AI Article Synopsis
- Phylogenetic diversity indices help distribute 'evolutionary heritage' among species, with two main types being Fair Proportion (FP) and Equal Splits (ES).
- FP, also known as 'evolutionary distinctiveness', is equivalent to the Shapley Value (SV) from cooperative game theory for rooted trees.
- This paper explores differences between FP and ES, identifies tree shapes where they are the same, and delves into the relationship between FP and SV, including adaptations for unrooted trees.
Article 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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| http://dx.doi.org/10.1007/s00285-019-01438-0 | DOI Listing |
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