Resilience in a two-population system: interactions between Allee effects and connectivity |
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Authors: | Carter L Johnson Alan Hastings |
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Institution: | 1.Department of Mathematics,University of California,Davis,USA;2.Department of Environmental Science and Policy,University of California,Davis,USA |
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Abstract: | Resilience in ecosystems and resistance to regime shifts has been a major focus in ecological research. How migration and general network dynamics affect the resilience of populations or induce regime shift cascades is a particularly challenging open question in theoretical ecology. We focus on regime shifts in populations with variable-strength Allee effects to demonstrate the effect of migration on resilience in two-population systems with critical transitions. The result is a mathematical model that justifies the assumption that resilience can be averaged across connected populations and suggests several management strategies to either avoid or induce regime shift cascades. |
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