A general solution of the Wright-Fisher model of random genetic drift
Tat-Dat Tran, Julian Hofrichter, Juergen Jost
TL;DR
This paper presents a comprehensive mathematical solution to the Fokker-Planck equation modeling genetic drift in populations with multiple alleles, enabling better understanding of allele frequency evolution.
Contribution
It introduces a general solution for the diffusion limit of the Wright-Fisher model applicable to any number of alleles at a single locus.
Findings
Provides a unified framework for allele frequency dynamics.
Enables analytical insights into multi-allelic genetic drift.
Facilitates future research in population genetics modeling.
Abstract
We develop a general solution for the Fokker-Planck (Kolomogorov) equation representing the diffusion limit of the Wright-Fisher model of random genetic drift for an arbitrary number of alleles at a single locus. From this solution, we can readily deduce information about the evolution of a Wright-Fisher population.
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