On the genealogy of large populations
- 1 December 1982
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 19 (A) , 27-43
- https://doi.org/10.1017/s0021900200034446
Abstract
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.Keywords
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