Some Problems of Stochastic Processes in Genetics

@article{Kimura1957SomePO,
  title={Some Problems of Stochastic Processes in Genetics},
  author={Motoo Kimura},
  journal={Annals of Mathematical Statistics},
  year={1957},
  volume={28},
  pages={882-901}
}
  • M. Kimura
  • Published 1 December 1957
  • Biology
  • Annals of Mathematical Statistics
In genetics, stochastic processes arise at all levels of organization ranging from subunits of the gene to natural populations. Types of stochastic processes involved are also diverse. In the present paper, the following five topics have been selected for mathematical discussion and new results are presented: (1) Random assortment of subunits of a gene. (2) Senescence in paramecium due to random assortment of chromosomes. (3) Process of natural selection in a finite population (interaction… 
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FIXATION OF SLIGHTLY BENEFICIAL MUTATIONS: EFFECTS OF LIFE HISTORY
TLDR
This model represents a substantial generalization of earlier models, covering a large range of life histories, and demonstrates that even with complex population structure just two demographic parameters are sufficient to give an accurate approximation of the fixation probability of a slightly beneficial mutation.
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