Abstract
Numerical iterations have shown that periodic haploid two-locus selection with nonoverlapping generations can produce large-scale cyclical behavior with a period differing significantly from the environmental period. Among other types, we observed slowly damping oscillations with very long periods, stable T-cycles with a length containing several environmental periods, and chaotic-like dynamics. Possible biological implications are discussed.
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- CARTER T. C., ROBERTSON A. A mathematical treatment of genetical recombination using a four-strand model. Proc R Soc Lond B Biol Sci. 1952 Apr 24;139(896):410–426. doi: 10.1098/rspb.1952.0021. [DOI] [PubMed] [Google Scholar]
- Felsenstein J. The theoretical population genetics of variable selection and migration. Annu Rev Genet. 1976;10:253–280. doi: 10.1146/annurev.ge.10.120176.001345. [DOI] [PubMed] [Google Scholar]
- Gillespie J. H. The molecular clock may be an episodic clock. Proc Natl Acad Sci U S A. 1984 Dec;81(24):8009–8013. doi: 10.1073/pnas.81.24.8009. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hastings A. Stable cycling in discrete-time genetic models. Proc Natl Acad Sci U S A. 1981 Nov;78(11):7224–7225. doi: 10.1073/pnas.78.11.7224. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kirzhner V. M., Liubich Iu I. Evoliutsionnoe uravnenie i predel'naia teorema dlia obshchikh geneticheskikh sistem bez otbora. Dokl Akad Nauk SSSR. 1974 Apr 1;215(4):776–779. [PubMed] [Google Scholar]