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Area of Science:

  • Community ecology
  • Evolutionary dynamics
  • Theoretical ecology

Background:

  • Species coexistence predictions often rely on invasion criteria at ecological equilibrium.
  • Trait evolution can feedback on population dynamics, necessitating refined coexistence models.
  • Previous models often assumed equal intraspecific trait variances between species.

Purpose of the Study:

  • To analyze a model of two competing species with evolving traits under stabilizing selection.
  • To derive conditions for species persistence and introduce the concept of 'near persistence'.
  • To investigate the impact of asymmetric trait variances on coexistence dynamics.

Main Methods:

  • Utilized persistence theory to analyze a mathematical model of competing species.
  • Incorporated evolving quantitative traits under stabilizing selection.
  • Examined the role of fixed but potentially unequal intraspecific trait variances.

Main Results:

  • Equal trait variances yield specific outcomes, obscuring broader coexistence scenarios under asymmetric variation.
  • Identified fifteen distinct qualitative dynamical regimes based on initial conditions and trait variances.
  • Demonstrated that invasion analysis often requires evaluation at multiple eco-evolutionary equilibria.

Conclusions:

  • Asymmetric trait variances significantly expand the understanding of species coexistence mechanisms.
  • Refined invasion criteria accounting for trait evolution are crucial for ecological predictions.
  • The study highlights the complexity of eco-evolutionary dynamics in structuring ecological communities.