The Common Ancestor Process Revisited

@article{Kluth2013TheCA,
  title={The Common Ancestor Process Revisited},
  author={Sandra Kluth and Thiemo Hustedt and Ellen Baake},
  journal={Bulletin of Mathematical Biology},
  year={2013},
  volume={75},
  pages={2003-2027}
}
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… 
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TLDR
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TLDR
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