On detrending in correspondence analysis and principal component analysis

Ecoscience

Volumn 6, Issue 1, 1999, Pages 110-116

  Karadzic, Branko ^a   Saso Jovanovic, Valentina ^a   Jovanovic, Zorica ^a   Karadzic, Dusanka ^a  

^a Research Sinisa Stankovic

Author keywords

Correspondence analysis; Curvilinear distortion; Detrending; Generalized standardization procedure; Principal components analysis

Indexed keywords

CORRESPONDENCE ANALYSIS; DETRENDING; PRINCIPAL COMPONENT ANALYSIS;

EID: 0032741926     PISSN: 11956860     EISSN: None     Source Type: Journal    
DOI: 10.1080/11956860.1999.11952201     Document Type: Article

References (38)

1. Austin, M. P., 1976a. On non-linear species response models in ordination. Vegetatio, 33: 33-41.
2. Austin, M. P., 1976b. Performance of four ordination techniques assuming three different non-linear species response models. Vegetatio, 33: 43-49.
3. Austin, M. P., 1985. Continuum concept, ordination methods and niche theory. Annual Review of Ecology and Systematics, 16: 39-61.
4. Austin, M. P., 1987. Models for the analysis of species' response to environmental gradients. Vegetatio, 69: 35-45.
5. Austin, M. P., & I. Noy-Meir, 1971. The problem of non-linearity in ordination: Experiments with two-gradient models. Journal of Ecology, 59: 763-774.
6. Bradfield, G. E., & N. C. Kenkel, 1987. Nonlinear ordination using flexible shortest path adjustment of ecological distances. Ecology, 68: 750-753.
7. Beals, E. W., 1973. Ordination: Mathematical elegance and ecological naïveté. Journal of Ecology, 61: 23-35.
8. Dale, M. B., 1975. On objectives of methods of ordination. Vegetatio, 30: 15-32.
9. Digby, P. G. H. & R. A. Kempton, 1987. Muitivariate Analysis of Ecological Communities. Chapman and Hall, London.
10. Faith, D. P., R. R. Minchin & L. Belbin, 1987. Compositional dissimilarity as a robust measure of ecological distance. Vegetatio, 69: 57-68.
11. Fasham, M. J. R., 1977. A comparison of non-metric multidimensional scaling, principal components analysis and reciprocal averaging for the ordination of simulated coenoclines and coenoplanes. Ecology, 58: 551-561.
12. Gauch, H. G., 1973. The relationship between sample similarity and ecological distance. Ecology, 54: 618-622.
13. Gauch, H. G., 1982. Muitivariate Analysis in Community Ecology. Cambridge University Press, Cambridge.
14. Gauch, H. G.& R. H. Whittaker, 1972. Comparison of ordination techniques. Ecology, 53: 868-875.
15. Gauch H. G. & W. M. Scruggs, 1979. Variants of polar ordination. Vegetatio, 40: 147-153.
16. Gauch, H. G., R. H. Whittaker & T. R. Wentworth, 1977. A comparative study of reciprocal averaging and other ordination techniques. Journal of Ecology, 65: 157-174.
17. Hill, M. O., 1973. Reciprocal averaging: An eigenvector method of ordination. Journal of Ecology, 61: 237-249.
18. Hill, M. O. 1979. DECORANA: A FORTRAN Program for Detrended Correspondence Analysis and Reciprocal Averaging. Cornell University, Ithaca, New York.
19. Hill, M. O. & H. G. Gauch, 1980. Detrended correspondence analysis, an improved ordination technique. Vegetatio, 42: 47-58.
20. Jackson, D. A. & K. M. Somers, 1991. Putting things in order: The ups and downs of detrended correspondence analysis. American Naturalist, 137: 704-712.
21. Karadzic, B. & R. Popovic, 1994. A generalized standardization in ecological ordination: Tests with principal components analysis. Journal of Vegetation Science, 5: 259-262.
22. Karadzic, B., V. Saso-Jovanovic, Z. Jovanovic, R. & Popovic 1997. "FLORA", a database and software for floristic and vegetation analyses. Pages 69-72 in I. Tsekos & M. Moustakas (eds.) Progress in botanical research. Klumer Academic publishers, Dodrecht.
23. Kenkel, N. C. & L. Orloci, 1987. Applying metric and nonmetric multidimensional scaling to ecological studies: Some new results. Ecology, 67: 919-928.
24. Kershaw, K. A. & J. H. Looney, 1985. Quantitative and Dynamic Plant Ecology. Arnold, London.
25. Minchin, P., 1987a. Simulation of multidimensional community patterns: Towards a comprehensive model. Vegetatio, 71: 145-156.
26. Minchin, P. R., 1987b. An evaluation of relative robustness of techniques for ecological ordination. Vegetatio, 69: 89-107.
27. Noy-Meir, I. & M. P. Austin, 1970. Principal component analysis and simulated vegetational data. Ecology, 51: 551-552.
28. Noy-Meir, I., D. Walker & W. T. Williams, 1975. Data transformations in ecological ordination. II. On the meaning of data standardization. Journal of Ecology, 63: 779-800.
29. Orloci, L., 1974. On information flow in ordination. Vegetatio, 29: 11-16.
30. Peet, R. K., J. S. Knox, J. S. Case & R. B. Allen, 1988. Putting things in order: The advantages of detrended correspondence analysis. American Naturalist, 131: 924-934.
31. Pilou, E. C., 1984. Interpretation of ecologicla data. Primer of ordiantion and classification. Wiley-Interscience, New York.
32. Swan, J. M. A., 1970. An examination of some ordination problems by use of simulated vegetational data. Ecology, 51: 89-102.
33. ter Braak, C. J. F., 1987. Ordination. R. H. G. Pages 91-173 in Jongman, C. J. F. ter Braak & O. F. R. van Tongeren (ed.), 1987. Data analysis in community and landscape ecology. Pudoc, Wageningen.
34. ter Braak, C. J. F., 1988. CANOCOO, a FORTRAN program for canonical community ordination by partial detrended canonical correspondence analysis, principal component analysis and redundancy analysis. TNO Institute of Applied Computer Science, Wageningen.
35. Wartenberg, D., S. Ferson, & F. J. Rohlf, 1987. Putting things in order: A critique of detrended correspondence analysis. American Naturalist, 129: 434-448.
36. Whittaker, R. H. & H. G. Gauch, 1973. Evaluation of ordination techniques. Pages 287-321 in R. H. Whittaker (ed.) Handbook of Vegetation Science. V. Classification and Ordination of Communities. Junk, The Hague.
37. Williamson, M. H., 1978. The ordination of incidence data. Journal of Ecology, 66: 911-920.
38. Williamson, M. H., 1983. The land-bird community of Stockholm: Ordination and turnover. Oikos, 41: 378-384.