Theoretical Ecology

, Volume 4, Issue 1, pp 13–25

Discrete-time growth-dispersal models with shifting species ranges

Original Paper

DOI: 10.1007/s12080-010-0071-3

Cite this article as:
Zhou, Y. & Kot, M. Theor Ecol (2011) 4: 13. doi:10.1007/s12080-010-0071-3


Many species are responding to global climate change by shifting their ranges poleward in latitude or upward in elevation. We analyze an integrodifference equation that combines growth, dispersal, and a constant-speed, climate-induced range shift and find that a shifting population can die out, even if the width of its range remains constant. We show how to determine the critical range-shift speed (for extinction) and study the effects of the growth rate and of the shape and scale of the dispersal kernel on persistence.


Climate changePopulation persistenceRange shiftIntegrodifference equation

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of WashingtonSeattleUSA