Premium
Moment expansion approach to the time dynamics of genetic evolution
Author(s) -
RastegarSedehi HamidReza,
Byrnes Tim,
Khordad Reza
Publication year - 2020
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.26089
Subject(s) - moment (physics) , selection (genetic algorithm) , statistical physics , mutation , dynamics (music) , maxima , allele , evolutionary dynamics , physics , mathematics , computer science , biology , classical mechanics , genetics , art , performance art , art history , acoustics , population , demography , artificial intelligence , sociology , gene
We use moment expansion methods to analyze the time dynamics for genetic evolution under selection, mutation, and reproduction. We consider a N ‐allele diploid genotype reproducing randomly in a fitness landscape with either one or two maxima, and mutation is assumed to occur such that any allele can mutate into any other type. We find that the moment expansion works well, where a small number of moments can capture the general behavior toward equilibrium. Our methods allow a systematic way to capture the time dynamics of the evolutionary process efficiently using a small number of coupled equations.