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1 February 2008 Spatial ordination of vegetation data using a generalization of Wartenberg's multivariate spatial correlation
Stéphane Dray, Sonia Saïd, François Débias
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Question: Are there spatial structures in the composition of plant communities?

Methods: Identification and measurement of spatial structures is a topic of great interest in plant ecology. Univariate measurements of spatial autocorrelation such as Moran's I and Geary's c are widely used, but extensions to the multivariate case (i.e. multi-species) are rare. Here, we propose a multivariate spatial analysis based on Moran's I (MULTISPATI) by introducing a row-sum standardized spatial weight matrix in the statistical triplet notation. This analysis, which is a generalization of Wartenberg's approach to multivariate spatial correlation, would imply a compromise between the relations among many variables (multivariate analysis) and their spatial structure (autocorrelation). MULTISPATI approach is very flexible and can handle various kinds of data (quantitative and/or qualitative data, contingency tables).

A study is presented to illustrate the method using a spatial version of Correspondence Analysis.

Location: Territoire d'Etude et d'Expérimentation de Trois-Fontaines (eastern France).

Results: Ordination of vegetation plots by this spatial analysis is quite robust with reference to rare species and highlights spatial patterns related to soil properties.

Nomenclature: Tutin et al. (2001).

Stéphane Dray, Sonia Saïd, and François Débias "Spatial ordination of vegetation data using a generalization of Wartenberg's multivariate spatial correlation," Journal of Vegetation Science 19(1), 45-56, (1 February 2008).
Received: 29 November 2006; Accepted: 1 May 2007; Published: 1 February 2008

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correspondence analysis
Moran's I
multivariate analysis
Spatially Constrained Ordination
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