ArticleJournal of mathematical biology2019
A balance index for phylogenetic trees based on rooted quartets.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers, 1 of them a synthesis that pooled it.
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Who cites it
8 citing papers in PubMed, 1 synthesis or guideline pooled it.
- The Limits of the Constant-rate Birth-Death Prior for Phylogenetic Tree Topology Inference.Systematic biology · 2024Pooled it
- Expected value of the Sackin index under biased speciation models.Journal of mathematical biology · 2026Article
- Tree balance in phylogenetic models.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
- Explicit solution of divide-and-conquer dividing by a half recurrences with polynomial independent term.PloS one · 2022Article
- On the minimum value of the Colless index and the bifurcating trees that achieve it.Journal of mathematical biology · 2020Article
- On Sackin's original proposal: the variance of the leaves' depths as a phylogenetic balance index.BMC bioinformatics · 2020Article
- Sound Colless-like balance indices for multifurcating trees.PloS one · 2018Article
- The Probabilities of Trees and Cladograms under Ford's α-Model.TheScientificWorldJournal · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
We define a new balance index for rooted phylogenetic trees based on the symmetry of the evolutive history of every set of 4 leaves. This index makes sense for multifurcating trees and it can be computed in time linear in the number of leaves. We determine its maximum and minimum values for arbitrary and bifurcating trees, and we provide exact formulas for its expected value and variance on bifurcating trees under Ford's [Formula: see text]-model and Aldous' [Formula: see text]-model and on arbitrary trees under the [Formula: see text]-[Formula: see text]-model.
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Registered trials
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