Orthonormal transform to decompose the variance of a life-history trait across a phylogenetic tree - Botanique et bio-informatique de l'architecture des plantes et des végétations Accéder directement au contenu
Article Dans Une Revue Biometrics Année : 2006

Orthonormal transform to decompose the variance of a life-history trait across a phylogenetic tree

Résumé

In recent years, there has been an increased interest in studying the variability of a quantitative life history trait across a set of species sharing a common phylogeny. However, such studies have su.ered from an insu.cient development of statistical methods aimed at decomposing the trait variance with respect to the topological structure of the tree. Here we propose, a new and generic approach that expresses the topological properties of the phylogenetic tree via an orthonormal basis, which is further used to decompose the trait variance. Such a decomposition provides a structure function, referred to as "orthogram," which is relevant to characterize in both graphical and statistical aspects the dependence of trait values on thetopology of the tree ("phylogenetic dependence"). We also propose four complementary test statistics to be computed from orthogram values that help to diagnose both the intensity and the nature of phylogenetic dependence. The relevance of the method is illustrated by the analysis of three phylogenetic data sets, drawn from the literature and typifying contrasted levels and aspects of phylogenetic dependence. Freely available routines which have been programmed in the R framework are also proposed.
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Dates et versions

hal-00090717 , version 1 (19-12-2013)

Identifiants

Citer

S. Ollier, Pierre Couteron, D. Chessel. Orthonormal transform to decompose the variance of a life-history trait across a phylogenetic tree. Biometrics, 2006, 62 (2), pp.471-477. ⟨10.1111/j.1541-0420.2005.00497.x⟩. ⟨hal-00090717⟩
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