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

Details 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

2010-11-08

arxiv.org/abs/1011.1724v1

Annals of Applied Probability 2010, Vol. 20, No. 5, 1663-1696

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AAP668 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/09-AAP668

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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