Stability of Ecological Systems: A Theoretical Review

Area of Science:

• Ecology
• Theoretical Ecology
• Mathematical Ecology

Background:

• Ecological system stability is crucial for understanding biodiversity, species coexistence, and community persistence.
• Theoretical frameworks are essential for analyzing the complex dynamics of ecological stability.
• Existing research highlights the need for a comprehensive review of stability concepts and their implications.

Purpose of the Study:

• To systematically review theoretical frameworks for analyzing the stability of ecological systems.
• To survey various stability notions and their associated conditions.
• To explore the impact of network structures and higher-order interactions on ecological stability.

Main Methods:

• Systematic literature review of theoretical frameworks for ecological stability.
• Survey and categorization of diverse stability notions (linear, sign, diagonal, D-stability, total, sector, structural).
• Analysis of necessary/sufficient conditions for each stability type and their relationship to network structures.

Main Results:

• Identified and defined multiple stability notions in ecological systems.
• Examined the conditions governing each stability type and their dependence on ecological network structures.
• Highlighted the role of higher-order interactions in influencing system stability.

Conclusions:

• A comprehensive understanding of ecological stability requires considering various stability notions and their interplay.
• Network structure and higher-order interactions are critical determinants of ecological system stability.
• This review provides a foundational resource for future research on ecological stability and resilience.