Allele frequencies in multidimensional Wright-Fisher models with a general symmetric mutation structure

DOI10.1016/0040-5809(80)90014-3zbMath0435.92019OpenAlexW2009593406WikidataQ71281793 ScholiaQ71281793MaRDI QIDQ1140566

Robert C. Griffiths

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0040-5809(80)90014-3

zbMATH Keywords

allele frequenciesexpected homozygositygeneral stepwise mutation modelsgeometric charge state modelmultiple-allele Wright-Fisher modelsymmetric mutation structure

Mathematics Subject Classification ID

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

Related Items

The multivariate Wright-Fisher process with mutation: moment-based analysis and inference using a hierarchical beta model, A boundary preserving numerical scheme for the Wright-Fisher model, Genetic identity between populations when mutation rates vary within and across loci, Exact Markov chain and approximate diffusion solution for haploid genetic drift with one-way mutation, A boundary preserving numerical algorithm for the Wright-Fisher model with mutation, Exact solution of the multi-allelic diffusion model, Modeling the evolution of the human mitochondrial genome, Neutral two-locus multiple allele models with recombination, Qualitative behavior of a selectively neutral allelic model, Allele frequencies in a multidimensional Wright-Fisher model with general mutation

Cites Work

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• Wandering distributions and the electrophoretic profile
• The stationary distribution of the infinitely-many neutral alleles diffusion model
• Coherent random walks arising in some genetical models
• A transition density expansion for a multi-allele diffusion model
• Exact sampling distributions from the infinite neutral alleles model