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Robert May famously used random matrix theory to predict that large, complex systems cannot admit stable fixed points. However, this general conclusion is not always supported by empirical observation: from cells to biomes, biological…

Statistical Mechanics · Physics 2024-11-08 Onofrio Mazzarisi , Matteo Smerlak

The self-organization of microbial ecosystems involves a large variety of mechanisms, ranging from biochemical signaling to population dynamics. Among these, the role of motility regulation has been little studied, despite the importance of…

Statistical Mechanics · Physics 2025-03-18 Alberto Dinelli , Ada Altieri , Julien Tailleur

Will a large economy be stable? Building on Robert May's original argument for large ecosystems, we conjecture that evolutionary and behavioural forces conspire to drive the economy towards marginal stability. We study networks of firms in…

Physics and Society · Physics 2019-09-25 José Moran , Jean-Philippe Bouchaud

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

Surveys of microbial biodiversity such as the Earth Microbiome Project (EMP) and the Human Microbiome Project (HMP) have revealed robust ecological patterns across different environments. A major goal in ecology is to leverage these…

Populations and Evolution · Quantitative Biology 2020-03-05 Robert Marsland , Wenping Cui , Pankaj Mehta

Forty years ago, Robert May questioned a central belief in ecology by proving that sufficiently large or complex ecological networks have probability of persisting close to zero. To prove this point, he analyzed large networks in which…

Populations and Evolution · Quantitative Biology 2015-05-28 Stefano Allesina , Si Tang

Ecologists are interested in understanding and predicting how ecological communities change through time. While it might seem natural to measure this through changes in species' abundances, computational limitations mean transitions between…

Quantitative Methods · Quantitative Biology 2014-04-01 William D. Pearse , Andy Purvis , David B. Roy , Alexandros Stamatakis

Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

Populations and Evolution · Quantitative Biology 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

Promoting and increasing energy efficiency is a promising method of reducing CO2 emissions and avoiding the potentially devastating effects of climate change. The question is: How do we induce a cultural or behavioural change whereby people…

Physics and Society · Physics 2009-09-29 Federico Gallo , Pierluigi Contucci , Adam Coutts , Ignacio Gallo

Microbiome-based stratification of healthy individuals into compositional categories, referred to as "community types", holds promise for drastically improving personalized medicine. Despite this potential, the existence of community types…

Quantitative Methods · Quantitative Biology 2016-04-27 Travis E. Gibson , Amir Bashan , Hong-Tai Cao , Scott T. Weiss , Yang-Yu Liu

We introduce an individual-based model of a complex ecological community with random interactions. The model contains a large number of species, each with a finite population of individuals, subject to discrete reproduction and death…

Populations and Evolution · Quantitative Biology 2023-07-19 Ferran Larroya , Tobias Galla

The competition for resources is a defining feature of microbial communities. In many contexts, from soils to host-associated communities, highly diverse microbes are organized into metabolic groups or guilds with similar resource…

Physics and Society · Physics 2025-05-05 Xiaowen Chen , Kyle Crocker , Seppe Kuehn , Aleksandra M. Walczak , Thierry Mora

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

Ecosystems are commonly conceptualized as networks of interacting species. However, partitioning natural diversity of organisms into discrete units is notoriously problematic, and mounting experimental evidence raises the intriguing…

Populations and Evolution · Quantitative Biology 2017-09-22 Mikhail Tikhonov

The Random Utility Model (RUM) is the gold standard in describing the behavior of a population of consumers. The RUM operates under the assumption of transitivity in consumers' preference relationships, but the empirical literature has…

Theoretical Economics · Economics 2024-06-21 Wilfried Youmbi

Natural ecosystems, in particular on the microbial scale, are inhabited by a large number of species. The population size of each species is affected by interactions of individuals with each other and by spatial and temporal changes in…

Populations and Evolution · Quantitative Biology 2023-06-23 Tom Burkart , Jan Willeke , Erwin Frey

High-throughput sequencing techniques such as metagenomic and metatranscriptomic technologies allow cataloging of functional characteristics of microbial community members as well as their taxonomic identity. Such studies have found that a…

Populations and Evolution · Quantitative Biology 2019-06-24 Lee Worden

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

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

Multiagent Systems · Computer Science 2025-02-27 David H. Wolpert , Kyle Harper

Microbes are often discussed in terms of dichotomies such as copiotrophic/oligotrophic and fast/slow-growing microbes, defined using the characterisation of microbial growth in isolated cultures. The dichotomies are usually qualitative…

Populations and Evolution · Quantitative Biology 2023-04-18 Luciana L. Couso , Alfonso Soler-Bistue , Ariel A. Aptekmann , Ignacio E. Sanchez