Fundamental models

Wright-Fisher model

1. process

Initially, a population has N individuals who have different alleles. We assume that the population size is constant. Consider allele distribution at a next generation. At the next generation, we assume empty N sites. The first site is filled with any child of N parents. The second site is filled with any child of N parents too. Third, forth, ... site is similar.

Here, which allele will establish after finite generations?

< Appendix >

Simulation code is fundamentalModelsInEvolution/wright-fisher/wright-fisher_neutral.R

Moran model

1. process

Initially, a population has N individuals who have either of two types of alleles (e.g., residents' 0 or mutant's 1). We assume that the population size is constant. Consider allele distribution at a next generation. At the next generation, we assume empty N sites. The first site is filled with any child of N parents. The second site is filled with any child of N parents too. Third, forth, ... site is similar. The probabilty of mutant's reproducing its child is more frequent r times than that of residents.

Here, which allele will establish after finite generations?

< Appendix >

Simulation code is fundamentalModelsInEvolution/wright-fisher/wright-fisher_neutral.R

(Figure)