ArticleJournal of mathematical biology2008
The Shapley value of phylogenetic trees.
Article in Journal of mathematical biology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Putatively Adaptive and Genome-Wide Genetic Variation Often Rank Populations as Similarly Distinctive.Molecular ecology · 2026Article
- Phylogenetic Diversity Indices from an Affine and Projective Viewpoint.Bulletin of mathematical biology · 2024Article
- The EDGE2 protocol: Advancing the prioritisation of Evolutionarily Distinct and Globally Endangered species for practical conservation action.PLoS biology · 2023Article
- Mathematical indices for the influence of risk factors on the lethality of a disease.Journal of mathematical biology · 2021Article
- Combinatorial properties of phylogenetic diversity indices.Journal of mathematical biology · 2020Article
- Biodiversity, Shapley value and phylogenetic trees: some remarks.Journal of mathematical biology · 2020Article
- Correlation between Shapley values of rooted phylogenetic trees under the beta-splitting model.Journal of mathematical biology · 2020Article
- Genomic assessment of local adaptation in dwarf birch to inform assisted gene flow.Evolutionary applications · 2020Article
- I-HEDGE: determining the optimum complementary sets of taxa for conservation using evolutionary isolation.PeerJ · 2016Article
- Equality of Shapley value and fair proportion index in phylogenetic trees.Journal of mathematical biology · 2015Article
- Measuring Evolutionary Isolation for Conservation.PloS one · 2014Article
- Article
- The equivalence of two phylogenetic biodiversity measures: the Shapley value and Fair Proportion index.Journal of mathematical biology · 2013Article
- Computing evolutionary distinctiveness indices in large scale analysis.Algorithms for molecular biology : AMB · 2012Article
- Investing in evolutionary history: implementing a phylogenetic approach for mammal conservation.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2011Article
- BIO::Phylo-phyloinformatic analysis using perl.BMC bioinformatics · 2011Article
- Hedging our bets: the expected contribution of species to future phylogenetic diversity.Evolutionary bioinformatics online · 2007Article
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Authors and funding
3 authors.
Funding
Abstract
Every weighted tree corresponds naturally to a cooperative game that we call a tree game; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the leaves are species and this assignment captures the diversity present in the coalition of species considered. We consider the Shapley value of tree games and suggest a biological interpretation. We determine the linear transformation M that shows the dependence of the Shapley value on the edge weights of the tree, and we also compute a null space basis of M. Both depend on the split counts of the tree. Finally, we characterize the Shapley value on tree games by four axioms, a counterpart to Shapley's original theorem on the larger class of cooperative games. We also include a brief discussion of the core of tree games.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.