Marginally stable equilibria in critical ecosystems
By Giulio Biroli, Guy Bunin, Chiara Cammarota. New Journal of Physics, 2017
154 citations recorded by the source corpus.
In this work we study the stability of the equilibria reached by ecosystems formed by a large number of species. The model we focus on are Lotka–Volterra equations with symmetric random interactions. Our theoretical analysis, confirmed by our numerical studies, shows that for strong and heterogeneous interactions the system displays multiple equilibria which are all marginally stable. This property allows us to obtain general identities between diversity and single species responses, which generalize and saturate May’s stability bound. By connecting the model to systems studied in condensed matter physics, we show that the multiple equilibria regime is analogous to a critical spin-glass phase. This relation suggests new experimental ways to probe marginal stability.
Subfields: Condensed Matter Physics, Economics and Econometrics, Global and Planetary Change
View Paper: https://www.semanticscholar.org/paper/be616121306e4c0e8ac68e7db448e95c88adb22d
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Citations in the corpus
- Numerical implementation of dynamical mean field theory for disordered systems: application to the Lotka–Volterra model of ecosystems (2019, methodology): “In this work we develop DMFT for models of ecosystems formed by a large number of interacting species [7, 8, 9].”
- Colloquium: Criticality and dynamical scaling in living systems (2017, background): “…have been studied –from a macroevolutionary viewpoint– as dynamical structures lying at the edge of instability (Adami, 1995; Bak and Sneppen, 1993; Biroli et al., 2017; Sneppen et al., 1995; Solé et al., 2002a, 1999; Suweis et al., 2013), illustrating that the ideas discussed here can be…”