ArticleTheoretical population biology2018
On the joint distribution of tree height and tree length under the coalescent.
Article in Theoretical population biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- The Phylodynamic Threshold of Measurably Evolving Populations.Molecular biology and evolution · 2026Article
- Approximations to the expectations and variances of ratios of tree properties under the coalescent.G3 (Bethesda, Md.) · 2022Article
- A compendium of covariances and correlation coefficients of coalescent tree properties.Theoretical population biology · 2022Article
- On asymptotic joint distributions of cherries and pitchforks for random phylogenetic trees.Journal of mathematical biology · 2021Article
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Authors and funding
3 authors.
Funding
Abstract
Many statistics that examine genetic variation depend on the underlying shapes of genealogical trees. Under the coalescent model, we investigate the joint distribution of two quantities that describe genealogical tree shape: tree height and tree length. We derive a recursive formula for their exact joint distribution under a demographic model of a constant-sized population. We obtain approximations for the mean and variance of the ratio of tree height to tree length, using them to show that this ratio converges in probability to 0 as the sample size increases. We find that as the sample size increases, the correlation coefficient for tree height and length approaches (π
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