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Resilience in a two-population system: interactions between Allee effects and connectivity
Authors:Carter L Johnson  Alan Hastings
Institution:1.Department of Mathematics,University of California,Davis,USA;2.Department of Environmental Science and Policy,University of California,Davis,USA
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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