Selection for linkage modification. I. Random mating populations.

Abstract The diploid system with chromosomes MAB, MAb, MaB and Mab is at equilibrium under selection and recombination between A a and B b loci. The M locus controls this recombination. Using local analysis near the original equilibrium, the fate of a selectively neutral recombination modifying allele ‘m’ introduced at the ‘M’ locus is investigated in the cases where the selective regimes are additive, multiplicative and symmetric. It is found that if initially there is linkage disequilibrium, ‘m’ will increase if it produces tighter linkage between the other two loci. The existence of epistasis, either additive or multiplicative, is shown not to be sufficient for recombination to be modified at a geometric rate.

[1]  M. Feldman,et al.  The evolution of dominance: a direct approach through the theory of linkage and selection. , 1971, Theoretical population biology.

[2]  Sewall Wright,et al.  Fisher's Theory of Dominance , 1929, The American Naturalist.

[3]  Walter F. Bodmer,et al.  Linkage and Recombination in Evolution , 1962 .

[4]  M. Nei,et al.  Linkage modifications and sex difference in recombination. , 1969, Genetics.

[5]  Rory A. Fisher,et al.  The Possible Modification of the Response of the Wild Type to Recurrent Mutations , 1928, The American Naturalist.

[6]  S Karlin,et al.  Linkage and selection: two locus symmetric viability model. , 1970, Theoretical population biology.

[7]  W. Maas.  Studies on repression of arginine biosynthesis in Escherichia coli. , 1961, Cold Spring Harbor symposia on quantitative biology.

[8]  R. A. Fisher,et al.  The Genetical Theory of Natural Selection , 1931 .

[9]  M. Feldman.  Equilibrium studies of two locus haploid populations with recombination. , 1971, Theoretical population biology.

[10]  M. Feldman,et al.  Convergence to equilibrium of the two locus additive viability model , 1970, Journal of Applied Probability.

[11]  P. Moran.  On the theory of selection dependent on two loci , 1968, Annals of human genetics.

[12]  R. Lewontin,et al.  THE EVOLUTIONARY DYNAMICS OF COMPLEX POLYMORPHISMS , , , 1960 .

[13]  J. Turner.  WHY DOES THE GENOTYPE NOT CONGEAL? , 1967, Evolution; international journal of organic evolution.

[14]  I. Eshel,et al.  On evolution in a population with an infinite number of types. , 1971, Theoretical population biology.

[15]  G. Simchen.  Genetic control of recombination and the incompatibility system in Schizophyllum commune , 1967 .

[16]  S. Wright.  The genetics of quantitative variability. , 1952 .

[17]  J. Haldane.  A Mathematical Theory of Natural Selection. Part VIII. Metastable Populations , 1931, Mathematical Proceedings of the Cambridge Philosophical Society.

[18]  N. Horowitz,et al.  The Evolution of Biochemical Syntheses — Retrospect and Prospect , 1965 .

[19]  M. Kimura.  A MODEL OF A GENETIC SYSTEM WHICH LEADS TO CLOSER LINKAGE BY NATURAL SELECTION , 1956 .

[20]  M. Nei,et al.  Modification of linkage intensity by natural selection. , 1967, Genetics.

[21]  R. Lewontin,et al.  The effect of genetic linkage on the mean fitness of a population. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[22]  W F Bodmer,et al.  Linkage and selection: theoretical analysis of the deterministic two locus random mating model. , 1967, Genetics.

[23]  M. Feldman,et al.  On the evolutionary effect of recombination. , 1970, Theoretical population biology.

[24]  J. McGregor,et al.  On mutation selection balance for two-locus haploid and diploid populations. , 1971, Theoretical population biology.

[25]  J. Stamberg.  Genetic control of recombination in Schizophyllum commune: the occurrence and significance of natural variation , 1969, Heredity.