Dual processes and an invariance result for exchangeable models in population genetics

DOI10.1007/BF00276560zbMath0596.92014OpenAlexW2027307251WikidataQ52679079 ScholiaQ52679079MaRDI QIDQ1079141

Peter Donnelly

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00276560

zbMATH Keywords

momentsrescalingpopulation geneticsexchangeabilitydiffusion approximationsrandom graphWright-Fisher modeltransient behaviordual processesmutationtwo allelesfixed population sizedual percolation substructuregraphical procedureheterozigosityinteractive particle systemlimiting dual processno selectionnon- overlapping generations genetic haploid modelsproblem of line descent

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) 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 (1)

Duality and Asymptotics for a Class of Nonneutral Discrete Moran Models

Cites Work

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• Line-of-descent and genealogical processes, and their applications in population genetics models
• Lines of descent in the diffusion approximation of neutral Wright-Fisher models
• The coalescent
• Additive set-valued Markov processes and graphical methods
• Additive and cancellative interacting particle systems
• The transient behaviour of the Moran model in population genetics
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models

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