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The processes of ecological interactions, dispersal and mutations shape the dynamics of biological communities, and analogous eco-evolutionary processes acting upon economic entities have been proposed to explain economic change. This…

Econometrics · Economics 2023-01-24 Victor Boussange , Didier Sornette , Heike Lischke , Loïc Pellissier

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

Populations and Evolution · Quantitative Biology 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a…

Populations and Evolution · Quantitative Biology 2025-07-02 Alexander P Browning , Sara Hamis

A class of models for large-scale evolution and mass extinctions is presented. These models incorporate environmental changes on all scales, from influences on a single species to global effects. This is a step towards a unified picture of…

adap-org · Physics 2007-05-23 C. Wilke , S. Altmeyer , T. Martinetz

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

Environmental science almost invariably proposes problems of extreme complexity, typically characterized by strongly nonlinear evolution dynamics. The systems under investigation have many degrees of freedom - which makes them complicated -…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Speranza , V. Lucarini

Rapid anthropogenic environmental changes, including those due to habitat contamination, degradation, and climate change, have far-reaching effects on biological systems that may outpace animals' adaptive responses (Radchuk et al., 2019).…

Neurons and Cognition · Quantitative Biology 2022-10-17 Angie Michaiel , Amy Bernard

Microorganisms live in environments that inevitably fluctuate between mild and harsh conditions. As harsh conditions may cause extinctions, the rate at which fluctuations occur can shape microbial communities and their diversity, but we…

Populations and Evolution · Quantitative Biology 2021-10-14 Shota Shibasaki , Mauro Mobilia , Sara Mitri

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

Populations and Evolution · Quantitative Biology 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

Species growing in environments that change in time and space will vary in their abundance across locations, even in the absence of persistent location preferences. Here we quantify this non-equilibrium effect by studying a minimal model of…

Populations and Evolution · Quantitative Biology 2026-03-04 James F. D. Henderson , Andreas Tiffeau-Mayer

A fundamental goal of microbial ecology is to understand what determines the diversity, stability, and structure of microbial ecosystems. The microbial context poses special conceptual challenges because of the strong mutual influences…

Biological Physics · Physics 2019-03-06 Robert Marsland , Wenping Cui , Joshua Goldford , Alvaro Sanchez , Kirill Korolev , Pankaj Mehta

Fluctuating environments are situations where the spatio-temporal stochasticity plays a significant role in the evolutionary dynamics. The study of the evolution of cooperation in these environments typically assumes a homogeneous, well…

Populations and Evolution · Quantitative Biology 2024-11-01 Viktor Stojkoski , Marko Karbevski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

The extinction of species is a core process that affects the diversity of life on Earth. One way of investigating the causes and consequences of extinctions is to build conceptual ecological models, and to use the dynamical outcomes of such…

Populations and Evolution · Quantitative Biology 2017-11-28 Sergey A. Vakulenko , Ivan Sudakov , Luke Mander

Ecosystems are governed by dynamic processes such as competition for resources, reproduction and dispersal. These shape their biodiversity and how the system responds to change. Current approaches to modelling ecosystems, especially plants,…

Quantitative Methods · Quantitative Biology 2023-03-15 Claire L. Harris , Neil Brummitt , Christina A. Cobbold , Richard Reeve

The environment in which a population evolves can have a crucial impact on selection. We study evolutionary dynamics in finite populations of fixed size in a changing environment. The population dynamics are driven by birth and death…

Populations and Evolution · Quantitative Biology 2014-09-01 Peter Ashcroft , Philipp M Altrock , Tobias Galla

Due to the conventional distinction between ecological (rapid) and evolutionary (slow)timescales, ecological and population models to date have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has…

Populations and Evolution · Quantitative Biology 2012-11-20 Laura E. Jones , Stephen P. Ellner

Populations interact non-linearly and are influenced by environmental fluctuations. In order to have realistic mathematical models, one needs to take into account that the environmental fluctuations are inherently stochastic. Often,…

Probability · Mathematics 2025-07-29 Alexandru Hening , Siddharth Sabharwal

Structure, composition and stability of ecological populations are shaped by the inter- and intra-species interactions within these communities. It remains to be fully understood how the interplay of these interactions with other factors,…

Populations and Evolution · Quantitative Biology 2023-01-16 Nava Leibovich , Jeremy Rothschild , Sidhartha Goyal , Anton Zilman