TY - JOUR
T1 - On the evolution of epistasis II
T2 - A generalized Wright-Kimura framework
AU - Liberman, Uri
AU - Puniyani, Amit
AU - Feldman, Marcus W.
N1 - Funding Information:
The authors thank Prof. W. Ewens for his careful reading of an earlier version and three anonymous reviewers for their insightful suggestions. This research supported in part by NIH Grant GM28016.
PY - 2007/3
Y1 - 2007/3
N2 - The evolution of fitness interactions between genes at two major loci is studied where the alleles at a third locus modify the epistatic interaction between the two major loci. The epistasis is defined by a parameter ε{lunate} and a matrix structure that specifies the nature of the interactions. When ε{lunate} = 0 the two major loci have additive fitnesses, and when these are symmetric the interaction matrices studied here produce symmetric viabilities of the Wright [1952. The genetics of quantitative variability. In: Reeve, E.C.R., Waddington, C.H. (Eds.), Quantitative Inheritance. Her Majesty's Stationary Office, London]-Kimura [1956. A model of a genetic system which leads to closer linkage by natural selection. Evolution 10, 278-281] form. Two such interaction matrices are studied, for one of which epistasis as measured by | ε{lunate} | always increases, and for the other it increases when the linkage between the major loci is tight enough and there is initial linkage disequilibrium. Increase of epistasis does not necessarily coincide with increase in equilibrium mean fitness.
AB - The evolution of fitness interactions between genes at two major loci is studied where the alleles at a third locus modify the epistatic interaction between the two major loci. The epistasis is defined by a parameter ε{lunate} and a matrix structure that specifies the nature of the interactions. When ε{lunate} = 0 the two major loci have additive fitnesses, and when these are symmetric the interaction matrices studied here produce symmetric viabilities of the Wright [1952. The genetics of quantitative variability. In: Reeve, E.C.R., Waddington, C.H. (Eds.), Quantitative Inheritance. Her Majesty's Stationary Office, London]-Kimura [1956. A model of a genetic system which leads to closer linkage by natural selection. Evolution 10, 278-281] form. Two such interaction matrices are studied, for one of which epistasis as measured by | ε{lunate} | always increases, and for the other it increases when the linkage between the major loci is tight enough and there is initial linkage disequilibrium. Increase of epistasis does not necessarily coincide with increase in equilibrium mean fitness.
KW - Epistasis
KW - Interaction matrix
KW - Linkage
KW - Mean fitness
KW - Modifier
UR - http://www.scopus.com/inward/record.url?scp=33846628526&partnerID=8YFLogxK
U2 - 10.1016/j.tpb.2006.10.002
DO - 10.1016/j.tpb.2006.10.002
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AN - SCOPUS:33846628526
SN - 0040-5809
VL - 71
SP - 230
EP - 238
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 2
ER -