期刊
JOURNAL OF MATHEMATICAL BIOLOGY
卷 80, 期 3, 页码 687-715出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-019-01438-0
关键词
Phylogenetic tree; Diversity index; Shapley value; Biodiversity measures
资金
- German Academic Scholarship Foundation
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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