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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