Consistency between ordination techniques and diversity measurements: Two strategies for species occurrence data

Ecology

Volumn 84, Issue 1, 2003, Pages 242-251

  Pélissier, Raphaël ^a   Couteron, Pierre ^b   Dray, Stéphane ^c   Sabatier, Daniel ^a  

^a UMR AMAP   (France)

^b AGROPARISTECH   (France)

^c UNIVERSITÉ LYON 1   (France)

Author keywords

Inertia decomposition; Multivariate analysis; Simpson diversity; Species occurrence table; Species richness; Species weight; Species environment relationships; and diversity

Indexed keywords

COMMUNITY COMPOSITION; CORRESPONDENCE ANALYSIS; ORDINATION; SPECIES DIVERSITY; SPECIES OCCURRENCE; STATISTICAL ANALYSIS;

EID: 0041313948     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/0012-9658(2003)084[0242:CBOTAD]2.0.CO;2     Document Type: Article

References (43)

1. Begon, M., J. L. Harper, and C. R. Townsend. 1996. Ecology: individuals, populations and communities. Blackwell Science, Oxford, UK.
2. Boggan, J., V. Funk, C. Kelloff, M. Hoff, G. Cremers, and C. Feuillet. 1997. Checklist of the plants of the Guianas (Guyana, Surinam, French Guiana). National Museum of Natural History, Smithsonian Institution, Washington, D.C., USA.
3. Cochran, W. G. 1977. Sampling techniques. Wiley, New York, New York, USA.
4. Collinet, F. 1997. Essai de regroupement des principales espèces structurantes d'une forêt dense humide d'après l'analyse de leur répartition spatiale (Forêt de Paracou, Guyane). Thèse de Doctorat. Université Claude Bernard, Lyon, France.
5. Condit, R., S. P. Hubell, J. V. LaFrankie, R. Sukumar, N. Manokaran, R. B. Foster, and P. S. Ashton. 1996. Species-area and species-individual relationships for tropical trees: a comparison of three 50-ha plots. Journal of Ecology 84: 549-562.
6. Davies; P. T., and M. K.-S. Tso. 1982. Procedures for reduced-rank regression. Applied Statistics 31:244-255.
7. Dolédec, S., and D. Chessel. 1989. Rythmes saisonniers et composantes stationnelles en milieu aquatique. II. Prise en compte et élimination d'effets dans un tableau faunistique. Acta Oecologica 10:207-232.
8. Dolédec, S., D. Chessel, and C. Gimaret-Carpentier. 2000. Niche separation in community analysis: a new method. Ecology 81:2914-2927.
9. Dolédec, S., D. Chessel, C. J. F. ter Braak, and S. Champely. 1996. Matching species traits to environmental variables: a new three-table ordination method. Environmental and Ecological Statistics 3:143-166.
10. Escoufier, Y. 1987. The duality diagram: a means of better practical applications. Pages 139-156 in P. Legendre and L. Legendre, editors. Development in numerical ecology. Springer-Verlag, Berlin, Germany.
11. Gauch, H. G., Jr. 1973. The relationship between sample similarity and ecological distance. Ecology 54:618-622.
12. Gauch, H. G., Jr., and R. H. Whittaker. 1972. Coenocline simulation. Ecology 53:446-451.
13. Gimaret-Carpentier, C., D. Chessel, and J.-P. Pascal. 1998a. Non-symmetric correspondence analysis: an alternative for species occurrences data. Plant Ecology 138:97-112.
14. Gimaret-Carpentier, C., R. Pélissier, J.-P. Pascal, and F. Houllier. 1998b. Sampling strategies for the assessment of tree species diversity. Journal of Vegetation Science 9:161-172.
15. Greenacre, M. J. 1984. Theory and applications of correspondence analysis. Academic Press, London, UK.
16. Greenberg, J. H. 1956. The measurement of linguistic diversity. Language 32:109-115.
17. Guillaume, J. 1992. Cartographie du sol sous forêt naturelle en Guyane française. Influence des caractères pédologiques sur la structure de la forêt: étude préliminaire. Mémoire de DEA, ENSA, Rennes, France.
18. Hill, M. O. 1973. Diversity and evenness: a unifying notation and its consequences. Ecology 54:427-432.
19. Hill, M. O. 1974. Correspondence analysis: a neglected multivariate method. Journal of the Royal Statistical Society 23:340-354.
20. Krebs, C. J. 1994. Ecology: the experimental analysis of distribution and abundance. Harper Collins, New York, New York, USA.
21. Lande, R. 1996. Statistics and partitioning of species diversity, and similarity among multiple community. Oikos 76: 5-13.
22. Lauro, N., and L. D'Ambra. 1984. L'analyse non symétrique des correspondances. Pages 433-446 in E. Diday, editor. Data analysis and informatics. III. Elsevier, Amsterdam, The Netherlands.
23. Legendre, P., and L. Legendre. 1998. Numerical ecology. Elsevier, Amsterdam, The Netherlands.
24. Magurran, A. E. 1988. Ecological diversity and its measurement. Croom Helm, London, UK.
25. Manly, B. J. F. 1991. Randomization and Monte Carlo methods in biology. Chapman and Hall, London, UK.
26. Méot, 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.
27. Patil, G. P., and C. Taillie. 1982. Diversity as a concept and its measurement. Journal of the American Statistical Association 77:548-561.
28. Pélissier, R., S. Dray, and D. Sabatier. 2002. Within-plot relationships between tree species occurrences and hydrological soil constraints: an example in French Guiana investigated through canonical correlation analysis. Plant Ecology 162, in press.
29. Pielou, E. C. 1969. An introduction to mathematical ecology. John Wiley and Sons, New York, New York, USA.
30. Rao, C. R. 1964. The use and interpretation of principal component analysis in applied research. Sankhya A26:329-357.
31. Ricklefs, E. 1990. Ecology. W. H. Freeman, New York, New York, USA.
32. Sabatier, D., M. Grimaldi, M.-F. Prévost, J. Guillaume, M. Godron, M. Dosso, and P. Curmi. 1997. The influence of soil cover organization on the floristic and structural heterogeneity of a Guianan rain forest. Plant Ecology 131:81-108.
33. Sabatier, R. 1984. Quelques généralisations de l'analyse en composantes principales de variables instrumentales. Statistique et Analyse de Données 9:75-103.
34. Sabatier, R., J.-D. Lebreton, and D. Chessel. 1989. Principal component analysis with instrumental variables as a tool for modelling composition data. Pages 341-352 in R. Coppi and S. Bolasco, editors. Multiway data analysis. Elsevier Science, Amsterdam, The Netherlands.
35. Shannon, C. E. 1948. A mathematical theory of communication. Bell System Technical Journal 27:379-423.
36. Simpson, E. H. 1949. Measurement of diversity. Nature 163: 688.
37. Ter Braak, C. J. F. 1983. Principal component biplots and alpha and beta diversity. Ecology 64:454-462.
38. Ter Braak, C. J. F. 1986. Canonical correspondence analysis: a new eigenvector technique for multivariate direct gradient analysis. Ecology 67:1167-1179.
39. Ter Braak, C. J. F. 1987. The analysis of vegetation-environment relationships by canonical correspondence analysis. Vegetatio 69:69-77.
40. Ter Braak, C. J. F. 1988. Partial canonical correspondence analysis. Pages 551-558 in H. H. Bock, editor. Classification and related methods of data analysis. North Holland Press, Amsterdam, The Netherlands.
41. Thioulouse, J., D. Chessel, S. Dolédec, and J.-M. Olivier. 1997. ADE-4: a multivariate analysis and graphical display software. Statistics and Computing 7:75-83.
42. Whittaker, C. B. 1972. Evolution and measurement of species diversity. Taxon 21:213-251.
43. Wollenberg, A. L. van den. 1977. Redundancy analysis. An alternative for canonical correlation analysis. Psychometrika 42:207-219.