ArticleJournal of mathematical biology2019
The stationary distribution of a sample from the Wright-Fisher diffusion model with general small mutation rates.
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 2 papers.
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2 citing papers in PubMed, 10 citations in OpenAlex.
- Recurrent mutation in the ancestry of a rare variant.Genetics · 2023Article
- The transition distribution of a sample from a Wright-Fisher diffusion with general small mutation rates.Journal of mathematical biology · 2019Article
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2 authors at 2 institutions in 2 countries.
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Abstract
The stationary distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent to having at most one mutation in the coalescent tree to the first order in the rates. The sample probabilities characterize an approximation for the stationary distribution from the Wright-Fisher diffusion. The approach is different from Burden and Tang (Theor Popul Biol 112:22-32, 2016; Theor Popul Biol 113:23-33, 2017) who use a probability flux argument to obtain the same results from a forward diffusion generator equation. The solution has interest because the solution is not known when rates are not small. An analogous solution is found for the configuration of alleles in a general exchangeable binary coalescent tree. In particular an explicit solution is found for a pure birth process tree when individuals reproduce at rate [Formula: see text].
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