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When can complex ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where species abundances keep fluctuating without going to extinction? We show that high-diversity spatially-extended systems, in…

Populations and Evolution · Quantitative Biology 2019-08-27 Felix Roy , Matthieu Barbier , Giulio Biroli , Guy Bunin

A general formalism is developed to construct a Markov chain model that converges to a one-dimensional map in the infinite population limit. Stochastic fluctuations are therefore internal to the system and not externally specified. For…

Statistical Mechanics · Physics 2014-09-15 Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

An important task in microbiome studies is to test the existence of and give characterization to differences in the microbiome composition across groups of samples. Important challenges of this problem include the large within-group…

Methodology · Statistics 2019-05-07 Jialiang Mao , Yuhan Chen , Li Ma

A social system is susceptible to perturbation when its collective properties depend sensitively on a few pivotal components. Using the information geometry of minimal models from statistical physics, we develop an approach to identify…

Physics and Society · Physics 2020-07-06 Edward D. Lee , Daniel M. Katz , Michael J. Bommarito , Paul Ginsparg

Understanding the forces shaping ecological communities is crucially important to basic science and conservation. In recent years, considerable progress was made in explaining communities using simple and general models, with neutral theory…

Populations and Evolution · Quantitative Biology 2014-06-12 Michael Kalyuzhny , Ronen Kadmon , Nadav M. Shnerb

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

Biological Physics · Physics 2007-05-23 Karo Michaelian

A major challenge for community ecology is using spatio-temporal data to infer parameters of dynamical models without conducting laborious experiments. We present a novel framework from statistical physics -- Maximum Caliber -- to…

Populations and Evolution · Quantitative Biology 2025-11-07 Zachary Jackson , Mathew A. Leibold , Robert D. Holt , BingKan Xue

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

Data Analysis, Statistics and Probability · Physics 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

Ecological systems often exhibit complex nonlinear dynamics like oscillations, chaos, and regime shifts. Universal dynamic equations have shown promise in modeling complex dynamics by combining known functional forms with neural networks…

Populations and Evolution · Quantitative Biology 2024-10-15 Jack H. Buckner , Zechariah D. Meunier , Jorge Arroyo-Esquivel , Nathan Fitzpatrick , Ariel Greiner , Lisa C. McManus , James R. Watson

It is argued that a Gibbsian formula for the space-time distribution of microscopic trajectories of a nonequilibrium system provides a unifying framework for recent results on the fluctuations of the entropy production. The variable entropy…

Statistical Mechanics · Physics 2007-05-23 C. Maes

Environmental stochasticity is known to be a destabilizing factor, increasing abundance fluctuations and extinction rates of populations. However, the stability of a community may benefit from the differential response of species to…

Populations and Evolution · Quantitative Biology 2016-02-10 Matan Danino , Nadav M. Shnerb , Sandro Azaele , William E. Kunin , David A. Kessler

A natural phenomenon occurring in a living system is an outcome of the dynamics of the specific biological network underlying the phenomenon. The collective dynamics have both deterministic and stochastic components. The stochastic nature…

Statistical Mechanics · Physics 2023-09-01 Indrani Bose

Evolutionary transitions among ecological interactions are widely known, although their detailed dynamics remain absent for most population models. Adaptive dynamics has been used to illustrate how the parameters of population models might…

Populations and Evolution · Quantitative Biology 2022-11-14 Luciano Stucchi , Javier Galeano , Juan Manuel Pastor , José María Iriondo , José A. Cuesta

A binary fluid mixture in contact with lateral particle reservoirs is considered. By imposing different particle concentrations in these reservoirs, the system can be maintained under controlled non-equilibrium conditions. Previous…

Statistical Mechanics · Physics 2026-04-01 O. Politano , Alejandro L. Garcia , F. Baras , M. Malek Mansour

We develop a method for reconstructing regulatory interconnection networks between variables evolving according to a linear dynamical system. The work is motivated by the problem of gene regulatory network inference, that is, finding causal…

Methodology · Statistics 2018-02-19 Atte Aalto , Jorge Goncalves

Accurate biodiversity monitoring is essential for effective environmental policy, yet current practices often rely on arbitrarily defined ecosystems, communities, and ad-hoc indicator species, limiting cost-efficiency and reproducibility.…

Applications · Statistics 2025-12-02 Braden Scherting , Otso Ovaskainen , Tomas Roslin , David B. Dunson

Predicting species persistence within ecological communities is a fundamental challenge for both empirical and theoretical ecology. Existing methods span from mechanistic models, whose parameters are difficult to estimate from data, to…

Populations and Evolution · Quantitative Biology 2026-04-30 Davide Bernardi , Giorgio Nicoletti , Prajwal Padmanabha , Samir Suweis , Sandro Azaele , Simon A. Levin , Andrea Rinaldo , Amos Maritan

We consider stochastic thermodynamics as a theory of statistical inference for experimentally observed fluctuating time-series. To that end, we introduce a general framework for quantifying the knowledge about the dynamical state of the…

Statistical Mechanics · Physics 2015-05-19 Bernhard Altaner , Jürgen Vollmer

Individual species may experience diverse outcomes, from prosperity to extinction, in an ecological community subject to external and internal variations. Despite the wealth of theoretical results derived from random matrix ensembles, a…

Populations and Evolution · Quantitative Biology 2024-06-12 Andrus Giraldo , Deok-Sun Lee

We identify the phase of a cycle as a new critical factor for tipping points (critical transitions) in cyclic systems subject to time-varying external conditions. As an example, we consider how contemporary climate variability induces…

Dynamical Systems · Mathematics 2021-10-11 Hassan Alkhayuon , Rebecca C. Tyson , Sebastian Wieczorek