TITLE

An introduction to the mathematical structure of the Wright-Fisher model of population genetics

AUTHOR(S)
Tran, Tat; Hofrichter, Julian; Jost, Jürgen
PUB. DATE
June 2013
SOURCE
Theory in Biosciences;Jun2013, Vol. 132 Issue 2, p73
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we develop the mathematical structure of the Wright-Fisher model for evolution of the relative frequencies of two alleles at a diploid locus under random genetic drift in a population of fixed size in its simplest form, that is, without mutation or selection. We establish a new concept of a global solution for the diffusion approximation (Fokker-Planck equation), prove its existence and uniqueness and then show how one can easily derive all the essential properties of this random genetic drift process from our solution. Thus, our solution turns out to be superior to the local solution constructed by Kimura.
ACCESSION #
87609189

 

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