Direct multi-scale ordination with canonical correspondence analysis

Ecology

Volumn 85, Issue 2, 2004, Pages 342-351

  Wagner, Helene H ^a,b  

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

^b SWISS FEDERAL RESEARCH INSTITUTE WSL   (Switzerland)

Author keywords

Canonical correspondence analysis; Chi square distance; Gradient analysis; Multi scale ordination; Multivariate geostatistics; Residual analysis; Scale; Stationarity; Variogram matrix

Indexed keywords

CANONICAL ANALYSIS; COMMUNITY STRUCTURE; CORRESPONDENCE ANALYSIS; ORDINATION; SPATIAL ANALYSIS;

ACARI; ORIBATIDA;

EID: 1542379549     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/02-0738     Document Type: Article

References (32)

1. Addicott, J. F., J. M. Aho, M. F. Antolin, D. K. Padilla, J. S. Richardson, and D. A. Soluk. 1987. Ecological neighborhoods - scaling environmental patterns. Oikos 49:340-346.
2. Borcard, D., and P. Legendre. 1994. Environmental control and spatial structure in ecological communities: an example using Oribatid mites (Acari, Oribatei). Environmental and Ecological Statistics 1:37-53.
3. Borcard, D., P. Legendre, and P. Drapeau. 1992. Partialling out the spatial component of ecological variation. Ecology 73:1045-1055.
4. De'ath, G. 1999. Principal curves: a new technique for indirect and direct gradient analysis. Ecology 80:2237-2253.
5. Fortin, M.-J. 1999. Spatial statistics in landscape ecology. Pages 253-279 in J. M. Klopatek and R. H. Gardner, editors. Landscape ecological analysis: issues and applications. Springer-Verlag, New York, New York, USA.
6. Gauch, H. G. 1982. Multivariate analysis in community ecology. Cambridge University Press, Cambridge, UK.
7. Goovaerts, P. 1992. Factorial kriging analysis - a useful tool for exploring the structure of multivariate spatial soil information. Journal of Soil Science 43:597-619.
8. Goovaerts, P. 1994. Study of spatial relationships between two sets of variables using multivariate geostatistics. Geoderma 62:93-107.
9. Goovaerts, P. 1999. Geostatistics in soil science: state-of-the-art and perspectives. Geoderma 89:1-45.
10. Henley, S. 2001. The importance of being stationary. Earth Science Computer Applications 16:1-3.
11. Jongman, R. H. G., C. J. F. ter Braak, and O. F. R. van Tongeren. 1995. Data analysis in community and landscape ecology. Cambridge University Press, Cambridge, UK.
12. Legendre, P. 1993. Spatial autocorrelation: trouble or new paradigm? Ecology 74:1659-1673.
13. Legendre, P., and M.-J. Fortin. 1989. Spatial pattern and ecological analysis. Vegetatio 80:107-138.
14. Legendre, P., and L. Legendre. 1998. Numerical ecology. Elsevier, Amsterdam, The Netherlands.
15. Makarenkov, V., and P. Legendre. 2002. Nonlinear redundancy analysis and canonical correspondence analysis based on polynomial regression. Ecology 83:1146-1161.
16. Matheron, G. 1982. Pour une analyse krigeante des données régionalisées. Centre de Géostatistique, Fontainebleau, France.
17. Meot, A., P. Legendre, and D. Borcard. 1998. Partialling out the spatial component of ecological variation: questions and propositions in the linear modelling framework. Environmental and Ecological Statistics 5:1-27.
18. Monestiez, P., and M. Goulard. 1997. Analysing spatial genetic structures by multivariate geostatistics: study of wild populations of perennial ryegrass (Lolium perenne). Pages 1197-1208 in E. Y. Baafi and N. A. Schofield, editors. Geostatistics Wollongong '96. Kluwer, Dordrecht, The Netherlands.
19. Myers, D. E. 1989. "To be or not to be . . . stationary - That is the question." Mathematical Geology 21(3):347-362.
20. Noy-Meir, I., and D. Anderson. 1971. Multiple pattern analysis or multiscale ordination: towards a vegetation hologram. Pages 207-232 in G. P. Patil, E. C. Pielou, and E. W. Water, editors. Statistical ecology: populations, ecosystems, and systems analysis. Pennsylvania State University Press, University Park, Pennsylvania, USA.
21. Oksanen, J., and P. R. Minchin. 1997. Instability of ordination results under changes in input data order: explanations and remedies. Journal of Vegetation Science 8:447-454.
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. Rossi, R. E., D. J. Mulla, A. G. Journel, and E. H. Franz. 1992. Geostatistical tools for modeling and interpreting ecological spatial dependence. Ecological Monographs 62: 277-314.
24. Tausch, R. J., D. A. Charlet, D. A. Weixelman, and D. C. Zamudio. 1995. Patterns of ordination and classification instability resulting from changes in input data order. Journal of Vegetation Science 6:897-902.
25. 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.
26. ter Braak, C. J. F., and I. C. Prentice. 1988. A theory of gradient analysis. Advances in Ecological Research 18: 271-317.
27. Tilman, D., and P. Kareiva. 1997. Spatial ecology: the role of space in population dynamics and interspecific interactions. Princeton University Press, Princeton, New Jersey, USA.
28. Ver Hoef, J. M., and D. C. Glenn-Lewin. 1989. Multiscale ordination - a method for detecting pattern at several scales. Vegetatio 82:59-67.
29. Wackernagel, H. 1998. Multivariate geostatistics. Second, completely revised edition. Springer, Berlin, Germany.
30. Wagner, H. H. 2003. Spatial covariance in plant communities: integrating ordination, variogram modeling, and variance testing. Ecology 84:1045-1057.
31. Whittaker, R. H. 1967. Gradient analysis of vegetation. Biological Reviews of the Cambridge Philosophical Society 42:207-264.
32. Wiens, J. A. 1989. Spatial scaling in ecology. Functional Ecology 3:385-397.