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Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly…

Populations and Evolution · Quantitative Biology 2011-11-10 Per Arne Rikvold

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

We present a method for using neural networks to model evolutionary population dynamics, and draw parallels to recent deep learning advancements in which adversarially-trained neural networks engage in coevolutionary interactions. We…

Neural and Evolutionary Computing · Computer Science 2018-04-13 Nick Moran , Jordan Pollack

Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

Populations and Evolution · Quantitative Biology 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

We construct a model of speciation from evolution in an ecosystem consisting of a limited amount of energy recources. The species posses genetic information, which is inherited according to the rules of the Penna model of genetic evolution.…

Soft Condensed Matter · Physics 2007-05-23 Aleksandra Nowicka , Artur Duda , Miroslaw R. Dudek

Species trees represent the historical divergences of populations or species, while gene trees trace the ancestry of individual gene copies sampled within those populations. In cases involving rapid speciation, gene trees with topologies…

Populations and Evolution · Quantitative Biology 2015-08-28 James H. Degnan , John A. Rhodes

After an introduction to the general topic of models for a given locus of a diploid population whose quadratic dynamics is determined by a fitness landscape, we consider more specifically the models that can be treated using genetic (or…

Populations and Evolution · Quantitative Biology 2016-07-08 Nicolas Grosjean , Thierry Huillet , Geneviève Rollet

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

Populations and Evolution · Quantitative Biology 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

We study how changes in population size and fluctuating environmental conditions influence the establishment of seed banks in plants. Our model is a modification of the Wright-Fisher model with seed bank, introduced by Kaj, Krone and…

Probability · Mathematics 2026-02-05 Alison Etheridge , João Luiz de Oliveira Madeira

In nature, most microbial populations have complex spatial structures that can affect their evolution. Evolutionary graph theory predicts that some spatial structures modelled by placing individuals on the nodes of a graph affect the…

Populations and Evolution · Quantitative Biology 2024-12-30 Alia Abbara , Lisa Pagani , Celia García-Pareja , Anne-Florence Bitbol

Theoretical understanding of evolutionary dynamics in spatially structured populations often relies on non-spatial models. Biofilms are among such populations where a more accurate understanding is of theoretical interest and can reveal new…

Biological Physics · Physics 2021-05-26 Youness Azimzade , Abbas Ali Saberi

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

A wide variety of stochastic models of cladogenesis (based on speciation and extinction) lead to an identical distribution on phylogenetic tree shapes once the edge lengths are ignored. By contrast, the distribution of the tree's edge…

Populations and Evolution · Quantitative Biology 2024-11-05 Mike Steel

The paper reviews the results obtained for spatial population models and the evolution of the genealogies of these populations during the last decade by the author and his coworkers. The focus is on their large scale behaviour and on the…

Probability · Mathematics 2019-07-17 Andreas Greven

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

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

We present an individual based model of evolutionary ecology. The reproduction rate of individuals characterized by their genome depends on the composition of the population in genotype space. Ecological features such as the taxonomy and…

Statistical Mechanics · Physics 2016-08-31 Matt Hall , Kim Christensen , Simone A. di Collobiano , Henrik Jeldtoft Jensen

Mating preferences of many biological species are not constant but season-dependent. Within the framework of evolutionary game theory this can be modeled with two finite opposite-sex populations playing against each other following the…

Populations and Evolution · Quantitative Biology 2015-08-13 Olena Tkachenko , Juzar Thingna , Sergey Denisov , Vasily Zaburdaev , Peter Hänggi

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

Phylogenetic trees are widely used to understand the evolutionary history of organisms. Tree shapes provide information about macroevolutionary processes. However, macroevolutionary models are unreliable for inferring the true processes…

Populations and Evolution · Quantitative Biology 2021-10-11 Albert Ch. Soewongsono , Barbara R. Holland , Małgorzata M. O'Reilly