Numerical complete solution for random genetic drift by energetic variational approach

Complete numerical solution of the diffusion equation of random genetic drift.

A numerical method is presented to solve the diffusion equation for the random genetic drift that occurs at a single unlinked locus with two alleles. The method was designed to conserve probability, and the resulting numerical solution represents a probability distribution whose total probability is unity. We describe solutions of the diffusion equation whose total probability is unity as compl...

Changes in Genetic Variance Induced by Random Genetic Drift

We noted in Chapter 2 that when operating as the sole evolutionary force, random genetic drift leads inevitably to the loss of alleles within populations as well as to the fixation of alternative alleles in different populations. These conclusions extend logically to quantitative characters. Following a reduction in population size, for example, we expect the genetic variance within populations...

Multinomial-sampling models for random genetic drift.

Three different derivations of models with multinomial sampling of genotypes in a finite population are presented. The three derivations correspond to the operation of random drift through population regulation, conditioning on the total number of progeny, and culling, respectively. Generations are discrete and nonoverlapping; the diploid population mates at random. Each derivation applies to a...

Random Genetic Drift & Gene Fixation

Random Genetic Drift is one of the evolutionary forces that effects the distribution of alleles and changes their frequencies in populations. The main idea behind this theory is that genetic changes can happen randomly. This can be explained through the Bottleneck effect. There are two main factors that have an influence on genetic drift, the first one is the Effective Population Size Ne , whic...

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods