UNEXPECTED BEHAVIOR IN TWO LOCUS GENETIC SYSTEMS: AN ANALYSIS OF MARGINAL UNDERDOMINANCE AT A STABLE EQUILIBRIUM
Author(s) -
Alan Hastings
Publication year - 1982
Publication title -
genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.792
H-Index - 246
eISSN - 1943-2631
pISSN - 0016-6731
DOI - 10.1093/genetics/102.1.129
Subject(s) - locus (genetics) , biology , generalization , phenomenon , allele , evolutionary biology , bifurcation theory , selection (genetic algorithm) , statistical physics , genetics , bifurcation , mathematical economics , mathematics , computer science , nonlinear system , physics , gene , mathematical analysis , quantum mechanics , artificial intelligence
The phenomenon of marginal underdominance at a stable equilibrium in a two-locus-two-allele deterministic selection model is studied analytically using bifurcation theory. This technique and additional numerical studies indicate several new aspects of the phenomenon that are of biological importance. Marginal underdominance can occur at both loci simultaneously and can be present in a model with small fitness differentials. This can occur for a fitness scheme that is a one parameter generalization of the classical symmetric fitness model.
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