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Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Understanding systems level behaviour of many interacting agents is challenging in various ways, here we'll focus on the how the interaction between components can lead to hierarchical structures with different types of dynamics, or…

Populations and Evolution · Quantitative Biology 2018-12-26 Henrik Jeldtoft Jensen

Species' interactions are shaped by their traits. Thus, we expect traits -- in particular, trait (dis)similarity -- to play a central role in determining whether a particular set of species coexists. Traits are, in turn, the outcome of an…

Populations and Evolution · Quantitative Biology 2025-03-19 Carlos A. Servan , Jose A. Capitan , Zachary R. Miller , Stefano Allesina

Higher-order interactions are increasingly recognized as a key component of ecological dynamics. However, we show that higher-order Lotka-Volterra dynamics can, in some scenarios, be accurately reproduced by effective pairwise models fitted…

Populations and Evolution · Quantitative Biology 2026-05-08 Violeta Calleja-Solanas , Santiago Lamata-Otín , Carlos Gómez-Ambrosi , Jesús Gómez-Gardeñes , Sandro Meloni

In this letter we study a reference model in theoretical ecology, the disordered Lotka-Volterra model for ecological communities, in the presence of finite demographic noise. Our theoretical analysis, which takes advantage of a mapping to…

Disordered Systems and Neural Networks · Physics 2021-06-30 Ada Altieri , Felix Roy , Chiara Cammarota , Giulio Biroli

Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

Dynamical Systems · Mathematics 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

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…

Populations and Evolution · Quantitative Biology 2026-05-08 Jennifer Paige , Denis D. Patterson , Alan Hastings

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

Ecological systems are governed by complex interactions which are mainly nonlinear. In order to capture this complexity and nonlinearity, statistical models recently gained popularity. However, although these models are commonly applied in…

Quantitative Methods · Quantitative Biology 2011-07-29 Can Ozan Tan , Uygar Ozesmi , Meryem Beklioglu , Esra Per , Bahtiyar Kurt

The noise-induced pattern formation in a population dynamical model of three interacting species in the coexistence regime is investigated. A coupled map lattice of Lotka-Volterra equations in the presence of multiplicative noise is used to…

Statistical Mechanics · Physics 2007-05-23 A. Fiasconaro , D. Valenti , B. Spagnolo

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

Mutualistic networks provide a powerful way to describe and analyse plant-pollinator communities and their structure over time. While these networks capture the complex interdependencies that link population fates across the season, they…

Physics and Society · Physics 2026-04-09 Tom Clegg , Thilo Gross

Mays celebrated theoretical work of the 70s contradicted the established paradigm by demonstrating that complexity leads to instability in biological systems. Here Mays random-matrix modelling approach is generalized to realistic…

Adaptation and Self-Organizing Systems · Physics 2016-07-11 Lewi Stone

Understanding how species persist under interacting stressors is a central challenge in ecology. We develop a spatially explicit reaction-diffusion framework to investigate competing species in landscapes shaped by climate variability,…

Populations and Evolution · Quantitative Biology 2026-02-02 Ton Viet Ta

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

Populations and Evolution · Quantitative Biology 2016-06-15 Jacopo Grilli , Matteo Adorisio , Samir Suweis , György Barabás , Jayanth R. Banavar , Stefano Allesina , Amos Maritan

From 08-12 August, 2022, 32 individuals participated in a workshop, Stability and Fluctuations in Complex Ecological Systems, at the Lorentz Center, located in Leiden, The Netherlands. An interdisciplinary dialogue between ecologists,…

It is well-known that population structure is a catalyst for the evolution of cooperation since individuals can reciprocate with their neighbors through local interactions defined by network structures. Previous research typically relies on…

Physics and Society · Physics 2021-12-16 Anzhi Sheng , Aming Li , Long Wang

A classic measure of ecological stability describes the tendency of a community to return to equilibrium after small perturbation. While many advances show how the network structure of these communities severely constrains such tendencies,…

Populations and Evolution · Quantitative Biology 2015-06-09 Gang Yan , Neo D. Martinez , Yang-Yu Liu

Varying environmental conditions affect relations between interacting individuals in social dilemmas, thus affecting also the evolution of cooperation. Oftentimes these environmental variations are seasonal and can therefore be…

Physics and Society · Physics 2019-09-02 Attila Szolnoki , Matjaz Perc

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu
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