Rigorous results for a population model with selection II: genealogy of the population

By Jason Schweinsberg. 2014

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We consider a model of a population of fixed size $N$ undergoing selection. Each individual acquires beneficial mutations at rate $\mu_N$, and each beneficial mutation increases the individual's fitness by $s_N$. Each individual dies at rate one, and when a death occurs, an individual is chosen with probability proportional to the individual's fitness to give birth. Under certain conditions on the parameters $\mu_N$ and $s_N$, we show that the genealogy of the population can be described by the Bolthausen-Sznitman coalescent. This result confirms predictions of Desai, Walczak, and Fisher (2013), and Neher and Hallatschek (2013).

Subfields: Genetics, Mathematical Physics, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/2fc79bcf82878c81c6acd9d9f52c32e04783e713

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In Genetics

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Efficient ancestry and mutation simulation with msprime 1.0 (2021, background): “Multiple-merger coalescent processes have also been shown to be relevant for modeling the effects of selection on gene genealogies (Gillespie 2000; Durrett and Schweinsberg 2004; Desai et al. 2013; Neher and Hallatschek 2013; Schweinsberg 2017).”