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An evaluation of the relative robustness of techniques for ecological ordination

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Theory and models in vegetation science

Part of the book series: Advances in vegetation science ((AIVS,volume 8))

Abstract

Simulated vegetation data were used to assess the relative robustness of ordination techniques to variations in the model of community variation in relation to environment. The methods compared were local non-metric multidimensional scaling (LNMDS), detrended correspondence analysis (DCA), Gaussian ordination (GO), principal components analysis (PCA) and principal co-ordinates analysis (PCoA). Both LNMDS and PCoA were applied to a matrix of Bray-Curtis coefficients. The results clearly demonstrated the ineffectiveness of the linear techniques (PCA, PCoA), due to curvilinear distortion. Gaussian ordination proved very sensitive to noise and was not robust to marked departures from a symmetric, unimodal response model. The currently popular method of DCA displayed a lack of robustness to variations in the response model and the sampling pattern. Furthermore, DCA ordinations of two-dimensional models often exhibited marked distortions, even when response surfaces were unimodal and symmetric. LNMDS is recommended as a robust technique for indirect gradient analysis, which deserves more widespread use by community ecologists.

I acknowledge the encouragement of Dr M. P. Austin and Dr B. M. Potts and the co-operation of the staff of the University of Tasmania computing centre. I also thank Prof. R. S. Clymo, Dr I. C. Prentice and Prof. L. Orleci for helpful comments on the manuscript. This work formed part of a Ph.D. project at the Botany Department, University of Tasmania, during which I held an Australian Commonwealth Postgraduate Research Award.

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  1. Peter R. Minchin

    Present address: Department of Biogeography and Geomorphology, Research School of Pacific Studies, Australian National University, G.P.O. Box 4, Canberra, 2601, Australia

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  1. Division of Water and Land Resources, CSIRO, G.P.O. Box 1666, Canberra, 2601, Australia

    Peter R. Minchin

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  1. Institute of Ecological Botany, Box 559, S 751 22, Uppsala, Sweden

    I. Colin Prentice  & Eddy van der Maarel  & 

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© 1987 Dr W. Junk Publishers, Dordrecht

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Minchin, P.R. (1987). An evaluation of the relative robustness of techniques for ecological ordination. In: Prentice, I.C., van der Maarel, E. (eds) Theory and models in vegetation science. Advances in vegetation science, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4061-1_9

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  • DOI: https://doi.org/10.1007/978-94-009-4061-1_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8303-4

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