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Chaotic dynamics of allele frequencies in condition-dependent mating systems

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  • Priklopil, Tadeas

Abstract

I study the dynamics of allele frequencies in sexually reproducing populations where the choosy sex has a preference for condition-dependent displays of the opposite sex. The condition of an individual is assumed to be shaped by frequency-dependent selection. For sufficiently strong preferences the dynamics becomes increasingly complex, and periodic orbits and chaos are observed. Moreover, multiple attractors can exist simultaneously. The results hold also when the choosy sex is allowed to maintain a moderate level of assortative mating. Complex dynamics, a well studied phenomenon in a purely ecological setting, has been rarely observed in ecologically motivated population genetic models.

Suggested Citation

  • Priklopil, Tadeas, 2012. "Chaotic dynamics of allele frequencies in condition-dependent mating systems," Theoretical Population Biology, Elsevier, vol. 82(2), pages 109-116.
    • Handle: RePEc:eee:thpobi:v:82:y:2012:i:2:p:109-116
    DOI: 10.1016/j.tpb.2012.06.001
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    References listed on IDEAS

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    1. Trotter, Meredith V. & Spencer, Hamish G., 2009. "Complex dynamics occur in a single-locus, multiallelic model of general frequency-dependent selection," Theoretical Population Biology, Elsevier, vol. 76(4), pages 292-298.
    2. Steven Siller, 2001. "Sexual selection and the maintenance of sex," Nature, Nature, vol. 411(6838), pages 689-692, June.
    3. Janne S. Kotiaho & Leigh W. Simmons & Joseph L. Tomkins, 2001. "Towards a resolution of the lek paradox," Nature, Nature, vol. 410(6829), pages 684-686, April.
    4. Aneil F. Agrawal, 2001. "Sexual selection and the maintenance of sexual reproduction," Nature, Nature, vol. 411(6838), pages 692-695, June.
    5. Schneider, Kristan A., 2008. "Maximization principles for frequency-dependent selection I: the one-locus two-allele case," Theoretical Population Biology, Elsevier, vol. 74(3), pages 251-262.
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    1. Trotter, Meredith V. & Spencer, Hamish G., 2009. "Complex dynamics occur in a single-locus, multiallelic model of general frequency-dependent selection," Theoretical Population Biology, Elsevier, vol. 76(4), pages 292-298.
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