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Dose-Response Calculator for ArcGIS

Dose-Response Calculator for ArcGIS. Steven E. Hanser, Cameron L. Aldridge, Matthias Leu , and Scott E. Nielsen. What is a dose-response curve?. A graph Dosage rates on the X-axis Response of interest on the Y-axis. Russell et al. 1982. Why is this helpful?. Visualization tool

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Dose-Response Calculator for ArcGIS

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  1. Dose-Response Calculator for ArcGIS Steven E. Hanser, Cameron L. Aldridge, Matthias Leu, and Scott E. Nielsen

  2. What is a dose-response curve? • A graph • Dosage rates on the X-axis • Response of interest on the Y-axis Russell et al. 1982

  3. Why is this helpful? • Visualization tool • Populations • Thresholds Russell et al. 1982

  4. Dose-response curves in ecology • Species-habitat relationships • Multivariate models • Explanatory tool Aldridge et al. 2008

  5. Converting an equation to a dose- response curve • Apply the range of values for variable of interest • Hold all other variables at their mean or median • Persistence = -0.186 * Pop1950 + 0.7124 • Apply the range of values for variable of interest • Hold all other variables at their mean or median • Persistence = -0.186 * Pop1950 - 0.038 * crop% + 0.019 * km_edge - 0.058 * sev1950 + 0.049 * sb%_30 Aldridge et al. 2008

  6. How does this apply to GIS? Greater sage-grouse • Spatially explicit models Problow=1 / (1 + (exp(-(-3.56 + 2.57 * ABIGSAGE1km - 0.07 * TRI270 + 0.002 * ELEV - 1.75 * WELL1km - 2.44 * MjRD1km - 2.12 * POWER500 + 0.04 * Tmin + 0.25 * RIP1km + 0.99 * MIX3km)))) Hanser et al. in press

  7. How does this apply to GIS? • Spatially explicit models • Large array of analysis techniques • Linear models • Multivariate statistics • Mahalanobis distance • MAXENT Phillips 2005

  8. How do we incorporate variation? • Overcome the need to use mean values for variables in the model • Provide dose-response curves with confidence intervals • Provide data that can inform conservation and management actions

  9. Dose-Response Calculator • Python script tool • ArcToolbox interface Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  10. Dose-Response Calculator Greater sage-grouse Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  11. Dose-Response Calculator Sagebrush within 1 km radius Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  12. Dose-Response Calculator Sagebrush within 1 km radius Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  13. Dose-Response Calculator Sagebrush within 1 km radius Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  14. Dose-Response Calculator Sagebrush within 1 km radius Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  15. Dose-Response Calculator Response Raster Dose Raster • Raster Calculator • int (dose * multiplier) • Convert the dose raster into zones Multiplier Raster Calculator Raster Calculator Zonal Statistics Zonal Statistics Integer Zone Raster Tabular or Graph Output Response Raster Integer Zone Raster Dose Raster

  16. Dose-Response Calculator • Integer conversion 1 = original values 100 = 0-1 to 0-100% 0.001 = meters to km Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  17. Dose-Response Calculator • MakeGraph • .grf file Response Raster Dose Raster Multiplier Raster Calculator Zonal Statistics Integer Zone Raster Tabular or Graph Output

  18. Dose-Response Calculator Output • Tabular output • Graph output

  19. Linear model example Greater sage-grouse Sagebrush within 1 km radius Problow=1 / (1 + (exp(-(-3.56 + 2.57 * ABIGSAGE1km- 0.07 * TRI270 + 0.002 * ELEV - 1.75 * WELL1km - 2.44 * MjRD1km - 2.12 * POWER500 + 0.04 * Tmin + 0.25 * RIP1km + 0.99 * MIX3km)))) Hanser et al. in press

  20. Linear model example Hanser et al. in press

  21. Complex relationships Density = 1 / (1 + (exp(-(15.90 + -9.46 * ALLSAGE18km - 54.46 * NDVI18km + 48.79 * NDVI18km 2 - 86.06 * MIX5km + 1.22 * RIP1km + 0.055 * CONTAG3km + 9.18 * SALT1km - 0.08 * TRI5km + 1.52 * RDdens18km + 4.68 * WELL250 - 1.49 * GRASS3km)))) * exp(1.29 - 2.32 * ALLSAGE18km + 2.51 * NDVI18km - 11.45 * NDVI18km 2 - 19.58 * MIX5km - 3.63 * RIP1km - 0.0008 * CONTAG3km - 0.97 * SALT1km - 0.01 * TRI5km - 0.31 * RDdens18km + 1.70 * WELL250 - 0.27 * GRASS3km + 2.09) Sage sparrow Sagebrush within 18 km radius Aldridge et al. in press

  22. Complex relationships Aldridge et al. in press

  23. Simple comparisons

  24. Summary • Facilitates comparisons between 2 raster datasets • Incorporates variation into the dose-response curve • Simple pair wise comparisons • Complex linear or multivariate models

  25. Summary • ArcToolbox interface • Easy to use analysis tool • Tabular and graphic output • Range of applications

  26. Dose-response Calculator for ArcGIS • http://pubs.usgs.gov/ds/631/

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