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Towards a unified framework for multiple stable states in ecological systems
Jennifer N Paige1, Denis D Patterson2, Alan Hastings3,4
1Department of Mathematics, University of California , Davis, Davis, CA, USA.
Abstract:
Multiple stable states-the coexistence of two or more distinct ecological configurations under identical environmental conditions-have attracted sustained interest in ecology, yet the field still lacks a unified framework connecting ecological mechanisms to dynamical models. Here, we review empirical and theoretical approaches to multiple stable states, synthesizing perspectives on stability, tipping, hysteresis and transient dynamics, and contextualize these within a common mathematical framework. Drawing on examples of well-known ecosystem models, we highlight the central and necessary role of positive feedback loops and identify other common, unifying features of ecological systems that exhibit multiple stable states. We further discuss the relationship between stable and transient dynamics, the roles of spatial and temporal scales in feedback identification and the implications for ecological restoration and management. We conclude with open questions and challenges for the field, including extending multistability theory to persistent-transient frameworks and harnessing emerging data-collection technologies to sharpen empirical inference.
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