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A model of sympatric speciation through assortative mating

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  • Bagnoli, Franco
  • Guardiani, Carlo

Abstract

A microscopic model is developed, within the frame of the theory of quantitative traits, to study the combined effect of competition and assortativity on the sympatric speciation process, i.e., speciation in the absence of geographical barriers. Two components of fitness are considered: a static one that describes adaptation to environmental factors not related to the population itself, and a dynamic one that accounts for interactions between organisms, e.g. competition. A simulated annealing technique was applied in order to speed up simulations. The simulations show that both in the case of flat and steep static fitness landscapes, competition and assortativity do exert a synergistic effect on speciation. We also show that competition acts as a stabilizing force against extinction due to random sampling in a finite population. Finally, evidence is shown that speciation can be seen as a phase transition.

Suggested Citation

  • Bagnoli, Franco & Guardiani, Carlo, 2005. "A model of sympatric speciation through assortative mating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 534-574.
    • Handle: RePEc:eee:phsmap:v:347:y:2005:i:c:p:534-574
    DOI: 10.1016/j.physa.2004.08.068
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    References listed on IDEAS

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    1. U. Dieckmann & M. Doebeli, 1999. "On the Origin of Species by Sympatric Speciation," Working Papers ir99013, International Institute for Applied Systems Analysis.
    2. Alexey S. Kondrashov & Fyodor A. Kondrashov, 1999. "Interactions among quantitative traits in the course of sympatric speciation," Nature, Nature, vol. 400(6742), pages 351-354, July.
    3. Ulf Dieckmann & Michael Doebeli, 1999. "On the origin of species by sympatric speciation," Nature, Nature, vol. 400(6742), pages 354-357, July.
    4. M. Doebeli & U. Dieckmann, 2000. "Evolutionary Branching and Sympatric Speciation Caused by Different Types of Ecological Interactions," Working Papers ir00040, International Institute for Applied Systems Analysis.
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