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Rate-induced collapse in evolutionary systems

Spring 2022
Constantin Arnscheidt (MIT)

Abstract: Recent work on dynamical systems has highlighted the possibility of "rate-induced tipping", in which a system undergoes an abrupt transition when a perturbation exceeds a critical rate of change. Here we argue that rate-induced tipping towards extinction is likely a ubiquitous feature of evolutionary systems. We demonstrate the emergence of rate-induced extinction in two general evolutionary-ecological models, and connect these results with the established literature on "evolutionary rescue" as well as recent work on mass extinctions.