On the genealogy of large populations

1982/01/01 by J. F. C. Kingman, J. F. C. Kingmán · 46 citations
Biochemistry, Genetics and Molecular Biology · #Genetic Associations and Epidemiology #Evolution and Genetic Dynamics #Genetic diversity and population structure

paper · doi:10.2307/3213548

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.

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