Discrete-time growth-dispersal models with shifting species ranges
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- Zhou, Y. & Kot, M. Theor Ecol (2011) 4: 13. doi:10.1007/s12080-010-0071-3
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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.