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Noise driven phase transitions in eco-evolutionary systems.

Jim Wu1,2, David J Schwab2,3, Trevor GrandPre1,2,4

  • 1Department of Physics, Princeton University, Princeton, NJ 08544, USA.

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|October 31, 2023
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Summary
This summary is machine-generated.

Complex ecosystems involve continuous ecological and evolutionary feedback. This study models these interactions, revealing how noise and resource dynamics drive distinct phases and co-evolution in species.

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Area of Science:

  • Ecology
  • Evolutionary Biology
  • Theoretical Ecology

Background:

  • Complex ecosystems exhibit continuous ecological and evolutionary feedback loops between species and their environment.
  • Species adapt by modifying phenotypic traits, which influences environmental conditions and resource availability.
  • Understanding the interplay of ecological and evolutionary mechanisms is crucial for complex systems.

Approach:

  • Developed a consumer-resource model incorporating phenotypic mutations to study eco-evolutionary dynamics.
  • Analyzed phase transitions in the absence of noise, identifying the need for finely-tuned interaction kernels.
  • Quantified noise effects on frequency-dependent selection using a time-integrated mutation current.

Key Points:

  • Identified three distinct phases: homogeneous, patterned, and patterned traveling waves.
  • The patterned traveling wave phase illustrates a mechanism for species co-evolution in fluctuating environments.
  • Demonstrated that noise and non-reciprocal resource-consumer interactions are key drivers of phase transitions.

Conclusions:

  • Eco-evolutionary systems are significantly shaped by noise and the nature of species interactions.
  • The developed model provides insights into the emergence of complex patterns and co-evolution.
  • Highlights the critical role of phenotypic plasticity and mutation in ecological dynamics.