On the genealogy of large populations
- 1 January 1982
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 19 (A) , 27-43
- https://doi.org/10.2307/3213548
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
This publication has 18 references indexed in Scilit:
- The dynamics of neutral mutationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- The Representation of Partition StructuresJournal of the London Mathematical Society, 1978
- Random partitions in population geneticsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Stability of Critical Cluster FieldsMathematische Nachrichten, 1977
- Coherent random walks arising in some genetical modelsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1976
- A Pain in the Torus: Some Difficulties with Models of Isolation by DistanceThe American Naturalist, 1975
- A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a finite populationGenetics Research, 1973
- The Mathematics of Heredity.Population Studies, 1970
- Regular Probability Measures on Function SpaceAnnals of Mathematics, 1959
- Random processes in geneticsMathematical Proceedings of the Cambridge Philosophical Society, 1958