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On the genealogy of large populations

Journal of Applied ProbabilityPublished 1 January 1982
J. F. C. Kingmán
Citations324
SJR quartileQ2
SJR score0.53
SNIP0.91

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

Biochemistry, Genetics and Molecular Biology