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DEVELOPMENTS IN SEDIMENTOLOGY 10
CYCLIC SEDIMENTAT ION
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FURTHER
TITLES
IN THIS
SERIES
1 .
DELTAIC A N D SHALLOW MARINE DEPOSITS
L . M . J .
U .
VA N ST RAATE N, Editor
2 . G. C . AMSTU TZ, Editor
SEDIMENTOLOGY A N D ORE GENESIS
3.
TURBIDITES
A . H. B OU MA and A. BRO UW ER, Editors
4. F. G. TICKELL
THE TECHNIQUES OF SEDIMENTAR Y MINERALO GY
5 . J.
C.
INGL E Jr.
THE MOVEMENT OF BEACH SA ND
6.
THE IDENTIFICATION OF DETRITAL FELDSPARS
L . V A N D E R P L A S J r.
7.
SEDIMENTARY FEATURES
OF
FLYSCH AN D GREYWACKES
S . DzUEYI?SKY and E. K. W A L T ON
8.
DIAGENESIS IN SEDIMENTS
G . LARSE N and G . V . CHILINGAR, Editors
9.
CARBONATE ROCKS
G. V . CHILINGAR, H .
J .
BISSELL and R . W . FAIRB RIDG E, Editors
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DEVELOPMENTS IN SEDIMENTOLOGY 10
CYCLIC SEDIMENTATION
BY
P.
McL.
D.
DUFF
A.
HALLAM
AND
E.
K. WALTON
Grant Institute of Geology
University
of
Edinburgh, Edinburgh, Great Britain
ELSEVIER PUBLISHING COMPANY Amsterdam London New York
1967
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ELSEVIER PUBLISHING COMPANY
335
IAN VAN GALENSTRAAT, P.O. BOX 211, AMSTERDAM
AMERICAN ELSEVIER PUBLISHING COMPANY, INC.
52
VANDERBILT
AVENUE,
NEW
YORK,
N.Y.
10017
ELSEVIER PUBLISHING COMPANY LIMITED
RIPPLESIDE COMMERCIAL ESTATE, BARKING, ESSEX
LIBRARY OF CONGRESS CATALOG
CARD NUMBER 67-1
1544
WITH 91
ILLUSTRATIONS AND 35
TABLES
ALL RIGHTS RESERVED
THIS BOOK OR ANY PART THEREOF MAY NOT BE REPRODUCED IN ANY FORM, INCLUDING PHOTOSTATIC
OR MICROFILM FORM, WlTHOlJT WRITTEN PERMISSION FROM THE PUBLISHERS
PRINTED IN THE NETHERLANDS
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PREFACE
Despite the existence of a huge literature this is the first time that a textbook has
been written on the subject of cyclic sedimentation. We cannot claim that our review
of this literature is completely exhaustive, Russian work in particular being under-rep-
resented. We have, however, tried to cover as much of the relevant data as is neces-
sary to allow for adequate consideration of all significant hypotheses.
It has been found desirable to vary the style of treatment of the subject from
chapter to chapter and both the metric and foot-inch scale of stratigraphical meas-
urement have been used. In this we have been guided by the nature of the data and
the existing literature.
We should like to express our thanks to a number of people whose co-operation
has been invaluable. Dr.
D. F.
Merriam kindly allowed us to study the unpublished
manuscripts of a number of contributions to an important symposium on cyclic
sedimentation, which appeared as Bulletin
169
of the Kansas Geological Survey
just when our manuscript was going to press. Dr. Merriam also showed two of
us
(P. D. and
A .
H.) some of the classic sections of Late Palaeozoic Kansan cyclothems
and Dr.
H .
R.
Wanless showed one of
us
(P. D.) important Pennsylvanian sections
in Illinois and Indiana. Grants in aid of travel were provided by the Commonwealth
Fund (A.H.) and the Carnegie Trust for the Universities of Scotland (P.D.). Dr.
J.
H, Rattigan obligingly supplied an
unpublished manuscript
on
some Australian
Carboniferous cycles and Prof. F.
H.
Stewart made helpful comments on Chapter
8.
Permission to reproduce text figures has been obtained from the authors or
journals concerned.
We should also like to acknowledge the considerable secretarial work of
Miss
A. Lord and the technical help given to
us
by members of the staff of the
Grant Institute of Geology.
Edinburgh
P. McL.
D.
DUFF
A.
HALLAM
E.
K. WALTON
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CONTENTS
PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII
CHAPTER 1 NTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1
ycles. rhythms and cyclothems
. . . . . . . . . . . . . . . . . . . . . . . . . . .
Nomenclature
of
cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Classification and description . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Time series and harmonic analysis.
13
-
Scale; phase and facies.
18
CHAPTER 2. CYCLES IN FLUVIAL REGIMES
. . . . . . . . . . . . . . . . . . 21
Cycles in the Old Red Sandstone
of
Britain
. . . . . . . . . . . . . . . . . . . . . .
21
Molasse of Switzerland . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
33
Fluvio-lacustrine coal-bearing sequences of Gondwanaland
. . . . . . . . . . . . . . . 38
Witwatersrand System
of
South Africa
. . . . . . . . . . . . . . . . . . . . . . . .
43
Flysch facies in molasse. 35
CHAPTER
3
.CYCLES IN LACUSTRINE REGIMES . . . . . . . . . . . . . . . .
49
Introduction
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
Glacial varved clays
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
Non-glacial lakes
. . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
61
Periodicity. 53
-
Transportation and sedimentation. 55 ong-term variations.
60
Varves. 62.eriodicity. 64.unspot cycles. 66 arger cycles. 67
CHAPTER
4.
TRANSITIONAL REGIMES. I-NORTH AMERICA
. . . . . . . . . 81
United States of America
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
81
Eastern Interior Basin. 83
-
Mid-Continent Basin. 88
-
Appalachian Basin. 97
-
Rocky
Mountain region.
102
Nova Scotia. 104
Canada . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
Theories
of
origin
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
104
CHAPTER
5
.TRANSITIONAL REGIMES. 11-EUROPE . . . . . . . . . . . . . .
117
Great Britain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
Continental Europe
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
141
Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
148
Visean. Tournaisian and Namurian.
117
-
Namurian and Westphalian.
132
Environment
of
deposition. 148
-
Cycle mechanisms. 149
CHAPTER
6.
EPICONTINENTAL MARINE ENVIRONMENTS. I . . . . . . . . . .
157
Calcareous and argillaceous rocks
. . . . . . . . . . . . . . . . . . . . . . . . . .
157
Cycles composed of differing types
of
limestone
. . . . . . . . . . . . . . . . . . . .
158
Cycles composed of limestones and argillaceous beds . . . . . . . . . . . . . . . . .
163
Limestonedolomite cycles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
161
Minor cycles. 163 - Major cycles.
170
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CHAPTER
7.
EPICONTINENTAL MARINE ENVIRONMENTS.
I1 . . . . . . . . . 183
Cycles with significant quantities of sandstone. ironstone and phosphorite: minor cycles with
bituminous laminae . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
183
Clay-sandstone-limestone cycles . . . . . . . . . . . . . . . . . . . . . . . . . .
183
Clay-sandstone cycles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185
Ironstone-bearing cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
187
Phosphorite-bearing cycles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
191
Minor cycles with bituminous laminae . . . . . . . . . . . . . . . . . . . . . . . .
192
CHAPTER
8
.
EPICONTINENTAL MARINE ENVIRONMENTS. I11
. . . . . . . . .
199
Evaporite cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
199
Major cycles with subsidiary evaporites . . . . . . . . . . . . . . . . . . . . . . .
200
Cycles with dominant evaporites
. . . . . . . . . . . . . . . . . . . . . . . . . . 204
Evaporite vames and solar cycles . . . . . . . . . . . . . . . . . . . . . . . . . .
212
CHAPTER
9.
FLYSCH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
215
Modal cycles and composite sequences . . . . . . . . . . . . . . . . . . . . . . . .
216
Ideal (model) cycle
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
221
Turbidity currents.
223
- Combined action of turbidity currents and bottom currents.
226
-
Bottom currents.
227
Major and intermediate cycles.
204
- Minor cycles.
209
Megarhythms
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228
CHAPTER
10
.SEDIMENTARY CYCLES AND FAUNAL CHANGE
. . . . . . . . . 233
Faunal succession within major sedimentary cycles . . . . . . . . . . . . . . . . . .
233
Faunal change between major sedimentary cycles
. . . . . . . . . . . . . . . . . . . 236
CHAPTER
11
.
GENERAL
CONCLUSIONS
. . . . . . . . . . . . . . . . . . . . 241
Sedimentary control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
242
Tectonic control
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244
Eustatic control
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
245
Climatic control. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
248
Cycles and time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
250
REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
253
INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
271
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Those who accept rhythm in nature will find it even where it is rather indistinct, and they will arrive
at proper conclusions. Those who do not want to, will not find it even where it is obvious.
(Yu. A. ZFJEMCHUZHNKOV,958.)
Science, to an extent matched by no other human endeavor, places a premium upon the ability
of
the individual to make order out of what appears disordered. Therefore, the scientist more than
anyone else needs to maintain his objectivity about his work, and perhaps even more vigorously,
about himself. (E.
J. ZELLER,964.)
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Chapter
1
INTRODUCTION
Certain topics within geology, like continental drift, geosynclines and granitisation,
from their inception have been, and continue to be, centres of debate and controversy.
Rhythmic or cyclic sedimentation is one of these. In general terms, which will be
refined later, cyclic sedimentation refers to the repetition through a succession, of rock
units which are organised in a particular order. But even now, after more than a century
of discussion, there is still disagreement on the validity and usefulness of the concept.
To some protagonists the subject is so general as to include the whole of sedimentation
and
so
has no special meaningl; to others it provides, from apparent disorder, elegant
generalisations which are satisfying in themselves as well as forming a basis for genetic
interpretation.
The simplest case of repetition involves only two components and a t this lower
end of the scale it is possible to regard tiny interbedded laminae of, say, silt and clay
as examples of cyclic or rhythmic sedimentation. At the other end
of
the scale broad
changes in sediment character can span whole systems or even longer intervals. Some
authorities, for example
VON BUBNOFF
1948)
and
SLOSS
1964),
refer to cycles of the
order of geological systems or more and WELLER1964) has shown how stratigraphic
thought in America in the early part of this century was dominated by theories of
large-scale, world-wide cycles of sedimentation. We wish to exclude consideration of
these larger sequences otherwise virtually every succession would have to be discussed.
At the lowest level we would also exclude thin-bedded laminae as being of trivial, local
significance. Thus we do not consider tidal laminae in this discussion but we do
include annual layers or varves. Within these prescribed limits cyclic sedimentation
ranges from clastic, organic or evaporitic varves often less than
1
mm
thick, through
sequences of intermediate size (say around a metre or more) up to thicknesses
of
tens and hundreds
of
metres.
CYCLES, RHYTHMS AND CYCLOTHEMS
The pattern of sedimentation which has come to be called cyclic or rhythmic involves
a series of lithological elements (say A,
B,
etc.) repeated through a succession. The
elements may be combined together (ABC) and referred to as a rhythm or a cycle,
terms which go back at least to the latter part of the last century (see for example
1 Essentially all deposition is cyclic or rhythmic
Tvamom~,
939, p.502).
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2 INTRODUCTION
PEACH,1888). In the simplest case we may have ABABAB and some authors (for
example FEARNSIDES,950; FIEGE,952) would restrict the term rhythm to this type
of succession. SANDER1936),
on
the other hand, suggested that rhythm be restricted
to those sequences where the rhythmic unit was fairly constant in thickness, whereas
VON BUBNOFF1948) added a genetic connotation
in
that he regarded a rhythm as
being of climatic origin. Varves would conform to most of these requirements in that
they are for the most part simple bipartite structures, fairly uniform in thickness per
unit, of strict periodicity and climatic in origin. But the conditions could be fulfilled in
so few cases that the term rhythm would be of very restricted application.
There does not seem to be any strong case for restricting the term rhythm to
simple successions of the ABAB type. There is always the possibility of lenticular
lithologies coming in to change a rhythm into what would be called a cycle; in any
case it is always convenient in descriptions to have a number of synonyms.
There is little guidance from mathematicians
on
the subject. KENDALL1947)
suggested that the term cycle be used only when the repetition is regular in time and
SCHWARZACHER1964), in advocating this usage, recognised that most successions
could only be claimed to show sedimentary oscillations. His scheme has some
attractive features but the term sedimentary oscillations is very cumbersome and
it would probably be difficult to obtain agreement on its use.
Some authors lay importance
on
the difference between the sequences ABCD-
ABCD and ABCDCBA and would restrict the word cycle to the latter. But, as
ROBERTSON1948) pointed out, one of the most common expressions in English is
the cycle of the seasons which is of the ABCD ABCD type. Perhaps the simplest
solution is to refer to the ABCD ABCD type as asymmetrical cycles and to the
ABCDCBA type as symmetrical.
Cyclothem is different from the other two terms in that it was introduced
specifically to refer to sedimentary rocks. The word cyclothem is therefore proposed
to designate a series of beds deposited during a single sedimentary cycle of the type
that prevailed during the Pennsylvanian period (WANLESSnd WELLER,932, p. 1003).
Even so this original definition is not unambiguous. On one interpretation the term
might be restricted to Carboniferous rocks, or even only to Pennsylvanian;
on
another,
it might be applied more widely to sedimentary cycles of the type that prevailed
during the Pennsylvanian period. In practice, and to the disapproval of WELLER
(1961), later workers have tended to apply the term to rocks of different age and to
rocks of very different lithologies from the Pennsylvanian cyclothems of Illinois
(e.g., P. ALLEN, 959; HALLAM,961; J.
R.
L. ALLEN, 964a). There now seems no
more reason to restrict the term to Carboniferous rocks than there is to regard cyclic
sedimentation as uniquely confined to that system.
In our opinion the three terms, rhythm, cycle and cyclothem should be regarded
as synonymous except that the latter always refers to sedimentary deposits. Cycle
or rhythm, though referring
on
most occasions to the deposits, might also denote the
period of time during which certain sediments formed. The use of the terms will be
clear from their context. BEERBOWER1964) has objected to suggestions of this sort
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NOMENCLATURE
OF
CYCLES
3
on the ground that the original definition of cyclothem implies asymmetry. But many
workers have used the term to cover both types and the well known Kansan cyclo-
thems, for example, include both symmetrical and asymmetrical cycles
(R.
C. MOORE,
1936; MERRIAM, 963; R.
C.
MOORE nd MERRIAM,965).
We see no prospect of general agreement on, nor any particular advantage in,
the usage of these terms according to arbitrary, restrictive definitions. On the contrary
it should be possible to retain the words as general terms and qualify them as necessary.
If the repetition can be shown to be regular in time then it should be sufficient to apply
a description such as periodic cycle; if the sequence is of the ABAB type then it
could be referred to as a simple cycle or rhythm; and as indicated above, cycles may
be symmetrical or asymmetrical according to the arrangement of elements within the
rhythmic sequence. In this way the terminology can be unambiguous and yet retain a
flexibility denied it by too rigid definitions.
It
may not be unreasonable to refer to thin cycles as microcycles, to those of
intermediate size simply as cyclothems or cycles and to thicker sequences as mega-
cyclothems or megacycles. But to attempt to link these sizes to specific causes (for
example microcycles as climatic or
epeirogenic and cyclothems as epeirogenic) as
FEGE 1952) has done is dangerous in the extreme. It should also be recognised that
in America megacyclothem tends to have the connotation attached to it by R. C.
MOORE1936; but see YOUNG, 955, 1957), that is to describe a cycle of cycles
(see pp.88-94).
Sequences larger than the megacyclothems of R.
C.
MOORE1936) have been
called
hypercyclothems
and
magnacycles.
WELLER1961) introduced the term hyper-
cyclothem to cover a cycle of megacyclothems while MERRIAM1963, following a
suggestion of R. C. Moore), coined the term magnacycle to refer to rock units which
represent major events in earth history. An example of a magnacycle given by Merriam
is the Pennsylvanian-Permian sequence in Kansas. A hierarchy of cycles was also
given by JABLOKOVt al. (1961). First order cycles were grouped into second order or
mesocycles, the mesocycles combined into third order or macrocycles and the macro-
cycles joined in fourth order or megacycles. The recognition of these larger order
cycles appears to be
so
arbitrary that their practical value at this stage seems doubtful.
Nomenclature is confusing, as can be seen from the two systems cited above. In addi-
tionSAKAMo~o1957) used lst, 2nd and 3rd order cycles in reverse order to Jablokov
et al., i.e., Sakamoto regarded the later Palaeozoic system as constituting a 1st
order cycle, divisions of the Middle Carboniferous as 2nd order cycles while 3rd
order cycles are individual cyclothems.
NOMENCLATURE
OF
CYCLES
Historically, interest in successions showing continual and repeated changes of lithol-
ogy (they were not at h s t called cyclic successions) seems to have been first aroused
by coal-bearing sequences. Once it became accepted that coal represented the remains
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4 INTRODUCTION
of plants and that the beds between the seams sometimes contained marine shells,
speculation began as to the meaning of such combinations. Theories on the genesis of
repetitive sedimentation in coal-bearing strata are dealt with in Chapters 4 and 5 .
At this stage it is instructive to trace the way in which generalisations have been made
regarding cyclic sequences.
In
the earliest descriptions (for example DE LA BECHE, 1834; MACLAREN,
1839; MILNE, 839) it was considered sufficient o recognise an alternation ofcoal seams
with marine strata. Some workers went a little further. DAWSON1854) for instance
emphasised the combination of lithologies, underclay-coal-bituminous limestone
while PHILLIPS1836) introduced a wholly admirable system which, had it been adopt-
ed, might have clarified thought on the whole topic and led to a much more rapid
advance than has in fact occurred. He recognised that the Lower Carboniferous
rocks in the north of England (which he called the Yoredale Series) were made up of
repetitions of limestone, gritstone and shale and suggested that a particular combi-
nation of lithologies (say ABC or CAB) should be called a term. A number of such
terms should constitute a series. Where a succession consisted of only two terms
then it could be described as a dimeric series; the general case would be the poly-
meric series comprising many terms.
If
the successive terms are the same (ABC,
ABC, ABC,
.
) then the series would be homo-polymeric but if the terms are
dissimilar (ACB, ABC, BAC, . . ) then the series would be described as hetero-
polymeric.
It
is rather ironic that most British authors have quoted Phillips as being
the first to recognise the Yoredales as being built up of a series of similar Yoredale
cycles, when he in fact regarded the Yoredales as forming a hetero-polymeric series.
Phillips suggestions were not taken up and for more than a century generalisa-
tion regarding rhythmic successions has been based on subjective assessment. Many
authors, sometimes because they were dealing with a restricted succession or because
they were dealing generally and superficially with thick successions over relatively large
areas, have been content to note a simple repetitive unit. HIND (1902) for example
described the Yoredale succession as repetitions of the unit, limestone-shale-sand-
stone. HUDSON1924) incorporated the same lithologies (shale-sandstondimestone)
but suggested a different starting point, because each limestone was thought to have an
eroded top surface (surfaces since shown to consist of algal nodules of original
shape, not eroded). In America, UDDEN1912), dealing with a small sequence in the
Pennsylvanian rocks of the Peoria Quadrangle, Illinois, had pointed out a similar
rhythmic unit. Each cycle he wrote (UDDEN, 912, p.470) may be said to present
four successive stages, namely:
I ) accumulation of vegetation;
(2)
deposition of
calcareous material;
(3)
sand importation; and 4) aggradation to sea level and soil
making.
Since all successions tend to vary both laterally and vertically such simple
generalisation must be qualified to some extent when the area and the thickness of
succession under consideration are extended. Thus we have
PEACH1888, p.17) Writing
on the Lower Carboniferous of Scotland about the repeated cycles of varying litho-
logies: When the succession is complete the following is the arrangement of strata in
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NOMENCLATUREOFCYCLES
5
ascending order: (I) limestone charged with ordinary marine fossils;
(2)
shales, yield-
ing stunted marine forms;
(3)
sandstone; 4) fireclay with the roots of plants which is
overlain by a coal seam. In some cases one
or
more of these members may be absent,
but the others preserve the same relative order. This method, involving the subjective
selection of lithologies in
a
rhythmic unit and then noting possible variations, remain-
ed the standard procedure in studies of cyclic sedimentation for seven or eight decades
following Peachs writing. Consider, for example, TRUEMANS1954) description of the
Coal Measures succession in Britain:
For many years it has been apparent to those who have examined coal-bearing
sediments that there is a characteristic pattern in the sequence of rock types, varied in
detail but consistent in essentials in rocks of all ages and of all countries. This repe-
tition of a common motifthroughout the coal-bearing rocks may be described as of a
cyclical or rhythmic nature. In the Coal Measures of Britain and in northwest Europe
generally the unit (1-5)
of
the rhythmic pattern is conveniently stated as:
5) Coal.
4)
Rootlet bed.
(3) Sandstone.
(2) Non-marine shale
or
mudstone.
I)
Marine band.
While the unit or cycle (cyclothem of American writers) is repeated in this simple form
in some parts of the sequence, there are many minor variations. The thickness of the
different members may vary greatly or some of them may be absent. The coal seam
may be thick or thin, a mere streak in some places or absent in others, even if the root-
let bed
is
well developed. The marine band is generally thin when present, but in the
majority of the units it is absent altogether. When a marine band occurs it is usually at
no great distance above the coal seam although a thin non-marine layer may intervene
and indicate more gradual submergence of the swamp. The sandstone may vary greatly
in thickness as has been said, in different localities in the same unit. Occasionally a
sandstone may immediately succeed
a
coal seam. The unit may also be extended by
minor repetitions of sandy and muddy layers. But with every conceivable modifcation,
the most significant feature in the sequence of rocks making up the productive (i.e.,
coal-bearing) part of the Coal Measures is the regularity of the simple pattern.
TRUEMAN,
954, p.10; our italics.)
The variations are so carefully enumerated that the validity of the rhythmic
sequence becomes extremely doubtful. Nevertheless the description in principle is the
same as that of Peach. The pattern is the same elsewhere. In Germany,
JESSEN
(1961),
having erected an elaborate ideal 14-unit Toll-cyclothem (p.3 12) for European
coal-bearing rocks, qualified his remarks as follows (pp.316-3 17):
Wer alle diese Cyclothem-Gliederund ihre Positionim Ablauf des zyklischen
Sedimentationsvorgangeskennt, wird die naturgemassen Variationen verstehen, die-
gegeniiber dem idealen Voll-Cyc1othem-an Gliedern mehr oder weniger stark
oder sogar extrem an Gliedern verarmt sind. Eine Variationsreihe beruht auf
Verarmungen an
(=
Wegfall von)
progressiv-hemizyklischen
Gliedern (1 + 2, 1-3,
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6 INTRODUCTION
1-4, 1-5, 1-6, 1-7). Aus einem zyklischen Glieder-Aufbau wird dann schliesslich ein
rhythmischer (Glieder 8-14), der aber gleichfalls ein echtes Cyclothem darstellt.
Hieran schliesst sich eine zweite Variationsreihe an, bei der auch das rezessive Hemi-
cyclothem an Gliedern verarmte (Glieder 15,14
+
13, 14 12 ,1 411,1410). Das durch
Kombination beider Verarmungsreihen an Gliedern extrem verarmte Cyclothem
besteht dann allein aus Schieferton.
Es
entstand durch besonders starke Meeres-
Progression, die jegliche Sand-Zufuhr in die Saumsenke verhinderte.
Dem entgegengesetzt fuhrt eine Variationsreihe immer starkeren Ausfalls der
feinkornigeren Glieder
6 8 ,
5-9, 4-10, 3-1 1) zum Extremfall allein aus Sandstein
bestehender Cyclotheme. Diese entstanden in Fallen, in denen sich die Meeres-
Progressionen iiberhaupt nicht oder nur eben andeutungsweise auswirken konnten.
And in Belgium VAN LECKWIJCK1964, p.42), having described a five-fold
complete cycle in the Namurian, had to add the comment Les cinq phases ne sont
pas prksentes dans tous les cycles.
.
.
In America the study ot cyclic sedimentation was greatly stimulated during the
1930s by the work of WELLER1930, 1931) and interest has continued undiminished.
But nomenclatorial confusion has grown almost as rapidly as the accumulation
of
stratigraphic data. In 1930, Weller described the typical cyclothem in Illinois in
terms of nine successive lithological units. This succession was modified a year later
and yet again in 1932 when the term cyclothem was introduced to refer specifically
to the sediments (see above). Then WANLESSnd SHEPARD1936) described the typical
cyclothem of Weller in a number of ways (normal, complete, standard, common)
yet referred to a slightly different set of lithologies. Later WELLER1956) distinguished
between an idealised standard succession and real cyclothems, real, presumably in
the sense of naturally occurring units. I t seems likely that Wellers idealised standard
cyclothem compares in its connotation with the complete cycle of PEACH 1888).
There are therefore two categories of cycle which can be picked out, those referred to
as typical, normal, etc., which might be expectedto beofcommonoccurrence and
those, like the idealised standard which may be rarely developed but which express
some characteristic order of the lithological units. Just as various terms have been used
to describe the same succession and the same term has been used to describe different
sequences in America, a similar confusion has arisen in British literature. The situation
is summarised in Table I. It will be noticed that not only is there a profusion of terms
but, what is more serious, there is also anumber, like complete, normal, typical
which appear on both sides of the table and which have been used to describe the two
categories of cycles distinguished above.
There are two reasons why this confusion has arisen. The first
is
the subjective
methods of assessing cyclic sedimentation and improved methods will be examined
below. The second is the failure to isolate certain elements in the subject.
We
would
separate these elements in this way.
In any groups of rocks displaying cyclic sedimentation, it should be possible to
identify that particular grouping of lithologies which occurs most frequently through
the succession. This ordered sequence might naturally be correlated with what many
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NOMENCLATURE OF CYCLES
7
TABLE I
AMBIGUITY OF
CYCLOTHEM NOMENCLATURE
(After DUFF nd
WALTON, 962)
Cycles which reader might expect to occur
frequently
~
~~ ~
Theoretical or partly idealised cycles not
necessarily of frequent occurrence, if
present at all
Typical (WELLER,930)l
Typical (WELLER,931)l
Normal (WANLESSnd SHEPARD, 936)2
Complete (WANLESSnd SHEPARD, 936)2
Standard (WANLESSnd SHEPARD,936)2
Typical
(WANLESS
nd
SHEPARD, 1936)
Usual (WANLESSnd SHEPARD, 936)
Common (WANLESS nd SHEPARD,1936)
Typical (ROBERTSON,948)
Fully developed (EDWARDS nd STUBBLEFIELD,947)3
Normally developed
(EDWARDS,1951)3
Standard (DUNHAM,
950)4
Commonly developed rhythmic unit (DUNHAM,953)
Normal (R. A.
EDEN
et al.,
1957)
Characteristic (GOODLET, 959)
Full rhythmic sequence (ROBERTSON,948)
Normal (ROBERTSON,948)
Idealised standard WELLER,956)
Theoretical (WELLER,957)
Full (R.
A.
EDENet al., 1957)
Complete (GOODLET,959)
Theoretically expectable composite
succession (WELLS,1960)5
Typical (BEERBOWER,961)6
1
The unit of the two typical cyclothems actually differ though they purport to describe the same
succession.
Used by Wanless and Shepard to describeWELLERS1930) cyclothem although not used byWeller.
Used to describe same cycle.
Dunham cited standard cyclothem or rhythmic unit ofWANLESSnd WELLER (1932)although this
qualifying term was not used by those two authors.
5 Used to describe WELLERS1930) cyclothem.
6
Referring to the theoretical of
WELLER1957).
workers have designated the typical, normal or characteristic cycle (Table
I).
In order to emphasise that this cycle has been picked out because of its frequent
occurrence
DUFF
and WALTON1962) proposed that it should be called the modal
cycle.
There are, however, also terms (Table I) which have a somewhat different mean-
ing, for example Wellers idealised standard, composite and fully developed
cycles. These carry no implication of frequent development. Authors using such terms
generally make it clear that seldom, if ever, do the units described as making up one of
these cycles occur together in an actual cycle. Nevertheless certain lithologies, although
of infrequent occurrence, may have a preferred position with regard to the other beds
of the modal cycle.
For
example a succession dominated by the rhythm
ABCD
may
occasionally include an additional lithology,
X,
which, when present, lies between C
and D. This is probably meaningful though there is no question that the sequence
ABCXD
is a common rhythmic unit.
ABCXD
is constructed from statistical data;
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8
INTRODUCTION
it combines all the lithologies in a succession in the order in which they tend to occur
and has been referred to as the composite sequence (DUFFand WALTON, 962).
Both the modal cycle and the composite sequence are based on actual
rock successions. But another concept runs through writings
on
rhythmic sedimenta-
tion. This is implicit in the terms theoretical, idealised and even, one supposes,
in the theoretical expectable composite succession (WELLS, 960). There is suggested
in these terms a theoretical cycle to which the observed sequences can be referred and
through which the observed sedimentary successions can be understood. This ideal
or model cycle is one which can be constructed from theoretical considerations and
from accumulated data from modern environments and experimental evidence. It
arises only in consideration of the observed groups of the modal cycle and the compo-
site sequence. BEERBOWER1964) has rightly pointed out that if any basin model is
to be even approximately realistic it will generate a variety of cycles from which the
most common can be picked out. This most common sequence he has called the
ideal modal cyclothem.
In
our opinion the more correct title would be modal
ideal-cyclothem but we deprecate the use of modal in this context because it was
introduced specifically to refer to the results from statistical examination of actual
successions.
METHODOMGY
In a provocative paper ZELLER1964) has pointed out that science, to an extent match-
ed by
no
other human endeavour, places a premium upon the ability of the individual
to make order out of what appears disordered1. While this statement in its entirety
may be debatable it is sufficiently valid to suggest that each subjective assessment
on
the presence or absence of cyclic sedimentation is suspect and, as a corollary, that
every effort should be made to systematise descriptions of rhythmic successionson an
objective and, where possible, quantitative basis.
So
far attempts at the latter have
developed along two main lines: (a) statistical analysis to pick out the modal cycles,
composite sequences, etc., and
b)
refined mathematical techniques to test for
periodicity in the data or to provide mathematical models for the geological data.
Techniques of the second type are virtually restricted to simple successions such as
varved clays though, as shown below, some attempt can be made to reduce more
complicated sequences to
a
single variable.
The picking out of the modal cycle represents an attempt to formalise the defini-
tion of the rhythmic unit in a system with several components. Cycle is defined as that
group of rock units which tend to occur in a certain order and which contains one
unit which is repeated frequently through the succession (DUFF and WALTON,
1 Zeller showed in the same paper that geology students were able to see correlations between actual
successions in which each lithology was denoted by a number and sequences
of
numbers taken from
the Kansas Telephone Directory
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METHODOLOGY
9
C y c l e T y p e s
Fig.1. Histogram showing frequency distribution ofcycle types from artificial succession given in text.
1962, p.239). The unit referred to in the latter half of the definition would normally be
one to which a certain genetic significance could be attached, such as the coal seam or
underclay of the Coal Measures. I t is also obviously necessary to choose a unit which
is relatively common in the succession. The procedure can be seen by reference to the
succession indicated by the following letters: A, B, C and D which represent different
lithologies:
C, BC, ABC, ABC, BAC, DABC, ABC, DABC, BC, ABC, BABC,
BABAC, ABC, BC, ABAC, ABDC, BABABC, DABC, BC, ABC, ABAC,
ABC, ABABAC, ABC, ABC, ABC, BAC, DABC, BC, ABC,
. .
.
Taking lithology C as the marker horizon because of its geological significance
breaks up the sequence (as marked), into a number of units or cycles of which the
sequence ABC is the most common (Fig.1). It is therefore the modal cycle. In order to
determine the composite sequence the position of additional lithologies, such as D,
is examined with respect to the beds of the modal cycle. In this example it is clear that
although D does not occur very often, when it does it tends to lie above C and below
A. The composite sequence is therefore DABC.
DUFF
nd WALTON1962) analysed over 1,200 cycles from the Coal Measures
of the East Pennine Coalfield, England and found the distribution of cycle types
(Fig.2). The critical lithology for marking the cycles was chosen as the coal seam or,
when this was not present, the seat earth. The seat earths were classified according to
their grain-size so that where a mudstone seat earth lay on shale the two were classified
together as A. The other lithologies considered were B, siltstone, C, sandstone and M,
mixtures of sandstone with siltstone or
shale. The modal cycles then appear as A (an
alternation of shale with seat earth and sometimes coal), ABA and AMA. The
dominant cycle is one made up of fine, then coarse, then fine sediment. Another way
of approaching the problem is to pick out the dominant cycle in terms of the number
of lithologies present (Fig.3). This turned out to be three and when those cycles with
three units are analysed the same pattern, fine-coarse-he sediment, is found as before
(Fig.3). The Coal Measures succession also contains marine shales as an important,
but numerically insignificant, lithology. When the position of these bands and the coal
is included in the sequence the composite sequence becomes:
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METHODOLOGY
11
No.
of
uni ts
in
cycle
A
3
2
1
loo 200 300
B
Fig.3. A. Numbers of lithological units in non-marine cycles. B. Relative position of rock types in
three-unit non-marine cycles. Ornament: lines-A (shale), fine dots-B (siltstone), coarse dots-C
(sandstone), lines and dots44 (mixture).
Coal.
Seat earth.
Shale, non-marine.
Siltstone and/or sandstone.
Shale, non-marine.
Shale, marine.
Having obtained the two sequences an ideal cycle can then be constructed from,
for example, what is known of successions in deltaic regions of the present day. The
comparison of the ideal and the modal can then be carried out and it is obviously
desirable to be able to test the goodness of fit of the one with the other. A method
proposed by PEARN
1964)
may be applicable in this situation. His account does not
distinguish between modal and ideal and in fact the term ideal is used in both
senses. Transposed into the terms we have used the type of question which is posed is:
does the ideal cycle proposed by
R.
C. MOORE
1936)
for the Kansan rocks of Penn-
sylvanian age best describe the rhythmic sedimentation found in that succession? How
near does the ideal cycle coincide with the modal cycle and how far does the observed
sequence differ from a random distribution of the strata?
For the purpose
of
answering these and related questions WARN
1964)
intro-
duced the Discordance Index
G,
a parameter calculated in the following way:
Fig.2. Histogram showing frequency distribution of cycle types in the Coal Measures, East Pennine
Coalfield, England. (After
DUFF
nd
WALTON, 962.)
A. Cycles with no marine fossils, divided into
i ) those cycles containing no sandstone and ( i i ) those cycles with sandstone. B. Cycles containing
marine fossils, divided into
( i )
and ii) as in
A.
Lithological units of main cycle types shown in upward
sequence: A
=
shale or mudstone; B
=
siltstone; C
=
sandstone; M
=
mixture of siltstoneor shale
and sandstone.
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12
INTRODUCTION
Given a sequence such as: 24324532, and a proposed ideal sequence: 123454321-
23454321, the figures in italics are the lithologies common to both sequences and the
units missing between the start and finish of the actual sequence total seven. This is one
possible answer for G. But, as in the case of R. C. MOORES1936) ideal cyclothem
(see p.88) which is symmetrical, the observed sequence may begin in a regressive hemi-
cycle (54321) rather than the transgressive one (12345) as taken above. The comparable
ideal sequence would then be:
543212345432123454321
and the missing units in this case would total nine.
G
is taken as the smaller number so
in this example it would be seven.
The next step was to assess the probability of any value of G arising from a
random distribution of lithologies in a sequence. The possible combinations of the
five lithologies depend on how many units are present in the postulated cycles.
As
the
cycles become larger then the amount of calculation involved becomes more and more
unmanagable. A limitation is therefore imposed on this method which restricts the
significance of any results obtained. PEARN1964) chose to use sequences of seven
units. All possible arrangements of five lithologies (such as 1234543, 2134543, etc.)
in these seven units were considered (so long as no lithology was repeated consecutive-
ly). The values of
G
associated with each of these arrangements then gave the probabil-
ity of any value arising by chance. Using chi-squared tests Pearn
was
able to show that
observed values of
G
differed significantly from randomness.
In
order to determine the goodness of fit of the proposed ideal cycle of Moore
the values of discordance were calculated for a number of other possible arrangements.
It was found that the Moore hemicycle (12345) was the best fit for the Kansan rock
column (a somewhat artificial sequence summarising the succession in that state and
erected by R. C. MOOREt al., 1951) but that when a sample of actual sequences from
different parts of the state was considered 78 different hemicycles gave discordance
values lower than the Moore hemicycle. Although Pearn referred to these possible
hemicycles as ideal the procedure corresponds to the search for a type of modal
cycle; the cycle which best summarises the observed sequence. Moores ideal cycle
based on
a
transgressive-regressive model of sedimentation apparently falls
a
long
way short of coincidence with a best-fit cycle; it would seem desirable therefore to
consider other models in order to see whether they would generate an ideal cycle
closer to that observed.
A
possible alternative approach to the problem of finding the most suitable
model or ideal cycle arises from recent work on cross-association(SACKINt al., 1965;
MERRIAM nd SNEATH,n press). The method involves comparison of sequences and
noting whether elements (lithologies) at similar levels within the sequences are the
same or not.
A
measure of the agreement of one sequence with the other is thus ob-
tained. Development of the method is in a preliminary stage but its application to
sequences where only qualitative data are available should yield interesting results.
Another possible treatment of complicated successions where a number of lithol-
ogies are present is to transform the data into a quantitative
form.
This has been done,
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METHODOLOGY 13
for example, by VISTELIUS1961) who allocated numerical values to the different
lithologies (shale, sandstone, conglomerate, etc.) in proportion to their grain-size.
In this form the data are amenable to the methods of analysis to be described in the
next section.
Time series and harmonic analysis
In simple systems where one or two lithologies are involved, one variable measured
through the succession, such as the thickness of each varve or the CaCO3 content of
the sediments, gives directly a series referred to as a time series. This is a general term
referring to the variation of one parameter through time and it will be realised at the
outset that stratigraphical measurements refer to time at second hand as it were. The
measurements are correlatable with variation through time only
so
far as the record is
complete and the rate of sedimentation was relatively constant during the formation
of the succession.
Following JSENDALL (1947) we can first of all separate out the long-termvariation
as
a
trend. This is convenient because we said at the outset that long-range variations
would not be considered. Shorter-term oscillations may then be discerned in the time
series which if strictly periodic according to Kendall could be termed cyclical. In
addition, in natural sequences there is also an element causing random fluctuations.
Given
a
time series which apparently shows oscillations the first problem is to
show that these fluctuations are not random. This can be done by the up and down
test (KENDALL, 1947; NEDERLOF,959) in which the number of turning points in
the series is compared with the number which is likely to have arisen by chance.
The number of runs ( R ) between turning points is compared with the number of
observations (n) in the statistic K which is defined as:
3R-2n
+- 2.5
2/ (16n-29)/ 10}
= -
The probability of a particular value for K arising by chance in a random series can be
found from appropriate tables.
If the value of Kindicates a non-random distribution the nature
of
the variations
can then be investigated further. In a series where the value of the variable,x , is oscil-
latingaround a mean value, in so far as there is some regularity in the oscillation,
successive values of x are not independent of one another. That is to say the value of
x at different points
in
the series will show some correlation one with another. It is
possible therefore to investigate the structure of the series by considering the correla-
tion between successive values of
x .
The correlation coefficient can be calculated as in
the case of two variables
x
and
y ,
the procedure simply consisting
of
regarding values
of x at successive points as values of a second variable,
y .
A number of correlation
coefficients can be calculated according to whether x p (the value of x at position
p
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14
-0.8-
INTRODUCTION
0.81
-1.0 1
0 2
4
6 a
0
Fig.4. A. Correlograms of Dartry Limestone thickness indexes (solid line) and fitted theoretical
correlogramsof a Yule-Kendall process (dotted line) and a harmonic process (fine dots). For Dartry
Limestone the horizontal scaIe
is
in metres and the points calculated at intervals
of 20 cm.
After
SCHWARZACHER,
964.)
B.
Correlopam
of
Benbulbin Shale (solid line) with fitted Yule-Kendall
process (dotted line). Scale as in A. (After
SCHWARZACHER,964.)
in the series) is compared with x p + l ,or x p + 2 , or
x p + k .
The regression
of x p
and
x p + l
where the correlationcoefficient s found between
~ 1 x 2 ; 2 X 3 ;
. .
X n - l ; X n
is referred
to as the serial coefficientof the first order. The second order coefficient would relate
x p and x p + 2 .
In
the general case the coefficient
of
the order k is given by:
and the plot of rk against k is the correlogram (Fig.4). When the correlogram has been
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METHODOLOGY 15
determined for a given geological succession it can then be compared with suitable
mathematical models. SCHWARZACHER1964) in
his
study of a Carboniferous lime-
stone succession, considered four different cases:
Case I is a stochastic process of moving averages where x at any point
is
deter-
mined by the sum of a number of factors, u, some of which are common to successive
values of
x .
The correlogram in this case appears as a straight line between l(r0)
and zero
( r k ) .
The case is described in the expression:
where
cP
is a random variable.
Case 2 is that of the autoregressive series, which
is
defined by:
The first order of this series is given by:
x p
= - U X p - 1
+
E p
while the second order is:
x p
=
-axp-1-bxp-2
+
e p
The autoregressive series is comparable to a pendulum being struck at random by a
stream of peas. Each one of the random impulses affects the oscillation and is integrat-
ed into the system. For the second order (the Yule-Kendall process) the correlogram
has the form of a harmonic beginning as r,, equal to 1 and damping down towards zero.
Case 3 is a special case of a harmonic process such as a pure sine wave. The
correlogram of a sine wave is a cosine wave.
Case
4 adds a stochastic, random variable to a harmonic process of type 3.
The result can be expressed in the form:
27z
x
=
Asin-p + e p
V
The correlogram, after decreasing from 1 (To) takes the form of a cosine wave whose
constant amplitude is determined by the variance of the random variable E.
The application of these techniques can be seen in SCHWARZACHERS1964)
study of a Carboniferous section in Ireland. The numerical data consists of percentage
limestone or average thickness of limestone bands in
20
cm intervals. It was found
useful to have these two measurements because in different sections one or the other
was the more accurate or the more meaningful. Plotting the variables brought out a
short-term oscillation and a long-term trend. The latter was estimated and subtracted
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16 INTRODUCTION
from the data to isolate the oscillation. Correlograms were then computed for the
oscillations seen in different parts of the succession-the Benbulbin Shale, and the
Dartry and Glencar Limestones. With respect to the correlogram of the Dartry Lime-
stone, it is apparent (Fig.4) that the Yule-Kendall autoregressive model gives a curve
which is excessively damped but that a harmonic process with a superimposed dis-
turbance gives a reasonable fit.
A
similar model could be applied to the correlogram
of the Glencar Limestone but the Benbulbin Shale gives a curve which, though
somewhat damped, corresponds to an autoregressive model. The geological signifi-
cance of these results is discussed in Chapter 6.
The structure of a cyclic sequence might best be analysed in terms of a periodic
function-that function given in terms of the Fourier Series which can be expressed
as (PRESTON nd HENDERSON,964; PRESTONnd HARBAUGH,965):
n = m
+ bn sin
nnz 1
nnz
L
Un COS
- 1
where: L = half of the basic or fundamental period: in practice this is usually not
known and can be taken as half the length over which the variable is sampled; z =
independent variable of length through the succession;a,, = constant; an = the maxi-
mum value (or amplitude) of the cosine term at the nth harmonic; bn = the maxi-
mum value (or amplitude) of the sine term at the nth harmonic.
The meaning of the parameters is illustrated from an artificial varve series in
Fig.5 and the summation of sine and cosine terms up to n-5 is given in an example
(Fig.6). Clearly as terms are added (with increase of n) the resultant curve becomes
more and more complex. The procedure is that of finding a best-fit curve for the
time series. The Fourier expression is perhaps the most powerful although any poly-
nomial could be fitted (for example Fox, 1964).
year
A
y e a r
X
I
I
1..
thickness Y
0 C
Fig.5. Illustration of parameters used in harmonic analysis of time series
C
from
an
artificial v a ne
succession
A and varve diagram B. Value ofy indicated at arbitrary position of z.
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METHODOLOGY
17
n - 1 oc
n-2
a b -
C
d
Figd. Synthetic single Fourier Series illustrating wave forms of individual terms and wave forms of
series generated by summation of individual
terms:
a
=
cosine,
b =
sine,
c
=
sine + cosine,
d =
cumulative sine
+
cosine; for appropriate values of n, he harmonic number, from
n
= 1 to n
= 5.
(Adapted from PRESTONnd
HARBAUGH,
965.)
For time series of any length the coefficientsa,.
. .
n and
bn
can be calculated
(see for example PRESTONnd
HARBAUGH,
965, or for more extended treatment,
WYLIE,960).
These coefficients can then be used to derive
a
set of figures, c t , ci, cg
.
from:
This set constitutes the
pow er spectrum
of the series. The value of c; is an indication of
the contribution of the nth harmonic to the series and the plot of
c:
against the
harmonic number
n
gives an indication of the relative strengths of the different
periodicities.
Various refinements of analysis and presentation are available but for our pre-
sent purposes it is sufficient to note that the power or amplitude in one form or an-
other is plotted as ordinate against frequency or its reciprocal (time, if available
as
in
vane series, or thickness, as in most successions). The more important periodicities
can be easily read from the peaks which appear in these spectrum or amplitude dia-
grams.
This type of analysis has so far been applied to varve successions in an attempt
to pick out any strong periodicities. In practice pronounced peaks are noticeably
absent although there is often
a
general rise in amplitude pointing to
a
possible
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18 INTRODUCTION
periodicity between 50 and 100 years in length (Fig.27, p.61). The average of glacial
varve analyses (Fig.27, p.61) shows a rise in power at about
5
years while the Lake
Superior varves show an increase involving frequencies between 6 and
14
years
(Fig.7).
Scale; phase
and
facies
Two further aspects remain to be mentioned at this stage. The first concerns the scale
on which investigations are carried out. KRUMBEIN1964) has set up a hierarchical
scale involvinga number of levels of investigation from the detailed study of a member
of
a cyclothem up to a group of cycles. He also analysed formally the relationship
between the observed and inferred elements. Implicit in his analysis was the relationship
between the level of investigation and the inferences which can be drawn from the
study and we would like to emphasise this rather obvious but sometimes overlooked
point. Studies of tiny areas over trivial thicknesses of succession have often led to
conclusions regarding mechanisms of formation involving world-wide and even cos-
micevents. Our position is not to assert that these far-flung speculations are completely
unwarranted but to reiterate that there should be some approximate correlation be-
tween the scale of inference and the scale of observation.
Secondly we might follow LAPORTEnd IMBRIE1964) in recognising that cyclic
sedimentation can be studied both in
phase
and
facies.
Cyclic sedimentation refers to
the development of lithologies in a pattern through a succession. It is appropriate
therefore that successions at individual localities should be tested for cyclicity. This is
to be primarily concerned with phase in sedimentation at different points in time at
individual localities. But a system of sedimentation is one which has extent in space as
well as time and cyclic sedimentation can therefore be regarded as the superimposition
of lithologies due to the lateral migration of facies belts. In order to be complete there-
fore any analysis of sedimentation should take account of both phase and facies-the
one implementing and illuminating he other (LAPORTEnd IMBRIE,964). The essential
combination of cycle-facies studies has also been stressed by ZHEMCHUZHNIKOV
(1958; see Chapter 5).
The erection of a modal cyclothem or a composite sequence is essentially a
phase study. In a large basin of sedimentation separate modal cycles might be picked
out for different sub-areas and the distribution of modal cycles would then reflect
facies variation over the basin. KRUMBEINS1964) analysis involved a similar approach.
Other studies have laid emphasis on facies variation. WANLFSS t al. (1963) traced
individual members of three Pennsylvanian cyclothems over a very large area in the
mid-west of the U.S.A. (see Chapter 4). Interpretation of the environment of accumu-
lation of the different lithologies led to the construction of successive palaeogeograph-
ic maps. The changes in palaeogeography show very strikingly the gradual build-up
of the cyclic succession and the influence of localised tectonic elements. The aim of
most investigations like this is to build up a model of the basin and its sedimentary
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METHODOLOGY
19
N =
106
? I
1
1
1 I I 1 I
px
M
ZQ 10 8
6 5
4
1 YEARS)
3
I
I
I
1
1 1
1
I
3.S
3
2.75 2s
2 2 5
e
TIYE4RSl
Fig.7. Amplitude
spectrum
of Pleistocene Lake Superior van es (N= 105). Large peak noticeable at
low frequency
(50-100 years) and broad rise between 6 and 14years: f ( C P Y ) = frequency, cycles
per
year. (After R .
Y. NDERSON
nd KOOPMANS,963.)
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20
INTRODUCTION
fill. Certain individual lithologies can be studied separately towards the same end.
POTTER 1962) for example, used data from sandstones in the Illinois area to recon-
struct the physiography and filling of the Pennsylvanian basin of that region.
Facies investigation is obviously facilitated by rigorous time control. The marine
Lias of western Europe is an especially suitable field for the study of widespread facies
changes (HALLAM,961,1964b; see Chapter 6) because palaeontological zoning allows
the recognition of synchronous surfaces of erosion or distinctive lithological horizons
which mark the boundaries of so-called major cycles. Such research has also revealed
the masking of cyclic episodes in areas where lithologies are not suitable. The im-
portance of this approach, involving as it does inter- as well as intra-continental
correlation, is that it provides one of the few known criteria for distinguishing eustatic
changes of sea-level from local epeirogenic or sedimentary controls of cyclic sedimen-
tation.
CLASSIFICATION
AND
DESCRIPTION
We have adopted a scheme of classification which is based on rather broad environ-
ments of sedimentation. Within the major categories separated by environment, the
various types of cycle are treated either on a more detailed environmental basis or in
terms of the lithologies present in the succession. While this scheme has the advantage
of providing a ready link between description and genetic interpretations it has the
chronic drawback, common to most systems, of generating
a
number of border-line
cases, and what is perhaps more important, it divides seemingly coherent groups, such
as varves, into different categories. We use the scheme because it seems to have the
fewest disadvantages. The major divisions are:
fluvial
lacustrine
ontinental
Transitional
epicontinental
geosynclinal
arine
An attempt has been made to introduce some uniformity into the nomenclature
but in many instances
it has been necessary to be guided by what authors have found
fit to call cycles. In view of our introductory remarks in this chapter the reader will
realise that most so-called cycles, typical, complete or otherwise, should not be accept-
ed uncritically.
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Chapter 2
CYCLES IN FLUVIAL REGIMES
Deposits in fluvial regimes accumulate under different conditions which can be regard-
ed as variations between two extremes. On the one hand, sedimentation in piedmont
areas takes place in a number of overlapping alluvial fans. The fans are formed by
mudflows, by deposition from sheet floods and heavily overloaded streams. Channels
are continually choked with debris and the drainage deflected first one way and then
another over the fan. At the other extreme there is sedimentation n the flood plains of
large rivers which have well established channels. Deposition is not over-rapid and the
main changes are due to meandering of the channel which carries different sediment-
types across the plain. Under these conditions there tends to be a strong differentiation
in the nature of the sediment from the coarse-grained material largely confined to
within and near the channels to the much finer-grained sediment of the flood-basin
outside. Between the two end members, the meandering river and the alluvial fan,
braided rivers form an intermediate type in which there is rather less differentiation of
facies than in the case of streams with near-permanent channels. The overloaded river
forming the braided stream tends to break into many threads which cover much of the
flood plain and
so
distribute coarse material more uniformly over the area.
In so far as fluviatile deposits tend to be almost entirely clastic, and variability
rather than patterned organisation is predominant, the recognition of cyclic sedimen-
tation has been somewhat delayed. Nevertheless of recent years cycles in fluviatile
deposits have been delineated from a number of successions. Their characteristics and
associated problems have been described and discussed by J.
R. L.
ALLEN1964a,
1965a,b)
who
also gave comprehensive bibliographies (see also
HARMS
nd
FAHNE-
STOCK, 1965).
CYCLES IN
T H E
OLD RED SANDSTONE
OF
BRITAIN
Considering first Old Red Sandstone sediments, J. R. L. ALLEN(1964a) described a
number of examples from England and Wales which he referred to as cyclothems.
Each of these (Fig.8-13) shows the presence of three features which
J. R.
L. Allen
regarded as essential in the development of this type of cyclothem. In ascending order
these are: I ) at the base a sharp and scoured surface surmounted by(2) a conglomeratic
sandstone often with large clasts of the immediately underlying sediments and cul-
minating in
(3)
a fine-grained bed of siltstone with clays and interbedded fine sandstone.
Only two of the cycles (Fig.8, 9) are relatively simple although even these show some
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22
CYCLES
IN
F L W I A L REGIMES
MAIN FACTS
...
Scoured surface
Red. coarse siltstone devoid of bedding
Sparse calcium carbonate concretions.
Invertebrate burrows in lower part.
Suncracks absent.
Variable thicknesr of red. ripple -drift
/
bedded, very fi ne sandstone. Grades up
into silts tane . Invertebrate burrows.
White to purple, fine
t o
medium, well
sorted sandstones. Siltstone clasts concen.
troted at base and scattered throughout.
Trough cross-strotlfied, units
10-90
cm
thick. Contorted cross-stra ta near base
and middle.
/
Cut on siltstone. Maximum re lief 15 cn
Few directionol scour structures.
GENERAL LEGEND
Ripple-bedded fine to
medium sandstone
Ripple-bedded very
fine sandstone
introfarmational conglomerate
Flat-bedded fine to
medium sandstone
Flat-bedded very
fine sandstone
Cross-stratified coane to
very coarse sandstone
Cross-stratified fine to
medium sandstme
Trough crass-stratifled fine
n assive medium s&
to medium sandstone
....
.
INTERPRETATION
Vertical accretlon deposit from overbank
floods. Probably deposlted in backswamp
area, perhaps
a nmre OT
less permanent
lake.
Vertical accretion deposit from overbonk
floods. Possibly a levee dep osit or a
paint- bar swale filling.
Channel deposit probably formed by
latera l accretion on a point-bar. Sand trans
ported as bed-load over river bed formed
into lunate %dunes Strong, variable currents.
Siltstone closts fwm lag concentrate where
channel was deepest.
Erosion at deepest part of wandering
river channel.
Rippled bedding plme
Siltstone
Carbonate concretions
m
El
R
onvolute lamination
Contorted cross-strata
~~
Invertebrate burrows
ipple-bedded coarse sandstone Massive very fine sandstone
Fig.8. Generalised succession and interpretation
of
Downtonian cyclothem (cycle A) at Ludlow,
Shropshire. (After
J. R.
L. ALLEN, 1964a.)
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CYCLES IN THE OLD RED SANDSTONE OF BRITAIN
23
MAIN FACTS
I
5
4
3
ul
1L
w
I
2
0
Red coarse siltstone dewid of
bedding, grading up from very fine
on erosional surface.
No
proofs of
exposure.
11 sandstone at base. Sandstone lenticle
Medium to fine green sandstme
on
parallel to channel side concc idont on
scoured surface. S cattered siltstone
Medium to very fine green sond-
stonas with siltstone clask. planar
cross-stra tified or fiat-bedded and with
primary current lineation.
INTERPRETATION
Vertical accretion deposit
on
flood-
plain topstratum from overbank floods.
Bockswanp deposit probably formed in
more or less permanent lakes.
Channel-fill deposit. Plug from
longitudiml currents after channel wos
cut.
Channel cut occross sand bar.
Channel deposit probably formed by
loteral accretion
on
point-bar. Strong
variable currents.,, Sand transported in
strai ght- cres ted dunes . Wave action on
beaches exposed
at
low river Stage.
La g deposit farmed i n deepest parts
of
channel.
Erosion
In
deepest parts of
wandering river ctmnnel.
Fig.9. Generalised succession and interpretationof Breconian cyclothem cycle B) at Brown Clee Hill,
Shropshire. For legend see Fig.8. After
J. R. L.
ALLEN,1964a.)
differences The first (Fig.8) has three members: member I begins with a coarse-grain-
ed deposit on top of a scoured surface and passes into a
festoon-beddedsandstonewith
scattered large siltstone clasts; member 2 is a thin band of ripple-drift-bedded sand;
member
3
is
a red, coarse, massive blocky siltstone with carbonate concretions and
some burrows. Suncracks and plant remains arelacking. Similarly in the second example
(Fig.9) there is no evidence of exposure and drying out, while the lower sandstone
member is complicated by the presence
of
a large channel scour.
Of the other examples taken as cyclothems each shows more or less deviation
from the simple cases. Cycle
C
(Fig.10) has
a
number
of
scoured surfaces in the lower
part of the succession and the lowermost sequence is made up of interbedded lenticular
sandstones and very fine-grained greenish siltstones which differ from all other lithol-
ogies. Above this sequence there are a t least two coarse-grained sandstones overlying
a scoured surface and the upper part of the cyclothem is occupied by siltstone with
thin sandstones. The siltstones have suncracks, burrows and abundant calcite con-
cretions. Cycle
D
(Fig. 11) is remarkable for the episodes of channelling recorded in the
lower sandstone beds; cycleE (Fig.12) has a number of intraformational conglomerates
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24
CYCLES IN
FLUVIAL
REGIMES
MAIN FACTS
Thick red, coarse siltstones with lentides
m d persistent beds
af
very fine. ripde-
bedded sondstone. Invertebrate burrows
d
severol horizons.
No
suncracks.
Abundant calcium corbonote concretions.
/
Thick red. coarse siiistones with
lenticles ond persistent beds
of
very fine
to medium sandstones. Suncrocks at
three horizons. Sandstones ripple-bedded
with sharp, ripp led tops. C onvolute
lamination and dump bails. Invertebrate
burrows.
Planar craas-stratified, fine to medium,
purple sondstone with contorted foresets
locally. Thin siltstone and very fine
ripple-b edd ed sandstone, both lenticular.
Scattered siltstone clasts. in:raform-
aliona l cong lomerate ot base.
Cut on siltstone. Relie f low. Smoil-
scale channels.
Rapid alternation of lenticular sond-
stones ond siltstones. Sandstones mostly
white, ca m e, cross -stratified ; sharp bases,
Wen erosional. and sharp rippled
or
smooth tops. Siitstones pale green
and unbrdded.
Cut on sinstone. Re lief low.
INTERPRETATION
Vertical accretion deposit from overbank
flocds. Mo stly back- deposits with
c w s e intercoiations representing toes
of
ievees or crevasse-splays. Conaetirms
sugqest fiuctud i- groundwater table and
exposure.
Vertical accretion depusit from overbon
floods. AltW Mte submergence and
exposure. Complex of levee, backswomp
and perhaps crevosse-splay deposits.
Active river channel ot
o
distance.
Channel deposit proboMy fwm ed by
iaterol accretion on point-bor. Strong,
voriobie currents. Sand carried 09 bed-load
in straight-crested dunes moving mpidly
at times. Conglomerate represents lag
deposits formed in deepest ports of
chonne
i
Erosion in deepest parts of wanderinq
freshwater channel encroaching on tidal
r iver.
Tidal channel deposit. Variable currents
with segregation of dock and moving
water. Chonnel floor o complex of mud
banks and sand banks covered with
'tiunes .
Erosion at f loor of t idal channel.
Fig.10. Generalised succession and interpretation of Dittonian cyclothem (cycle C) at Lydney,
Gloucestershire. For legend
see
Fig.8 . (After J.
R. L. ALLEN,
964a.)
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CYCLES
IN
THE
OLD RED SANDSTONE OF BRITAIN
25
~~
MAIN
FACTS
INTERPRETATION
FUlr
and coven channd. Red. flat - Channrl-fil l and latmral accretion
r u n wc k o d & l t S t O M .
In
form
of
chonnal. ReIU
about 4.0h.
5
Some siltstone.
Fig.11. Generalised succession and interpretation
of
Dittonian cyclothem (cycle D) at Tugford,
Shropshire. For legend see Fig.8. (After J. R.
L.
LEN964a.)
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26
CYCLES IN FLUVIAL REGIMES
r
MAIN FACTS
Red coarse siltstones with invertebrate
burrows, ripple-be dded sandstone lentlcles,
and convolute laminations. No evidence
of exposure.
Red coarse siltstones alternating
with beds or biscuitd of ripple-bedded,
very fine sandstone. Invertebrate
No proofs of exposure
Red, flat - o r ripple-bed ded very
fine to fine sandstone with a channeled
scoured surfoce in lower Dart.
Scattered siltstone ciasts.
2
Intrafo rmation al conglomerotes on
scoured surfaces alternating with green
1 siltstones and very fine to fins sand-
stones, showing ripple-bedding, flat-
bedding or convolute lamination.
Concentrations of plant deb ris and
l
. .
. . .
.
.
. .
. , . ._. ,
,. ,.
.
,. ..,. I
ostracoderms. some af latter articulated.
Scoured surface of low relief cut
INTERPRETATION
Vertica l arcretion deposit from
overbank floods. Backswamp area. proba bly
a permanent lake.
Vertical accretion deposit from
overbank floods . Levee and backswamp
deposits with area possibly a lake
for long periods.
Probably mixed channel-fil l ond
lateral accretion deposits. Deposition of
suspended and bed loads on channel
bars and sand flats. Deepening or
wandering of channel at times.
Mixed channel-fil l and channel lag
deposits. Repeated m igration and
partial oggradation of channel. Flotsam
of floodpialn plants and riverine
ostracoderms deposited in or near
active channel.
Erosion a t floo r of wand ering river.
Fig.12. GeneraIised succession and interpretation of Dittonian cyclothem cycle E) at Abergavenny,
Monmouthshire.
For
legend
see
Fig.8. After
J. R. L. ALLEN,
964a.)
in its lower portion and cycleF (Fig.13) has a notable series
of
potholes in one surface
within the lower half while the lowest sandstone member is exceptional in having flat-
bedded horizontal laminae rather than cross-stratification.
Some objections might be raised to the way in which these cycles have been
delimited. It is clear that no simple set of criteria has been used. For example in
cycleD (Fig. 11) the presence of siltstone
(9)
nd the channelling above might have been
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CYCLES
IN
THE OLD RED SANDSTONE OF BRITAIN
MAIN FACTS
Alterna tion of thin sandstones and
siltstones. Red sandy coarse siltstones
with invertebrate burrows and rare
carbon ate concretions. Very f ine to fine
poorly sorted sandstones. flo t- or rlpp ls
bedded
or
mossive. Commonly rest on
suncracked or eroded surfaces. Tops
gradat ional or sharp with ripples.
Invertebrote burrows.
27
I
INTERPRETATION
Verticol accre tion dDposlt from
overbonk floods. Backswamp deposit with
intercalated levee tongue. Fluctua ting
groundwater table and periodic
exposure.
Vertico l accret ion deposit from
overbonk floods. Dep osit ion of
suspended load vio be d-load on levees,
crevasse splays, and in bockswamps.
Repeated scour, aggradation. and
expasure
of
floodplain top-strotum.
Flow at times in direction awoy. from
eariler channel.
Probably mixed channel-fi l l and
lateral accretion deposit. Deposition of
bed-loa d in channels, shallow and
probably shif ting an d braided, wit h some
wave act ion on exposed bonks and
bars. Local channel lag deposits.
Erosion
at
floor of wandering
river channel.
Fig.13. Generalised succession and interpretation of Breconian cyclothem (cycle F) at Mitcheldean,
Gloucestershire. For legend
see Fig.8.
(After J. R.
L. ALLEN,
964a.)
taken to indicate
a
separate cycle. In this connection J . R.
L.
ALLEN1965a) said:
although two siltstones are present, the sequence is considered to represent a single
cycle of deposition, because of the essentially uniform palaeocurrents observed and
the manner in which an existing facies controlled the deposition of a later one.
In
speaking of a single phase of deposition
J. R. L.
Allen seems to indicate that the
cycles
have been demarcated in terms of a model based on studies of Recent sediments.
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28 CYCLES IN n U V I A L REGIMES
POIN T-B AR CREVASSE- SPLAY CHANNEL-FILL
- - - - - - - - -
Fig.14.
Block
diagram illustrating the developmentof flood-plain deposits in relation to a meandering
channel. (After J. R. L. ALLEN,964a.)
Within these deposits a depositional unit can result from channel migration which
has the essential features mentioned above, the scour surface, the coarse followed by
the fine fill. This fining-upwards unit J. R.
L. ALLEN
(1965a) took to be typical of
alluvial deposits. But each episode of channel migration is likely to be more or less
complicated and variable.
Recent-sediment studies suggest that in any one phase a number of different
types of deposits may form (see J. R. L. ALLEN, 965b, for comprehensive survey).
These are-together with their location of development (see Fig.14): (a)vertical accre-
tion deposits (levee and back swamp); (b) splay deposits (crevasse from channels);
(c)
lateral accretion deposits (point bar and channel bar);
( d )
ag deposits (channel);
(e) fill deposits (channel).
Vertical accretion deposits form away from the channel and consist mostly of
rather he-grained material which is spread over the flood plain. The sediments de-
crease in grain-size away from the levees and predominantly silty or sandy interbeds
record increased water flow. Deposition occurs mainly from the suspended load to
give horizontal lamination, though the fine-grained sands may be moulded into ripples
with cross-lamination. Some of the sands have distinct lower surfaces but their upper
margins are gradational. Drying-out periods are common with the development of sun-
cracks, soil profiles and, under suitable conditions, calcite concretions. The sediments
are penetrated by plant rootlets and invertebrate burrows. Towards the levees sandy
layers become more frequent and in the levees themselves there is a rapid alternation
of sand, silt and clay with small-scale ripple cross-lamination very common.
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CYCLES IN THE OLD
RED SANDSTONE
OF BRITAIN
29
Crevasse-splay deposits are not unlike those of the levees but may be coarser in
grain and almost entirely sandy and rippled. The sand layers have sharp bases. The
deposits form fan-like wedges which spread into the back-swamp areas from cuts in
the levees.
Lateralaccretion depositsaccumulatewithin the channelas point bars in meanders,
or channel bars within the stream course. The deposits are formed from the bed-load
in variously sized and shaped cross-laminae. Some are very large laminae related to
large dune formation; other form the typical festoon-beddingproduced by accumulat-
ing lunate dunes or by repeated scour and fill units. Ripple cross-lamination may be
ubiquitous. Active bank erosion produces
a scattering
of
penecontemporaneous clasts
throughout the deposits. The size of the cross-laminated units frequently becomes
smaller as the channel shoals. Horizontal bedding with primary current lineation on
parting planes also occurs. The development of large and small cross-lamination or
flat-bedding is determined by the flow conditions (Table 11).
TABLE
11
SEDIMENTATfON STRUCTURES
OF
WELL WASHED SANDS AND SANDSTONES IN RELATION TO PLOW CONDITIONS
(After J. R.
L.
ALLEN,
1964a)
Internal structure Bed surface roughness fo rm
Flow
conditions
Small-scale Small-scale
cross-stratification ripples
Low intensity
lower-flow regime
Large-scale Large-scale High intensity
cross-stratification ripples or dunes lower-flow regime
(sets assembled in cosets)
Flat-bedding with primary Plane beds with sedim ent Upper-flow regime
current lineation movement
Channel-lag
deposits form the coarsest-grained material of the alluvium. They
comprise detrital material from the source rocks and clasts derived from penecontempo-
raneous erosion of the river's own deposits. The large fragments are confined to the
bottom of the channel and move relatively slowly, lagging behind at normal or
low-water and being moved only at high-water stages.
Channel- 11 deposits are found in abandoned channels, the nature of the deposits
depending on the nature of the abandonment. If the cutting-off is complete and abrupt
then the deposits are mostly fine-grained, arriving from overbank floods and produced
by vertical accretion which results in predominantly flat lamination. If abandonment
is gradual then the fill may be rapid, coarse material predominates, scour and fill
episodes are frequent and cross bedding is very common.
The base of any channel is characterised by scour structures which are usually
somewhat indefinite in outline. Sometimes no preferred orientation of scours is pre-
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30 CYCLES I N FLUVIAL
REGIMES
sent, sometimes they have crudely fluted outlines, elongated parallel to the current.
The depth of the scours tends to be limited to only a few cm (DOEGLAS,962).
The model of sedimentation which
J.
R. L. ALLEN1964a) proposed and ap-
peared to refer to as one episode of sedimentation is that cycle which begins by active
channelling followed by gradual deposition until filling is completed. Both the cutting
and the fill