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.
Publié le : 2010-10-15
Classification:
Poisson random field,
DNA sequences,
diffusion approximation,
population genetics,
60J70,
92D10,
92D20,
92D15,
60F99
@article{1282747397,
author = {Amei, Amei and Sawyer, Stanley},
title = {A time-dependent Poisson random field model for polymorphism within and between two related biological species},
journal = {Ann. Appl. Probab.},
volume = {20},
number = {1},
year = {2010},
pages = { 1663-1696},
language = {en},
url = {http://dml.mathdoc.fr/item/1282747397}
}
Amei, Amei; Sawyer, Stanley. A time-dependent Poisson random field model for polymorphism within and between two related biological species. Ann. Appl. Probab., Tome 20 (2010) no. 1, pp. 1663-1696. http://gdmltest.u-ga.fr/item/1282747397/