PHASE THREE OF WRIGHT'S SHIFTING‐BALANCE THEORY

We examine the third phase of Wright's shifting‐balance theory of evolution, the exportation by migration of favorable gene combinations from a fitter subgroup to the rest of the population. The equations are deterministic and are studied numerically. Most of the models studied involve 2–9 loci in which all intermediates between two extreme genotypes are equally unfit. If the favored combination consists of dominant alleles, it is usually fixed even if the migration rate is two orders of magnitude less than the selection coefficient, and if the combination is recessive, one order. Although Wright thought of migration as being essentially one‐way, two‐way migration does not significantly alter the results. We conclude that, whatever weaknesses the Wright theory may have, they are not in phase III.

[1]  M. Slatkin FIXATION PROBABILITIES AND FIXATION TIMES IN A SUBDIVIDED POPULATION , 1981, Evolution; international journal of organic evolution.

[2]  J. Felsenstein,et al.  The effect of linkage on directional selection. , 1965, Genetics.

[3]  S Wright,et al.  The Differential Equation of the Distribution of Gene Frequencies. , 1945, Proceedings of the National Academy of Sciences of the United States of America.

[4]  S. Wright Surfaces of Selective Value Revisited , 1988, The American Naturalist.

[5]  R. Lande Expected time for random genetic drift of a population between stable phenotypic states. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[6]  N. Barton,et al.  The frequency of shifts between alternative equilibria. , 1987, Journal of theoretical biology.

[7]  B. Charlesworth,et al.  THE PROBABILITY OF PEAK SHIFTS IN A FOUNDER POPULATION. II. AN ADDITIVE POLYGENIC TRAIT , 1988, Evolution; international journal of organic evolution.

[8]  Sewall Wright,et al.  The Relation of Livestock Breeding to Theories of Evolution , 1978 .

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

[10]  W. E. Ritter AS TO THE CAUSES OF EVOLUTION. , 1923, Science.

[11]  Y. Svirezhev,et al.  Diffusion Models of Population Genetics , 1990 .

[12]  Sydney Smith,et al.  Darwin's biological work—some aspects reconsidered. , 1960 .

[13]  Nicholas H. Barton,et al.  Speciation and the “shifting balance” in a continuous population , 1987 .

[14]  B. Charlesworth,et al.  Genetic Revolutions, Founder Effects, and Speciation , 1984 .