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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 role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

种群与进化 · 定量生物学 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

We study the effect of mutations in a simple model of colonization, based on Montecarlo simulations. When the population colonizes the whole available habitat, a maximum population density is reached, which depends on the mutation rate.…

种群与进化 · 定量生物学 2009-11-10 R. Huerta-Quintanilla , M. Rodriguez-Achach

The population is composed of individuals characterised by their genetic strings, phenotypes and ages. We discuss the influence of probabilities of survival of the individuals on the dynamics and phenotypic variability of the population. We…

生物物理 · 物理学 2009-11-10 Iwona Mroz

Our paper computationally explores the extinction dynamics of an animal species effected by a sudden spike in mortality due to an extreme event. In our study, the animal species has a 2-year life cycle and is endowed with a high survival…

定量方法 · 定量生物学 2007-05-23 Sukanto Bhattacharya , Sreepurna Malakar

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

统计力学 · 物理学 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

Environmental stochasticity is known to be a destabilizing factor, increasing abundance fluctuations and extinction rates of populations. However, the stability of a community may benefit from the differential response of species to…

种群与进化 · 定量生物学 2016-02-10 Matan Danino , Nadav M. Shnerb , Sandro Azaele , William E. Kunin , David A. Kessler

We consider stochastic growth models for populations organized in colonies and subject to uniform catastrophes. To assess population viability, we analyze scenarios in which individuals adopt dispersion strategies after catastrophic events.…

We conducted an investigation of the effect that extreme variability of the individual's environment has in the individual's adaptability and, in general, in the co-evolution of a population. First we assume that the individuals are a kind…

生物物理 · 物理学 2008-04-21 Juan G. Diaz Ochoa

Populations interact non-linearly and are influenced by environmental fluctuations. In order to have realistic mathematical models, one needs to take into account that the environmental fluctuations are inherently stochastic. Often,…

概率论 · 数学 2025-07-29 Alexandru Hening , Siddharth Sabharwal

Climate change is an impending disaster which is of pressing concern more and more every year. Countless efforts have been made to study the long-term effects of climate change on agriculture, land resources, and biodiversity. Studies…

机器学习 · 计算机科学 2021-01-12 Lynn Wahab , Ezzat Chebaro , Jad Ismail , Amir Nasrelddine , Ali El-Zein

We introduce a model to study the impact of catastrophes on evolutionary paths. If we do not allow catastrophes the number of changes in the maximum fitness of a population grows logarithmically with respect to time. Allowing catastrophes…

种群与进化 · 定量生物学 2021-11-16 Rinaldo B. Schinazi

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

种群与进化 · 定量生物学 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

Models of population growth and extinction are an increasingly popular subject of study. However, consequences of stochasticity and noise in shaping distributions and outcomes are not sufficiently explored. Here we consider a distributed…

统计力学 · 物理学 2020-11-11 Bertrand Ottino-Löffler , Mehran Kardar

Frequency dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency dependent selection, the average fitness of the population may increase or decrease based on…

种群与进化 · 定量生物学 2015-06-23 Weini Huang , Christoph Hauert , Arne Traulsen

We analyze the long-term stability of a stochastic model designed to illustrate the adaptation of a population to variation in its environment. A piecewise-deterministic process modeling adaptation is coupled to a Feller logistic diffusion…

概率论 · 数学 2021-09-14 Aurélien Velleret

The abundance of a species' population in an ecosystem is rarely stationary, often exhibiting large fluctuations over time. Using historical data on marine species, we show that the year-to-year fluctuations of population growth rate obey a…

适应与自组织系统 · 物理学 2015-06-02 Jie Sun , Sean P. Cornelius , John Janssen , Kimberly A. Gray , Adilson E. Motter

Species extinction is a core process that affects the diversity of life on Earth. Competition between species in a population is considered by ecological niche-based theories as a key factor leading to different severity of species…

种群与进化 · 定量生物学 2020-07-28 Ivan Sudakov , Sergey A. Vakulenko , John T. Bruun

We present an explicit unified stochastic model of fluctuations in population size due to random birth, death, density-dependent competition and environmental fluctuations. Stochastic dynamics provide insight into small populations,…

种群与进化 · 定量生物学 2008-07-31 Alexei J. Drummond , Peter D. Drummond
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