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Life on the move: modeling the effects of climate-driven range shifts with integrodifference equations. (English) Zbl 1347.92110

Lewis, Mark A. (ed.) et al., Dispersal, individual movement and spatial ecology. A mathematical perspective. Berlin: Springer (ISBN 978-3-642-35496-0/hbk; 978-3-642-35497-7/ebook). Lecture Notes in Mathematics 2071. Mathematical Biosciences Subseries, 263-292 (2013).
Summary: Climate change is causing many species to shift their ranges. We analyze an integrodifference equation that combines growth, dispersal, and a shifting habitat in order to assess the impact of climate change on persistence. We apply this model to butterflies and show that over-dispersal and under-dispersal can both lead to extinction. We focus on the critical range-shift speed (for extinction), survey numerical methods for determining this speed, and introduce new analytic approximations for the critical shift speed. Finally, we apply our numerical methods and analytic approximations to a variety of redistribution kernels and show that critical-speed curves shed light on the complicated effects of dispersal on persistence in a changing climatic environment.
For the entire collection see [Zbl 1264.92051].

MSC:

92D40 Ecology
92D25 Population dynamics (general)
39A99 Difference equations

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