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Population structure, fitness surfaces, and linkage in the shifting balance process

Published online by Cambridge University Press:  14 April 2009

Aviv Bergman ,
David B. Goldstein ,
Kent E. Holsinger  and
Marcus W. Feldman
Aviv Bergman*
Affiliation:
Interval Research Corporation, 1801 Page Mill Rd. Building. C, Palo Alto, CA 94304 Department of Biological Sciences, Stanford University, Stanford, CA 94305
David B. Goldstein
Affiliation:
Interval Research Corporation, 1801 Page Mill Rd. Building. C, Palo Alto, CA 94304 Department of Biological Sciences, Stanford University, Stanford, CA 94305
Kent E. Holsinger
Affiliation:
Department of Ecology and Evolutionary Biology, University of Connecticut, Storrs CT 06268
Marcus W. Feldman
Affiliation:
Interval Research Corporation, 1801 Page Mill Rd. Building. C, Palo Alto, CA 94304 Department of Biological Sciences, Stanford University, Stanford, CA 94305
*
* Corresponding author.
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Wright first introduced the idea that random genetic drift and classical mass-action selection might combine in such a way as to allow populations to find the highest peak in complicated adaptive surfaces. His theory assumes large but structured populations, in which mating is spatially local. If gene flow is sufficiently low, and the subpopulations (demes) are small enough, they will be subject to genetic drift. Distant demes drift independently, allowing many independent searches of the adaptive surface to take place. A deme that has shifted to a higher peak can, by emigration, cause the rest of the demes to shift to the higher peak. The probability of this shift depends on the migration rate. Previous studies have concluded that very little migration is necessary to effect the shift in adaptive peaks that characterizes the last phase of Wright's Shifting Balance Process (SBP).

Here we present the results of a computer study that investigates the roles of dispersal distance, the degree of epistasis in the fitness surface, and recombination on the shifting balance process. In particular, we measure their effect on the population's mean fitness. We show that over a range of dispersal distances the advantage of the SBP is a monotonically increasing function of the amount of epistasis. Our results show that the extent of dispersal that results in the greatest effect of the SBP in increasing mean fitness depends on the extent of epistasis. Finally, for low levels of epistasis, higher recombination performs better, while for intermediate levels, lower recombination results in a greater advantage of the SBP.

Type
Research Article
Information
Genetics Research , Volume 66 , Issue 1 , August 1995 , pp. 85 - 92
Copyright
Copyright © Cambridge University Press 1995

References

Barton, N. H. (1992). On the spread of new gene combinations in the third phase of Wright's shifting balance. Evolution 46, 551–557.Google ScholarPubMed
Barton, N. H., & Rouhani, S. (1993). Adaptation and the ‘shifting balance’. Genetical Research 61 (1), 57–74.CrossRefGoogle Scholar
Bergman, A., & Feldman, M. W. (1992). Recombination dynamics and the fitness landscape. Physica D. 56, 57–67.CrossRefGoogle Scholar
Christiansen, F. B., Otto, S. P., Feldman, M. W., & Bergman, A. (1994). Waiting with and without recombination: The time to production of a double mutant, (in preparation).Google Scholar
Crow, J. F., Engels, W. R., & Denniston, C. (1990). Phase three of Wright's shifting-balance theory. Evolution 44 (2), 233–247.CrossRefGoogle ScholarPubMed
Ewens, W. J. (1979). Mathematical Population Genetics. Berlin: Springer-Verlag.Google Scholar
Fisher, R. A. (1930). The Genetic Theory of Natural Selection. Oxford: Clarendon Press.Google Scholar
Goldstein, D. B., & Holsinger, K. H. (1992). Maintenance of polygenic variation in spatially structured populations: Roles for local mating and genetic redundancy. Evolution 46 (2), 412–429.CrossRefGoogle ScholarPubMed
Haldane, J. B. S. (1932). The Causes of Evolution. New York: Harper [Reprinted, 1966, Cornell University Press, Ithaca].Google Scholar
Kauffman, S. A. (1989). Adaptation on rugged fitness landscapes, pp. 527–618. In Lectures in the Sciences of Complexity, (ed. Stein, D. L.), Redwood City, California: Addison-Wesley.Google Scholar
Kauffman, S. A. (1993). The Origin of Order. Oxford: Oxford University Press.CrossRefGoogle Scholar
Kimura, M. (1964). Diffusion models in population genetics. Journal of Applied Probability 1, 177–232.CrossRefGoogle Scholar
Kimura, M., & Weiss, G. H. (1964). The stepping stone model of population structure and the decrease of genetic correlation with distance. Genetics 49, 561–576.CrossRefGoogle ScholarPubMed
Lande, R. (1985). The fixation of chromosomal rearrangements in subdivided population with local extinction and recolonization. Heredity 54, 323–332.CrossRefGoogle Scholar
Malecot, G. (1969). The Mathematics of Heredity. San Francisco: W. H. Freeman and Company.Google Scholar
Moore, F. B. G., & Tonsor, S. J. (1994). A simulation of Wright's shifting-balance process: migration and the three phases. Evolution 48 (1), 69–80.Google ScholarPubMed
Provine, W. B. (1986). Sewall Wright and Evolutionary Biology. Chicago: The University of Chicago Press.Google Scholar
Sokal, R. R., & Rohlf, F. J. (1995). Biometry, 3rd edition. New York: Freeman and Co.Google Scholar
Sumida, B. H., & Hamilton, W. D. (1994). Both Wrightian and “parasite” peak shifts enhance genetic algorithm performance in the travelling salesman problem, pp. 254–279. In Computing with Biological Metaphors, (ed. Paton, R.), London: Chapman and Hall.Google Scholar
Wright, S. (1931). Evolution in mendelian populations. Genetics 16, 97–156.CrossRefGoogle ScholarPubMed
Wright, S. (1965). Factor interaction and linkage in evolution. Proceedings of the Royal Society of London Series B. 162, 80–104.Google Scholar
Wright, S. (1982). Character change, speciation and the higher taxa. Evolution 36, 427–443.CrossRefGoogle ScholarPubMed