Continuum theory revisited: What shape are species responses along ecological gradients?

Ecological Modelling

Volumn 157, Issue 2-3, 2002, Pages 119-129

  Oksanen, Jari ^a   Minchin, Peter R ^b  

^a UNIVERSITY OF OULU   (Finland)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Beta response function; Gaussian response function; Gradient analysis

Indexed keywords

COMMUNITY ECOLOGY; COMMUNITY RESPONSE; ENVIRONMENTAL GRADIENT;

TRACHEOPHYTA;

EID: 0037202450     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(02)00190-4     Document Type: Article

References (43)

1. Austin, M.P., 1976. On non-linear species responses models in ordination. Vegetatio 33, 33-41.
2. Austin, M.P., 1980. Searching for a model for use in vegetation analysis. Vegetatio 42, 11-21.
3. Austin, M.P., 1999. On silent clash of paradigms: Some inconsistencies in community ecology. Oikos 86, 170-178.
4. Austin, M.P., 2002. Spatial prediction of species distribution: An interface between ecological theory and statistical modelling. Ecol. Model. 157 (2-3), 101-118.
5. Austin, M.P., Smith, T.M., 1989. A new model for the continuum concept. Vegetatio 83, 35-47.
6. Austin, M.P., Gaywood, M.J., 1994. Current problems of environmental gradients and species response curves in relation to continuum theory. J. Veg. Sci. 5, 473-482.
7. Austin, M.P., Meyers, J.A., 1996. Current approaches to modelling the environmnetal niche of eucalypts: Implications for management of forest biodiversity. Forest Ecol. Manage. 85, 95-106.
8. Austin, M.P., Nicholls, A.O., 1997. To fix or not to fix the species limits, that is the ecological question: Response to Jari Oksanen. J. Veg. Sci. 8, 743-748.
9. Austin, M.P., Nicholls, A.O., Margules, C.R., 1990. Measurement of the realized qualitative niche: Environmental niches of five Eucalyptus species. Ecol. Monogr. 60, 161-177.
10. Austin, M.P., Nicholls, A.O., Doherty, M.D., Meyers, J.A., 1994. Determining species response functions to an environmental gradient by means of a β-function. J. Veg. Sci. 5, 215-228.
11. Begon, M., Harper, J.L., Townsend, C.R., 1996. Ecology: Individuals, Populations and Communities, Third Ed.. Blackwell.
12. Bio, A.M.F., Alkemade, R., Barendregt, A., 1998. Determining alternative models for vegetation response analysis: A non-parametric approach. J. Veg. Sci. 9, 5-16.
13. Dobson, A.J., 1983. An Introduction to Statistical Modelling. Chapman and Hall.
14. Ejrnæs, R., 2000. Can we trust gradients extracted by detrended correspondence analysis. J. Veg. Sci. 11, 565-572.
15. Gauch, H.G., Jr, Whittaker, R.H., 1972. Coenocline simulation. Ecology 53, 446-451.
16. Gu, C., Wahba, G., 1991. Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method. SIAM J. Sci. Stat. Comp. 12, 383-398.
17. Guisan, A., Edwards, T.C., Hastie, T., 2002. Generalized linear and generalized additive models in studies of species distributions: Setting the scene. Ecol. Model. 157 (2-3), 89-100.
18. Hastie, T.J., Tibshirani, R.J., 1990. Generalized Additive Models. Chapman and Hall, London, p. 92.
19. Heegaard, E., 2002. The outer border and central border for species environmental relationships estimated by non-parametric generalized additive models. Ecol. Model. 157 (2-3), 131-139.
20. Heegaard, E., Hangelbroek, H.H., 1999. The distribution of Ulota crispa in relation to both dispersal- and habitat-related factors. Lindbergia 24, 65-74.
21. Huisman, J., Olff, H., Fresco, L.F.M., 1993. A hierarchical set of models for species response analysis. J. Veg. Sci. 4, 37-46.
22. Ihaka, R., Gentleman, R., 1996. R: A language for data analysis and graphics. J. Comput. Graph. Stat. 5, 299-314.
23. Jongman, R.H., ter Braak, C.J.F., van Tongeren, O.F.R., 1987. Data Analysis in Community and Landscape Ecology, Pudoc, Wageningen.
24. Kay, R., Little, S., 1987. Transformations of the explanatory variables in the logistic regression model for binary data. Biometrika 74, 495-501.
25. Leathwick, J.R., 1998. Are New Zealand's Nothofagus species in equilibrium with their environment. J. Veg. Sci. 9, 719-732.
26. Lehmann, A., Overton, J.M., Leathwick, J.R., 2002. Generalized regression analysis and apatial predictions. Ecol. Model. 157 (2-3), 187-205.
27. McCullagh, P., Nelder, J.A., 1989. Generalized Linear Models. Chapman and Hall, London, p. 125.
28. Minchin, P.R., 1987a. An evaluation of relative robustness of techniques for ecological ordinations. Vegetatio 69, 89-107.
29. Minchin, PR., 1987b. Simulation of multidimensional community patterns: Towards a comprehensive model. Vegetatio 71, 145-156.
30. Minchin, P.R., 1989. Montane vegetation of the Mt. Field massif, Tasmania: A test of some hypotheses about properties of community patterns. Vegetatio 83, 97-110.
31. Økland, R.H., 1986. Rescaling of ecological gradients. The effect of scale on symmetry of species response curves. Nordic J. Bot. 6, 671-677.
32. Oksanen, J., 1997. Why the beta-function cannot be used to estimate skewness of species responses. J. Veg. Sci. 8, 147-152.
33. Oksanen, J., Läärä, E., Huttunen, P., Meriläinen, J., 1988. Estimation of pH optima and tolerances of diatoms in lake sediments by the methods of weighted averaging, least-squares and maximum likelihood, and their use for the prediction of lake acidity. J. Paleolimnol. 1, 39-49.
34. Oksanen, J., Läärä, E., Meriläinen, J., Warner, B.G., 2001. Confidence intervals for the optimum in the Gaussian response function. Ecology 82, 1191-1197.
35. ter Braak, C.J.F., 1985. Correspondence analysis of incidence and abundance data: Properties in terms of a unimodal response model. Biometrics 41, 859-873.
36. ter Braak, C.J.F., Barendregt, L.G., 1986. Weighted averaging of species indicator values: Its efficiency in environmental calibration. Math. Biosci. 78, 57-72.
37. ter Braak, C.J.F., Looman, C.W.N., 1986. Weighted averaging, logistic regression and the Gaussian response model. Vegetatio 65, 3-11.
38. Venables, W.M., Ripley, B.D., 1999. Modern Applied Statistics with S-PLUS, Third Ed.. Springer, Heidelberg.
39. Whittaker, R.H., 1978. Direct gradient analysis. In: Whittaker, R.H. (Ed.), Ordination of Plant Communities. Junk, The Hague, pp. 7-50.
40. Wood, S.N., 2000. Modelling and smoothing parameter estimation with multiple quadratic penalties. J. Roy. Stat. Soc. B62, 413-428.
41. Wood, S.N., Augustin, N.H., 2002. Improving GAMs for environmental modelling using GCV and penalized regression splines. Ecol. Mod., This Volume, in this issue.
42. Yee, T.W., Mitchell, N.D., 1991. Generalized additive models in plant ecology. J. Veg. Sci. 2, 587-602.
43. Zaniewski, A.E., Lehmann, A., Overton, J.M., 2002. Predicting species distribution using presence-only data: A case study of native New Zealand ferns. Ecol. Model. 157 (2-3), 259-278.