Lines of descent and the coalescent

DOI10.1016/0040-5809(84)90025-XzbMath0542.92015MaRDI QIDQ795765

G. A. Watterson

Publication date: 1984

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

zbMATH Keywords

Markov chainsampling theoryprobability distributionsWright-Fisher modelcoalescenttransition probabilitiesmutationclass sizesgene numbersinfinitely many alleleslines of descentMoran's model of evolutionnew allelesorigin of genessample partitiontotal number of classes

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)

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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
• The sampling theory of selectively neutral alleles
• The transient behaviour of the Moran model in population genetics
• Exact sampling distributions from the infinite neutral alleles model
• The sampling theory of selectively neutral alleles