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Environmental and Ecological Statistics

, Volume 5, Issue 1, pp 1–27 | Cite as

Partialling out the spatial component of ecological variation: questions and propositions in the linear modelling framework

  • Alain Meot
  • Pierre Legendre
  • Daniel Borcard
Article

Abstract

First, we formulate some questions posed by the procedure recently proposed by Borcard et al. (1992) and Borcard and Legendre (1994) to partition the ecological variation of a community into different portions related to spatial and environmental descriptors. Working separately on the two steps of this procedure - linear modelling and ordinations on modelled tables - allows us to propose different solutions to these questions. These solutions, which use little-known proper- ties of a linear regression model with two additive factors and no interaction, are also adapted to the case of mixed factors (qualitative and quantitative). These properties are presented in the framework of canonical correlation analysis. In particular, they allow us to propose an alternative to partial regression, which avoids confounding. A detailed illustration is presented. © Rapid Science 1998

canonical correlation analysis canonical correspondence analysis ecological models geographical polynomials linear model oribatid mites spatial patterns statistical triplet variation partitioning 

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Copyright information

© Chapman and Hall 1998

Authors and Affiliations

  • Alain Meot
    • 1
  • Pierre Legendre
    • 2
  • Daniel Borcard
    • 1
  1. 1.UPRESA CNRS 6024, Laboratoire de Psychologie Sociale de la Cognition.Universite Clermont-FerrandClermont-FerrandFrance
  2. 2.Departement de Sciences BiologiquesUniversite de MontrealMontrealCanada

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