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A Method for Reciprocal Scaling of Species Tolerance and Sample Diversity
Author(s) -
Thioulouse Jean,
Chessel Daniel
Publication year - 1992
Publication title -
ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.144
H-Index - 294
eISSN - 1939-9170
pISSN - 0012-9658
DOI - 10.2307/1940773
Subject(s) - reciprocal , multivariate statistics , graphics , sample (material) , gaussian , computer science , multidimensional scaling , diversity (politics) , graph , scaling , ellipse , ecology , statistics , mathematics , theoretical computer science , computer graphics (images) , biology , geometry , physics , quantum mechanics , philosophy , linguistics , sociology , anthropology , thermodynamics
The method and the associated graphical representations proposed in this paper facilitate the interpretation of the correspondence analysis (CA) of a samples/species data table. By using the "reciprocal discrimination" model of CA, this method introduces directly and on the same graph the notions of niche width and within—sample diversity. We propose two Macintosh programs for computing conditional means, variances, and covariances of factor scores for species and samples, and for drawing ellipses and Gaussian curves from these values. Two examples of ecological interest show how resulting graphics help in understanding the results of multivariate analyses.