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
MathematicsMarkov chainGenealogyChain (unit)PopulationStatistical physicsStatisticsDemographySociologyHistory
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Publication Info
- Year
- 1982
- Type
- article
- Volume
- 19
- Issue
- A
- Pages
- 27-43
- Citations
- 1576
- Access
- Closed
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Cite This
J. F. C. Kingmán
(1982).
On the genealogy of large populations.
Journal of Applied Probability
, 19
(A)
, 27-43.
https://doi.org/10.2307/3213548
Identifiers
- DOI
- 10.2307/3213548