A time-dependent Poisson random field model for polymorphism within and between two related biological species

A time-dependent Poisson random field model for polymorphism within and between two related biological species

Amei Amei and Stanley Sawyer

Source: Ann. Appl. Probab. Volume 20, Number 5 (2010), 1663-1696.

Abstract

We derive a Poisson random field model for population site polymorphisms differences within and between two species that share a relatively recent common ancestor. The model can be either equilibrium or time inhomogeneous. We first consider a random field of Markov chains that describes the fate of a set of individual mutations. This field is approximated by a Poisson random field from which we can make inferences about the amounts of mutation and selection that have occurred in the history of observed aligned DNA sequences.

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Primary Subjects: 60J70, 92D10, 92D20

Secondary Subjects: 92D15, 60F99

Keywords: Poisson random field; DNA sequences; diffusion approximation; population genetics

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aoap/1282747397
Digital Object Identifier: doi:10.1214/09-AAP668
Zentralblatt MATH identifier: 05795067
Mathematical Reviews number (MathSciNet): MR2724417

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