Population dynamics in heterogeneous conditions

Michel Droz and Pe¸kalski, Andrzej

Physica A: Statistical Mechanics and its Applications, 2006, vol. 362, issue 2, 504-512

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.

Keywords: Population dynamics; Monte Carlo simulations; Evolution; Ecological modelling (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:362:y:2006:i:2:p:504-512

DOI: 10.1016/j.physa.2005.10.013

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