Genetic variation of polygenic characters and the evolution of genetic degeneracy

The classical model of mutation–selection balance for quantitative characters sums the effects of individual sites to determine overall character value. I develop an alternative version of this classical model in which character value depends on the averaging of the effects of the individual sites. In this new averaging model, the equilibrium patterns of variance in allelic effects and character values change with the number of sites that affect a character in a different way from the classical model of summing effects. Besides changing the patterns of variance, the averaging model favours the addition of loci to the control of character values, perhaps explaining in part the recent observation of widespread genetic degeneracy.

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

[2]  N. Gostling,et al.  From DNA to Diversity: Molecular Genetics and the Evolution of Animal Design , 2002, Heredity.

[3]  M. Ptashne,et al.  Genes and Signals , 2001 .

[4]  M. Kimura.  A stochastic model concerning the maintenance of genetic variability in quantitative characters. , 1965, Proceedings of the National Academy of Sciences of the United States of America.

[5]  M. Slatkin.  Heritable variation and heterozygosity under a balance between mutations and stabilizing selection. , 1987, Genetical research.

[6]  M Slatkin,et al.  The distribution of allelic effects under mutation and selection. , 1990, Genetical research.

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

[8]  D. Falconer.  Introduction to quantitative genetics. 1. ed. , 1984 .

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

[10]  G. Edelman,et al.  Degeneracy and complexity in biological systems , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[11]  Ronald W. Davis,et al.  Functional characterization of the S. cerevisiae genome by gene deletion and parallel analysis. , 1999, Science.

[12]  E. Davidson.  Genomic Regulatory Systems: Development and Evolution , 2005 .

[13]  M. Turelli.  Heritable genetic variation via mutation-selection balance: Lerch's zeta meets the abdominal bristle. , 1984, Theoretical population biology.

[14]  Martin A. Nowak,et al.  Evolution of genetic redundancy , 1997, Nature.

[15]  R. Frankham.  Introduction to quantitative genetics (4th edn): by Douglas S. Falconer and Trudy F.C. Mackay Longman, 1996. £24.99 pbk (xv and 464 pages) ISBN 0582 24302 5 , 1996 .

[16]  S. Leibler,et al.  Robustness in simple biochemical networks , 1997, Nature.