gr3 Gr13 14 5 4132 + 35877805 36815744 true 9891 45049712 true 9782

ln(YYb) Gr3 Gr13 20 9 270 + 09083106 24726494 true 8125 27706877 true 6249

ln(ZrYb) Gr3 Gr13 21 10 290 + 26924279 24620517 false 9942 27563496 true 9883

For more information see footnote of Table 15

157

VERMA Turkish J Earth Sci

2006b 2012 2013b Verma SP and Verma SK 2013) the second block from ln(LaTh) to ln(NbTh) is for immobile trace element-based diagrams for basic and ultrabasic rocks (Agrawal et al 2008) the third block from ln(Nb(TiO2)adj) to ln(Ni(TiO2)adj) is for immobile major and trace element-based diagrams for all kinds of igneous rocks (Verma and Agrawal 2011 Verma SP and Verma SK 2013 Verma et al 2013b) and the last block from ln(LaYb) to ln(ZrYb) is for immobile trace element-based diagrams for intermediate and acid igneous rocks (Verma SP and Verma SK 2013 Verma et al 2013b)

Groups A and B are consistently used for the E-MVB and CAVA respectively (Tables 15ndash17) Group numbers Gr1 Gr11 etc are arbitrarily assigned as required by the computer program UDASYS The number of samples for a given element or parameter in each group is shown in nA and nB columns The degrees of freedom (df) column gives the respective value for assignment of critical t values (ldquot_crit OnendashSidedrdquo and ldquot_crit TwondashSidedrdquo Tables 15ndash17) as programmed in the UDASYS software The minus sign in the ldquoSignrdquo column and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicate that the parameter evaluated for Group A (E-MVB) shows a statistically lower concentration or value than for Group B (CAVA) whereas the plus sign and ldquofalserdquo in the column ldquoH0 OnendashSidedrdquo indicates just the opposite ie the parameter for the E-MVB has a higher value than for CAVA Finally the outcome of ldquofalserdquo in the column ldquoH0 TwondashSidedrdquo signifies that the parameter in the E-MVB and CAVA has significantly different values whereas ldquotruerdquo in the column ldquoH0 TwondashSidedrdquo indicates that the parameter in the E-MVB and CAVA does not have significantly different values 431 Basic rocksThis type of rocks from the E-MVB and CAVA showed statistically significant differences for most (43 out of 50) chemical elements and (25 out of 28) log-ratio parameters (see ldquofalserdquo in columns ldquoH0 OnendashSidedrdquo and ldquoH0 TwondashSidedrdquo in Table 15) For conventional chemical elements the only exceptions were for MnO Er Ba Co Pb Sb and Sc in fact most of these conventional parameters showed significant differences at the 95 confidence level (for five of these elements see values of gt95 in the last column of Table 15) For log-ratios only three parameters did not show statistically significant differences between the E-MVB and CAVA (Table 15) Because most log-ratio parameters showed significant differences the E-MVB and CAVA samples plotted in different fields in the discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013)432 Intermediate rocksSignificant differences exist also for intermediate magmas from the E-MVB and CAVA for most (42 out of 50)

elements and (23 out of 28) log-ratio parameters (Table 16) The elements with no difference are (MgO)adj Ba Co Cr Sb Sc V and Zn whereas the ratios are ln(MgOSiO2) ln(NbTh) ln(P2O5TiO2)adj ln(Ni(TiO2)adj) and ln(YYb) For intermediate rocks somewhat more parameters were similar for the E-MVB and CAVA than for basic rocks Nevertheless the similarities and differences among the log-ratio parameters can also explain the behavior of the E-MVB and CAVA samples in multidimensional diagrams 433 Acid rocksThe E-MVB and CAVA showed a lesser number (26 out of 45) of chemical elements and (17 out of 28) log-ratio parameters for acid rocks for which significant differences were observed in their concentrations or values (Table 17) Smaller number of samples with statistically significant differences than for basic and intermediate rocks may be partly due to a very small number of samples of acid rocks compiled from the CAVA (only 2ndash36 Table 17)

5 Future workThe existing diagrams have been extensively used and tested in the original articles (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) as well as in numerous papers (eg Sheth 2008 Van Kranendonk and Sonntag 2012 Pandarinath and Verma 2013 Polat 2013 Verma 2013 Verma and Oliveira 2013 2014 Verma SK and Verma SP 2013 Pandarinath 2014a 2014b Velasco-Tapia 2014 Verma SK et al 2015 Verma SP et al 2015) Nevertheless more work is still needed to fill the gap in these new efficient and statistically coherent geochemical tools for better elucidating geological processes One such need is to distinguish the island and continental arcs in the discrimination diagrams for basic and ultrabasic magmas This task can now be easily accomplished from an appropriate representative database because it has been recently shown (Verma et al 2013a) from an extensive compilation of data that magmas from these two very similar tectonic settings have statistically significant differences for several log-ratio parameters

New multidimensional diagrams for sedimentary rocks are also very much needed to complement the geological inference from igneous rocks Two such diagrams to discriminate three tectonic settings have recently been proposed for siliciclastic sediments (Verma and Armstrong-Altrin 2013) but more work will certainly help to discriminate five tectonic settings (island arc continental arc continental rift ocean island and collision) from sedimentary rock data Similarly the discrimination of conventional settings of active and passive continental margins is also of much interest

Only the additive log-ratio (alr) transformation of

158

VERMA Turkish J Earth Sci

Aitchison (1986) has so far been used for discrimination diagrams (Verma et al 2006b 2012 2013b Agrawal et al 2008 Verma and Agrawal 2011 Verma SP and Verma SK 2013) The other two types of log-ratio transformations (the centered log-ratio (clr) of Aitchison (1986) and isometric log-ratio (ilr) of Egozcue et al (2003)) should also be evaluated and compared with the results of alr Although from the same database exactly the same diagrams are obtained the fulfillment of the multinormality condition required for linear discriminant analysis (Morrison 1990) could result in slightly different databases which would warrant the use of all three types of log-ratio transformations (Aitchison 1986 Egozcue et al 2003 Verma unpublished data) Finally new multidimensional diagrams for the classification of altered rocks are very much needed Work with the ilr transformation is in progress and soon new diagrams would be available for a more consistent nomenclature of altered igneous rocks

6 ConclusionsThe use of the conventional multielement and new multidimensional diagrams is successfully documented

to decipher the tectonic setting of the E-MVB Their good functioning is confirmed from the known subduction-related tectonic setting of the CAVA The application of discordancy and significance tests indicates that a large number of chemical and log-ratio parameters show statistically significant differences between the E-MVB and CAVA especially for basic and intermediate rocks These multidimensional diagrams and discordancy and significance tests constitute renewed geochemical tools The use of these tools is therefore highly recommended for future work for deciphering tectonic setting of a geological area under study as well as for objectively inferring similarities and differences among different geological provinces

AcknowledgmentsThis work was partly supported by DGAPA-PAPIIT project grant IN104813 I am also grateful to two anonymous reviewers for suggestions which helped me to improve an earlier version of this paper

References

Agostini S Corti G Doglioni C Carminati E Innocenti F Tonarini S Manetti P Di Vincenzo G Montanari D (2006) Tectonic and magmatic evolution of the active volcanic front in El Salvador insight into the Berliacuten and Ahuachapaacuten geothermal areas Geothermics 35 368ndash408

Agrawal S (1999) Geochemical discrimination diagrams a simple way of replacing eye-fitted boundaries with probability based classifier surfaces J Geol Soc India 54 335ndash346

Agrawal S Guevara M Verma SP (2008) Tectonic discrimination of basic and ultrabasic rocks through log-transformed ratios of immobile trace elements Int Geol Rev 50 1057ndash1079

Agrawal S Verma SP (2007) Comment on ldquoTectonic classification of basalts with classification treesrdquo by Pieter Vermeesch (2006) Geochim Cosmochim Acta 71 3388ndash3390

Aitchison J (1981) A new approach to null correlations of proportions Math Geol 13 175ndash189

Aitchison J (1982) The statistical analysis of compositional data (with discussion) J Roy Stat Soc Ser B (Stat Methodol) 44 137ndash177

Aitchison J (1984) Statistical analysis of geochemical compositions Math Geol 16 531ndash564

Aitchison J (1986) The Statistical Analysis of Compositional Data London UK Chapman and Hall

Aitchison J Barceloacute-Vidal C Martiacuten-Fernaacutendez JA Pawlowsky-Glahn V (2000) Logratio analysis and compositional distance Math Geol 32 271ndash275

Aitchison J Egozcue JJ (2005) Compositional data analysis where are we and where should we be heading Math Geol 37 829ndash850

Alvarado GE Carr MJ Turrin BD Swisher III CC Schmincke HU Hudnut KW (2006) Recent volcanic history of Irazuacute volcano Costa Rica alternation and mixing of two magma batches and pervasive mixing In Rose WI Bluth GJS Carr MJ Ewert J Patino LC Vallance J editors Volcanic Hazards in Central America Boulder CO USA Geological Society of America pp 259ndash276

Avellaacuten DR Maciacuteas JL Pardo N Scolamacchia T Rodriguez D (2012) Stratigraphy geomorphology geochemistry and hazard implications of the Nejapa volcanic field western Managua Nicaragua J Volcanol Geotherm Res 213ndash214 51ndash71

Bardintzeff JM Deniel C (1992) Magmatic evolution of Pacaya and Cerro Chiquito volcanological complex Guatemala Bull Volcanol 54 267ndash283

Barnett V Lewis T (1994) Outliers in Statistical Data Chichester UK John Wiley amp Sons

Blatter DL Carmichael ISE Deino AL Renne PR (2001) Neogene volcanism at the front of the central Mexican volcanic belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 113 1324ndash1342

Bolge LL Carr MJ Feigenson MD Alvarado GE (2006) Geochemical stratigraphy and magmatic evolution at Arenal volcano Costa Rica J Volcanol Geotherm Res 157 34ndash48

159

VERMA Turkish J Earth Sci

Buccianti A Mateau-Figueras G Pawlowsky-Glahn V (2006) Compositional Data Analysis in the Geosciences From Theory to Practice London UK Geological Society of London Special Publication 262

Cameron BI Walker JA Carr MJ Patino LC Matiacuteas O Feigenson MD (2002) Flux versus decompression melting at stratovolcanoes in southeastern Guatemala J Volcanol Geotherm Res 119 21ndash50

Carr MJ (1984) Symmetrical and segmented variation of physical and geochemical characteristics of the Central American volcanic front J Volcanol Geotherm Res 20 231ndash252

Carr MJ Feigenson MD Bennett EA (1990) Incompatible element and isotopic evidence for tectonic control of source mixing and melt extraction along the Central American arc Contrib Mineral Petrol 105 369ndash380

Carr MJ Rose WI Jr (1986) Centamndasha data base of Central American volcanic rocks J Volcanol Geotherm Res 33 239ndash240

Carr MJ Rose WI Stoiber RE (1982) Central America In Thorpe RS editor Andesites Chichester UK John Wiley amp Sons pp 149ndash166

Carr MJ Saginor I Alvarado GE Bolge LL Lindsay FN Milidakis K Turrin BD Feigenson MD Swisher CC 3rd (2007) Element fluxes from the volcanic front of Nicaragua and Costa Rica Geochem Geophys Geosys 8 Q06001

Carrasco-Nuacutentildeez G (2000) Structure and proximal stratigraphy of Citlalteacutepetl volcano (Pico de Orizaba) Mexico In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Paper pp 247ndash262

Carrasco-Nuacutentildeez G Branney MJ (2005) Progressive assembly of a massive layer of ignimbrite with a normal-to-reverse compositional zoning the Zaragoza ignimbrite of central Mexico Bull Volcanol 68 3ndash20

Carrasco-Nuacutentildeez G McCurry M Branney MJ Norry M Willcox C (2012) Complex magma mixing mingling and withdrawal associated with an intra-Plinian ignimbrite eruption at a large silicic caldera volcano Los Humeros of central Mexico Geol Soc Am Bull 124 1793ndash1809

Carrasco-Nuacutentildeez G Righter K Chesley J Siebert L Aranda-Goacutemez JJ (2005) Contemporaneous eruption of calc-alkaline and alkaline lavas in a continental arc (Eastern Mexican Volcanic Belt) chemically heterogeneous but isotopically homogeneous source Contrib Mineral Petrol 150 423ndash440

Carrasco-Nuacutentildeez G Rose WI (1995) Eruption of a major Holocene pyroclastic flow at Citlalteacutepetl volcano (Pico de Orizaba) Meacutexico 85-90 ka J Volcanol Geotherm Res 69 197ndash215

Carrasco-Nuacutentildeez G Siebert L Diacuteaz-Castelloacuten R Vaacutezquez-Selem L Capra L (2010) Evolution and hazards of a long-quiescent compound shield-like volcano Cofre de Perote Eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 197 209ndash224

Castro Govea R (1990) Historia eruptiva reciente del volcaacuten La Malinche MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Castro Govea R (2007) Historia eruptiva del volcaacuten La Malinche y estudio del emplazamiento del flujo piroclaacutestico Pilares Superior PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cebull SE Shurbet DH (1987) Mexican Volcanic Belt an intraplate transform Geofis Int 26 1ndash13

Chan LH Leeman WP You CF (1999) Lithium isotopic composition of Central American Volcanic Arc lavas implications for modification of subarc mantle by slab-derived fluids Chem Geol 160 255ndash280

Chayes F (1960) On correlation between variables of constant sum J Geophys Res 65 4185ndash4193

Correa Tello JC (2011) Caracterizacioacuten petrograacutefica y geoquiacutemica de Campo Volcaacutenica de Santiago Tetlapayac-El Tepozaacuten-Santa Cruz Hidalgo BSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Cox KG Bell JD Pankhurst RJ (1979) The Interpretation of Igneous Rocks London UK George Allen amp Unwin

Cruz-Huicochea R Verma SP (2013) New critical values for F and their use in the ANOVA and Fisherrsquos F tests for evaluating geochemical reference material granite G-2 (USA) and igneous rocks from the Eastern Alkaline Province (Mexico) J Iber Geol 39 13ndash30

Daacutevalos-Elizondo MG (2009) Petrologiacutea y geoquiacutemica de xenolitos ultramaacuteficos en Cd Cerdaacuten Puebla porcioacuten oriental de la Faja Volcaacutenica Trans-Mexicana MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

De Cserna Z (1971) Precambrian sedimentation tectonics and magmatism in Mexico Geol Rundsch 60 1488ndash1513

Demant A (1981) Lrsquoaxe neacuteo-volcanique transmexicain eacutetude volcanologique et peacutetrographique signification geacuteodynamique PhD Universiteacute de Droit drsquoEconomie et des Sciences drsquoAix-Marseille Marseille France (in French)

DePaolo DJ (1981) Trace element and isotopic effects of combined wallrock assimilation and fractional crystallization Earth Planet Sci Lett 53 189ndash202

Duffield WA Heiken GH Wohletz KH Maassen LW Dengo G McKee EH Castantildeeda O (1992) Geology and geothermal potential of the Tecuamburro volcano area Guatemala Geothermics 21 425ndash446

Egozcue JJ Pawlowsky-Glahn V Mateu-Figueras G Barceloacute-Vidal C (2003) Isometric logratio transformations for compositional data analysis Math Geol 35 279ndash300

Faure G (1986) Principles of Isotope Geology New York NY USA Wiley

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VERMA Turkish J Earth Sci

Feigenson MD Carr MJ (1993) The source of Central American lavas inferences from geochemical inverse modeling Contrib Mineral Petrol 113 226ndash235

Ferrari L (2004) Slab detachment control on mafic volcanic pulse and mantle heterogeneity in central Mexico Geology 32 77ndash80

Ferrari L Petrone CM Francalanci L (2002) Reply ldquoGeneration of oceanic-island basalt type volcanism in the western Trans-Mexican volcanic belt by slab rollback asthenosphere infiltration and variable flux meltingrdquo Geology 114 858ndash859

Ferrari L Rosas-Elguera J (1999) Alkalic (ocean-island basalt type) and calc-alkaline volcanism in the Mexican volcanic belt a case for plume-related magmatism and propagating rifting at an active margin Comment and reply Geology 27 1055ndash1056

Ferriz H Mahood GA (1987) Strong compositional zonation in a silicic magmatic system Los Humeros Mexican Neovolcanic Belt J Petrol 28 171ndash209

Floyd PA Winchester JA (1975) Magma type and tectonic setting discrimination using immobile elements Earth Planet Sci Lett 27 211ndash218

Floyd PA Winchester JA (1978) Identification and discrimination of altered and meta-morphosed volcanic rocks using immobile elements Chem Geol 21 291ndash306

Freeze AR Cherry JA (1979) Groundwater Upper Saddle River NJ USA Prentice Hall

Goacutemez-Tuena A LaGatta AB Langmuir CH Goldstein SL Ortega-Gutieacuterrez F Carrasco-Nuacutentildeez G (2003) Temporal control of subduction magmatism in the eastern Trans-Mexican Volcanic Belt mantle sources slab contributions and crustal contamination G3 4 8912

Goacutemez-Tuena A Orozco-Esquivel MT Ferrari L (2007) Igneous petrogenesis of the Trans-Mexican Volcanic Belt In Alaniz-Aacutelvarez SA Nieto-Samaniego AacuteF editors Geology of Mexico Celebrating the Centenary of the Geological Society of Mexico Boulder CO USA Geological Society of America Colorado USA pp 129ndash181

Gonzaacutelez Partida E Torres Rodriguez V Birkle P (1997) Plio-Pleistocene volcanic history of the Ahuachapan geothermal system El Salvador the Concepcioacuten de Ataco caldera Geothermics 26 555ndash575

Hall A (1996) Igneous Petrology Essex UK Longman

Hazlett RW (1987) Geology of San Cristobal volcanic complex Nicaragua J Volcanol Geotherm Res 33 223ndash230

Jensen JL Lake LW Corbett PWM Goggin DJ (1997) Statistics for Petroleum Engineers and Geoscientists Upper Saddle River NJ USA Prentice Hall

Kim WH Clayton RW Keppie F (2011) Evidence of a collision between the Yucataacuten block and Mexico in the Miocene Geophys J Int 187 989ndash1000

Kudo AM Jackson ME Husler J W (1985) Phase chemistry of recent andesite dacite and rhyodacite of Volcan Pico de Orizaba Mexican Volcanic Belt evidence for xenolitic contamination Geofis Int 24 679ndash689

Le Bas MJ (2000) IUGS reclassification of the high-Mg and picritic volcanic rocks J Petrol 41 1467ndash1470

Le Bas MJ Le Maitre RW Streckeisen A Zanettin B (1986) A chemical classification of volcanic rocks based on the total alkali-silica diagram J Petrol 27 745ndash750

Le Bas MJ Streckeisen AL (1991) The IUGS systematics of igneous rocks J Geol Soc London 148 825ndash833

Leeman WP Carr MJ (1995) Geochemical constraints on subduction processes in the Central American Volcanic Arc Implications of boron geochemistry GSA Special Papers 295 57ndash73

Le Maitre RW Streckeisen A Zanettin B Le Bas MJ Bonin B Bateman P Bellieni G Dudek A Schmid R Sorensen H et al (2002) Igneous Rocks A Classification and Glossary of Terms Recommendations of the International Union of Geological Sciences Subcommission of the Systematics of Igneous Rocks Cambridge UK Cambridge University Press

Loacutepez Hernaacutendez A (2009) Evolucioacuten volcaacutenica del complejo Tulancingo-Acoculco y su sistema hidrotermal estados de Hidalgo y Puebla Meacutexico PhD Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Maacuterquez A Oyarzun R de Ignacio C Doblas M (2001) Southward migration of volcanic activity in the central Mexican Volcanic Belt asymmetric extension within a two-layer crustal stretching model J Volcanol Geotherm Res 112 175ndash187

Maacuterquez A Oyarzun R Doblas M Verma SP (1999a) Alkalic (ocean-island basalt type) and calc-alkalic volcanism in the Mexican Volcanic Belt a case for plume-related magmatism and propagating rifting at an active margin Geology 27 51ndash54

Maacuterquez A Oyarzun R Doblas M Verma SP (1999b) Reply (to Comment by L Ferrari and J Rosas Elguera on ldquoAlkalic (ocean basalt type) and calc-alkalic volcanism in the Mexican volcanic belt a case of plume-related magmatism and propagating rift at an active marginrdquo Comment and Reply Geology 27 1055ndash1056

McDonough WF Sun SS (1995) The composition of the Earth Chem Geol 120 223ndash253

Middlemost EAK (1989) Iron oxidation ratios norms and the classification of volcanic rocks Chem Geol 77 19ndash26

Miller JN Miller JC (2005) Statistics and chemometrics for analytical chemistry Essex UK Pearson Prentice Hall

Molnar P Sykes LR (1969) Tectonics of the Caribbean and Middle America regions from focal mechanisms and seismicity Geol Soc Am Bull 80 1639ndash1684

161

VERMA Turkish J Earth Sci

Moore G Marone C Carmichael ISE Renne P (1994) Basaltic volcanism and extension near the intersection of the Sierra Madre volcanic province and the Mexican Volcanic Belt Geol Soc Am Bull 106 383ndash394

Mooser F (1969) The Mexican Volcanic Belt-structure and development Formation of fractures by differential crustal heating In Maldonado-Koerdell M editor Pan-American Symposium on Upper Mantle Group II Upper Mantle Petrology and Tectonics Mexico City Mexico Instituto de Geofiacutesica UNAM pp 15ndash22

Mora JC Maciacuteas JL Garciacutea-Palomo A Arce JL Espiacutendola JM Manetti P Vaselli O Saacutenchez JM (2004) Petrology and geochemistry of the Tacanaacute Volcanic complex Mexico-Guatemala evidence for the last 40 000 yr of activity Geofis Int 43 331ndash359

Morales Barrera WV (2009) Estudio geoloacutegico de un depoacutesito ignimbriacutetico en la regioacuten de Xalapa Veracruz distribucioacuten estratigrafiacutea petrografiacutea y geoquiacutemica MSc Universidad Nacional Autoacutenoma de Meacutexico Mexico City Mexico (in Spanish)

Morrison DF (1990) Multivariate Statistical Methods New York NY USA McGraw-Hill

Mooser F Maldonado-Koerdell M (1961) Mexican national report on volcanology Anal Inst Geofis 7 45ndash53

Negendank JFW Emmermann R Krawczyk R Mooser F Tobschall H Werle D (1985) Geological and geochemical investigations on the eastern Trans Mexican Volcanic Belt Geofis Int 24 477ndash575

Negendank JFW Emmermann R Mooser F Seifert-Kraus U Tobschall HJ (1981) Evolution of some Tertiary and Quaternary central volcanoes of the Trans-Mexican Volcanic Belt and possible different positions of the Benioff zone Zentralb Geol Palaumlont 34 183ndash194

Orozco-Esquivel MT (1995) Zur Petrologie des Vulkangebietes von Palma-Sola Mexiko Ein Beispiel fuer den Uebergang von anorogenem zu orogenem Vulkanismus PhD Universitaet Karlsruhe Karlsruhe Germany

Orozco-Esquivel T Petrone CM Ferrari L Tagami T Manetti P (2007) Geochemical and isotopic variability in lavas from the eastern Trans-Mexican Volcanic Belt slab detachment in a subduction zone with varying dip Lithos 93 149ndash174

Ottonello G (1997) Principles of Geochemistry New York NY USA Columbia University Press

Pacheco JF Singh SK (2010) Seismicity and state of stress in Guerrero segment of the Mexican subduction zone J Geophys Res 115 B01303

Pandarinath K (2014a) Testing of the recently developed tectonomagmatic discrimination diagrams from hydrothermally altered igneous rocks of 7 geothermal fields Turk J Earth Sci 23 412ndash426

Pandarinath K (2014b) Tectonomagmatic origin of Precambrian rocks of Mexico and Argentina inferred from multi-dimensional discriminant-function based discrimination diagrams J South Am Earth Sci 56 464ndash484

Pandarinath K Verma SK (2013) Application of four sets of tectonomagmatic discriminant function based diagrams to basic rocks from northwest Mexico J Iber Geol 39 181ndash195

Pardo M Suaacuterez G (1995) Shape of the subducted Rivera and Cocos plates in southern Mexico Seismic and tectonic implications J Geophys Res 100 12357ndash12373

Pardo N Avellaacuten DR Maciacuteas JL Scolamacchia T Rodriacuteguez D (2008) The ~1245 yr BP Asososca maar new advances on recent volcanic stratigraphy of Managua (Nicaragua) and hazard implications J Volcanol Geotherm Res 176 493ndash512

Patino LC Carr MJ Feigenson MD (1997) Cross-arc geochemical variations in volcanic fields in Honduras CA progressive changes in source with distance from the volcanic front Contrib Mineral Petrol 129 341ndash351

Patino LC Carr MJ Feigenson MD (2000) Local and regional variations in Central American arc lavas controlled by variations in subducted sediment input Contrib Mineral Petrol 138 265ndash283

Pearson K (1897) Mathematical contribution to the theory of evolution - on a form of spurious correlation which may arise when indices are used in the measurement of organs P R Soc London 60 489ndash502

Peacuterez-Campos X Kim Y Husker A Davis PM Clayton RW Iglesias A Pacheco JF Singh SK Manea VC Gurnis M (2008) Horizontal subduction and truncation of the Cocos plate beneath central Mexico Geophys Res Lett 35 L18303

Polat A (2013) Geochemical variations in Archean volcanic rocks southwestern Greenland traces of diverse tectonic settings in the early Earth Geology 41 379ndash380

Ragland PC (1989) Basic Analytical Petrology New York NY USA Oxford University Press

Reagan MK Gill JB (1989) Coexisting calcalkaline and high-niobium basalts from Turrialba volcano Costa Rica implications for residual titanates in arc magma sources J Geophys Res 94 4619ndash4633

Rodriacuteguez SR Siebe C Komorowski JC Abrams M (2002) The Quetzalapa pumice a voluminous late Pleistocene rhyolite deposit in the eastern Trans-Mexican Volcanic Belt J Volcanol Geotherm Res 113 177ndash212

Rollinson HR (1993) Using Geochemical Data Evaluation Presentation Interpretation Essex UK Longman Scientific Technical

Rossotti A Carrasco-Nuacutentildeez G Rosi M Di Muro A (2006) Eruptive dynamics of the ldquoCitlalteacutepetl pumicerdquo at Citlalteacutepetl volcano eastern Mexico J Volcanol Geotherm Res 158 401ndash429

162

VERMA Turkish J Earth Sci

Rotolo SG Castorina F (1998) Transition from mildly-tholeiitic to calc-alkaline suite the case of Chicontepec volcanic centre El Salvador Central America J Volcanol Geotherm Res 86 117ndash136

Ryder CH Gill JB Tepley F 3rd Ramos F Reagan M (2006) Closed- to open-system differentiation at Arenal volcano (1968-2003) J Volcanol Geotherm Res 157 75ndash93

Schaaf P Carrasco-Nuacutentildeez G (2010) Geochemical and isotopic profile of Pico de Orizaba (Citlalteacutepetl) volcano Mexico Insights for magma generation processes J Volcanol Geotherm Res 197 108ndash122

Siebe C Abrams M Sheridan MF (1993) Major Holocene block-and-ash fan at the western slope of ice-capped Pico de Orizaba volcano Meacutexico implications for future hazards J Volcanol Geotherm Res 59 1ndash33

Siebe C Verma SP (1988) Major element geochemistry and tectonic setting of Las Derrumbadas rhyolitic domes Puebla Mexico Chem Erde 48 177ndash189

Siebert L Carrasco-Nuacutentildeez G (2002) Late-Pleistocene to precolumbian behind-the-arc mafic volcanism in the eastern Mexican Volcanic Belt implications for future hazards J Volcanol Geotherm Res 115 179ndash205

Sheth HC (2008) Do major oxide tectonic discrimination diagrams work Evaluating new log-ratio and discriminant-analysis-based diagrams with Indian Ocean mafic volcanics and Asian ophiolites Terra Nova 20 229ndash236

Sheth HC Torres-Alvarado IS Verma SP (2000) Beyond subduction and plumes a unified tectonic-petrogenetic model for the Mexican Volcanic Belt Int Geol Rev 42 1116ndash1132

Shurbet DH Cebull SE (1984) Tectonic interpretation of the Trans-Mexican Volcanic Belt Tectonophysics 101 159ndash165

Singer BS Smith KE Jicha BR Beard BL Johnson CM Rogers NW (2011) Tracking open-system differentiation during growth of Santa Mariacutea volcano Guatemala J Petrol 52 2335ndash2363

Suarez G Singh SK (1986) Tectonic interpretation of the Trans-Mexican Volcanic Beltmdashdiscussion Tectonophysics 127 155ndash160

Sun SS McDonough WF (1989) Chemical and isotopic systematics of oceanic basalts implications for mantle composition and processes In Saunders AD Norry MJ editors Magmatism in the Ocean Basins London UK Geological Society Special Publication pp 313ndash345

Sussman D (1985) Apoyo caldera Nicaragua a major Quaternary silicic eruptive center J Volcanol Geotherm Res 24 249ndash282

Tatsumi Y Eggins S (1995) Subduction Zone Magmatism Frontiers in Earth Sciences Cambridge MA USA Blackwell Science

Taylor SR McLennan SM (1985) The Continental Crust Its Composition and Evolution Geoscience Texts Oxford UK Blackwell Scientific

Torres-Alvarado IS Verma SP (2003) Discussion and reply Neogene volcanism at the front of the central Mexican Volcanic Belt basaltic andesites to dacites with contemporaneous shoshonites and high-TiO2 lava Geol Soc Am Bull 115 1020ndash1024

Torres-Alvarado IS Verma SP Palacios-Berruete H Guevara M Gonzaacutelez-Castillo OY (2003) DC_Base a database system to manage Nernst distribution coefficients and its application to partial melting modeling Comput Geosci 29 1191ndash1198

Van Kranendonk MJ Sonntag I (2012) Geochemistry and tectonic setting of basalts from the Eastern Goldfields Superterrane Aust J Earth Sci 59 707ndash735

Velasco-Tapia F (2014) Multivariate analysis mass balance techniques and statistical tests as tools in igneous petrology Application to the Sierra de las Cruces Volcanic Range (Mexican Volcanic Belt) The Scientific World Journal 2014 2014 793236

Velasco-Tapia F Verma SP (2013) Magmatic processes at the volcanic front of Central Mexican Volcanic Belt Sierra de Chichinautzin volcanic field (Mexico) Turk J Earth Sci 22 32ndash60

Verma SK Oliveira EP (2013) Application of multi-dimensional discrimination diagrams and probability calculations to Paleoproterozoic acid rocks from Brazilian cratons and provinces to infer tectonic settings J South Am Earth Sci 45 117ndash146

Verma SK Oliveira EP (2014) Tectonic setting of basic igneous and metaigneous rocks of Borborema Province Brazil using multi-dimensional geochemical discrimination diagrams J South Am Earth Sci (in press)

Verma SK Oliveira EP Verma SP (2015) Plate tectonic settings for Precambrian basic rocks from Brazil by multi-dimensional tectonomagmatic discrimination diagrams and their limitations Int Geol Rev (in press)

Verma SK Pandarinath K Verma SP (2012) Statistical evaluation of tectonomagmatic discrimination diagrams for granitic rocks and proposal of new discriminant-function-based multi-dimensional diagrams for acid rocks Int Geol Rev 54 325ndash347

Verma SK Verma SP (2013) Identification of Archaean plate tectonic processes from multidimensional discrimination diagrams and probability calculations Int Geol Rev 55 225ndash248

Verma SP (1983) Magma genesis and chamber processes at Los Humeros caldera MexicondashNd and Sr isotope data Nature 301 52ndash55

Verma SP (1984) Alkali and alkaline earth element geochemistry of Los Humeros caldera Puebla Mexico J Volcanol Geotherm Res 20 21ndash40

Verma SP (1991a) Determination of thirteen rare-earth elements by high-performance liquid chromatography in thirty and of K Rb Cs Sr and Ba by isotope dilution mass spectrometry in eighteen international geochemical reference samples Geostand Newslett 15 129ndash134

163

VERMA Turkish J Earth Sci

Verma SP (1991b) Usefulness of liquid chromatography for determination of thirteen rare-earth elements in rocks and minerals Lanth Actin Res 3 237ndash257

Verma SP (1992) Seawater alteration effects on REE K Rb Cs Sr U Th Pb and Sr-Nd-Pb isotope systematics of Mid-Ocean Ridge Basalt Geochem J 26 159ndash177

Verma SP (1999) Geochemistry of evolved magmas and their relationship to subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt J Volcanol Geotherm Res 93 151ndash171

Verma SP (2000a) Geochemical evidence for a lithospheric source for magmas from Los Humeros caldera Puebla Mexico Chem Geol 164 35ndash60

Verma SP (2000b) Geochemistry of the subducting Cocos plate and the origin of subduction-unrelated mafic volcanism at the volcanic front of the central Mexican Volcanic Belt In Delgado-Granados H Aguirre-Diacuteaz G Stock JM editors Cenozoic Tectonics and Volcanism of Mexico Boulder CO USA Geological Society of America Special Papers pp 195ndash222

Verma SP (2001a) Geochemical evidence for a lithospheric source for magmas from Acoculco caldera Eastern Mexican Volcanic Belt Int Geol Rev 43 31ndash51

Verma SP (2001b) Geochemical and Sr-Nd-Pb isotopic evidence for a combined assimilation and fractional crystallisation process for volcanic rocks from the Huichapan caldera Hidalgo Mexico Lithos 56 141ndash164

Verma SP (2002) Absence of Cocos plate subduction-related basic volcanism in southern Mexico a unique case on Earth Geology 30 1095ndash1098

Verma SP (2004) Solely extension-related origin of the eastern to west-central Mexican Volcanic Belt (Mexico) from partial melting inversion model Curr Sci 86 713ndash719

Verma SP (2005) Estadiacutestica baacutesica para el manejo de datos experimentales aplicacioacuten en la Geoquiacutemica (Geoquimiometriacutea) Mexico City Mexico UNAM (in Spanish)

Verma SP (2006) Extension-related origin of magmas from a garnet-bearing source in the Los Tuxtlas volcanic field Mexico Int J Earth Sci 95 871ndash901

Verma SP (2009) Continental rift setting for the central part of the Mexican Volcanic Belt a statistical approach Open Geol J 3 8ndash29

Verma SP (2010) Statistical evaluation of bivariate ternary and discriminant function tectonomagmatic discrimination diagrams Turk J Earth Sci 19 185ndash238

Verma SP (2012) Application of multi-dimensional discrimination diagrams and probability calculations to acid rocks from Portugal and Spain Comunicaccedil Geol 99 79ndash93

Verma SP (2013) Application of 50 multi-dimensional discrimination diagrams and significance tests to decipher compositional similarities and differences between Hawaiian and Icelandic volcanism Int Geol Rev 55 1553ndash1572

Verma SP Agrawal S (2011) New tectonic discrimination diagrams for basic and ultrabasic volcanic rocks through log-transformed ratios of high field strength elements and implications for petrogenetic processes Rev Mex Cienc Geol 28 24ndash44

Verma SP Armstrong-Altrin JS (2013) New multi-dimensional diagrams for tectonic discrimination of siliciclastic sediments and their application to Precambrian basins Chem Geol 355 117ndash133

Verma SP Besch T Guevara M Schulz-Dobrich B (1992) Determination of twelve trace elements in twenty-seven and ten major elements in twenty-three geochemical reference samples by X-ray fluorescence spectrometry Geostand Newslett 16 301ndash309

Verma SP Cruz-Huicochea R (2013) Alternative approach for precise and accurate Studentacutes t critical values and application in geosciences J Iber Geol 39 31ndash56

Verma SP Cruz-Huicochea R Diacuteaz-Gonzaacutelez L (2013a) Univariate data analysis system deciphering mean compositions of island and continental arc magmas and influence of underlying crust Int Geol Rev 55 1922ndash1940

Verma SP Diacuteaz-Gonzaacutelez L (2012) Application of the discordant outlier detection and separation system in the geosciences Int Geol Rev 54 593ndash614

Verma SP Diacuteaz-Gonzaacutelez L Gonzaacutelez-Ramiacuterez R (2009) Relative efficiency of single-outlier discordancy tests for processing geochemical data on reference materials and application to instrumental calibration by a weighted least-squares linear regression model Geostand Geoanal Res 33 29ndash49

Verma SP Diacuteaz-Gonzaacutelez L Saacutenchez-Upton P Santoyo E (2006a) OYNYL A new computer program for ordinary York and New York least-squares linear regressions WSEAS Trans Environ Dev 2 997ndash1002

Verma SP Guevara M Agrawal S (2006b) Discriminating four tectonic settings five new geochemical diagrams for basic and ultrabasic volcanic rocks based on log-ratio transformation of major-element data J Earth Syst Sci 115 485ndash528

Verma SP Lopez MM (1982) Geochemistry of Los Humeros caldera Puebla Mexico Bull Volcanol 45 63ndash79

Verma SP Pandarinath K Verma SK Agrawal S (2013b) Fifteen new discriminant-function-based multi-dimensional robust diagrams for acid rocks and their application to Precambrian rocks Lithos 168ndash169 113ndash123

Verma SP Quiroz-Ruiz A (2008) Critical values for 33 discordancy test variants for outliers in normal samples of very large sizes from 1000 to 30000 and evaluation of different regression models for the interpolation of critical values Rev Mex Cienc Geol 25 369ndash381

164

VERMA Turkish J Earth Sci

Verma SP Quiroz-Ruiz A (2011) Corrigendum to Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100 and applications in science and engineering [Rev Mex Cienc Geol 23 (2006) 302ndash319] Rev Mex Cienc Geol 28 202

Verma SP Quiroz-Ruiz A Diacuteaz-Gonzaacutelez L (2008) Critical values for 33 discordancy test variants for outliers in normal samples up to sizes 1000 and applications in quality control in Earth Sciences Rev Mex Cienc Geol 25 82ndash96

Verma SP Rivera-Goacutemez MA (2013a) Computer programs for the classification and nomenclature of igneous rocks Episodes 36 115ndash124

Verma SP Rivera-Goacutemez MA (2013b) New computer program TecD for tectonomagmatic discrimination from discriminant function diagrams for basic and ultrabasic magmas and its application to ancient rocks J Iber Geol 39 167ndash179

Verma SP Rodriacuteguez-Riacuteos R Gonzaacutelez-Ramiacuterez R (2010) Statistical evaluation of classification diagrams for altered igneous rocks Turk J Earth Sci 19 239ndash265

Verma SP Torres-Alvarado IS Sotelo-Rodriacuteguez ZT (2002) SINCLAS Standard igneous norm and volcanic rock classification system Comput Geosci 28 711ndash715

Verma SP Torres-Alvarado IS Velasco-Tapia F (2003) A revised CIPW norm Schweiz Miner Petrog Mitteil 83 197ndash216

Verma SP Verma SK (2013) First 15 probability-based multi-dimensional discrimination diagrams for intermediate magmas and their robustness against post-emplacement compositional changes and petrogenetic processes Turk J Earth Sci 22 931ndash995

Verma SP Verma SK Oliveira EP (2015) Application of 55 multi-dimensional tectonomagmatic discrimination diagrams to Precambrian belts Int Geol Rev (in press)

Verma SP Verma SK Pandarinath K Rivera-Goacutemez MA (2011) Evaluation of recent tectonomagmatic discrimination diagrams and their application to the origin of basic magmas in Southern Mexico and Central America Pure Appl Geophys 168 1501ndash1525

Walker JA Carr MJ Feigenson MD Kalamarides RI (1990) The petrogenetic significance of interstratified high- and low-Ti basalts in central Nicaragua J Petrol 31 1141ndash1164

Walker JA Patino LC Cameron BI Carr MJ (2000) Petrogenetic insights provided by compositional transects across the Central American arc southeastern Guatemala and Honduras J Geophys Res 105 18949ndash18963

Walker JA Patino LC Carr MJ Feigenson MD (2001) Slab control over HFSE depletions in central Nicaragua Earth Planet Sci Lett 192 533ndash543

Wedepohl KH (1971) Geochemistry New York NY USA Holt Rinehart and Winston

Wilson M (1989) Igneous Petrogenesis A Global Tectonic Approach London UK Harper Collins Academic

Winchester JA Floyd PA (1976) Geochemical magma type discrimination application to altered and metamorphosed basic igneous rocks Earth Planet Sci Lett 28 459ndash469

Winchester JA Floyd PA (1977) Geochemical discrimination of different magma series and their differentiation products using immobile elements Chem Geol 20 325ndash343

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