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Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

Most theories of evolutionary diversification are based on equilibrium assumptions: they are either based on optimality arguments involving static fitness landscapes, or they assume that populations first evolve to an equilibrium state…

Populations and Evolution · Quantitative Biology 2017-02-07 Iaroslav Ispolatov , Vaibhav Madhok , Michael Doebeli

We present a simple physical model that recapitulates several features of biological evolution, while being based only on thermally-driven attachment and detachment of elementary building blocks. Through its dynamics, this model samples a…

Populations and Evolution · Quantitative Biology 2025-07-11 Guy Bunin , Olivier Rivoire

An ecosystem is a nonlinear dynamical system, its orbits giving rise to the observed complexity in the system. The diverse components of the ecosystem interact in discrete time to give rise to emergent features that determine the trajectory…

Dynamical Systems · Mathematics 2015-07-29 Sudeepto Bhattacharya , L. M. Saha

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

We study the stochastic evolution of four species in cyclic competition in a well mixed environment. In systems composed of a finite number $N$ of particles these simple interaction rules result in a rich variety of extinction scenarios,…

Statistical Mechanics · Physics 2012-07-09 C. H. Durney , S. O. Case , M. Pleimling , R. K. P. Zia

We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a $\bbT_d^+$ tree. We think of this model as a way of describing the evolution fitness landscape of a population. We obtain…

Probability · Mathematics 2021-04-13 Carolina Grejo , Fabio Lopes , Fábio Machado , Alejandro Roldán-Correa

Discrete time, spatially extended models play an important role in ecology, modelling population dynamics of species ranging from micro-organisms to birds. An important question is how 'bottom up', individual-based models can be…

Populations and Evolution · Quantitative Biology 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

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

One of the most intriguing questions in evolution is how organisms exhibit suitable phenotypic variation to rapidly adapt in novel selective environments which is crucial for evolvability. Recent work showed that when selective environments…

Populations and Evolution · Quantitative Biology 2015-08-28 Kostas Kouvaris , Jeff Clune , Louis Kounios , Markus Brede , Richard A. Watson

Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level of the system as a whole are phenomena that appear during…

adap-org · Physics 2007-05-23 Vivek S. Borkar , Sanjay Jain , Govindan Rangarajan

This paper investigates the dynamics of biomass in a marine ecosystem. A stochastic process is defined in which organisms undergo jumps in body size as they catch and eat smaller organisms. Using a systematic expansion of the master…

Populations and Evolution · Quantitative Biology 2010-01-11 Samik Datta , Gustav W. Delius , Richard Law

A simple model of species origin resulted from dynamic features of a population, solely, is developed. The model is based on the evolution optimality in space distribution, and the selection is gone over the mobility. Some biological issues…

Populations and Evolution · Quantitative Biology 2008-04-25 Michael G. Sadovsky

Laboratory experiments with bacterial colonies, under well-controlled conditions often lead to evolutionary diversification, where at least two ecotypes emerge from an initially monomorphic population. Empirical evidence suggests that such…

Populations and Evolution · Quantitative Biology 2024-11-06 Roberto Corral López , Samir Suweis , Sandro Azaele , Miguel A. Muñoz

Two powerful and complementary experimental approaches are commonly used to study the cell cycle and cell biology: One class of experiments characterizes the statistics (or demographics) of an unsynchronized exponentially-growing…

Biological Physics · Physics 2022-02-02 Dean Huang , Teresa Lo , Houra Merrikh , Paul A. Wiggins

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

Competition between species and genotypes is a dominant factor in a variety of ecological and evolutionary processes. Biological dynamics are typically highly stochastic, and therefore, analyzing a competitive system requires accounting for…

Populations and Evolution · Quantitative Biology 2025-01-09 Ori Turkia , Nadav M. Shnerb

Ecosystems dynamics is often considered as driven by a coupling of species' resource consumption and its population size dynamics. Such resource-population dynamics is captured by MacArthur-type models. One biologically relevant feature…

Populations and Evolution · Quantitative Biology 2023-07-10 Elena Bellavere , Christian H. S. Hamster , Joshua A. Dijksman

One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however,…

Dynamical Systems · Mathematics 2019-08-19 Chulwook Park