ArticleJournal of mathematical biology2021
Haldane's formula in Cannings models: the case of moderately strong selection.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Environment heterogeneity creates fast amplifiers of natural selection in graph-structured populations.Nature communications · 2026Article
- Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics.Journal of mathematical biology · 2026Article
- Frequent asymmetric migrations suppress natural selection in spatially structured populations.PNAS nexus · 2023Article
- Extinction scenarios in evolutionary processes: a multinomial Wright-Fisher approach.Journal of mathematical biology · 2023Article
- Haldane's formula in Cannings models: the case of moderately strong selection.Journal of mathematical biology · 2021Article
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4 authors.
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Abstract
For a class of Cannings models we prove Haldane's formula, [Formula: see text], for the fixation probability of a single beneficial mutant in the limit of large population size N and in the regime of moderately strong selection, i.e. for [Formula: see text] and [Formula: see text]. Here, [Formula: see text] is the selective advantage of an individual carrying the beneficial type, and [Formula: see text] is the (asymptotic) offspring variance. Our assumptions on the reproduction mechanism allow for a coupling of the beneficial allele's frequency process with slightly supercritical Galton-Watson processes in the early phase of fixation.
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