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In constant-payoff finite population games, when selection is weak and population size is large, the one-third law serves as the condition for a strategy to be advantageous. We generalize the result to the case where payoff matrices are…

Populations and Evolution · Quantitative Biology 2013-12-16 Weihong Xu , Yanling Zhang , Guangming Xie

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Machine Learning · Statistics 2019-06-21 Atanas Mirchev , Baris Kayalibay , Maximilian Soelch , Patrick van der Smagt , Justin Bayer

We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalize some previous works and takes into account self-limitation. Under…

Dynamical Systems · Mathematics 2019-03-12 Vladimir Kozlov , Vladimir G. Tkachev , Sergey Vakulenko , Uno Wennergren

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

Statistical Mechanics · Physics 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

The dynamics of a two-species community of $N$ competing individuals is considered, with an emphasis on the role of environmental variations that affect coherently the fitness of entire populations. The chance of fixation of a mutant…

Populations and Evolution · Quantitative Biology 2018-02-01 Immanuel Meyer , Nadav M. Shnerb

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

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

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

We study a discrete time spatial branching system on $\mathbb{Z}^d$ with logistic-type local regulation at each deme depending on a weighted average of the population in neighboring demes. We show that the system survives for all time with…

Probability · Mathematics 2009-09-29 Matthias Birkner , Andrej Depperschmidt

Natural selection favors the more successful individuals. This is the elementary premise that pervades common models of evolution. Under extreme conditions, however, the process may no longer be probabilistic. Those that meet certain…

Physics and Society · Physics 2014-03-07 Attila Szolnoki , Alberto Antonioni , Marco Tomassini , Matjaz Perc

This paper presents Wanderer, a model of how autonomous adaptive systems coordinate internal biological needs with moment-by-moment assessments of the probabilities of events in the external world. The extent to which Wanderer moves about…

Neural and Evolutionary Computing · Computer Science 2019-07-11 Liane Gabora

Both evolution and ecology have long been concerned with the impact of variable environmental conditions on observed levels of genetic diversity within and between species. We model the evolution of a quantitative trait under selection that…

Populations and Evolution · Quantitative Biology 2014-11-17 Hannes Svardal , Claus Rueffler , Joachim Hermisson

Environmental variations can significantly influence how populations compete for resources, and hence shape their evolution. Here, we study population dynamics subject to a fluctuating environment modeled by a varying carrying capacity…

Populations and Evolution · Quantitative Biology 2023-04-14 Ami Taitelbaum , Robert West , Mauro Mobilia , Michael Assaf

We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their population size and compel survivors to disperse to neighboring…

Probability · Mathematics 2024-07-23 Valdivino V. Junior , Fábio P. Machado , Alejandro Roldán-Correa

Adaptation to changing environments is a universal feature of life and can involve the organism modifying itself in response to the environment as well as actively modifying the environment to control selection pressures. The latter case…

Populations and Evolution · Quantitative Biology 2023-01-10 Edward D. Lee , Jessica C. Flack , David C. Krakauer

Biological organisms have to cope with stochastic variations in both the external environment and the internal population dynamics. Theoretical studies and laboratory experiments suggest that population diversification could be an effective…

Populations and Evolution · Quantitative Biology 2017-09-13 BingKan Xue , Stanislas Leibler

Adaptation to dynamic conditions requires a certain degree of diversity. If all agents take the best current action, learning that the underlying state has changed and behavior should adapt will be slower. Diversity is harder to maintain…

Social and Information Networks · Computer Science 2023-05-02 Daron Acemoglu , Asuman Ozdaglar , Sarath Pattathil

The impact of environmental fluctuation on species diversity is studied with a model of the evolutionary ecology of microorganisms. We show that environmental fluctuation induces evolutionary branching and assures the consequential…

Populations and Evolution · Quantitative Biology 2015-05-13 Masashi Tachikawa

Previous evolutionary studies demonstrated how evaluating evolving agents in variable environmental conditions enable them to develop solutions that are robust to environmental variation. We demonstrate how the robustness of the agents can…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Nicola Milano , Jônata Tyska Carvalho , Stefano Nolfi

We study an impact of a random environment on lifetimes of coherent systems with dependent components. There are two combined sources of this dependence. One results from the dependence of the components of the coherent system operating in…

Applications · Statistics 2018-09-18 Nil Kamal Hazra , Maxim Finkelstein

The mutual influence of dynamics and structure is a central issue in complex systems. In this paper we study by simulation slow evolution of network under the feedback of a local-majority-rule opinion process. If performance-enhancing local…

Physics and Society · Physics 2009-11-13 Zhen Shao , Haijun Zhou