ArticlePhilosophical transactions of the Royal Society of London. Series B, Biological sciences2025
Tree balance in phylogenetic models.
Article in Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Expected value of the Sackin index under biased speciation models.Journal of mathematical biology · 2026Article
- Summarizing Evolutionary Trajectories from Phylogenetic Character Maps of Discrete Traits.bioRxiv : the preprint server for biology · 2026Article
- Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees.Bulletin of mathematical biology · 2025Article
- Detecting branching rate heterogeneity with tree balance statistics in lineage tracing trees.bioRxiv : the preprint server for biology · 2025Article
- Speciation completion rates have limited impact on macroevolutionary diversification.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
- Tree balance in phylogenetic models.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
- Shape parameters of evolutionary trees in theoretical computer science.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Review
- Mathematically tractable models of random phylogenetic networks: an overview of some recent developments.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Review
- Reading Yule in light of the history and present of macroevolution.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
- "A mathematical theory of evolution": phylogenetic models dating back 100 years.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
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3 authors.
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Abstract
Tree shape statistics, particularly measures of tree (im)balance, play an important role in the analysis of the shape of phylogenetic trees. With applications ranging from testing evolutionary models to studying the impact of fertility inheritance and selection, or tumour development and language evolution, the assessment of measures of tree balance is important. Currently, a multitude of at least 30 (im)balance indices can be found in the literature, alongside numerous other tree shape statistics. This diversity prompts essential questions: how can we assist researchers in choosing only a small number of indices to mitigate the challenges of multiple testing? Is there a preeminent balance index tailored to specific tasks? This research expands previous studies on the examination of index power, encompassing almost all established indices and a broader array of alternative models, such as a variety of trait-based models. Our investigation reveals distinct groups of balance indices better suited for different tree models, suggesting that decisions on balance index selection can be enhanced with prior knowledge. Furthermore, we present the R software package poweRbal which allows the inclusion of new indices and models, thus facilitating future research on the power of tree shape statistics.This article is part of the theme issue '"A mathematical theory of evolution": phylogenetic models dating back 100 years'.
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