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Biological systems like long-lived clonal organisms, holobionts and clades challenge traditional evolutionary thinking since they adapt without populations or reproduction. This paper aims to provide an overarching theoretical framework…

Populations and Evolution · Quantitative Biology 2026-02-25 Rudy Arthur

We derive an analytical approximation for making quantitative predictions for ecological communities as a function of the mean intensity of the inter-specific competition and the species richness. This method, with only a fraction of the…

Populations and Evolution · Quantitative Biology 2017-08-14 Hugo Fort

Both external environmental selection and internal lower-level evolution are essential for an integral picture of evolution. This paper proposes that the division of internal evolution into DNA/RNA pattern formation (genotype) and protein…

Populations and Evolution · Quantitative Biology 2009-12-14 Simon Fu

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

Phenotypes of individuals in a population of organisms are not fixed. Phenotypic fluctuations, which describe temporal variation of the phenotype of an individual or individual-to-individual variation across a population, are present in…

Populations and Evolution · Quantitative Biology 2018-08-15 Hong-Yan Shih , Harry Mickalide , David T. Fraebel , Nigel Goldenfeld , Seppe Kuehn

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

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

Textual analysis of typical microbial genomes reveals that they have the statistical characteristics of a DNA sequence of a much shorter length. This peculiar property supports an evolutionary model in which a genome evolves by random…

Biological Physics · Physics 2009-11-07 L. C. Hsieh , L. F. Luo , F. M. Ji , H. C. Lee

A dynamical model of an ecological community is analyzed within a "mean-field approximation" in which one of the species interacts with the combination of all of the other species in the community. Within this approximation the model may be…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Alan McKane , David Alonso , Ricard V. Sole

Due to the ability of deep neural nets to learn rich representations, recent advances in unsupervised domain adaptation have focused on learning domain-invariant features that achieve a small error on the source domain. The hope is that the…

Machine Learning · Computer Science 2019-05-31 Han Zhao , Remi Tachet des Combes , Kun Zhang , Geoffrey J. Gordon

Machine intelligence can develop either directly from experience or by inheriting experience through evolution. The bulk of current research efforts focus on algorithms which learn directly from experience. I argue that the alternative,…

Neural and Evolutionary Computing · Computer Science 2021-06-22 Awni Hannun

The evolution of complex molecular traits such as disulphide bridges often requires multiple mutations. The intermediate steps in such evolutionary trajectories are likely to be selectively neutral or deleterious. Therefore, large…

Populations and Evolution · Quantitative Biology 2007-10-16 Dion J. Whitehead , Claus O. Wilke , David Vernazobres , Erich Bornberg-Bauer

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

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

Learning guarantees often rely on assumptions of i.i.d. data, which will likely be violated in practice once predictors are deployed to perform real-world tasks. Domain adaptation approaches thus appeared as a useful framework yielding…

Machine Learning · Computer Science 2021-06-29 Joao Monteiro , Xavier Gibert , Jianqiao Feng , Vincent Dumoulin , Dar-Shyang Lee

The profound impact of Darwin's theory of evolution on biology has led to the acceptance of the theory in many complex systems that lie well beyond its original domain. Culture is one example that also exhibits key Darwinian evolutionary…

Physics and Society · Physics 2019-03-07 Seungkyu Shin , Juyong Park

The concept of fitness is introduced, and a simple derivation of the Fundamental Theorem of Natural Selection (which states that the average fitness of a population increases if its variance is nonzero) is given. After a short discussion of…

Condensed Matter · Physics 2008-02-03 Luca Peliti

This paper introduces a variational formulation of natural selection, paying special attention to the nature of "things" and the way that different "kinds" of "things" are individuated from - and influence - each other. We use the Bayesian…

Populations and Evolution · Quantitative Biology 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

We propose a continuous model for evolutionary rate variation across sites and over the tree and derive exact transition probabilities under this model. Changes in rate are modelled using the CIR process, a diffusion widely used in…

Probability · Mathematics 2007-05-23 Thomas Lepage , Stephan Lawi , Paul Tupper , David Bryant

Consider a mathematical model of evolutionary adaptation of fitness landscape and mutation matrix as a reaction to population changes. As a basis, we use an open quasispecies model, which is modified to include explicit death flow. We…

Populations and Evolution · Quantitative Biology 2020-11-25 Igor Samokhin , Tatiana Yakushkina , Alexander S. Bratus