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Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Inhomogeneous models of populations and communities allow for birth and death rates to vary among…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev

We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significant differences with classical results on fixed domains. After…

Analysis of PDEs · Mathematics 2025-06-05 Matthieu Alfaro , Adel Blouza , Nessim Dhaouadi

Understanding how cooperation can evolve in populations despite its cost to individual cooperators is an important challenge. Models of spatially structured populations with one individual per node of a graph have shown that cooperation,…

Populations and Evolution · Quantitative Biology 2024-12-30 Alix Moawad , Alia Abbara , Anne-Florence Bitbol

Understanding the relationship between population and the built environment is essential for addresing socio-spatial inequalities. While researchers have long theorized these dynamics, empirical analyses remain limited. This study develops…

Computers and Society · Computer Science 2026-03-12 Anna Brazdova , Martin Fleischmann

We study metanetworks arising in genotype and phenotype spaces, in the context of a model population of Boolean graphs evolved under selection for short dynamical attractors. We define the adjacency matrix of a graph as its genotype, which…

Biological Physics · Physics 2016-09-06 Burçin Danacı , Ayşe Erzan

Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Here we develop a general approach to modeling heterogeneous populations with discrete…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev , Artem S. Novozhilov , Faina S. Berezovskaya

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

On a global level, ecological communities are being perturbed at an unprecedented rate by human activities and environmental instabilities. Yet, we understand little about what factors facilitate or impede long-term persistence of these…

Populations and Evolution · Quantitative Biology 2024-10-24 Johannes Nauta , Manlio De Domenico

We study the emergence of cooperation in structured populations with any arrangement of cooperators and defectors on the evolutionary graph. Using structure coefficients defined for configurations describing such arrangements of any number…

Populations and Evolution · Quantitative Biology 2019-11-12 Hendrik Richter

Evolutionary models are used to study the self-organisation of collective action, often incorporating population structure due to its ubiquitous presence and long-known impact on emerging phenomena. We investigate the evolution of…

Populations and Evolution · Quantitative Biology 2023-04-20 Diogo L. Pires , Igor Erovenko , Mark Broom

In stochastic evolutionary dynamics, the replacement of an existing genotype or cultural trait by a newly introduced mutant is typically characterized by the quantities of fixation probability and fixation time. But in a structured…

Populations and Evolution · Quantitative Biology 2026-05-27 David A. Brewster , Gabor Lippner , Josef Tkadlec , Martin A. Nowak

At what level does selective pressure effectively act? When considering the reproductive dynamics of interacting and mutating agents, it has long been debated whether selection is better understood by focusing on the individual or if…

Populations and Evolution · Quantitative Biology 2023-11-02 Hardik Rajpal , Clem von Stengel , Pedro A. M. Mediano , Fernando E. Rosas , Eduardo Viegas , Pablo A. Marquet , Henrik J. Jensen

Hypergraphs have been a useful tool for analyzing population dynamics such as opinion formation and the public goods game occurring in overlapping groups of individuals. In the present study, we propose and analyze evolutionary dynamics on…

Physics and Society · Physics 2023-10-16 Ruodan Liu , Naoki Masuda

Ecologists have long investigated how demographic and movement parameters determine the spatial distribution and critical habitat size of a population. However, most models oversimplify movement behavior, neglecting how landscape…

Populations and Evolution · Quantitative Biology 2024-03-11 Vivian Dornelas , Pablo de Castro , Justin M. Calabrese , William F. Fagan , Ricardo Martinez-Garcia

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

Families form the basis of society, and anthropologists have characterised various family systems. This study developed a multi-level evolutionary model of pre-industrial agricultural societies to simulate the evolution of family systems…

Physics and Society · Physics 2021-10-04 Kenji Itao , Kunihiko Kaneko

Human populations have experienced dramatic growth since the Neolithic revolution. Recent studies that sequenced a very large number of individuals observed an extreme excess of rare variants, and provided clear evidence of recent rapid…

Populations and Evolution · Quantitative Biology 2015-06-17 Elodie Gazave , Li Ma , Diana Chang , Alex Coventry , Feng Gao , Donna Muzny , Eric Boerwinkle , Richard Gibbs , Charles F. Sing , Andrew G. Clark , Alon Keinan

A model has been proposed to simulate the evolution of interpersonal relationships in a social group. The small social community is simply assumed as an undirected and weighted graph, where individuals are denoted by vertices, and the…

Other Condensed Matter · Physics 2007-05-23 Bo Hu , Xin-Yu Jiang , Bing-Hong Wang , Jun-Feng Ding , Tao-Zhou , Yan-Bo Xie

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Statistical Mechanics · Physics 2014-07-25 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Miguel A. Munoz , Jayanth R. Banavar , Amos Maritan

Search for possible relationships between phylogeny and ontogeny is one of the most important issues in the field of evolutionary developmental biology. By representing developmental dynamics of spatially located cells with gene expression…

Populations and Evolution · Quantitative Biology 2015-04-01 Takahiro Kohsokabe , Kunihiko Kaneko