Bulletin of Mathematical Biology

, Volume 66, Issue 5, pp 975–1008

Climate and competition: The effect of moving range boundaries on habitat invasibility

Authors

    • Department of Mathematical and Statistical Sciences, and Centre for Mathematical BiologyUniversity of Alberta
  • M. A. Lewis
    • Department of Mathematical and Statistical Sciences, and Centre for Mathematical BiologyUniversity of Alberta
Article

DOI: 10.1016/j.bulm.2003.10.010

Cite this article as:
Potapov, A.B. & Lewis, M.A. Bull. Math. Biol. (2004) 66: 975. doi:10.1016/j.bulm.2003.10.010

Abstract

Predictions for climate change include movement of temperature isoclines up to 1000 m/year, and this is supported by recent empirical studies. This paper considers effects of a rapidly changing environment on competitive outcomes between species. The model is formulated as a system of nonlinear partial differential equations in a moving domain. Terms in the equations decribe competition interactions and random movement by individuals. Here the critical patch size and travelling wave speed for each species, calculated in the absence of competition and in a stationary habitat, play a role in determining the outcome of the process with competition and in a moving habitat. We demonstrate how habitat movement, coupled with edge effects, can open up a new niche for invaders that would be otherwise excluded.

Copyright information

© Society for Mathematical Biology 2004