ArticleJournal of mathematical biology2020
Combinatorial properties of phylogenetic diversity indices.
Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Neutral phylogenetic models and their role in tree-based biodiversity measures.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Review
- Phylogenetic Diversity Indices from an Affine and Projective Viewpoint.Bulletin of mathematical biology · 2024Article
- Mathematical indices for the influence of risk factors on the lethality of a disease.Journal of mathematical biology · 2021Article
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2 authors.
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Abstract
Phylogenetic diversity indices provide a formal way to apportion 'evolutionary heritage' across species. Two natural diversity indices are Fair Proportion (FP) and Equal Splits (ES). FP is also called 'evolutionary distinctiveness' and, for rooted trees, is identical to the Shapley Value (SV), which arises from cooperative game theory. In this paper, we investigate the extent to which FP and ES can differ, characterise tree shapes on which the indices are identical, and study the equivalence of FP and SV and its implications in more detail. We also define and investigate analogues of these indices on unrooted trees (where SV was originally defined), including an index that is closely related to the Pauplin representation of phylogenetic diversity.
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