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We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled as a finite-type Markov branching process in continuous time, and the associated…

Populations and Evolution · Quantitative Biology 2009-02-23 Ellen Baake , Hans-Otto Georgii

Ecological selection is a major driver of community assembly. Selection is classified as stabilizing when species with intermediate trait values gain the highest reproductive success, whereas selection is considered directional when fitness…

Populations and Evolution · Quantitative Biology 2021-05-13 DeMalach Niv , Po-Ju Ke , Tadashi Fukami

A central problem in biology is to understand how organisms evolve and adapt to their environment by acquiring variations in the observable characteristics or traits of species across the tree of life. With the growing availability of…

Different types of evolutionary algorithms have been developed for constrained continuous optimization. We carry out a feature-based analysis of evolved constrained continuous optimization instances to understand the characteristics of…

Neural and Evolutionary Computing · Computer Science 2015-06-24 Shayan Poursoltan , FranK Neumann

One essential ingredient of evolutionary theory is the concept of fitness as a measure for a species' success in its living conditions. Here, we quantify the effect of environmental fluctuations onto fitness by analytical calculations on a…

Populations and Evolution · Quantitative Biology 2015-05-19 Anna Melbinger , Massimo Vergassola

In mathematical phylogenetics, evolutionary relationships are often represented by trees and networks. The latter are typically used whenever the relationships cannot be adequately described by a tree, which happens when so-called…

Populations and Evolution · Quantitative Biology 2025-12-05 Mirko Wilde , Mareike Fischer

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

We demonstrate with a thought experiment that fitness-based population dynamical approaches to evolution are not able to make quantitative, falsifiable predictions about the long-term behavior of evolutionary systems. A key characteristic…

Populations and Evolution · Quantitative Biology 2015-05-14 Peter Klimek , Stefan Thurner , Rudolf Hanel

We discuss a simple model of co-evolution. In order to emphasise the effect of interaction between individuals the entire population is subjected to the same physical environment. Species are emergent structures and extinction, origination…

Statistical Mechanics · Physics 2007-05-23 Kim Christensen , Simone A. di Collobiano , Matt Hall , Henrik J. Jensen

A stochastic model for the evolution of a growing population is proposed, in order to explain empirical power-law distributions in the frequency of family names as a function of the family size. Preliminary results show that the predicted…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Damian H. Zanette , Susanna C. Manrubia

Reproductive success and survival are influenced by wealth in human populations. Wealth is transmitted to offsprings and strategies of transmission vary over time and among populations, the main variation being how equally wealth is…

Physics and Society · Physics 2015-06-23 G. Augustins , L. Etienne , J-B. Ferdy , R. Ferrer , B. Godelle , E. Pitard , F. Rousset

Two mathematical models of macroevolution are studied. These models have population dynamics at the species level, and mutations and extinction of species are also included. The population dynamics are updated by difference equations with…

Populations and Evolution · Quantitative Biology 2014-04-16 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

We are interested in the evolving genealogy of a birth and death process with trait structure and ecological interactions. Traits are hereditarily transmitted from a parent to its offspring unless a mutation occurs. The dynamics may depend…

Probability · Mathematics 2012-06-20 Sylvie Méléard , Viet Chi Tran

We use dynamical generating functionals to study the stability and size of communities evolving in Lotka-Volterra systems with random interaction coefficients. The size of the eco-system is not set from the beginning. Instead, we start from…

Populations and Evolution · Quantitative Biology 2018-10-17 Tobias Galla

We generalize the standard Penna bit-string model of biological ageing by assuming that each deleterious mutation diminishes the survival probability in every time interval by a small percentage. This effect is added to the usual lethal but…

Statistical Mechanics · Physics 2015-06-24 J. S. Sá Martins , D. Stauffer

Complementarity among species with different traits is one of the basic processes affecting biodiversity, defined as the number of species in the ecosystem. We present here a soluble model ecosystem in which the species are characterized by…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

The population in the sexual Penna ageing model is first separated into several reproductively isolated groups. Then, after equilibration, sexual mixing between the groups is allowed. We study the changes in the population size due to this…

Populations and Evolution · Quantitative Biology 2009-11-13 K. Bonkowska , M. Kula , S. Cebrat , D. Stauffer

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

We study time continuous branching processes with exponentially distributed lifetimes, with two types of cells that proliferate according to binary fission. A range of possible system dynamics are considered, each of which is characterized…

Probability · Mathematics 2022-04-27 Nam H Nguyen , Marek Kimmel

We present an individual-based model of phenotypic trait evolution in two-sex populations, which includes semi-random mating of individuals of the opposite sex, natural death and intra-specific competition. By passing the number of…

Probability · Mathematics 2015-02-24 Paweł Zwoleński
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