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Land Forcing and Coral Reefs: Terrestrial Runoff as a Factor in Coral Reef Distribution By: Casey J. McLaughlin University of Kansas And Casey C. Smith Swarthmore College

Land Forcing and Coral Reefs: Terrestrial Runoff as a Factor in Coral Reef Distribution

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Land Forcing and Coral Reefs: Terrestrial Runoff as a Factor in Coral Reef Distribution. By: Casey J. McLaughlin University of Kansas And Casey C. Smith Swarthmore College. Introduction. - PowerPoint PPT Presentation

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  • Land Forcing and Coral Reefs: Terrestrial Runoff as a Factor in Coral Reef DistributionBy:Casey J. McLaughlinUniversity of KansasAndCasey C. SmithSwarthmore College

  • IntroductionCoastal ecosystems such as coral reefs are increasingly in danger from non-local anthropogenic effects such as deforestation, land use, and pollution in inland river basins. These non-local pressures are channeled from a potentially large basin scale through freshwater discharge into the coastal zone. As a first estimate of a reefto--runoff relationship, I examined global reef distributions as a function of total runoff within the same 30 grid cell. The resulting correlation suggested that runoff inhibited reef occurrence when runoff was greater than 1010 m3/yr. Combining basin runoff and five additional variables (average sea surface temperature, minimum salinity, wave height, tidal range, Chlorphyll-A) selected to proxy the effect of runoff, increased predictive capabilities. The use of statistical representation of spatial and temporal variability allowed useful analytical comparisons of the environmental variables. Spatial and temporal statistics (standard deviations minimum/maximum months, ranges) were summarized for each variable into a standard 30 spatial grid cell, providing a common framework for K-means clustering routine. Further classification of runoff-related stresses can then be made, for example, by adding modeled sediment discharge to refine the prediction of areas of reef stress from human activities. This information is important to understanding both paleo-environmental forcing of reefs and the potential effects of present and future human alterations to the hydrologic cycle.

  • ObjectiveInvestigate the relationship between terrigenous runoff and coral reef distribution1. Selection Criteria2. Data Integration3. Hypothesis TestingCraig Quirolohttp://www.reefrelief.org Integrate land and ocean based data sets to test coral reef distribution relative to fresh water dischargewww.epa.gov/Oceans and Coastal Protection Coral Reefs and Your Coastal Watershed.htm

  • 1. Selection Criteria2. Data Integration3. Hypothesis TestingDefining the limits of coral reef distribution:Minimum Sea Surface Temperature Salinity Light Penetration Aragonite Saturation Nutrient LoadsEnvironmental Limits to Coral Reef Development, Where Do We Draw the Line?Kleypas, Joan, McManus, John, and Meez, LambertAmerican Zoologist, Vol. 39, No. 1 February 1999Scale:1 degree grid system1,000 reef locations1-100 year time scaleConceptual tie-in:We consider sediment loadsin addition to proxies for the other variables

  • System Interaction:Wave Height, Tidal Range, andChlorophyll-A Land Forcing:Annual Basin Discharge (log)Ocean Influence:Average Sea Surface TemperatureMinimum Salinity1. Selection Criteria2. Data Integration3. Hypothesis TestingEnvironmental variables used to investigate sediment--reef relationships in the context ofdistribution-limiting variablesSpatial Limitations:Latitude: 30N to 30SReefs: Coastal focus ~6600 recordsGrid Cell: 0.5 degreesLocation:ReefBase reef location inventory ~10,000 total records

  • Reefbase Reef Inventory

  • 1. Selection Criteria2. Data Integration3. Hypothesis TestingLOICZ and Hexacoralliadatabase structure

  • Analysis MethodsK-means clustering (LOICZVIEW) of runoff, reef occurrence and environmental variables VisualizationBuffering and spatial querying using ArcView GIS1. Selection Criteria2. Data Integration3. Hypothesis Testing

  • Statistical Analysis of reef occurrence in relation to log basin runoffRunoffUnsupervised runoff clusteringwith reef overlayConsidered alone,runoff has a stronganti-correlation with reef distribution

    Chart1

    1065435

    998230

    6610

    16529

    26850

    33364

    38884

    34064

    26943

    17913

    45

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Runoff Clusters

    Charts

    10 RO clusters and their reefinessNormalizedDeviationDeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    NULL10652028435Null0.2144970414-0.05105203540.8077491514-0.1922508486-19.2250848595-83.62911913924391.6975752474

    399876823000.29947916670.03393008991.12777333030.127773330312.777333028429.387865965214470.8573342019

    26656107.280.1785714286-0.08697764820.6724611162-0.3275388838-32.7538883806-3.2753888381400.0134950084

    6165136298.40.2132352941-0.05231378270.8029976858-0.1970023142-19.7002314192-5.71306711161080.0619798569

    4268218508.990.2293577982-0.03619127860.8637115254-0.1362884746-13.6288474613-6.81442373072720.4223597755

    7333269649.320.2379182156-0.02763086120.8959481935-0.1040518065-10.4051806528-6.65931561785180.9629899579

    1388304849.570.27631578950.01076671271.04054509560.04054509564.05450955843.40578802915660.8661972889

    9340276649.80.231884058-0.03366501880.8732248697-0.1267751303-12.6775130276-8.11360833764290.6691991082

    52692264310.080.1902654867-0.075283590.7164983928-0.2835016072-28.350160717-12.19056910831980.1434938819

    81791661310.540.078313253-0.18723582380.2949106582-0.7050893418-70.5089341814-9.166161443637-0.3858616871

    04544111.430.0227272727-0.2428218040.0855859602-0.9144140398-91.4414039757-0.91441403981-0.5703433754

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Runoff Clusters

    RO_Only

    Normalized

    Sheet3

    Deviation

    Avg. Cluster Runoff

    DEVIATION(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    10 RO clusters and their reefinessNormalizedDeviationDeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# Reefs(reefs/cells) - (total reefs/total cells)

    04544111.430.0227272727-0.2428218040.0855859602-0.9144140398-91.4414039757-0.91441403981-0.5703433754

    1388304849.570.27631578950.01076671271.04054509560.04054509564.05450955843.40578802915660.8661972889

    26656107.280.1785714286-0.08697764820.6724611162-0.3275388838-32.7538883806-3.2753888381400.0134950084

    399876823000.29947916670.03393008991.12777333030.127773330312.777333028429.387865965214470.8573342019

    4268218508.990.2293577982-0.03619127860.8637115254-0.1362884746-13.6288474613-6.81442373072720.4223597755

    52692264310.080.1902654867-0.075283590.7164983928-0.2835016072-28.350160717-12.19056910831980.1434938819

    6165136298.40.2132352941-0.05231378270.8029976858-0.1970023142-19.7002314192-5.71306711161080.0619798569

    7333269649.320.2379182156-0.02763086120.8959481935-0.1040518065-10.4051806528-6.65931561785180.9629899579

    81791661310.540.078313253-0.18723582380.2949106582-0.7050893418-70.5089341814-9.166161443637-0.3858616871

    9340276649.80.231884058-0.03366501880.8732248697-0.1267751303-12.6775130276-8.11360833764290.6691991082

    NULL1065202843500.2144970414-0.05105203540.8077491514-0.1922508486-19.2250848595-83.62911913924391.6975752474

    Totals:24635886.46055

    Total Cells:41161093Reef/total0.2655490768

    Total Reefs6055

    Chart3

    1.6975752474

    0.8573342019

    0.0134950084

    0.0619798569

    0.4223597755

    0.9629899579

    0.8661972889

    0.6691991082

    0.1434938819

    -0.3858616871

    -0.5703433754

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Runoff Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    Charts

    10 RO clusters and their reefinessNormalizedDeviationDeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    NULL10652028435Null0.2144970414-0.05105203540.8077491514-0.1922508486-19.2250848595-83.62911913924391.6975752474

    399876823000.29947916670.03393008991.12777333030.127773330312.777333028429.387865965214470.8573342019

    26656107.280.1785714286-0.08697764820.6724611162-0.3275388838-32.7538883806-3.2753888381400.0134950084

    6165136298.40.2132352941-0.05231378270.8029976858-0.1970023142-19.7002314192-5.71306711161080.0619798569

    4268218508.990.2293577982-0.03619127860.8637115254-0.1362884746-13.6288474613-6.81442373072720.4223597755

    7333269649.320.2379182156-0.02763086120.8959481935-0.1040518065-10.4051806528-6.65931561785180.9629899579

    1388304849.570.27631578950.01076671271.04054509560.04054509564.05450955843.40578802915660.8661972889

    9340276649.80.231884058-0.03366501880.8732248697-0.1267751303-12.6775130276-8.11360833764290.6691991082

    52692264310.080.1902654867-0.075283590.7164983928-0.2835016072-28.350160717-12.19056910831980.1434938819

    81791661310.540.078313253-0.18723582380.2949106582-0.7050893418-70.5089341814-9.166161443637-0.3858616871

    04544111.430.0227272727-0.2428218040.0855859602-0.9144140398-91.4414039757-0.91441403981-0.5703433754

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Runoff Clusters

    RO_Only

    Normalized

    Sheet3

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Runoff Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    10 RO clusters and their reefinessNormalizedDeviationDeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# Reefs(reefs/cells) - (total reefs/total cells)

    04544111.430.0227272727-0.2428218040.0855859602-0.9144140398-91.4414039757-0.91441403981-0.5703433754

    1388304849.570.27631578950.01076671271.04054509560.04054509564.05450955843.40578802915660.8661972889

    26656107.280.1785714286-0.08697764820.6724611162-0.3275388838-32.7538883806-3.2753888381400.0134950084

    399876823000.29947916670.03393008991.12777333030.127773330312.777333028429.387865965214470.8573342019

    4268218508.990.2293577982-0.03619127860.8637115254-0.1362884746-13.6288474613-6.81442373072720.4223597755

    52692264310.080.1902654867-0.075283590.7164983928-0.2835016072-28.350160717-12.19056910831980.1434938819

    6165136298.40.2132352941-0.05231378270.8029976858-0.1970023142-19.7002314192-5.71306711161080.0619798569

    7333269649.320.2379182156-0.02763086120.8959481935-0.1040518065-10.4051806528-6.65931561785180.9629899579

    81791661310.540.078313253-0.18723582380.2949106582-0.7050893418-70.5089341814-9.166161443637-0.3858616871

    9340276649.80.231884058-0.03366501880.8732248697-0.1267751303-12.6775130276-8.11360833764290.6691991082

    NULL1065202843500.2144970414-0.05105203540.8077491514-0.1922508486-19.2250848595-83.62911913924391.6975752474

    Totals:24635886.46055

    Total Cells:41161093Reef/total0.2655490768

    Total Reefs6055

  • UnsupervisedStatistical Analysis of reef occurrence in relation to combined env. variablesUnsupervised clustering of6 env. variableswith reef overlayRunoff does notdominatedistribution

    Chart1

    541305

    328113

    45588

    3071

    26523

    942

    20042

    779218

    622176

    52555

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Unsupervised Clusters

    Unsupervised

    10 clusters (Unsupervised) and their reefinessNormalizedDeviationDev2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1Total Reefs(reefs/cells) - (total reefs/total cells)

    07795612189.440.38859180040.12304272361.46335210450.463352104546.3352104545101.010758790713140.215689485

    16224461769.520.39461883410.12906975731.48604860120.486048601248.604860116885.544553805510480.2137990244

    254123630501.29237288141.02682380464.86679485793.8667948579386.67948578781179.372431652916471.5732738567

    3200158428.880.26582278480.0002737081.00103072490.00103072490.10307248660.04329044444410.7339115646

    4949228.870.0217391304-0.24380994630.0818648315-0.9181351685-91.8135168463-1.83627033692-1.4498118396

    5265242237.960.0950413223-0.17050775450.3579049247-0.6420950753-64.2095075348-14.768186733117-1.0295790014

    630730613.010.0032679739-0.26228110290.0123064779-0.9876935221-98.7693522057-0.98769352211-1.4678311064

    7525470559.620.1170212766-0.14852780020.4406766464-0.5593233536-55.9323353643-30.7627844504161-1.1644217687

    832821511300.52558139530.26003231861.97922508990.979225089997.9225089896110.65243515825820.3033018085

    94553678800.2397820163-0.02576706040.9029668612-0.0970331388-9.70331388-8.53891621447420.1596807954

    Totals:309310236.46055

    Total Cells:41161093Reef/total0.2655490768

    Total Reefs6055

    1.4710884354

    Charts

    10 clusters (Unsupervised) and their reefinessNormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1#ReefsDeviation

    254123630501.29237288141.02682380464.86679485793.8667948579386.67948578781179.372431652916471.5732738567

    832821511300.52558139530.26003231861.97922508990.979225089997.9225089896110.65243515825820.3033018085

    94553678800.2397820163-0.02576706040.9029668612-0.0970331388-9.70331388-8.53891621447420.1596807954

    630730613.010.0032679739-0.26228110290.0123064779-0.9876935221-98.7693522057-0.98769352211-1.4678311064

    5265242237.960.0950413223-0.17050775450.3579049247-0.6420950753-64.2095075348-14.768186733117-1.0295790014

    4949228.870.0217391304-0.24380994630.0818648315-0.9181351685-91.8135168463-1.83627033692-1.4498118396

    3200158428.880.26582278480.0002737081.00103072490.00103072490.10307248660.04329044444410.7339115646

    07795612189.440.38859180040.12304272361.46335210450.463352104546.3352104545101.010758790713140.215689485

    16224461769.520.39461883410.12906975731.48604860120.486048601248.604860116885.544553805510480.2137990244

    7525470559.620.1170212766-0.14852780020.4406766464-0.5593233536-55.9323353643-30.7627844504161-1.1644217687

    Totals:309310236.4

    Total Cells:41161093Reef/total0.2655490768

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Unsupervised Clusters

    Sheet3

    Normalized

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Unsupervisedf Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells

    Chart2

    1.5732738567

    0.3033018085

    0.1596807954

    -1.4678311064

    -1.0295790014

    -1.4498118396

    0.7339115646

    0.215689485

    0.2137990244

    -1.1644217687

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Unsupervisedf Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells

    Unsupervised

    10 clusters (Unsupervised) and their reefinessNormalizedDeviationDev2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1Total Reefs(reefs/cells) - (total reefs/total cells)

    07795612189.440.38859180040.12304272361.46335210450.463352104546.3352104545101.010758790713140.215689485

    16224461769.520.39461883410.12906975731.48604860120.486048601248.604860116885.544553805510480.2137990244

    254123630501.29237288141.02682380464.86679485793.8667948579386.67948578781179.372431652916471.5732738567

    3200158428.880.26582278480.0002737081.00103072490.00103072490.10307248660.04329044444410.7339115646

    4949228.870.0217391304-0.24380994630.0818648315-0.9181351685-91.8135168463-1.83627033692-1.4498118396

    5265242237.960.0950413223-0.17050775450.3579049247-0.6420950753-64.2095075348-14.768186733117-1.0295790014

    630730613.010.0032679739-0.26228110290.0123064779-0.9876935221-98.7693522057-0.98769352211-1.4678311064

    7525470559.620.1170212766-0.14852780020.4406766464-0.5593233536-55.9323353643-30.7627844504161-1.1644217687

    832821511300.52558139530.26003231861.97922508990.979225089997.9225089896110.65243515825820.3033018085

    94553678800.2397820163-0.02576706040.9029668612-0.0970331388-9.70331388-8.53891621447420.1596807954

    Totals:309310236.46055

    Total Cells:41161093Reef/total0.2655490768

    Total Reefs6055

    1.4710884354

    Charts

    10 clusters (Unsupervised) and their reefinessNormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1#ReefsDeviation

    254123630501.29237288141.02682380464.86679485793.8667948579386.67948578781179.372431652916471.5732738567

    832821511300.52558139530.26003231861.97922508990.979225089997.9225089896110.65243515825820.3033018085

    94553678800.2397820163-0.02576706040.9029668612-0.0970331388-9.70331388-8.53891621447420.1596807954

    630730613.010.0032679739-0.26228110290.0123064779-0.9876935221-98.7693522057-0.98769352211-1.4678311064

    5265242237.960.0950413223-0.17050775450.3579049247-0.6420950753-64.2095075348-14.768186733117-1.0295790014

    4949228.870.0217391304-0.24380994630.0818648315-0.9181351685-91.8135168463-1.83627033692-1.4498118396

    3200158428.880.26582278480.0002737081.00103072490.00103072490.10307248660.04329044444410.7339115646

    07795612189.440.38859180040.12304272361.46335210450.463352104546.3352104545101.010758790713140.215689485

    16224461769.520.39461883410.12906975731.48604860120.486048601248.604860116885.544553805510480.2137990244

    7525470559.620.1170212766-0.14852780020.4406766464-0.5593233536-55.9323353643-30.7627844504161-1.1644217687

    Totals:309310236.4

    Total Cells:41161093Reef/total0.2655490768

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Unsupervised Clusters

    Sheet3

    Normalized

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Unsupervisedf Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells

  • SupervisedStatistical Analysis of reef occurrence in relation to log basin runoffSupervised byrunoff: clustering of 6env. variables with reef overlayHigh runoff valuesshow strong controlof reef distribution

    Chart1

    1057305

    36431

    370

    15831

    33355

    820313

    520179

    1756

    27669

    16818

    20716

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Supervised by Runoff

    Sup_RO

    10 Clusters, 6 variables.Supervised by RO (1 Std. Dev)NormalizedDeviationdeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6055

    Totals:309310236.4

    Total Cells:41161023Reef/total0.2485422741

    Reefs/tot.Cells1.4710884354

    Charts

    10 Clusters, 6 variables.Supervised by RO (1 Std. Dev)NormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1ReefsDeviation2

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Supervised by Runoff

    Sheet3

    Normalized

    Deviation

    Avg. Cluster Runoff

    DEVIATION(Reefs in Cluster/Cells in CLuster) - (Total Reefs/Total Cells)

    Chart4

    0.1798103347

    -0.2870225013

    -1.4710884354

    -0.6039998278

    0.3457283814

    0.4459847354

    0.6712192569

    -1.3396598639

    -0.4747116238

    -0.7448979592

    -1.3213299813

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Supervised by Runoff)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    Sup_RO

    10 Clusters, 6 variables.Supervised by RO (1 Std. Dev)NormalizedDeviationdeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6055

    Totals:309310236.4

    Total Cells:41161023Reef/total0.2485422741

    Reefs/tot.Cells1.4710884354

    Charts

    10 Clusters, 6 variables.Supervised by RO (3 Std. Dev)NormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1ReefsDeviation2

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Supervised by Runoff

    Sheet3

    Normalized

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Supervised by Runoff)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

  • Deviations1. Selection Criteria2. Data Integration3. Hypothesis Testing

    Chart3

    1.6975752474

    0.8573342019

    0.0134950084

    0.0619798569

    0.4223597755

    0.9629899579

    0.8661972889

    0.6691991082

    0.1434938819

    -0.3858616871

    -0.5703433754

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Runoff Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    Charts

    10 RO clusters and their reefinessNormalizedDeviationDeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    NULL10652028435Null0.2144970414-0.05105203540.8077491514-0.1922508486-19.2250848595-83.62911913924391.6975752474

    399876823000.29947916670.03393008991.12777333030.127773330312.777333028429.387865965214470.8573342019

    26656107.280.1785714286-0.08697764820.6724611162-0.3275388838-32.7538883806-3.2753888381400.0134950084

    6165136298.40.2132352941-0.05231378270.8029976858-0.1970023142-19.7002314192-5.71306711161080.0619798569

    4268218508.990.2293577982-0.03619127860.8637115254-0.1362884746-13.6288474613-6.81442373072720.4223597755

    7333269649.320.2379182156-0.02763086120.8959481935-0.1040518065-10.4051806528-6.65931561785180.9629899579

    1388304849.570.27631578950.01076671271.04054509560.04054509564.05450955843.40578802915660.8661972889

    9340276649.80.231884058-0.03366501880.8732248697-0.1267751303-12.6775130276-8.11360833764290.6691991082

    52692264310.080.1902654867-0.075283590.7164983928-0.2835016072-28.350160717-12.19056910831980.1434938819

    81791661310.540.078313253-0.18723582380.2949106582-0.7050893418-70.5089341814-9.166161443637-0.3858616871

    04544111.430.0227272727-0.2428218040.0855859602-0.9144140398-91.4414039757-0.91441403981-0.5703433754

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Runoff Clusters

    RO_Only

    Normalized

    Sheet3

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Runoff Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    10 RO clusters and their reefinessNormalizedDeviationDeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# Reefs(reefs/cells) - (total reefs/total cells)

    04544111.430.0227272727-0.2428218040.0855859602-0.9144140398-91.4414039757-0.91441403981-0.5703433754

    1388304849.570.27631578950.01076671271.04054509560.04054509564.05450955843.40578802915660.8661972889

    26656107.280.1785714286-0.08697764820.6724611162-0.3275388838-32.7538883806-3.2753888381400.0134950084

    399876823000.29947916670.03393008991.12777333030.127773330312.777333028429.387865965214470.8573342019

    4268218508.990.2293577982-0.03619127860.8637115254-0.1362884746-13.6288474613-6.81442373072720.4223597755

    52692264310.080.1902654867-0.075283590.7164983928-0.2835016072-28.350160717-12.19056910831980.1434938819

    6165136298.40.2132352941-0.05231378270.8029976858-0.1970023142-19.7002314192-5.71306711161080.0619798569

    7333269649.320.2379182156-0.02763086120.8959481935-0.1040518065-10.4051806528-6.65931561785180.9629899579

    81791661310.540.078313253-0.18723582380.2949106582-0.7050893418-70.5089341814-9.166161443637-0.3858616871

    9340276649.80.231884058-0.03366501880.8732248697-0.1267751303-12.6775130276-8.11360833764290.6691991082

    NULL1065202843500.2144970414-0.05105203540.8077491514-0.1922508486-19.2250848595-83.62911913924391.6975752474

    Totals:24635886.46055

    Total Cells:41161093Reef/total0.2655490768

    Total Reefs6055

    Chart2

    1.5732738567

    0.3033018085

    0.1596807954

    -1.4678311064

    -1.0295790014

    -1.4498118396

    0.7339115646

    0.215689485

    0.2137990244

    -1.1644217687

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Unsupervisedf Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells

    Unsupervised

    10 clusters (Unsupervised) and their reefinessNormalizedDeviationDev2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1Total Reefs(reefs/cells) - (total reefs/total cells)

    07795612189.440.38859180040.12304272361.46335210450.463352104546.3352104545101.010758790713140.215689485

    16224461769.520.39461883410.12906975731.48604860120.486048601248.604860116885.544553805510480.2137990244

    254123630501.29237288141.02682380464.86679485793.8667948579386.67948578781179.372431652916471.5732738567

    3200158428.880.26582278480.0002737081.00103072490.00103072490.10307248660.04329044444410.7339115646

    4949228.870.0217391304-0.24380994630.0818648315-0.9181351685-91.8135168463-1.83627033692-1.4498118396

    5265242237.960.0950413223-0.17050775450.3579049247-0.6420950753-64.2095075348-14.768186733117-1.0295790014

    630730613.010.0032679739-0.26228110290.0123064779-0.9876935221-98.7693522057-0.98769352211-1.4678311064

    7525470559.620.1170212766-0.14852780020.4406766464-0.5593233536-55.9323353643-30.7627844504161-1.1644217687

    832821511300.52558139530.26003231861.97922508990.979225089997.9225089896110.65243515825820.3033018085

    94553678800.2397820163-0.02576706040.9029668612-0.0970331388-9.70331388-8.53891621447420.1596807954

    Totals:309310236.46055

    Total Cells:41161093Reef/total0.2655490768

    Total Reefs6055

    1.4710884354

    Charts

    10 clusters (Unsupervised) and their reefinessNormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1#ReefsDeviation

    254123630501.29237288141.02682380464.86679485793.8667948579386.67948578781179.372431652916471.5732738567

    832821511300.52558139530.26003231861.97922508990.979225089997.9225089896110.65243515825820.3033018085

    94553678800.2397820163-0.02576706040.9029668612-0.0970331388-9.70331388-8.53891621447420.1596807954

    630730613.010.0032679739-0.26228110290.0123064779-0.9876935221-98.7693522057-0.98769352211-1.4678311064

    5265242237.960.0950413223-0.17050775450.3579049247-0.6420950753-64.2095075348-14.768186733117-1.0295790014

    4949228.870.0217391304-0.24380994630.0818648315-0.9181351685-91.8135168463-1.83627033692-1.4498118396

    3200158428.880.26582278480.0002737081.00103072490.00103072490.10307248660.04329044444410.7339115646

    07795612189.440.38859180040.12304272361.46335210450.463352104546.3352104545101.010758790713140.215689485

    16224461769.520.39461883410.12906975731.48604860120.486048601248.604860116885.544553805510480.2137990244

    7525470559.620.1170212766-0.14852780020.4406766464-0.5593233536-55.9323353643-30.7627844504161-1.1644217687

    Totals:309310236.4

    Total Cells:41161093Reef/total0.2655490768

    Charts

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Unsupervised Clusters

    Sheet3

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Normalized

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Unsupervisedf Clusters)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells

    Chart4

    0.1798103347

    -0.2870225013

    -1.4710884354

    -0.6039998278

    0.3457283814

    0.4459847354

    0.6712192569

    -1.3396598639

    -0.4747116238

    -0.7448979592

    -1.3213299813

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Supervised by Runoff)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    Sup_RO

    10 Clusters, 6 variables.Supervised by RO (1 Std. Dev)NormalizedDeviationdeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6055

    Totals:309310236.4

    Total Cells:41161023Reef/total0.2485422741

    Reefs/tot.Cells1.4710884354

    Charts

    10 Clusters, 6 variables.Supervised by RO (3 Std. Dev)NormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1ReefsDeviation2

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Supervised by Runoff

    Sheet3

    Normalized

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Supervised by Runoff)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

  • The Americas--visualizing results:an example

    Chart4

    0.1798103347

    -0.2870225013

    -1.4710884354

    -0.6039998278

    0.3457283814

    0.4459847354

    0.6712192569

    -1.3396598639

    -0.4747116238

    -0.7448979592

    -1.3213299813

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Supervised by Runoff)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

    Sup_RO

    10 Clusters, 6 variables.Supervised by RO (1 Std. Dev)NormalizedDeviationdeviation2

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1# of Reefs(reefs/cells) - (total reefs/total cells)

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6055

    Totals:309310236.4

    Total Cells:41161023Reef/total0.2485422741

    Reefs/tot.Cells1.4710884354

    Charts

    10 Clusters, 6 variables.Supervised by RO (3 Std. Dev)NormalizedDeviation

    ClusterTotal CellsNoReef CellsReef CellsAVG RORnRn-RtRn/RtRn/Rt-1%c1*h1ReefsDeviation2

    3105775230500.40558510640.15704283231.63185561860.631855618663.1855618644192.715963686317450.1798103347

    2364333316.910.0930930931-0.1554491810.3745563746-0.6254436254-62.5443625444-19.3887523888431-0.2870225013

    *10373708.880-0.24854227410-1-10000-1.4710884354

    6158127319.320.2440944882-0.00444778590.9821045097-0.0178954903-1.7895490336-0.5547602004137-0.6039998278

    7333278559.370.1978417266-0.05070054740.7960083546-0.2039916454-20.3991645393-11.21954049666050.3457283814

    48205073139.430.6173570020.36881472792.48391145661.4839114566148.3911456616464.464285920915720.4459847354

    15203411799.50.52492668620.27638441222.11202174041.1120217404111.2021740439199.051891538611140.6712192569

    017516969.630.0355029586-0.21303931550.1428447483-0.8571552517-85.7155251696-5.142931510223-1.3396598639

    9276208699.710.33173076920.08318849521.3347056170.33470561733.470561696423.0946875705275-0.4747116238

    5168150189.740.12-0.12854227410.4828152493-0.5171847507-51.7184750733-9.3093255132122-0.7448979592

    8207191169.780.0837696335-0.16477264050.337043804-0.662956196-66.2956195974-10.607299135631-1.3213299813

    Charts

    Total Cells

    Reef Cells

    Avg. Cluster Runoff

    Cells

    Supervised by Runoff

    Sheet3

    Normalized

    Deviation

    Avg. Cluster Runoff

    DEVIATION (Supervised by Runoff)(Reefs in Cluster/Cells in Cluster) - (Total Reefs/Total Cells)

  • Africa and Arabia

  • Austral-Asia

  • Buffering: an alternative test of reef--runoff relationships If Log runoff > 9.8, few reefs are within ~80 km (ocean and coastal)

  • ConclusionsTerrigenous runoff does influence reef distribution --occurrence threshold roughly 9.6x106 meters3/year/0.5 degree coastal cellIntegration of data is both possible and usefulSpatial and temporal resolution are always problems --hypothesis to be tested must match the scale of the data and vice versa

    1. Selection Criteria2. Data Integration3. Hypothesis Testing

  • Web Referenceshttp://www.kgs.ukans.edu/Hexacoral/index.htmlhttp://www.reefbase.org/

    http://www.reefbase.orghttp://www.nioz.nl/loicz/http://www.palantir.swarthmore.edu/~maxwell/loicz/Support:NSF OCE-00-03970, Biogeoinformatics of the Hexacorallia; IGBP-LOICZ; UNEP-GEF

  • AVG SST and aragonite are strongly correlatedNitrate and phosphate are also correlatedTable 4 of Kleypas et al.Light is most important for reefs occurring away from shore and in higher latitudes