Diffusion approximation of the Wright-Fisher model of population genetics: Single-locus two alleles

DOI10.1007/BF02513133zbMath1012.92026MaRDI QIDQ2768848

R. W. Coad

Publication date: 3 February 2002

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Markov chainspopulation geneticsWright-Fisher modelOrnstein-Uhlenbeck diffusion processes

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

Related Items (2)

A monoecious and diploid Moran model of random mating ⋮ Local fluctuations of genetic processes defined on two time scales, with applications to effective size estimation

Cites Work

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• Diffusion processes in population genetics
• Fixation probabilities of additive alleles in diploid populations
• Diffusion approximations of Markov chains with two time scales and applications to population genetics
• Average time until fixation of a mutant allele in a finite population under continued mutation pressure: Studies by analytical, numerical, and pseudo-sampling methods
• Diffusion models in population genetics
• The pseudo-transient distribution and its uses in genetics
• Numerical results and diffusion approximations in a genetic process
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL

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