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Quantifying the difference between phylogenetic diversity and diversity indices.
Bordewich, Magnus; Semple, Charles.
Afiliación
  • Bordewich M; Department of Computer Science, Durham University, Durham, UK.
  • Semple C; School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand. charles.semple@canterbury.ac.nz.
J Math Biol ; 88(4): 40, 2024 Mar 06.
Article en En | MEDLINE | ID: mdl-38446152
ABSTRACT
Phylogenetic diversity is a popular measure for quantifying the biodiversity of a collection Y of species, while phylogenetic diversity indices provide a way to apportion phylogenetic diversity to individual species. Typically, for some specific diversity index, the phylogenetic diversity of Y is not equal to the sum of the diversity indices of the species in Y. In this paper, we investigate the extent of this difference for two commonly-used indices Fair Proportion and Equal Splits. In particular, we determine the maximum value of this difference under various instances including when the associated rooted phylogenetic tree is allowed to vary across all rooted phylogenetic trees with the same leaf set and whose edge lengths are constrained by either their total sum or their maximum value.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Hojas de la Planta / Biodiversidad Idioma: En Revista: J Math Biol Año: 2024 Tipo del documento: Article País de afiliación: Reino Unido Pais de publicación: Alemania

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Hojas de la Planta / Biodiversidad Idioma: En Revista: J Math Biol Año: 2024 Tipo del documento: Article País de afiliación: Reino Unido Pais de publicación: Alemania