Estimating effects of limiting factors with regression quantiles

Ecology

Volumn 80, Issue 1, 1999, Pages 311-323

  Cade, Brian S ^a   Terrell, James W ^a   Schroeder, Richard L ^a  

^a U S GEOLOGICAL SURVEY   (United States)

Author keywords

Absolute deviations; Limiting factors; Linear models; Quantiles; Rank score tests; Regression; Regression quantiles

Indexed keywords

ANALYTICAL METHOD; ECOLOGY; LIMITING FACTOR; REGRESSION ANALYSIS;

ERYTHRONIUM GRANDIFLORUM; FOSSOR; GEOMYIDAE; GRANDIFLORUM; LILIUM; QUERCUS; THOMOMYS; THOMOMYS TALPOIDES FOSSOR;

EID: 0032923250     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/0012-9658(1999)080[0311:EEOLFW]2.0.CO;2     Document Type: Article

References (50)

1. 1 norm. Communications of the Association for Computing Machinery 17:319-320.
2. 1 Statistical analyses. Elsevier Science (North Holland), Amsterdam, The Netherlands.
3. Bassett, G., and R. Koenker. 1982. An empirical quantile function for linear models with iid errors. Journal of the American Statistical Association 77:407-415.
4. Bassett, G., and R. Koenker. 1986. Strong consistency of regression quantiles and related empirical processes. Econometric Theory 2:191-201.
5. Bilen, C. 1996. Computation of confidence bands for percentile lines in the general linear model. Thesis. University of Wyoming, Laramie, Wyoming, USA.
6. Birkes, D., and Y. Dodge. 1993. Alternative methods of regression. Wiley. New York, New York, USA.
7. Blackburn, T. M., and K. J. Gaston. 1998. Some methodological issues in macroecology. American Naturalist 151: 68-83.
8. Blackburn, T. M., J. H. Lawton, and J. N. Perry. 1992. A method of estimating the slope of upper bounds of plots of body size and abundance in natural animal assemblages. Oikos 65:107-112.
9. Brown, J. H., and B. A. Maurer. 1987. Evolution of species assemblages: effects of energetic constraints and species dynamics on the diversification of the North American avifauna. American Naturalist 130:1-17.
10. Buchinsky, M. 1991. The theory and practice of quantile regression. Dissertation. Harvard University, Cambridge, Massachusetts, USA.
11. _. 1995. Quantile regression, Box-Cox transformation model, and the U.S. wage structure, 1963-1987. Journal of Econometrics 65:109-154.
12. Cade, B. S., and J. D. Richards. 1996. Permutation tests for least absolute deviation regression. Biometrics 52:886-902.
13. Christisen, D. M., and W. H. Kearby. 1984. Mast measurement and production in Missouri (with special reference to acorns). Missouri Department of Conservation Terrestrial Series No. 13.
14. Goldberg, D. E., and S. M. Scheiner. 1993. ANOVA and ANCOVA: field competition experiments. Pages 69-93 in S. M. Scheiner and J. Gurevitch, editors. Design and analysis of ecological experiments. Chapman and Hall, New York, New York, USA.
15. Griffiths, D. 1992. Size, abundance, and energy use in communities. Journal of Animal Ecology 61:307-315.
16. Gutenbrunner, C., and J. Jurečková. 1992. Regression rank scores and regression quantiles. Annals of Statistics 20: 305-330.
17. Gutenbrunner, C., J. Jurečková, R. Koenker, and S. Portnoy. 1993. Tests of linear hypotheses based on regression rank scores. Nonparametric Statistics 2:307-331.
18. He, X. 1997. Quantile curves without crossing. American Statistician 51:186-192.
19. Hubert, W. A., T. D. Marwitz, K. G. Gerow, N. A. Binns, and R. W. Wiley. 1996. Estimation of potential maximum biomass of trout in Wyoming streams to assist management decisions. North American Journal of Fisheries Management 16:821-829.
20. 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.
21. Hušková, M. 1994. Some sequential procedures based on regression rank scores. Nonparametric Statistics 3:285-298.
22. Jarvis, P. G. 1976. The interpretation of the variations in leaf water potential and stomatal conductance found in canopies in the field. Philosophy Transactions of Royal Society of London B. 273:593-610.
23. Johnson, D. J., M. C. Hammond, T. L. McDonald, C. L. Nustad, and M. D. Schwartz. 1989. Breeding canvasbacks: a test of a habitat model. Prairie Naturalist 21:193-202.
24. 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.
25. Koenker, R. 1994. Confidence intervals for regression quantiles. Pages 349-359 in P. Mandl and M. Hušková, editors. Asymptotic statistics: Proceedings of the Fifth Prague Symposium. Physica-Verlag, Heidelberg, Germany.
26. Koenker, R., and G. Bassett. 1978. Regression quantiles. Econometrica 46:33-50.
27. Koenker, R., and G. Bassett. 1982. Robust tests for heteroscedasticity based on regression quantiles. Econometrica 50:43-61.
28. Koenker, R., and V. d'Orey. 1987. Computing regression quantiles. Applied Statistics 36:383-393.
29. Koenker, R., and V. d'Orey. 1994. A remark on Algorithm AS229: computing dual regression quantiles and regression rank scores. Applied Statistics 43:410-414.
30. Koenker, R., P. Ng, and S. Portnoy. 1994. Quantile smoothing splines. Biometrika 81:673-680.
31. Koenker, R., and B. J. Park. 1996. An interior point algorithm for nonlinear quantile regression. Journal of Econometrics 71:265-283.
32. Koenker, R., and S. Portnoy. 1996. Quantile regression. University of Illinois at Urbana-Champaign, College of Commerce and Business Administration, Office of Research Working Paper 97-0100.
33. Mailer, R. A. 1990. Some aspects of a mixture model for estimating the boundary of a set of data. Journal du Conseil International pour l'Exploration de la Mer 46:140-147.
34. Maller, R. A., E. S. de Boer, L. M. Joli, D. A. Anderson, and J. P. Hinde. 1983. Determination of the maximum foregut volume of western rock lobsters (Panulirus cygnus) from field data. Biometrics 39:543-551.
35. Mielke, P. W., Jr., and K. J. Berry. 1983. Asymptotic clarifications, generalizations, and concerns regarding an extended class of matched pairs tests based on powers of ranks. Psychometrika 48:483-485.
36. Neter, J., M. H. Kutner, C. J. Nachtsheim, and W. Wasserman. 1996. Applied linear statistical models. Fourth edition. Richard D. Irwin, Homewood, Illinois, USA.
37. Portnoy, S. 1991. Asymptotic behavior of the number of regression quantile breakpoints. SIAM Journal of Science and Statistical Computing 12:867-883.
38. Powell, J. L. 1986. Censored regression quantiles. Journal of Econometrics 32:143-155.
39. Rabinowitz, D., J. K. Rapp, P. M. Dixon, and A. T. Khieu. 1985. Separating structural and developmental variability in growth rate estimates for Andropogon scoparius Michx. Bulletin of the Torrey Botanical Club 112:403-408.
40. Schroeder, R. L., and L. D. Vangilder. 1997. Tests of wildlife habitat models to evaluate oak mast production. Wildlife Society Bulletin 25:639-646.
41. Sork, V. L., J. Bramble, and O. Sexton. 1993. Ecology of mast-fruiting in three species of North American deciduous oaks. Ecology 74:528-541.
42. 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.
43. 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.
44. Tracy, D. S., and I. H. Tajuddin. 1986. Empirical power comparisons of two MRPP rank tests. Communications in Statistics - Theory and Methods 15:551-570.
45. Vanables, W. N., and B. D. Ripley. 1994. Modern applied statistics with S-Plus. Springer-Verlag, New York, New York, USA.
46. Welsh, A. H., R. J. Carroll, and D. Rupert. 1994. Fitting heteroscedastic regression models. Journal of American Statistical Association 89:100-116.
47. White, G. C., and R. E. Bennetts. 1996. Analysis of frequency count data using the negative binomial distribution. Ecology 77:2549-2557.
48. Zhou, K. Q., and S. L. Portnoy. 1996. Direct use of regression quantiles to construct confidence sets in linear models. Annals of Statistics 24:287-306.
49. Zhou, K. Q., and S. L. Portnoy. 1998. Statistical inference on heteroscedastic models based on regression quantiles. Nonparametric Statistics 9:239-260.
50. Zimmerman, G. W., H. Goetz, and P. W. Mielke, Jr. 1985. Use of an improved statistical method for group comparisons to study effects of prairie fire. Ecology 66:606-611.