Asymptotic behavior of joint distributions of characteristics of a pair of randomly chosen individuals in discrete-time Fisher-Wright models with mutations and drift

DOI10.1016/j.tpb.2004.07.003zbMath1075.92042OpenAlexW1970242918WikidataQ51983670 ScholiaQ51983670MaRDI QIDQ2565672

Marek Kimmel, Adam Bobrowski

Publication date: 28 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.tpb.2004.07.003

zbMATH Keywords

asymptotically constant populationsasymptotically stable mutations

Mathematics Subject Classification ID

Problems related to evolution (92D15) Diagnostics, and linear inference and regression (62J20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Genetic demographic networks: mathematical model and applications ⋮ The distribution of coalescence times and distances between microsatellite alleles with changing effective population size ⋮ Alternatives to the Wright-Fisher model: the robustness of mitochondrial Eve dating ⋮ Moran process version of the tug-of-war model: behavior revealed by mathematical analysis and simulation studies ⋮ Asymptotic behavior of a Feller evolution family involved in the Fisher-Wright model ⋮ Non-homogeneous infinitely many sites discrete-time model with exact coalescent ⋮ Quasi-stationary distributions of a pair of Markov chains related to time evolution of a DNA locus

Cites Work

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• Allele frequencies in a multidimensional Wright-Fisher model with general mutation
• Non-homogeneous infinite sites model under demographic change: Mathematical description and asymptotic behavior of pairwise distributions
• Coherent random walks arising in some genetical models
• A random evolution related to a Fisher-Wright-Moran model with mutation, recombination and drift
• Quasi-stationary distributions of a pair of Markov chains related to time evolution of a DNA locus

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