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Generalized Lotka-Volterra model with hierarchical interactions
Lyle Poley1, Joseph W Baron2, Tobias Galla1,2
1Department of Physics and Astronomy, School of Natural Science, The University of Manchester, Manchester M13 9PL, United Kingdom.
Physical Review. E
|March 18, 2023
Summary
Introducing hierarchical interactions into ecological models reveals that while a strong hierarchy stabilizes ecosystems, it reduces species diversity and abundance. Increased interaction variance destabilizes communities.
Area of Science:
- Ecology
- Theoretical Ecology
- Mathematical Biology
Background:
- Complex ecosystems often use random interaction coefficients, assuming species equivalence.
- This study challenges the assumption of statistical equivalence in ecological interactions.
Purpose of the Study:
- To investigate the impact of hierarchical interspecies interactions on ecosystem stability and structure.
- To analyze how hierarchy affects species diversity, abundance, and survival probability.
Main Methods:
- Incorporation of hierarchical interactions into a generalized Lotka-Volterra dynamical system.
- Application of dynamic mean-field theory to analyze community dynamics.
Main Results:
- A strong hierarchical structure was found to be stabilizing for ecosystems.
- However, hierarchy reduced the number of surviving species and their overall abundances.
- Increased heterogeneity in interaction coefficient variances across hierarchical levels proved destabilizing.
Conclusions:
- Species' position within a hierarchy significantly influences their abundance and survival.
- Hierarchical interactions offer a more realistic framework for understanding complex ecological communities.
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