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Reciprocal Averaging: An Eigenvector Method of Ordination

M. O. Hill
Journal of Ecology
Vol. 61, No. 1 (Mar., 1973), pp. 237-249
DOI: 10.2307/2258931
Stable URL: http://www.jstor.org/stable/2258931
Page Count: 13
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Reciprocal Averaging: An Eigenvector Method of Ordination
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Abstract

Principal components analysis has often been used to analyse multivariate data. An alternative and rather similar method, developed in France under the title `Analyse Factorielle des Correspondances' and here termed reciprocal averaging, is advocated as being more satisfactory in ecological contexts. Its particular strength is that it simultaneously ordinates both the species and the stands. The derived stand ordinations are often similar to those obtained by principal components analysis of standardized data. The theory of the method is presented in a mathematical appendix and its relation to principal components analysis is discussed. An algorithm suitable for deriving reciprocal averaging ordinations is briefly described.

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