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Modeling and inferring metacommunity dynamics with Maximum Caliber.

Zachary Jackson1, Mathew A Leibold2, Robert D Holt2

  • 1Department of Physics, University of Florida, Gainesville, FL 32611-8525.

Proceedings of the National Academy of Sciences of the United States of America
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Summary
This summary is machine-generated.

This study introduces Maximum Caliber, a statistical physics framework, to infer ecological model parameters from spatiotemporal data. It enables accurate prediction of metacommunity dynamics, even far from equilibrium, aiding conservation efforts.

Keywords:
colonization-extinction modelsinverse inferencenonequilibrium dynamics

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Area of Science:

  • Ecology
  • Statistical Physics
  • Computational Biology

Background:

  • Inferring parameters of ecological dynamical models from spatiotemporal data is challenging without extensive experiments.
  • Existing methods often focus on system states rather than system trajectories.

Purpose of the Study:

  • To present a novel framework, Maximum Caliber, for characterizing temporal dynamics and inferring parameters of ecological systems using spatiotemporal data.
  • To demonstrate the framework's ability to model ecological processes across a spectrum from equilibrium to far-from-equilibrium conditions.

Main Methods:

  • Utilized the Maximum Caliber framework, an extension of Maximum Entropy modeling, to analyze system trajectories.
  • Applied logistic regression to estimate model parameters from spatiotemporal species occupancy data in metacommunities.
  • Introduced 'entropy production' as a measure of irreversibility and 'pseudo-R^2' for predictability.

Main Results:

  • The Maximum Caliber framework accurately captures ecological processes including various species interaction motifs and dispersal.
  • Parameters such as migration rates, species interactions, and environmental suitabilities were estimated without bias across different system sizes and time periods.
  • The model demonstrated predictive power for metacommunities, including those far from equilibrium.

Conclusions:

  • The Maximum Caliber framework offers a breakthrough for estimating parameters of dynamical metacommunity models from empirical spatiotemporal data.
  • This approach overcomes limitations of experimental approaches and provides insights into complex ecological dynamics.
  • The findings have significant applications in conservation and restoration ecology for managing and restoring ecological communities.