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In this work we present a dynamical model that succesfully describes the organization of mutualistic ecological systems. The main characteristic of these systems is the nested structure of the bipartite adjacency matrix describing their…

Physics and Society · Physics 2009-11-13 Enrique Burgos , Horacio Ceva , Laura Hernandez , R. P. J. Perazzo

Ecological networks allow us to study the structure and function of ecosystems and gain insights on species resilience/stability. The study of this ecological networks is usually a snapshop focused in a limited specific range of space and…

Populations and Evolution · Quantitative Biology 2014-07-17 Andrzej Jarynowski , Fco. Alejandro Lopez-Nunez , Han Fan

The observed architecture of ecological and socio-economic networks differs significantly from that of random networks. From a network science standpoint, non-random structural patterns observed in real networks call for an explanation of…

Physics and Society · Physics 2019-05-30 Manuel Sebastian Mariani , Zhuo-Ming Ren , Jordi Bascompte , Claudio Juan Tessone

For years, a main focus of ecological research has been to better understand the complex dynamical interactions between species which comprise food webs. Using the connectance properties of a widely explored synthetic food web called the…

Populations and Evolution · Quantitative Biology 2024-10-16 Sepideh Vafaie , Deepak Bal , Michael A. S. Thorne , Eric Forgoston

The statistical properties of an ecosystem composed of species interacting via pairwise, random interactions and deterministic, concentration limiting self-interaction are studied analytically with tools of equilibrium statistical mechanics…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

In the last years, a remarkable theoretical effort has been made in order to understand stability and complexity in ecological communities. The non-random structures of real ecological interaction networks has been recognized as one key…

Populations and Evolution · Quantitative Biology 2013-01-09 Samir Suweis , Jacopo Grilli , Amos Maritan

Does an ecological community allow stable coexistence? Identifying the general principles that determine the answer to this question is a central problem of theoretical ecology. Random matrix theory approaches have uncovered the general…

Populations and Evolution · Quantitative Biology 2025-12-12 Yu Meng , Szabolcs Horvát , Carl D. Modes , Pierre A. Haas

Components in many real-world complex systems depend on each other for the resources required for survival, and may die of a shortage. These patterns of dependencies often take the form of a complex network whose structure potentially…

Physics and Society · Physics 2022-02-04 Madhusudan Ingale , Snehal M. Shekatkar

The stability of ecosystems as well as the relation between topology and dynamics on multilayer networks are important questions that are usually discussed in separate communities. Here, we combine these two topics by investigating the…

Populations and Evolution · Quantitative Biology 2015-07-24 Jonas Richhardt , Sebastian Plitzko , Florian Schwarzmüller , Barbara Drossel

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

Networking and Internet Architecture · Computer Science 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

We consider a multi-species community modelled as a complex network of populations, where the links are given by a random asymmetric matrix J, with fraction 1-C of zero entries, where C reflects the over-all connectivity of the system. The…

Biological Physics · Physics 2015-12-31 Anshul Choudhary , Sudeshna Sinha

There are many scales at which to quantify stability in spatial and ecological networks. Local-scale analyses focus on specific nodes of the spatial network, while regional-scale analyses consider the whole network. Similarly, species- and…

Populations and Evolution · Quantitative Biology 2022-10-19 Javier Jarillo , Francisco J. Cao-García , Frederik De Laender

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

The assembly and persistence of ecological communities can be understood as the result of the interaction and migration of species. Here we study a single community subject to migration from a species pool in which inter-specific…

Populations and Evolution · Quantitative Biology 2023-07-27 Matthew Dopson , Clive Emary

Bipartite networks are widely used to encode the ecological interactions. Being able to compare the organization of bipartite networks is a first step toward a better understanding of how environmental factors shape community structure and…

Machine Learning · Statistics 2025-12-02 Louis Lacoste , Pierre Barbillon , Sophie Donnet

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

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

Ecological networks exhibit non-random structural patterns, such as modularity and nestedness, which indicate ecosystem stability, species diversity, and connectance. Such structure-stability relationships are well known. However, another…

Populations and Evolution · Quantitative Biology 2014-06-12 Kazuhiro Takemoto , Saori Kanamaru , Wenfeng Feng

Complex systems are large collections of entities that organize themselves into non-trivial structures that can be represented by networks. A key emergent property of such systems is robustness against random failures or targeted attacks…

Physics and Society · Physics 2021-06-14 Arsham Ghavasieh , Massimo Stella , Jacob Biamonte , Manlio De Domenico

We study the multi-species replicator model with linear fitness and random fitness matrices of various classes. By means of numerical resolution of the replicator equations, we determine the survival probability of a species in terms of its…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Sebastian Bouzat , Damian Zanette