ArticleJournal of mathematical biology2020
Correlation between Shapley values of rooted phylogenetic trees under the beta-splitting model.
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 5 papers.
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5 citing papers in PubMed.
- Expected value of the Sackin index under biased speciation models.Journal of mathematical biology · 2026Article
- Shape parameters of evolutionary trees in theoretical computer science.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Review
- Alternative splicing events as peripheral biomarkers for motor learning deficit caused by adverse prenatal environments.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Mathematical indices for the influence of risk factors on the lethality of a disease.Journal of mathematical biology · 2021Article
- Biodiversity, Shapley value and phylogenetic trees: some remarks.Journal of mathematical biology · 2020Article
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2 authors.
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Abstract
In recent years, several different versions of the Shapley value have been introduced in phylogenetics for the purpose of ranking biodiversity data in order to decide whether to preserve the data or not. Two of these Shapley values are the rooted and unrooted Shapley value which have been compared with the fair proportion index since this index is easier to compute. In particular, it was proved for the former that it is identical with the fair proportion index and numerical data was presented by several authors that the latter is strongly correlated with the fair proportion index. In this paper, we will prove a theoretical result which supports this observation. More precisely, we will prove that in random phylogenetic trees under the [Formula: see text]-splitting model, the correlation coefficient between the unrooted Shapley value and the fair proportion index indeed tends to one for all [Formula: see text] with [Formula: see text]. We also present data which suggests that the convergence worsens as [Formula: see text] is approaching [Formula: see text].
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