Ecological Archives E089-075-A4

David W. Roberts. 2008. Statistical analysis of multidimensional fuzzy set ordinations. Ecology 89:1246–1260.

Appendix D. A comparison of multidimensioanl fuzzy set ordination (MFSO) to canonical correspondence analysis (CCA) and canonical analysis of principal coordinates (CAPC) for the three-dimensional simulated coenospaces.

FigD1
 

   FIG. D1. Boxplots comparing the results of multidimensional fuzzy set ordination (MFSO), canonical correspondence analysis (CCA), and canonical analysis of principal coordinates (CAPC) on ten replicates of simulated three-dimensional coenospaces. Panel A shows the correlation of the pairwise distances in the ordination scatterplot with the underlying dissimilarity of distance matrix (Bray-Curtis for FSO and CAPC, chi-square distance for CCA). Panel B shows the sum-of-squares errors of the ordination scatterplots to the simulated samples calculated by symmetric procrustes analysis. Panel C shows the root mean-squared errors of the ordination scatterplots to the known distribution of simulated samples calculated by symmetric procrustes analysis.



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