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Bedau has developed a general set of evolutionary statistics that quantify the adaptive component of evolutionary processes. On the basis of these measures, he has proposed a set of 4 classes of evolutionary system. All artificial life…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 Russell K. Standish

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

There has been considerable recent interest in the properties of networks, such as citation networks and the worldwide web, that grow by the addition of vertices, and a number of simple solvable models of network growth have been studied.…

Statistical Mechanics · Physics 2011-11-09 Cristopher Moore , Gourab Ghoshal , M. E. J. Newman

This paper investigates the evolution of the dust-to-metal ratio in galaxies based on a simple evolution model for the amount of metal and dust with infall. We take into account grain formation in stellar mass-loss gas, grain growth by the…

Astrophysics · Physics 2015-06-24 Akio K. Inoue

We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

Computer Science and Game Theory · Computer Science 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

Genomic data are rapidly resolving the tree of living species calibrated to time, the timetree of life, which will provide a framework for research in diverse fields of science. Previous analyses of taxonomically restricted timetrees have…

Populations and Evolution · Quantitative Biology 2014-12-16 S. Blair Hedges , Julie Marin , Michael Suleski , Madeline Paymer , Sudhir Kumar

We introduce a model of evolving preferential attachment trees where vertices are assigned weights, and the evolution of a vertex depends not only on its own weight, but also on the weights of its neighbours. We study the distribution of…

Probability · Mathematics 2021-01-11 Nikolaos Fountoulakis , Tejas Iyer

We discuss a model for evolutionary game dynamics in a growing, network-structured population. In our model, new players can either make connections to random preexisting players or preferentially attach to those that have been successful…

Physics and Society · Physics 2015-05-13 J. Poncela , J. Gomez-Gardenes , A. Traulsen , Y. Moreno

In this paper, we consider a stochastic ratio-dependent predator-prey model. We firstly prove the existence, uniqueness and positivity of the solutions. Then, the boundedness of moments of population are studied. Finally, we show the…

Probability · Mathematics 2015-09-01 Nguyen Thi Hoai Linh , Ta Viet Ton

Macroevolution is considered as a problem of stochastic dynamics in a system with many competing agents. Evolutionary events (speciations and extinctions) are triggered by fitness records found by random exploration of the agents' fitness…

adap-org · Physics 2017-01-11 Paolo Sibani , Michael Brandt , Preben Alstroem

A general model for opinion formation and competition, like in ideological struggles is formulated. The underlying set is a closed one, like a country but in which the population size is variable in time. Several ideologies compete to…

Physics and Society · Physics 2015-05-13 Nikolay K. Vitanov , Zlatinka I. Dimitrova , Marcel Ausloos

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

We study the time dependence of the grain size distribution N(r,t) during crystallization of a d-dimensional solid. A partial differential equation including a source term for nuclei and a growth law for grains is solved analytically for…

Materials Science · Physics 2010-03-02 Anthony V. Teran , Ralf B. Bergmann , Andreas Bill

Addiction to internet-based social media has increasingly emerged as a critical social problem, especially among young adults and teenagers. Based on multiple research studies, excessive usage of social media may have detrimental…

Physics and Society · Physics 2024-12-02 Dibyajyoti Mallick , Priya Chakraborty , Sayantari Ghosh

Although the concepts of age, survival and transit time have been widely used in many fields, including population dynamics, chemical engineering, and hydrology, a comprehensive mathematical framework is still missing. Here we discuss…

Populations and Evolution · Quantitative Biology 2016-02-17 Salvatore Calabrese , Amilcare Porporato

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

We present a computational simulation of evolving entities that includes symbiosis with shifting levels of selection. Evolution by natural selection shifts from the level of the original entities to the level of the new symbiotic entity. In…

Neural and Evolutionary Computing · Computer Science 2020-09-24 Peter D. Turney

Astrocladistics, a methodology borrowed from biology, is an objective way of understanding galaxy diversity through evolutionary relationships. It is based on the evolution of all the available parameters describing galaxies and thus…

Astrophysics · Physics 2007-12-20 Didier Fraix-Burnet

We consider the evolution of a population of fixed size with no selection. The number of generations $G$ to reach the first common ancestor evolves in time. This evolution can be described by a simple Markov process which allows one to…

Statistical Mechanics · Physics 2009-09-29 Damien Simon , Bernard Derrida

A systematic study of the strongly interacting matter under extreme conditions via the form of the thermal ratio of the disorder deviation is presented. The evolution of fermi- and bose- particles (quarks and gluons) is studied in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Kozlov