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How combined pairwise and higher-order interactions shape transient dynamics.
Sourin Chatterjee1,2, Sayantan Nag Chowdhury3,4,5
1Department of Mathematics and Statistics, Indian Institute of Science Education and Research, Kolkata, West Bengal 741246, India.
Higher-order interactions (HOIs) accelerate ecosystem stabilization, significantly reducing transient times. This contrasts with pairwise interactions, which slow down recovery, highlighting HOIs
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Area of Science:
- Ecology
- Biodiversity
- Ecological Stability
Background:
- Understanding species interactions is key to biodiversity.
- Transient dynamics, or ecosystem adjustment periods after disturbances, are critical for predicting ecological responses and conservation.
- Existing models often simplify interactions, limiting realistic ecosystem representation.
Purpose of the Study:
- To introduce a novel model integrating pairwise and higher-order interactions (HOIs) for a more realistic ecological perspective.
- To investigate the impact of HOIs on the speed of ecosystem stabilization during transient dynamics.
- To explore the relationship between system eigenvalues and transient times for predicting ecosystem resilience.
Main Methods:
- Developed a model using convex combinations to merge pairwise and higher-order interactions.
- Applied global stability analysis and numerical simulations to assess transient dynamics.
- Analyzed the correlation between the Jacobian matrix's leading eigenvalue and mean transient times.
Main Results:
- Higher-order interactions (HOIs) significantly reduce mean transient times, accelerating ecosystem stabilization.
- Pairwise interactions were found to slow the convergence toward stability.
- A strong negative correlation exists between the leading eigenvalue's real part and mean transient times, indicating faster recovery with more negative eigenvalues.
Conclusions:
- HOIs play a crucial role in enhancing biodiversity stabilization and ecosystem resilience.
- The study provides a framework for understanding and predicting ecosystem recovery rates.
- Findings are vital for advancing ecological theory and informing effective conservation strategies for transient dynamics.