Conditions for Adaptation of an Evolving Population

Abstract

We propose a model to study the adaptation of an evolving population to a given environment. Using the Monte Carlo simulations we find how much the phenotypes of individuals of the population and those required by the environment may differ for the population to grow. We show that survival chances are greater if the number of the phenotype's features is smaller. In the case when a part of the population may colonize an empty niche, we show that there is a minimum value of the similarity of the two environments in order that such a colonization may succeed. We also show that the two populations differentiate with time.[S0031-9007(96)00054-3]

Dynamics of Adaptation and Evolutionary Branching

“…4 shows numerical simulation of evolutionary branching in a population inhabiting two patches with different optimal strategies and migration between them [13]. (A similar model was analyzed by [14] using the genotype space approach. )…”

Andrzej Pȩkalski Networks of Scientific Interests With Internal Degrees of Freedom Through Self-Citation Analysis

“…E.g., with one of the authors (MA), he studied extensively the tracer (surface) diffusion coefficient of oxygen in deficient CuO planes of YBCO [9,17,18]. Most likely this led him to study molecular [19] phase formation (and reactive) trapping, and by extension, entity trapping, thus predator-prey models [20,21] and population evolutions or dynamics [22,23,24,25]. Such biophysics considerations are being pretty close to or entangled into its macroscopic counterpart, the behavior of human population [25], APE went on to study Bio-Socio-Econo (BSE)-physics problems, like Model of Wealth and Goods Dynamics in a Closed Market [26] and recently prison riots [27].…”

“…Kowalski, and A. Pȩkalski: Magnetic Lattice Gas [10] 3. 17 times: I. Mroz, A. Pekalski, and K. SznajdWeron: Conditions for adaptation of an evolving population [23] In order to characterize the trends of activity or research fields in the career of APE, as well as to verify the pertinence of the automatic classification, we can take a look at the keywords associated to the articles in each cluster, when available. There are only a few overlaps between the three clusters; this confirms the relevance of the three revealed sub-groups.…”

Genetic polymorphism in an evolving population

“…This is of importance in the light of the fact that the superiority of an allele holds only in certain environments, or at certain gene frequencies, or in conjunction with certain other alleles. In biology, how to maintain polymorphism is described in a phenomenological manner by introducing such assumptions as the balance of selection and recurrent mutation, selection balanced by gene flow, heterozygous advantage selection, frequency-dependent selection, and variable selection in time or space [1].Recently, a number of models for evolving population, including geographic speciation and conditions for adaptation of population, have been developed through the method of statistical mechanics [5,6]. In particular, Mróz et al have introduced an interesting population model in which individuals are represented by their genotypes and phenotypes while the environment characterizes the ideal phenotype [6].…”

“…In particular, Mróz et al have introduced an interesting population model in which individuals are represented by their genotypes and phenotypes while the environment characterizes the ideal phenotype [6]. In this model, a random population must have the initial adaptation greater than a certain critical value in order to grow in an environment which does not change with time.…”