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Adaptive Dynamics (AD) models evolutionary branching, a key speciation mechanism. Weak evolutionary stability signals biodiversity loss and predicts catastrophic evolutionary shifts.

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Area of Science:

  • Evolutionary biology
  • Mathematical modeling
  • Theoretical ecology

Background:

  • Adaptive Dynamics (AD) models community evolution and speciation.
  • Evolutionary branching is a core AD concept, explaining sympatric and parapatric speciation.
  • The transition from evolutionary stability (ESS) to branching is critical for understanding biodiversity dynamics.

Purpose of the Study:

  • To analyze the transition from ESS to evolutionary branching under changing parameters.
  • To identify early-warning signals for catastrophic evolutionary shifts.
  • To resolve theoretical debates on the smoothness of mutant invasion fitness.

Main Methods:

  • Analysis of Adaptive Dynamics (AD) framework.
  • Investigation of transitions driven by environmental, control, or exploitation parameters.
  • Derivation of a local canonical model for the ESS-branching transition.

Main Results:

  • The ESS-branching transition is a catastrophic evolutionary shift.
  • Weak evolutionary stability serves as an early-warning signal for branching.
  • Mutant invasion fitness is generally smooth at incipient branching, contrary to prior assumptions.

Conclusions:

  • Early-warning signals like weak evolutionary stability can predict biodiversity loss.
  • The derived canonical model provides a universal framework for analyzing AD transitions.
  • Understanding these transitions is crucial for predicting community resilience and evolutionary trajectories.