Constrained additive ordination

Ecology

Volumn 87, Issue 1, 2006, Pages 203-213

  Yee, Thomas W ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Canonical correspondence analysis; Constrained ordination; Direct gradient analysis; Environmental gradients; Generalized additive models; Latent variables; Nonparametric regression; Smoothing; Species environmental relationships; Species packing model

Indexed keywords

COMMUNITY COMPOSITION; COMMUNITY RESPONSE; ENVIRONMENTAL GRADIENT; ORDINATION; SPIDER;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; ECOLOGY; ENVIRONMENT; METHODOLOGY; NOMENCLATURE; POISSON DISTRIBUTION; REGRESSION ANALYSIS; SPIDER; TREE;

ANIMALS; ECOLOGY; ENVIRONMENT; MODELS, BIOLOGICAL; POISSON DISTRIBUTION; REGRESSION ANALYSIS; SPIDERS; TERMINOLOGY; TREES;

AUSTRALASIA; NEW ZEALAND;

ARANEAE;

EID: 33644844977     PISSN: 00129658     EISSN: 00129658     Source Type: Journal    
DOI: 10.1890/05-0283     Document Type: Article

References (33)

1. Anderson, T. W. 1951. Estimating linear restrictions on regression coefficients for multivariate normal distributions. Annals of Mathematical Statistics 22:327-351.
2. Breiman, L., J. H. Friedman, R. A. Olshen, and C. J. Stone, editors. 1984. Classification and regression trees. Wadsworth and Brooks/Cole, Monterey, California, USA.
3. Chambers, J. M., and T. Hastie, editors. 1993. Statistical models in S. Chapman and Hall, New York, New York, USA.
4. Christiansen, F. B., and T. M. Fenchel. 1977. Theories of populations in biological communities. Springer-Verlag, Berlin, Germany.
5. Cleveland, W. S., E. Grosse, and W. M. Shyu. 1993. Local regression models. Pages 309-376 in J. M. Chambers and T. Hastie, editors. Statistical models in S. Chapman and Hall, New York, New York, USA.
6. De'ath, G. 1999. Principal curves: a new technique for indirect and direct gradient analysis. Ecology 80:2237-2253.
7. De'ath, G., and K. E. Fabricius. 2000. Classification and regression trees: a powerful yet simple technique for ecological data analysis. Ecology 81:3178-3192.
8. Friedman, J. H., and W. Stuetzle. 1981. Projection pursuit regression. Journal of the American Statistical Association 76:817-823.
9. Gauch, H. G., G. B. Chase, and R. H. Whittaker. 1974. Ordinations of vegetation samples by Gaussian species distributions. Ecology 55:1382-1390.
10. Gause, G. F. 1930. Studies of the ecology of the Orthoptera. Ecology 11:307-325.
11. Goodman, L. A. 1981. Association models and canonical correlation in the analysis of cross-classifications having ordered categories. Journal of the American Statistical Association 76:320-334.
12. Gower, J. C. 1987. Introduction to ordination techniques. Pages 3-64 in P. Legendre and L. Legendre, editors. Developments in numerical ecology. Springer-Verlag, Berlin, Germany.
13. Green, P. J., and B. W. Silverman. 1994. Nonparametric regression and generalized linear models: a roughness penalty approach. Chapman and Hall, London, UK.
14. Hastie, T., and W. Stuetzle. 1989. Principal curves. Journal of the American Statistical Association 84:502-516.
15. Hastie, T. J., and R. J. Tibshirani. 1990. Generalized additive models. Chapman and Hall, London, UK.
16. Heegaard, E. 2002. The outer boarder and central border for species-environmental relationships estimated by non-parametric generalized additive models. Ecological Modelling 157:131-139.
17. Kooijman, S. A. L. M. 1977. Species abundance with optimum relations to environmental factors. Annals of System Research 6:123-138.
18. Leathwick, J. R. 2002. Intra-generic competition among Nothofagus in New Zealand's primary indigenous forests. Biodiversity and Conservation 11:2177-2187.
19. Leathwick, J. R., and D. Whitehead. 2001. Soil and atmospheric water deficits and the distribution of New Zealand's indigenous tree species. Functional Ecology 15:233-242.
20. MacArthur, R., and R. Levins. 1967. The limiting similarity, convergence, and divergence of coexisting species. American Naturalist 101:377-385.
21. Odum, E. P. 1971. Fundamentals of ecology. Third edition. W. B. Saunders Company, Philadelphia, Pennsylvania, USA.
22. Oksanen, J., and P. R. Minchin. 2002. Continuum theory revisited: what shape are species responses along ecological gradients? Ecological Modelling 157:119-129.
23. Palmer, M. 1993. Putting things in even better order: the advantages of canonical correspondence analysis. Ecology 74:2215-2230.
24. Schimek, M. G., editor. 2000. Smoothing and regression: approaches, computation, and application. Wiley, New York, New York, USA.
25. ter Braak, C. J. F. 1986. Canonical correspondence analysis: a new eigenvector technique for multivariate direct gradient analysis. Ecology 67:1167-1179.
26. ter Braak, C. J. F. 1996. Unimodal models to relate species to environment. DLO-Agricultural Mathematics Group, Wageningen, The Netherlands.
27. ter Braak, C. J. F., and I. C. Prentice. 1988. A theory of gradient analysis. Advances in Ecological Research 18:271-317.
28. van der Ploeg, R. R., W. Bohm, and M. B. Kirkham. 1999. On the origin of the theory of mineral nutrition of plants and the law of the minimum. Soil Science Society of America Journal 63:1055-1062.
29. Venables, W. N., and B. D. Ripley. 2002. Modern applied statistics with S. Fourth edition. Springer-Verlag, New York, New York, USA.
30. Yee, T. W. 2004. A new technique for maximum-likelihood canonical Gaussian ordination. Ecological Monographs 74:685-701.
31. Yee, T. W., and T. J. Hastie. 2003. Reduced-rank vector generalized linear models. Statistical Modelling 3:15-41.
32. Yee, T. W., and N. D. Mitchell. 1991. Generalized additive models in plant ecology. Journal of Vegetation Science 2:587-602.
33. Zhu, M., T. J. Hastie, and G. Walther. 2005. Constrained ordination analysis with flexible response functions. Ecological Modelling 187:524-536.