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On the genealogy of large populations

Published online by Cambridge University Press:  14 July 2016

J. F. C. Kingman
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Abstract

A new Markov chain is introduced which can be used to describe the family relationships among n individuals drawn from a particular generation of a large haploid population. The properties of this process can be studied, simultaneously for all n, by coupling techniques. Recent results in neutral mutation theory are seen as consequences of the genealogy described by the chain.

Keywords

WRIGHT-FISHER MODELNEUTRAL MUTATIONRANDOM EQUIVALENCE RELATIONSCOALESCENTEWENS SAMPLING FORMULACOUPLINGENTRANCE BOUNDARY
Type
Part 1 — Genetics
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 27 - 43
Copyright
Copyright © 1982 Applied Probability Trust 

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