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Cyclical dynamics under constant selection against mutations in haploid and diploid populations with facultative selfing

Published online by Cambridge University Press:  10 March 2003

HSIAO-PEI YANG  and
ALEXEY S. KONDRASHOV
HSIAO-PEI YANG
Affiliation:
Department of Ecology and Evolutionary Biology, Cornell University, Ithaca, NY 14853, USA Present address: Section of Evolution and Ecology, University of California at Davis, Storer Hall, One Shields Ave, Davis, CA 95616, USA. Tel: +1 530 754 9734. Fax: +1 530 752 1449. e-mail: hpyang@ucdavis.edu
ALEXEY S. KONDRASHOV
Affiliation:
National Center for Biotechnology Information, National Institutes of Health, Bethesda, MD 20894, USA

Abstract

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We have found that constant selection against mutations can cause cyclical dynamics in a population with facultative selfing. When this happens, the distribution of the number of deleterious mutations per genotype fluctuates with the period ∼1/sHe generations, where sHe is the coefficient of selection against a heterozygous mutation. The amplitude of oscillations of the mean population fitness often exceeds an order of magnitude. Cyclical dynamics can occur under intermediate selfing rates if selection against heterozygous mutations is weak and selection against homozygous mutations is much stronger. Cycling is possible without epistasis or with diminishing-returns epistasis, but not with synergistic epistasis. Under multiplicative selection, cycling might happen if the haploid mutation rate exceeds 1·9 in the case of selfing of haploids, and if this diploid mutation rate exceeds 4·5 in the case of selfing of diploids. We propose a heuristic explanation for cycling under facultative selfing and discuss its possible relevance.

Type
Research Article
Information
Genetics Research , Volume 81 , Issue 1 , February 2003 , pp. 1 - 6
Copyright
© 2003 Cambridge University Press