Equality of Shapley value and fair proportion index in phylogenetic trees
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Publication:887402
DOI10.1007/s00285-014-0853-0zbMath1355.92074OpenAlexW2060289523WikidataQ35500930 ScholiaQ35500930MaRDI QIDQ887402
Publication date: 26 October 2015
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-014-0853-0
Trees (05C05) Problems related to evolution (92D15) Applications of graph theory (05C90) Combinatorial probability (60C05)
Related Items (11)
Phylogenetic diversity and biodiversity indices on phylogenetic networks ⋮ Spaces of phylogenetic diversity indices: combinatorial and geometric properties ⋮ Comparing the rankings obtained from two biodiversity indices: the fair proportion index and the Shapley value ⋮ On the Shapley value of unrooted phylogenetic trees ⋮ Correlation between Shapley values of rooted phylogenetic trees under the beta-splitting model ⋮ Combinatorial properties of phylogenetic diversity indices ⋮ Biodiversity, Shapley value and phylogenetic trees: some remarks ⋮ A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees ⋮ Mathematical indices for the influence of risk factors on the lethality of a disease ⋮ Effects of discordance between species and gene trees on phylogenetic diversity conservation ⋮ Two results about the Sackin and Colless indices for phylogenetic trees and their shapes
Cites Work
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- The equivalence of two phylogenetic biodiversity measures: the Shapley value and fair proportion index
- The Shapley value of phylogenetic trees
- Evolutionarily distinctive species often capture more phylogenetic diversity than expected
- Limit theorems for patterns in phylogenetic trees
- On the Altitude of Nodes in Random Trees
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