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Updated: May 7, 2026

Using Phylogenetic Analysis to Investigate Eukaryotic Gene Origin
Published on: August 14, 2018
The common ancestor process revisited
Sandra Kluth1, Thiemo Hustedt, Ellen Baake
1Technische Fakultät, Universität Bielefeld, Box 100131, 33501, Bielefeld, Germany, skluth@techfak.uni-bielefeld.de.
Abstract:
We consider the Moran model in continuous time with two types, mutation, and selection. We concentrate on the ancestral line and its stationary type distribution. Building on work by Fearnhead (J. Appl. Probab. 39 (2002), 38-54) and Taylor (Electron. J. Probab. 12 (2007), 808-847), we characterise this distribution via the fixation probability of the offspring of all individuals of favourable type (regardless of the offspring's types). We concentrate on a finite population and stay with the resulting discrete setting all the way through. This way, we extend previous results and gain new insight into the underlying particle picture.
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