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Foundations of Ecological and Evolutionary Change.

A Bradley Duthie1, Victor J Luque2

  • 1Department of Biological and Environmental Sciences University of Stirling Stirling UK.

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This study unifies population ecology and evolution by linking fundamental equations. It reveals how individual traits influence population growth and ecosystem function, bridging a gap in eco-evolutionary theory.

Keywords:
ecologyeco‐evolutionary theoryevolutionfundamental theorempopulation growthprice equation

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Area of Science:

  • Ecology and Evolutionary Biology
  • Mathematical Biology

Background:

  • The interdependence of ecological and evolutionary processes is recognized, with eco-evolutionary dynamics modeling their interactions.
  • Fundamental equations exist for population size (ecology) and average traits (evolution), but their formal link is unclear.

Purpose of the Study:

  • To formally link the fundamental equations of population ecology and evolutionary biology.
  • To identify the bridge between ecological and evolutionary processes.
  • To connect population growth rate, evolutionary fitness, and ecosystem function.

Main Methods:

  • Linking population ecology and evolution equations with a fitness-interaction equation.
  • Deriving the Price equation from the unified framework.
  • Analyzing the relationship between mean population growth rate and evolutionary fitness.

Main Results:

  • An overlooked bridge between population ecology and biological evolution was identified.
  • The equivalence between mean population growth rate and evolutionary fitness was formally recovered.
  • The framework links eco-evolutionary change to ecosystem function.

Conclusions:

  • The developed framework provides a unified approach to eco-evolutionary theory.
  • This unification highlights how individual characteristics impact population dynamics and ecosystem processes.
  • The study offers a foundation for further research in integrated eco-evolutionary dynamics.