2015
DOI: 10.1007/s11538-015-0119-z
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Persistence in a Two-Dimensional Moving-Habitat Model

Abstract: Environmental changes are forcing many species to track suitable conditions or face extinction. In this study, we use a two-dimensional integrodifference equation to analyze whether a population can track a habitat that is moving due to climate change. We model habitat as a simple rectangle. Our model quickly leads to an eigenvalue problem that determines whether the population persists or declines. After surveying techniques to solve the eigenvalue problem, we highlight three findings that impact conservation… Show more

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Cited by 12 publications
(20 citation statements)
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“…To generate hypotheses, investigators have varied dispersal parameters and determined the effect on population dynamics (Zhou & Kot ; Harsch et al . ; Phillips & Kot ).…”
Section: Laying Foundations: a Basic Mhmmentioning
confidence: 99%
See 4 more Smart Citations
“…To generate hypotheses, investigators have varied dispersal parameters and determined the effect on population dynamics (Zhou & Kot ; Harsch et al . ; Phillips & Kot ).…”
Section: Laying Foundations: a Basic Mhmmentioning
confidence: 99%
“…Exact solutions to model are only obtainable for very simple cases, so numerical simulation is a standard method of exploration. However, many analytical approximations have been developed that reduce computation time and enable cross‐validation of numerical results (Zhou & Kot ; Kot & Phillips ; Phillips & Kot ).…”
Section: Laying Foundations: a Basic Mhmmentioning
confidence: 99%
See 3 more Smart Citations