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By exploiting an analogy between population genetics and statistical mechanics, we study the evolution of a polygenic trait under stabilizing selection, mutation, and genetic drift. This requires us to track only four macroscopic variables,…

种群与进化 · 定量生物学 2010-11-18 Harold P. de Vladar , Nick Barton

In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as…

种群与进化 · 定量生物学 2022-02-18 Alex McAvoy , Benjamin Allen

The selection pressures that have shaped the evolution of complex traits in humans remain largely unknown, and in some contexts highly contentious, perhaps above all where they concern mean trait differences among groups. To date, the…

种群与进化 · 定量生物学 2020-10-08 Arbel Harpak , Molly Przeworski

Dramatic rise of mutators has been found to accompany adaptation of bacteria in response to many kinds of stress. Two views on the evolutionary origin of this phenomenon emerged: the pleiotropic hypothesis positing that it is a byproduct of…

生物大分子 · 定量生物学 2015-05-14 Muyoung Heo , Eugene Shakhnovich

Our understanding of evolution is shaped strongly by how we conceive of its fundamental causes. In the original Modern Synthesis, evolution was defined as a process of shifting the frequencies of available alleles at many loci affecting a…

种群与进化 · 定量生物学 2018-05-17 Arlin Stoltzfus

We consider the Moran model of population genetics with two types, mutation, and selection, and investigate the line of descent of a randomly-sampled individual from a contemporary population. We trace this ancestral line back into the…

概率论 · 数学 2024-05-22 Ellen Baake , Enrico Di Gaspero , Fernando Cordero

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…

偏微分方程分析 · 数学 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

Stronger selection implies faster evolution---that is, the greater the force, the faster the change. This apparently self-evident proposition, however, is derived under the assumption that genetic variation within a population is primarily…

种群与进化 · 定量生物学 2017-08-18 Masahiko Ueda , Nobuto Takeuchi , Kunihiko Kaneko

We examine birth--death processes with state dependent transition probabilities and at least one absorbing boundary. In evolution, this describes selection acting on two different types in a finite population where reproductive events occur…

种群与进化 · 定量生物学 2010-10-12 Philipp M. Altrock , Chaytanya S. Gokhale , Arne Traulsen

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

种群与进化 · 定量生物学 2022-08-23 Brian Mintz , Feng Fu

Evolution by natural selection can be seen an algorithm for generating creative solutions to difficult problems. More precisely, evolution by natural selection is a class of algorithms that share a set of properties. The question we address…

神经与进化计算 · 计算机科学 2018-06-22 Peter D. Turney

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

适应与自组织系统 · 物理学 2012-08-31 Andrzej Pekalski , Marcel Ausloos

The main topic of this thesis is the analysis of evolution equations reflecting issues in ecology and population dynamics. In mathematical modelling, the impact of environmental elements and the interaction between species is read into the…

偏微分方程分析 · 数学 2021-03-08 Elisa Affili

We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate. Applying a limit of rare mutations to this population while keeping the population…

概率论 · 数学 2011-12-05 Nicolas Champagnat , Amaury Lambert

We discovered a dynamic phase transition induced by sexual reproduction. The dynamics is a pure Darwinian rule with both fundamental ingredients to drive evolution: 1) random mutations and crossings which act in the sense of increasing the…

种群与进化 · 定量生物学 2009-11-13 P. M. C. de Oliveira , S. Moss de Oliveira , D. Stauffer , S. Cebrat , A. Pekalski

Some species exhibit very high levels of DNA sequence variability; there is also evidence for the existence of heritable epigenetic variants that experience state changes at a much higher rate than sequence variants. In both cases, the…

种群与进化 · 定量生物学 2016-01-13 Brian Charlesworth , Kavita Jain

The coevolutionary dynamics in finite populations currently is investigated in a wide range of disciplines, as chemical catalysis, biological evolution, social and economic systems. The dynamics of those systems can be formulated within the…

种群与进化 · 定量生物学 2012-06-12 Jens Christian Claussen

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…

概率论 · 数学 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

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…

种群与进化 · 定量生物学 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

The environment in which a population evolves can have a crucial impact on selection. We study evolutionary dynamics in finite populations of fixed size in a changing environment. The population dynamics are driven by birth and death…

种群与进化 · 定量生物学 2014-09-01 Peter Ashcroft , Philipp M Altrock , Tobias Galla