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A broad class of systems, including ecological, epidemiological, and sociological ones, are characterized by populations of individuals assigned to specific categories, e.g., a chemical species, an opinion or an epidemic state, that are…

Statistical Mechanics · Physics 2025-07-17 Giorgio Vittorio Visco , Johannes Nauta , Tomas Scagliarini , Oriol Artime , Manlio De Domenico

We demonstrate with a thought experiment that fitness-based population dynamical approaches to evolution are not able to make quantitative, falsifiable predictions about the long-term behavior of evolutionary systems. A key characteristic…

Populations and Evolution · Quantitative Biology 2015-05-14 Peter Klimek , Stefan Thurner , Rudolf Hanel

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

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

Through extensive studies of dynamical system modeling cellular growth and reproduction, we find evidence that complexity arises in multicellular organisms naturally through evolution. Without any elaborate control mechanism, these systems…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Chikara Furusawa , Kunihiko Kaneko

Understanding how the structure of community interactions is modified by coevolution is vital for understanding system responses to change at all scales. However, in absence of a group selection process, collective community behaviours…

Populations and Evolution · Quantitative Biology 2015-06-23 Daniel A. Power , Richard A. Watson , Eörs Szathmáry , Rob Mills , Simon T Powers , C Patrick Doncaster , Błażej Czapp

A common trait of complex systems is that they can be represented by means of a network of interacting parts. It is, in fact, the network organisation (more than the parts) what largely conditions most higher-level properties, which are not…

Populations and Evolution · Quantitative Biology 2019-07-15 Ricard Sole , Sergi Valverde

We propose a minimal model of the dynamics of diversity -- replicator equations with extinction, invasion and mutation. We numerically study the behavior of this simple model and show that it displays completely different behavior from the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kei Tokita , Ayumu Yasutomi

Why are living systems complex? Why does the biosphere contain living beings with complexity features beyond those of the simplest replicators? What kind of evolutionary pressures result in more complex life forms? These are key questions…

Populations and Evolution · Quantitative Biology 2023-11-13 Seoane LF , Solé R

Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

Populations and Evolution · Quantitative Biology 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

Evolutionary complexity is here measured by the number of trials/evaluations needed for evolving a logical gate in a non-linear medium. Behavioural complexity of the gates evolved is characterised in terms of cellular automata behaviour. We…

Neural and Evolutionary Computing · Computer Science 2010-11-23 Andy Adamatzky , Larry Bull

Models can be simple for different reasons: because they yield a simple and computationally efficient interpretation of a generic dataset (e.g. in terms of pairwise dependences) - as in statistical learning - or because they capture the…

Disordered Systems and Neural Networks · Physics 2018-10-17 Alberto Beretta , Claudia Battistin , Clélia de Mulatier , Iacopo Mastromatteo , Matteo Marsili

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

Biological systems reach organizational complexity that far exceeds the complexity of any known inanimate objects. Biological entities undoubtedly obey the laws of quantum physics and statistical mechanics. However, is modern physics…

Other Quantitative Biology · Quantitative Biology 2018-02-26 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that…

Populations and Evolution · Quantitative Biology 2016-03-02 E. Brigatti , M. Oliva , M. Núñez-López , R. Oliveros-Ramos , J. Benavides

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

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

We present numerical results based on a simplified ecological system in evolution, showing features of extinction similar to that claimed for the biosystem on Earth. In the model each species consists of a population in interaction with the…

adap-org · Physics 2009-10-28 Guillermo Abramson

Biologists and physicists have a rich tradition of modeling living systems with simple models composed of a few interacting components. Despite the remarkable success of this approach, it remains unclear how to use such finely tuned models…

Biological Physics · Physics 2025-09-05 Ilya Nemenman , Pankaj Mehta

We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is classically well modeled by Lotka-Volterra equations, also when…

Populations and Evolution · Quantitative Biology 2025-03-20 Christian Hamster , Jorik Schaap , Peter van Heijster , Joshua Dijksman