Urn Models have a Place in Genetics

A simple application of urn models is useful in spelling out the way in which, in abstraction, if the parents are distributed in Hardy-Weinberg form, that form is reproduced in offspring with nonrandom mating. A measure of divergence from random mating is proposed and illustrated by numerical examples. The scope of urn models of stochastic processes in population genetics theory is set out.

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Publication Details

Journal
Twin Research and Human Genetics
Published
2026-01-16
DOI
https://doi.org/10.1017/thg.2025.10035
Primary Topic
Stochastic processes and statistical mechanics
Type
article
Field-Weighted Citation Impact
0.00
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article

Urn Models have a Place in Genetics

Alan E. Stark
Twin Research and Human Genetics
Stochastic processes and statistical mechanics
article

Urn Models have a Place in Genetics

Alan E. Stark
article en

Abstract

A simple application of urn models is useful in spelling out the way in which, in abstraction, if the parents are distributed in Hardy-Weinberg form, that form is reproduced in offspring with nonrandom mating. A measure of divergence from random mating is proposed and illustrated by numerical examples. The scope of urn models of stochastic processes in population genetics theory is set out.

Twin Research and Human Genetics
The University of Sydney (AU)
Zero hunger
Openalex Percentile: Top 81%
Stochastic processes and statistical mechanics
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Urn Models have a Place in Genetics — Alan E. Stark · Twin Research and Human Genetics (2026) | TGRS Research Map | TGRS