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A general condition for adaptive genetic polymorphism in temporally and spatially heterogeneous environments

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  • Svardal, Hannes
  • Rueffler, Claus
  • Hermisson, Joachim

Abstract

Both evolution and ecology have long been concerned with the impact of variable environmental conditions on observed levels of genetic diversity within and between species. We model the evolution of a quantitative trait under selection that fluctuates in space and time, and derive an analytical condition for when these fluctuations promote genetic diversification. As ecological scenario we use a generalized island model with soft selection within patches in which we incorporate generation overlap. We allow for arbitrary fluctuations in the environment including spatio-temporal correlations and any functional form of selection on the trait. Using the concepts of invasion fitness and evolutionary branching, we derive a simple and transparent condition for the adaptive evolution and maintenance of genetic diversity. This condition relates the strength of selection within patches to expectations and variances in the environmental conditions across space and time. Our results unify, clarify, and extend a number of previous results on the evolution and maintenance of genetic variation under fluctuating selection. Individual-based simulations show that our results are independent of the details of the genetic architecture and whether reproduction is clonal or sexual. The onset of increased genetic variance is predicted accurately also in small populations in which alleles can go extinct due to environmental stochasticity.

Suggested Citation

  • Svardal, Hannes & Rueffler, Claus & Hermisson, Joachim, 2015. "A general condition for adaptive genetic polymorphism in temporally and spatially heterogeneous environments," Theoretical Population Biology, Elsevier, vol. 99(C), pages 76-97.
    • Handle: RePEc:eee:thpobi:v:99:y:2015:i:c:p:76-97
    DOI: 10.1016/j.tpb.2014.11.002
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    References listed on IDEAS

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    1. Johansson, Jacob & Ripa, Jörgen & Kuckländer, Nina, 2010. "The risk of competitive exclusion during evolutionary branching: Effects of resource variability, correlation and autocorrelation," Theoretical Population Biology, Elsevier, vol. 77(2), pages 95-104.
    2. Taylor, Jesse E., 2008. "Environmental variation, fluctuating selection and genetic drift in subdivided populations," Theoretical Population Biology, Elsevier, vol. 74(3), pages 233-250.
    3. Ulf Dieckmann & Michael Doebeli, 1999. "On the origin of species by sympatric speciation," Nature, Nature, vol. 400(6742), pages 354-357, July.
    4. U. Dieckmann & M. Doebeli, 1999. "On the Origin of Species by Sympatric Speciation," Working Papers ir99013, International Institute for Applied Systems Analysis.
    5. G. Meszena & I. Czibula & S.A.H. Geritz, 1997. "Adaptive Dynamics in a 2-patch Environment: a Simple Model for Allopatric and Parapatric Speciation," Working Papers ir97001, International Institute for Applied Systems Analysis.
    6. U. Dieckmann & R. Law, 1996. "The Dynamical Theory of Coevolution: A Derivation from Stochastic Ecological Processes," Working Papers wp96001, International Institute for Applied Systems Analysis.
    7. Nurmi, Tuomas & Parvinen, Kalle, 2008. "On the evolution of specialization with a mechanistic underpinning in structured metapopulations," Theoretical Population Biology, Elsevier, vol. 73(2), pages 222-243.
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    Cited by:

    1. Priklopil, Tadeas & Lehmann, Laurent, 2021. "Metacommunities, fitness and gradual evolution," Theoretical Population Biology, Elsevier, vol. 142(C), pages 12-35.
    2. Schreiber, Sebastian J., 2020. "When do factors promoting genetic diversity also promote population persistence? A demographic perspective on Gillespie’s SAS-CFF model," Theoretical Population Biology, Elsevier, vol. 133(C), pages 141-149.
    3. Peter Chesson, 2017. "AEDT: A new concept for ecological dynamics in the ever-changing world," PLOS Biology, Public Library of Science, vol. 15(5), pages 1-13, May.

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