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Population dynamics in heterogeneous conditions

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  • Droz, Michel
  • Pe¸kalski, Andrzej

Abstract

Using a Monte Carlo approach we study a simple lattice model of populations living in a habitat where the external conditions are changing in space and in time. We show that above a certain value of the climatic gradient, the population gathers at a restricted part of the lattice. The average trait of the individuals follows the optimum. We also have shown that there exists a range of gradient values within which a population has over 10% chance of survival, while outside it most likely to become extinct. We have found that this phenomenon depends on the selection pressure and we have constructed a phase diagram in the selection-gradient plane. In the case of the time-dependent optimum, the populations go extinct after a long time, depending on the speed of the changes.

Suggested Citation

  • Droz, Michel & Pe¸kalski, Andrzej, 2006. "Population dynamics in heterogeneous conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 504-512.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:2:p:504-512
    DOI: 10.1016/j.physa.2005.10.013
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