The population genealogy of the infinitely-many neutral alleles model

DOI10.1007/BF00277163zbMath0636.92008OpenAlexW2070433710WikidataQ52609572 ScholiaQ52609572MaRDI QIDQ1098800

Simon Tavaré, Peter Donnelly

Publication date: 1987

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277163

zbMATH Keywords

marginal distributionKingman's coalescentgenealogy of populationsinfinitely-many neutral alleles modelK-allele models

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

Related Items (9)

Convergence to Fleming-Viot processes in the weak atomic topology ⋮ A coalescent dual process in a Moran model with genic selection ⋮ The diminishing segment process ⋮ A coalescent dual process for a Wright-Fisher diffusion with recombination and its application to haplotype partitioning ⋮ Ewens' sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles ⋮ Two chromosomes with multigene families ⋮ Genealogical-tree probabilities in the infinitely-many-site model ⋮ Coalescent lineage distributions ⋮ A countable representation of the Fleming-Viot measure-valued diffusion

Cites Work

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• Line-of-descent and genealogical processes, and their applications in population genetics models
• Lines of descent and the coalescent
• Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
• Lines of descent in the diffusion approximation of neutral Wright-Fisher models
• The coalescent
• Simulating allele frequencies in a population and the genetic differentiation of populations under mutation pressure
• The ages of alleles and a coalescent
• The infinitely-many-neutral-alleles diffusion model
• Random partitions in population genetics
• A transition density expansion for a multi-allele diffusion model

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