Fundamental models &
Analytical technique
Analytical technique
[Refernece]
Rosenberg, N. A. (2020). Fifty years of theoretical population biology. Theoretical Population Biology, 133, 1-12.
Kreager, P. (2015). Population theory—A long view. Population Studies, 69(sup1), S29-S37.
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
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)
[Refernece]
Bürger, R. (2020). Multilocus population-genetic theory. Theoretical Population Biology, 133, 40-48.