Extinction time and age of an allele in a large finite population.

DOI10.1006/tpbi.2002.1576zbMath1038.92026OpenAlexW2079488796WikidataQ52039979 ScholiaQ52039979MaRDI QIDQ1427321

Onno A. van Herwaarden, Nathalie J. van der Wal

Publication date: 14 March 2004

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/tpbi.2002.1576

zbMATH Keywords

Fokker-Planck equationsingular perturbationsgenetic driftextinction and fixation timeunlikely exit

Mathematics Subject Classification ID

Problems related to evolution (92D15) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Evolution of the ancestral recombination graph along the genome in case of selective sweep ⋮ Absorption and fixation times for neutral and quasi-neutral populations with density dependence ⋮ The genealogy, site frequency spectrum and ages of two nested mutant alleles ⋮ Coalescent size versus coalescent time with strong selection ⋮ The frequency spectrum of a mutation, and its age, in a general diffusion model ⋮ Selective sweeps for recessive alleles and for other modes of dominance ⋮ Extinction and fixation times with dominance and inbreeding

Cites Work

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• Reversibility and the age of an allele. II. Two-allele models, with selection and mutation
• Asymptotic methods for the Fokker-Planck equation and the exit problem in applications
• Conditional diffusion processes in population genetics
• Motoo Kimura's use of diffusion theory in population genetics
• An application of time reversal of Markov processes to a problem of population genetics
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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