2001
DOI: 10.1007/s004420100716
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Ecologically meaningful transformations for ordination of species data

Abstract: This paper examines how to obtain species biplots in unconstrained or constrained ordination without resorting to the Euclidean distance [used in principal-component analysis (PCA) and redundancy analysis (RDA)] or the chi-square distance [preserved in correspondence analysis (CA) and canonical correspondence analysis (CCA)] which are not always appropriate for the analysis of community composition data. To achieve this goal, transformations are proposed for species data tables. They allow ecologists to use or… Show more

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Cited by 4,311 publications
(3,021 citation statements)
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References 20 publications
(22 reference statements)
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“…This transformation allows the use of Euclidian-based methods such as RDA rather than Chi-squared distance-based methods such as CCA for the analysis of species data. This option was recently suggested as a way to overcome a problem associated with the Chi-squared metric: that rare species may have a much larger influence on the analysis than common species [41]. Three quantitative environmental variables measured at the sampling sites (DWT, pH, and conductivity) were used as explanatory variables.…”
Section: S Cuspidatummentioning
confidence: 99%
“…This transformation allows the use of Euclidian-based methods such as RDA rather than Chi-squared distance-based methods such as CCA for the analysis of species data. This option was recently suggested as a way to overcome a problem associated with the Chi-squared metric: that rare species may have a much larger influence on the analysis than common species [41]. Three quantitative environmental variables measured at the sampling sites (DWT, pH, and conductivity) were used as explanatory variables.…”
Section: S Cuspidatummentioning
confidence: 99%
“…Hellinger transformed (Legendre and Gallagher, 2001) previously to being used as predictors in the analysis. variance of a factor that is independent of all previous factors.…”
Section: Resultsmentioning
confidence: 99%
“…Because trout and frog variables were binary, and to achieve more accurate R 2 in the model, these variables were standardized by Hellinger transformation (Legendre and Gallagher, 2001) before using them in FSO.…”
Section: (Multidimensional) Fuzzy Set Ordinationmentioning
confidence: 99%
“…In addition, we transformed our matrix of relative amounts of compounds (originally in % of the total blend) with a Hellinger transformation, which is a relativization by row (sample unit) totals, followed by taking the square root of each element in the matrix, to make the floral scent data that contained many zero values (e.g., compounds absent in certain individuals, but present in others) suitable for multivariate analysis (Legendre & Gallagher, 2001; Legendre & Legendre, 1998). We then performed an analysis of similarities (ANOSIM) using the average Bray–Curtis distances among samples of the Hellinger‐transformed matrix and 1,000 permutations with the vegan package (version 2.0–5; (Oksanen et al., 2012)) in R to statistically test if the two Ophrys species differed in floral scent.…”
Section: Methodsmentioning
confidence: 99%