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Rate-induced collapse in evolutionary systems.

Constantin W Arnscheidt1, Daniel H Rothman1

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Rapid environmental change can cause extinction if evolution cannot adapt quickly enough. Rate-induced tipping shows extinction and evolutionary rescue are linked outcomes of adaptation speed.

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collapseevolutionary rescueextinctionnonlinear dynamicsrate-induced tipping points

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Area of Science:

  • Ecology
  • Evolutionary Biology
  • Complex Systems

Background:

  • Rate-induced tipping describes abrupt system transitions due to rapid perturbations.
  • This phenomenon is potentially applicable to evolutionary systems facing environmental change.

Purpose of the Study:

  • To investigate rate-induced tipping in evolutionary systems.
  • To connect rate-induced extinction with evolutionary rescue concepts.
  • To develop and validate a minimal evolutionary-ecological model.

Main Methods:

  • Developed a minimal evolutionary-ecological model.
  • Compared minimal model with a complex agent-based model.
  • Analyzed system dynamics under varying rates of environmental change.

Main Results:

  • Rate-induced extinction and evolutionary rescue are inverse phenomena.
  • Identified a critical threshold rate for inducing extinction.
  • Observed a consistent scaling law for this threshold rate.

Conclusions:

  • Evolutionary systems are broadly susceptible to rate-induced collapse.
  • Rapid environmental change poses a significant extinction risk.
  • Findings apply to diverse systems, including ecosystems and societies.