TY - JOUR
T1 - On the meaning of non-epistatic selection
AU - Puniyani, Amit
AU - Liberman, Uri
AU - Feldman, Marcus W.
N1 - Funding Information:
The authors thank Prof. Warren Ewens for his careful reading of an earlier draft. This research supported in part by NIH Grant GM-28016.
PY - 2004/12
Y1 - 2004/12
N2 - In population genetics, the additive and multiplicative viability models are often used for the quantitative description of models in which the genetic contributions of several different loci are independent; that is, there is no epistasis. Non-epistasis may also be quantitatively defined in terms of measures of interaction used widely in statistics. Setting these measures of epistasis to zero yields alternative definitions of non-epistasis. We show here that these two definitions of non-epistasis are equivalent; that is, in the most general case of a multilocus, multiallele system, the additive and multiplicative viability models are unique solutions of the additive and multiplicative conditions, respectively, for non-epistasis.
AB - In population genetics, the additive and multiplicative viability models are often used for the quantitative description of models in which the genetic contributions of several different loci are independent; that is, there is no epistasis. Non-epistasis may also be quantitatively defined in terms of measures of interaction used widely in statistics. Setting these measures of epistasis to zero yields alternative definitions of non-epistasis. We show here that these two definitions of non-epistasis are equivalent; that is, in the most general case of a multilocus, multiallele system, the additive and multiplicative viability models are unique solutions of the additive and multiplicative conditions, respectively, for non-epistasis.
KW - Additive viability model
KW - Multiplicative viability model
KW - Non-epistasis
UR - http://www.scopus.com/inward/record.url?scp=9244227637&partnerID=8YFLogxK
U2 - 10.1016/j.tpb.2004.05.001
DO - 10.1016/j.tpb.2004.05.001
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AN - SCOPUS:9244227637
SN - 0040-5809
VL - 66
SP - 317
EP - 321
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 4
ER -