Qualitative behavior of a selectively neutral allelic model

DOI10.1016/0040-5809(83)90002-3zbMath0515.92013OpenAlexW2031390131WikidataQ52708485 ScholiaQ52708485MaRDI QIDQ1052260

Donald A. Dawson, Kenneth J. Hochberg

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0040-5809(83)90002-3

zbMATH Keywords

diffusion approximationlimiting distributionfrequency distributionscharge stateladder modelmultidimensional continuous modeloccupation indexprobability measure-valued Markov diffusion processselectively neutral allelic modelstepwise-mutation model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Continuous-time Markov processes on general state spaces (60J25) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Cites Work

• Allele frequencies in multidimensional Wright-Fisher models with a general symmetric mutation structure
• The number of alleles in electrophoretic experiments
• The number of distinguishable alleles according to the Ohta-Kimura model of neutral mutation
• The coalescent
• Wandering random measures in the Fleming-Viot model
• Wandering distributions and the electrophoretic profile
• The infinitely-many-neutral-alleles diffusion model
• The stationary distribution of the infinitely-many neutral alleles diffusion model
• Coherent random walks arising in some genetical models
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