The Common Ancestor Process Revisited

Kluth S, Hustedt T, Baake E (2013)
Bulletin Of Mathematical Biology 75(11): 2003-2027.

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Journal Article | Original Article | Published | English

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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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Kluth S, Hustedt T, Baake E. The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology. 2013;75(11):2003-2027.
Kluth, S., Hustedt, T., & Baake, E. (2013). The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology, 75(11), 2003-2027. doi:10.1007/s11538-013-9871-0
Kluth, S., Hustedt, T., and Baake, E. (2013). The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology 75, 2003-2027.
Kluth, S., Hustedt, T., & Baake, E., 2013. The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology, 75(11), p 2003-2027.
S. Kluth, T. Hustedt, and E. Baake, “The Common Ancestor Process Revisited”, Bulletin Of Mathematical Biology, vol. 75, 2013, pp. 2003-2027.
Kluth, S., Hustedt, T., Baake, E.: The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology. 75, 2003-2027 (2013).
Kluth, Sandra, Hustedt, Thiemo, and Baake, Ellen. “The Common Ancestor Process Revisited”. Bulletin Of Mathematical Biology 75.11 (2013): 2003-2027.
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