Sparse Interactions Reshape Ecosystem Stability

This paper addresses a crucial gap in ecological modeling by moving beyond fully connected interaction models to incorporate the sparse and structured nature of real ecosystems. The authors develop a thermodynamically exact stability phase diagram for generalized Lotka-Volterra dynamics on sparse random graphs. This is significant because it provides a more realistic and scalable framework for analyzing ecosystem stability, biodiversity, and alternative stable states, overcoming the limitations of traditional approaches and direct simulations.