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Interconnection between density-regulation and stability in competitive ecological network.

Amit Samadder1, Arnab Chattopadhyay1, Anurag Sau2

  • 1Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B.T Road, Kolkata 700108, India.

Theoretical Population Biology
|March 23, 2024
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Summary
This summary is machine-generated.

More species with strong density dependence, self-regulating at low population sizes, enhance ecological community stability. Increased network connectance and a higher proportion of r-selected species also bolster stability, irrespective of network structure.

Keywords:
Competitive networkNonlinear self-regulationRandom matrixStability

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Area of Science:

  • Ecology
  • Theoretical Ecology
  • Mathematical Biology

Background:

  • Species growth profiles exhibit nonlinear density-dependent self-regulation, with variations in how populations respond to density at low versus high sizes.
  • The theta-logistic growth equation models intraspecific density regulation, with the parameter theta defining the growth profile.
  • Understanding these diverse growth dynamics is crucial for predicting ecological community stability.

Purpose of the Study:

  • To investigate the impact of different density-dependent growth profiles on the stability of competitive ecological communities.
  • To analyze the role of species interactions, network structure, and life history strategies in community stability using mathematical modeling.
  • To apply random matrix theory to assess the stability of theta-logistic models in competitive interactions.

Main Methods:

  • Development and analysis of a mathematical model for competitive species interactions incorporating theta-logistic growth.
  • Application of random matrix theory to study the stability of these classical models.
  • Examination of how network connectance, species richness, and the proportion of r-selected species influence community stability.

Main Results:

  • Communities with a greater number of species exhibiting strong density dependence (self-regulation at low densities) are more stable.
  • Increased species network connectance (link density) consistently enhances community stability.
  • Community size (species richness) has a context-dependent effect on stability, while the fraction of r-selected species positively correlates with increased stability.

Conclusions:

  • Species with strong self-regulation at low densities are key drivers of stable competitive communities.
  • Network complexity, particularly connectance, plays a significant role in ecological stability.
  • The prevalence of r-selected species contributes to the stability of competitive networks, regardless of specific network architectures.