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PMID: 3611978 Published · ppublish English Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

The sampling theory of neutral alleles and an urn model in population genetics.

Journal of mathematical biology ·Vol. 25 ·No. 2 ·1987-00-00 ·Pages 123-59

Hoppe FM

Abstract

The behaviour of a Pólya-like urn which generates Ewens' sampling formula in population genetics is investigated. Connections are made with work of Watterson and Kingman and to the Poisson-Dirichlet distribution. The order in which novel types occur in the urn is shown to parallel the age distribution of the infinitely many alleles diffusion model and consequences of this property are explored. Finally the urn process is related to Kingman's coalescent with mutation to provide a rigorous basis for this parallel.

MeSH Terms
Alleles Biometry Genetics, Population Models, Genetic Random Allocation
Authors & Affiliations
1 authors, click to expand affiliations / ORCID
Hoppe F M
References (11)
11 references, click to expand
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Article Info
Journal
Journal of mathematical biology
Abbr.
J Math Biol
ISSN
0303-6812
DOI
10.1007/BF00276386
Published
1987-00-00
Pages
123-59
Language
English
Region
Germany
NLM ID
7502105
Subset
IM
External Links
PubMed source DOI: 10.1007/BF00276386 View journal details
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