Open AccessMathematics
J. Kingman
tlooto Summary
A new Markov chain is introduced to describe family relationships among individuals from a large haploid population, enabling simultaneous study of its properties.
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.
Citation format
KINGMAN, J. On the genealogy of large populations. JOURNAL OF APPLIED PROBABILITY, 1982, 19: 27–43.