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Quantifying the difference between phylogenetic diversity and diversity indices

Bordewich, Magnus; Semple, Charles

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Authors

Charles Semple



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.

Citation

Bordewich, M., & Semple, C. (2024). Quantifying the difference between phylogenetic diversity and diversity indices. Journal of Mathematical Biology, 88(4), Article 40. https://doi.org/10.1007/s00285-024-02059-y

Journal Article Type Article
Acceptance Date Feb 5, 2024
Online Publication Date Mar 6, 2024
Publication Date Apr 1, 2024
Deposit Date Mar 7, 2024
Publicly Available Date Mar 8, 2024
Journal Journal of Mathematical Biology
Print ISSN 0303-6812
Electronic ISSN 1432-1416
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 88
Issue 4
Article Number 40
DOI https://doi.org/10.1007/s00285-024-02059-y
Keywords Diversity indices, 05C85, 68R10, Equal Splits index, Phylogenetic tree, Fair Proportion index, Phylogenetic diversity
Public URL https://durham-repository.worktribe.com/output/2312322

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