Nomenclature: Tutin et al. (2001).
Spatial ordination of vegetation data using a generalization of Wartenberg's multivariate spatial correlation
Version of Record online: 29 JAN 2009
2008 IAVS - the International Association of Vegetation Science
Journal of Vegetation Science
Volume 19, Issue 1, pages 45–56, February 2008
How to Cite
Dray, S., Saïd, S. and Débias, F. (2008), Spatial ordination of vegetation data using a generalization of Wartenberg's multivariate spatial correlation. Journal of Vegetation Science, 19: 45–56. doi: 10.3170/2007-8-18312
- Issue online: 29 JAN 2009
- Version of Record online: 29 JAN 2009
- Received 29 November 2006; Accepted 11 May 2007
- Correspondence Analysis;
- Moran's I;
- Multivariate analysis;
- Spatial autocorrelation;
- Spatially Constrained Ordination
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.