Diffusion approximations of the two-locus Wright-Fisher model
S. Ethier, and T. Nagylaki. Journal of Mathematical Biology, 27 (1):
17--28(February 1989)
Abstract
Diffusion approximations are established for the multiallelic, two-locus Wright-Fisher model for mutation, selection, and random genetic drift in a finite, panmictic, monoecious, diploid population. All four combinations of weak or strong selection and tight or loose linkage are treated, though the proof in the case of strong selection and loose linkage is incomplete. Under certain conditions, explicit formulas are obtained for the stationary distributions of the two diffusions with loose linkage.
ER -
Description
Diffusion approximations of the two-locus Wright-Fisher model
%0 Journal Article
%1 ethier_nagylaki
%A Ethier, S. N.
%A Nagylaki, Thomas
%D 1989
%J Journal of Mathematical Biology
%K diffusion_limits selection
%N 1
%P 17--28
%T Diffusion approximations of the two-locus Wright-Fisher model
%U http://dx.doi.org/10.1007/BF00276078
%V 27
%X Diffusion approximations are established for the multiallelic, two-locus Wright-Fisher model for mutation, selection, and random genetic drift in a finite, panmictic, monoecious, diploid population. All four combinations of weak or strong selection and tight or loose linkage are treated, though the proof in the case of strong selection and loose linkage is incomplete. Under certain conditions, explicit formulas are obtained for the stationary distributions of the two diffusions with loose linkage.
ER -
@article{ethier_nagylaki,
abstract = {Diffusion approximations are established for the multiallelic, two-locus Wright-Fisher model for mutation, selection, and random genetic drift in a finite, panmictic, monoecious, diploid population. All four combinations of weak or strong selection and tight or loose linkage are treated, though the proof in the case of strong selection and loose linkage is incomplete. Under certain conditions, explicit formulas are obtained for the stationary distributions of the two diffusions with loose linkage.
ER -},
added-at = {2008-03-21T00:29:00.000+0100},
author = {Ethier, S. N. and Nagylaki, Thomas},
biburl = {https://www.bibsonomy.org/bibtex/28077424b2cd37983f56a01bf329b1469/peter.ralph},
description = {Diffusion approximations of the two-locus Wright-Fisher model},
interhash = {a79657ec81fd27ad586fd4bc85422b2f},
intrahash = {8077424b2cd37983f56a01bf329b1469},
journal = {Journal of Mathematical Biology},
keywords = {diffusion_limits selection},
month = {#feb#},
number = 1,
pages = {17--28},
timestamp = {2008-03-21T00:29:00.000+0100},
title = {Diffusion approximations of the two-locus Wright-Fisher model},
url = {http://dx.doi.org/10.1007/BF00276078},
volume = 27,
year = 1989
}