Complex interactions can create persistent fluctuations in high-diversity ecosystems.

When can ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where many species populations fluctuate without going to extinction? We show that high-diversity spatially heterogeneous systems can exhibit chaotic dynamics which persist for extremely long times. W...

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Main Authors: Felix Roy, Matthieu Barbier, Giulio Biroli, Guy Bunin
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2020-05-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1007827
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author Felix Roy
Matthieu Barbier
Giulio Biroli
Guy Bunin
author_facet Felix Roy
Matthieu Barbier
Giulio Biroli
Guy Bunin
author_sort Felix Roy
collection DOAJ
description When can ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where many species populations fluctuate without going to extinction? We show that high-diversity spatially heterogeneous systems can exhibit chaotic dynamics which persist for extremely long times. We develop a theoretical framework, based on dynamical mean-field theory, to quantify the conditions under which these fluctuating states exist, and predict their properties. We uncover parallels with the persistence of externally-perturbed ecosystems, such as the role of perturbation strength, synchrony and correlation time. But uniquely to endogenous fluctuations, these properties arise from the species dynamics themselves, creating feedback loops between perturbation and response. A key result is that fluctuation amplitude and species diversity are tightly linked: in particular, fluctuations enable dramatically more species to coexist than at equilibrium in the very same system. Our findings highlight crucial differences between well-mixed and spatially-extended systems, with implications for experiments and their ability to reproduce natural dynamics. They shed light on the maintenance of biodiversity, and the strength and synchrony of fluctuations observed in natural systems.
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spelling doaj.art-d758669cc6284431af540dd4e7d7e1152022-12-21T17:34:23ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582020-05-01165e100782710.1371/journal.pcbi.1007827Complex interactions can create persistent fluctuations in high-diversity ecosystems.Felix RoyMatthieu BarbierGiulio BiroliGuy BuninWhen can ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where many species populations fluctuate without going to extinction? We show that high-diversity spatially heterogeneous systems can exhibit chaotic dynamics which persist for extremely long times. We develop a theoretical framework, based on dynamical mean-field theory, to quantify the conditions under which these fluctuating states exist, and predict their properties. We uncover parallels with the persistence of externally-perturbed ecosystems, such as the role of perturbation strength, synchrony and correlation time. But uniquely to endogenous fluctuations, these properties arise from the species dynamics themselves, creating feedback loops between perturbation and response. A key result is that fluctuation amplitude and species diversity are tightly linked: in particular, fluctuations enable dramatically more species to coexist than at equilibrium in the very same system. Our findings highlight crucial differences between well-mixed and spatially-extended systems, with implications for experiments and their ability to reproduce natural dynamics. They shed light on the maintenance of biodiversity, and the strength and synchrony of fluctuations observed in natural systems.https://doi.org/10.1371/journal.pcbi.1007827
spellingShingle Felix Roy
Matthieu Barbier
Giulio Biroli
Guy Bunin
Complex interactions can create persistent fluctuations in high-diversity ecosystems.
PLoS Computational Biology
title Complex interactions can create persistent fluctuations in high-diversity ecosystems.
title_full Complex interactions can create persistent fluctuations in high-diversity ecosystems.
title_fullStr Complex interactions can create persistent fluctuations in high-diversity ecosystems.
title_full_unstemmed Complex interactions can create persistent fluctuations in high-diversity ecosystems.
title_short Complex interactions can create persistent fluctuations in high-diversity ecosystems.
title_sort complex interactions can create persistent fluctuations in high diversity ecosystems
url https://doi.org/10.1371/journal.pcbi.1007827
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