Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics.

doi:10.1007/s00285-026-02349-7

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Article

Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics.

Journal of mathematical biology - 26 Feb 2026

Bürger Reinhard

Abstract excerpt

Population genetic processes, such as the adaptation of a quantitative trait to directional selection, may occur on longer time scales than the sweep of a single advantageous mutation. To study such processes in finite populations, approximations for the time course of the distribution of a beneficial mutation were derived previously by branching process methods. The application to the evolution of a quantitative...

Topics

Genetics, Population
Models, Genetic
Mutation
Selection, Genetic
Probability
Animals
Mathematical Concepts
Poisson Distribution

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Open in PubMed Open full text

Identifiers

PMID: 41746375
DOI: 10.1007/s00285-026-02349-7
PMCID: PMC12945936

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PubMed metadata and Literature Corpus relationships. Corpus snapshot updated 30 Aug 2026.

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