The effect of non-additive genetic interactions on selection in multi-locus genetic models

Additive genetic variance might usually be expected to decrease in a finite population because of genetic drift. However, both theoretical and empirical studies have shown that the additive genetic variance of a population could, in some cases, actually increase owing to the action of genetic drift in presence of non-additive effects. We used Monte–Carlo simulations to address a less-well-studied issue: the effects of directional truncation selection on a trait affected by non-additive genetic variation. We investigated the effects on genetic variance and the response to selection. We compared two different genetic models, representing various numbers of loci. We found that the additive genetic variance could also increase in the case of truncation selection, when dominance and epistasis was present. Additive-by-additive epistatic effects generally gave a higher increase in additive variance compared to dominance. However, the magnitude of the increase differed depending on the particular model and on the number of loci.

[1]  THE EFFECT OF EPISTASIS ON THE EXCESS OF THE ADDITIVE AND NONADDITIVE VARIANCES AFTER POPULATION BOTTLENECKS , 2002, Evolution; international journal of organic evolution.

[2]  Computer simulation of directional selection in large populations. II. The additive x additive and mixed models. , 1967, Genetics.

[3]  A. Gimelfarb Genotypic variation for a quantitative character maintained under stabilizing selection without mutations: epistasis. , 1989, Genetics.

[4]  J L GILL EFFECTS OF FINITE SIZE ON SELECTION ADVANCE IN SIMULATED GENETIC POPULATIONS. , 1965, Australian journal of biological sciences.

[5]  S. Leal Genetics and Analysis of Quantitative Traits , 2001 .

[6]  L. Penrose,et al.  THE CORRELATION BETWEEN RELATIVES ON THE SUPPOSITION OF MENDELIAN INHERITANCE , 2022 .

[7]  C. López-Fanjul,et al.  INBREEDING INCREASES GENETIC VARIANCE FOR VIABILITY IN DROSOPHILA MELANOGASTER , 1989, Evolution; international journal of organic evolution.

[8]  M. Bulmer The Mathematical Theory of Quantitative Genetics , 1981 .

[9]  W. G. Hill,et al.  Effect of short term directional selection on genetic variability: experiments with Drosophila melanogaster , 1982, Heredity.

[10]  R. Fisher XV.—The Correlation between Relatives on the Supposition of Mendelian Inheritance. , 1919, Transactions of the Royal Society of Edinburgh.

[11]  Z. Zeng,et al.  Modeling epistasis of quantitative trait loci using Cockerham's model. , 2002, Genetics.

[12]  C. Cockerham,et al.  An Extension of the Concept of Partitioning Hereditary Variance for Analysis of Covariances among Relatives When Epistasis Is Present. , 1954, Genetics.

[13]  M. Kimura,et al.  An introduction to population genetics theory , 1971 .

[14]  H. Grüneberg,et al.  Introduction to quantitative genetics , 1960 .

[15]  W. G. Hill,et al.  Bottleneck effect on genetic variance. A theoretical investigation of the role of dominance. , 1998, Genetics.

[16]  E. H. Bryant,et al.  Nonadditive genetic structuring of morphometric variation in relation to a population bottleneck , 1996, Heredity.

[17]  B. Walsh The struggle to exploit non-additive variation , 2005 .

[18]  H. A. Orr,et al.  The genetics of species differences. , 2001 .

[19]  L. Andersson,et al.  Epistasis and the release of genetic variation during long-term selection , 2006, Nature Genetics.

[20]  Selection Dynamics and Limits under Additive × Additive Epistatic Gene Action , 2003 .

[21]  Chris S. Haley,et al.  Epistasis: too often neglected in complex trait studies? , 2004, Nature Reviews Genetics.

[22]  J. Cheverud,et al.  EPISTASIS AS A SOURCE OF INCREASED ADDITIVE GENETIC VARIANCE AT POPULATION BOTTLENECKS , 1996, Evolution; international journal of organic evolution.

[23]  H. A. Orr,et al.  INCREASED HERITABLE VARIATION FOLLOWING POPULATION BOTTLENECKS: THE ROLE OF DOMINANCE , 1993, Evolution; international journal of organic evolution.

[24]  J. Sölkner,et al.  Impact of dominance and epistasis on the genetic make-up of simulated populations under selection: a model development. , 1997, Journal of animal breeding and genetics = Zeitschrift fur Tierzuchtung und Zuchtungsbiologie.

[25]  J. Slate,et al.  INVITED REVIEW: Quantitative trait locus mapping in natural populations: progress, caveats and future directions , 2004, Molecular ecology.

[26]  Joachim Hermisson,et al.  The role of epistatic gene interactions in the response to selection and the evolution of evolvability. , 2005, Theoretical population biology.

[27]  C. Laurie,et al.  The Genetic Architecture of Response to Long-Term Artificial Selection for Oil Concentration in the Maize Kernel , 2004, Genetics.

[28]  P. Waldmann Additive and non-additive genetic architecture of two different-sized populations of Scabiosa canescens , 2001, Heredity.

[29]  EFFECTS OF GENETIC DRIFT ON VARIANCE COMPONENTS UNDER A GENERAL MODEL OF EPISTASIS , 2004, Evolution; international journal of organic evolution.

[30]  C. Goodnight EPISTASIS AND THE EFFECT OF FOUNDER EVENTS ON THE ADDITIVE GENETIC VARIANCE , 1988, Evolution; international journal of organic evolution.

[31]  S S Young Computer simulation of directional selection in large populations. I. The programme, the additive and the dominance models. , 1966, Genetics.

[32]  O. Kempthorne,et al.  The correlation between relatives in a random mating population , 1954, Proceedings of the Royal Society of London. Series B - Biological Sciences.

[33]  Selection and linkage in simulated genetic populations. , 1965, Australian journal of biological sciences.

[34]  W. G. Hill,et al.  Analysis of response to 20 generations of selection for body composition in mice: fit to infinitesimal model assumptions , 2000, Genetics Selection Evolution.

[35]  J. Cheverud,et al.  EPISTASIS AND THE EVOLUTION OF ADDITIVE GENETIC VARIANCE IN POPULATIONS THAT PASS THROUGH A BOTTLENECK , 1999, Evolution; international journal of organic evolution.

[36]  E. H. Bryant,et al.  The Effect of an Experimental Bottleneck upon Quantitative Genetic Variation in the Housefly. , 1986, Genetics.

[37]  Kenneth Mather,et al.  Biometrical genetics , 1972, Heredity.

[38]  A. Fraser An introduction to population genetic theory. By J. F. Crow and M. Kimura. Harper and Row, New York. 656 pp. 1970 , 1972 .

[39]  A. García-Dorado,et al.  THE GENETICS OF VIABILITY IN DROSOPHILA MELANOGASTER: EFFECTS OF INBREEDING AND ARTIFICIAL SELECTION , 1994, Evolution; international journal of organic evolution.

[40]  N. Barton,et al.  Multifactorial genetics: Understanding quantitative genetic variation , 2002, Nature Reviews Genetics.

[41]  Z. Zeng,et al.  Modeling Quantitative Trait Loci and Interpretation of Models , 2005, Genetics.