On the genealogy of large populations

Journal of Applied Probability - Tập 19 Số A - Trang 27-43 - 1982
J. F. C. Kingmán

Tóm tắt

A new Markov chain is introduced which can be used to describe the family relationships amongnindividuals 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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