Quantile regression reveals hidden bias and uncertainty in habitat models

Ecology

Volumn 86, Issue 3, 2005, Pages 786-800

  Cade, Brian S ^a,b   Noon, Barry R ^b   Flather, Curtis H ^c  

^a FORT COLLINS SCIENCE CENTER   (United States)

^b Department of Environmental and Radiological Health Sciences   (United States)

^c ROCKY MOUNTAIN RESEARCH STATION   (United States)

Author keywords

Bivalves; Habitat; Hidden bias; Limiting factors; Quantile regression; Rank score tests; Spatial trend

Indexed keywords

BIVALVE; ERROR ANALYSIS; HABITAT; POPULATION MODELING; REGRESSION ANALYSIS; SPATIAL ANALYSIS;

AUSTRALASIA; EASTERN HEMISPHERE; NEW ZEALAND; WORLD;

ANIMALIA; BIVALVIA; MACOMONA; MACOMONA LILIANA;

EID: 15244343969     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/04-0785     Document Type: Article

References (45)

1. Angermeier, P. L., and M. R. Winston. 1998. Local vs. regional influences on local diversity in stream fish communities of Virginia. Ecology 79:911-927.
2. Borcard, D., P. Legendre, and P. Drapeau. 1992. Partialling out the spatial component of ecological variation. Ecology 73:1045-1055.
3. Cade, B. S. 2003. Quantile regression models of animal habitat relationships. Dissertation. Colorado State University, Fort Collins, Colorado, USA.
4. Cade, B. S., and Q. Guo. 2000. Estimating effects of constraints on plant performance with regression quantiles. Oikos 91:245-254.
5. Cade, B. S., and B. R. Noon. 2003. A gentle introduction to quantile regression for ecologists. Frontiers in Ecology and the Environment 1:412-420.
6. Cade, B. S., J. W. Terrell, and R. L. Schroeder. 1999. Estimating effects of limiting factors with regression quantiles. Ecology 80:311-323.
7. Clark, J. S., J. Mohan, M. Dietze, and I. Ibanez. 2003. Coexistence: how to identify trophic trade-offs. Ecology 84:17-31.
8. Dunham, J. B., B. S. Cade, and J. W. Terrell. 2002. Influences of spatial and temporal variation on fish-habitat relationships defined by regression quantiles. Transactions of the American Fisheries Society 131:86-98.
9. Dunham, J. B., and G. L. Vinyard. 1997. Incorporating stream level variability into analyses of site level fish habitat relationships: some cautionary examples. Transactions of the American Fisheries Society 126:323-329.
10. Fausch, K. D., C. L. Hawks, and M. G. Parsons. 1988. Models that predict standing crop of stream fish from habitat variables (1950-85). U.S. Forest Service General Technical Report PNW-GTR-213.
11. Garshelis, D. L. 2000. Delusions in habitat evaluation: measuring use, selection, and importance. Pages 111-164 in L. Boitani and T. K. Fuller, editors. Research techniques in animal ecology. Columbia University Press, New York, New York, USA.
12. Grace, J. B. 1999. The factors controlling species density in herbaceous plant communities: an assessment. Perspectives in Plant Ecology, Evolution, and Systematics 2:1-28.
13. Grace, J. B. 2001. Difficulties with estimating and interpreting species pools and the implications for understanding patterns of diversity. Folia Geobotanica 36:71-38.
14. Hall, P., and S. Sheather. 1988. On the distribution of a studentized quantile. Journal of the Royal Statistical Society, Series B 50:381-391.
15. He, X., and P. Ng. 1999. Quantile splines with several covariates. Journal of Statistical Planning and Inference 75:343-352.
16. Hurvich, C. M., and C.-L. Tsai. 1990. Model selection for least absolute deviations regression in small samples. Statistics and Probability Letters 9:259-265.
17. Huston, M. A. 2002. Introductory essay: critical issues for improving predictions. Pages 7-21 in J. M. Scott, P. J. Heglund, M. L. Morrison, J. B. Haufler, M. G. Raphael, W. A. Wall, and F. B. Samson, editors. Predicting species occurrences: issues of accuracy and scale. Island Press, Covelo, California, USA.
18. Huston, M. A., L. W. Aarssen, M. P. Austin, B. S. Cade, J. D. Fridley, E. Garnier, J. P. Grime, J. Hodgson, W. K. Lauenroth, K. Thompson, J. H. Vandermeer, and D. A. Wardle. 2000. No consistent effect of plant diversity on productivity. Science 289(5483):1255.
19. Huston, M. A., and A. C. McBride. 2002. Evaluating the relative strengths of biotic versus abiotic controls on ecosystem processes. Pages 47-60 in M. Loreau, S. Naeem, and P. Inchausti, editors. Biodiversity and ecosystem functioning: synthesis and perspectives. Oxford University Press, New York, New York, USA.
20. Kaiser, M. S., P. L. Speckman, and J. R. Jones. 1994. Statistical models for limiting nutrient relations in inland waters. Journal of the American Statistical Association 89:410-423.
21. Koenker, R. 1994. Confidence intervals for regression quantiles. Pages 349-359 in P. Mandl and H. Hušková, editors. Asymptotic statistics. Proceedings of the Fifth Prague Symposium. Physica-Verlag, Heidelberg, Germany.
22. Koenker, R., and K. F. Hallock. 2001. Quantile regression. Journal of Economic Perspectives 15:143-156.
23. Koenker, R., and J. A. F. Machado. 1999. Goodness of fit and related inference processes for quantile regression. Journal of the American Statistical Association 94:1296-1310.
24. Koenker, R., P. Ng, and S. Portnoy. 1994. Quantile smoothing splines. Biometrika 81:673-680.
25. Legendre, P., and L. Legendre. 1998. Numerical ecology. Second English edition. Elsevier Science, Amsterdam, The Netherlands.
26. Legendre, P., et al. 1997. Spatial structure of bivalves in a sandflat: scale and generating processes. Journal of Experimental Marine Biology and Ecology 216:99-128.
27. Lichstein, J. W., T. R. Simons, S. A. Shriner, and K. E. Franzreb. 2002. Spatial autocorrelation and autoregressive models in ecology. Ecological Monographs 72:445-463.
28. Machado, J. A. F. 1993. Robust model selection and M-estimation. Econometric Theory 9:478-493.
29. Morrison, M. L. 2001. A proposed research emphasis to overcome the limits of wildlife-habitat relationship studies. Journal of Wildlife Management 65:613-623.
30. Morrison, M. L., B. G. Marcot, and R. W. Mannan. 1998. Wildlife habitat-relationships: concepts and applications. Second edition. University of Wisconsin Press, Madison, Wisconsin, USA.
31. Neter, J., M. H. Kutner, C. J. Nachtsheim, and W. Wasserman. 1996. Applied linear statistical models. Irwin, Chicago, Illinois, USA.
32. O'Connor, R. J. 2002. The conceptual basis of species distribution modeling: time for a paradigm shift? Pages 25-33 in J. M. Scott, P. J. Heglund, M. L. Morrison, J. B. Haufler, M. G. Raphael, W. A. Wall, and F. B. Samson, editors. Predicting species occurrences: issues of accuracy and scale. Island Press, Covelo, California, USA.
33. Regan, H. M., M. Colyvan, and M. A. Burgman. 2002. A taxonomy and treatment of uncertainty for ecology and conservation biology. Ecological Applications 12:618-628.
34. Rosenbaum, P. R. 1991. Discussing hidden bias in observational studies. Annals of Internal Medicine 115:901-905.
35. Rosenbaum, P. R. 1995. Quantiles in nonrandom samples and observational studies. Journal of the American Statistical Association 90:1424-1431.
36. Rosenbaum, P. R. 1999. Reduced sensitivity to hidden bias at upper quantiles in observational studies with dilated treatment effects. Biometrics 55:560-564.
37. Rotenberry, J. T. 1986. Habitat relationships of shrubsteppe birds: even "good" models cannot predict the future. Pages 217-221 in J. Verner, M. L. Morrison, and C. J. Ralph, editors. Wildlife 2000: modeling habitat relationships of terrestrial vertebrates. University of Wisconsin Press, Madison, Wisconsin, USA.
38. Schmid, B. 2002. The species richness-productivity controversy. Trends in Ecology and Evolution 17:113-114.
39. Stauffer, D. F. 2002. Linking populations and habitats: where have we been? Where are we going? Pages 53-61 in J. M. Scott, P. J. Heglund, M. L. Morrison, J. B. Haufler, M. G. Raphael, W. A. Wall, and F. B. Samson, editors. Predicting species occurrences: issues of accuracy and scale. Island Press, Covelo, California, USA.
40. Terrell, J. W., B. S. Cade, J. Carpenter, and J. M. Thompson. 1996. Modeling stream fish habitat limitations from wedged-shaped patterns of variation in standing stock. Transactions of the American Fisheries Society 125:104-117.
41. Terrell, J. W., and J. Carpenter. 1997. Selected habitat suitability index model evaluations. U.S. Department of Interior, Geological Survey, Information and Technology Report USGS/BRD/1TR-1997-0005.
42. Thomson, J. D., G. Weiblen, B. A. Thomson, S. Alfaro, and P. Legendre. 1996. Untangling multiple factors in spatial distributions: lilies, gophers, and rocks. Ecology 77:1698-1715.
43. Van Horne, B., and J. A. Wiens. 1991. Forest bird habitat suitability models and the development of general habitat models. U.S. Department of Interior, Fish and Wildlife Service, Fish and Wildlife Research Report Number 8.
44. Vardeman, S. B. 1992. What about the other intervals? American Statistician 46:193-197.
45. Wiens, J. A. 1989. The ecology of bird communities. Volume 1. Cambridge Studies in Ecology. Cambridge University Press, Cambridge, UK.