Weak mutation limits of the Moran model in population genetics

• 富崎 松代/飯塚 勝

抄録

For the continuous-time Moran model with mutation and selection, we consider weak mutation limits. By means of the theories of one-dimensional generalized diffusion processes and one-dimensional bi-generalized diffusion processes, we prove limit theorems which show that the limit processes of the Moran model are simple jump Markov processes and they depend on the strength of selection (weak, moderate, and strong selections). Results show that these limits are the same as the jump Markov processes obtained as weak mutation limits of the diffusion model that approximates the Moran model.

収録刊行物

• 人間文化研究科年報

  人間文化研究科年報 28 1-12, 2013-03-31

  奈良女子大学

キーワード

• Moran Model; Popuration genetics; Diffusion process; birth and death process

詳細情報

• CRID: 1572824502716325632
• NII論文ID: 110009560017
• NII書誌ID: AN10065983
• ISSN: 09132201
• 本文言語コード: en
• データソース種別:
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