Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution

Lenz U, Kluth S, Baake E, Wakolbinger A (2015)
Theoretical Population Biology 103: 27-37.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor/in
Lenz, Ute; Kluth, SandraUniBi; Baake, EllenUniBi; Wakolbinger, Anton
Abstract / Bemerkung
In a (two-type) Wright-Fisher diffusion with directional selection and two-way mutation, let x denote today's frequency of the beneficial type, and given x, let h(x) be the probability that, among all individuals of today's population, the individual whose progeny will eventually take over in the population is of the beneficial type. Fearnhead (2002) and Taylor (2007) obtained a series representation for h(x). We develop a construction that contains elements of both the ancestral selection graph and the lookdown construction and includes pruning of certain lines upon mutation. Besides being interesting in its own right, this construction allows a transparent derivation of the series coefficients of h(x) and gives them a probabilistic meaning. (C) 2015 Elsevier Inc. All rights reserved.
Stichworte
Common ancestor type distribution; Ancestral selection graph; Lookdown; graph; Pruning; Wright-Fisher diffusion with selection and mutation
Erscheinungsjahr
2015
Zeitschriftentitel
Theoretical Population Biology
Band
103
Seite(n)
27-37
ISSN
0040-5809
Page URI
https://pub.uni-bielefeld.de/record/2766816

Zitieren

Lenz U, Kluth S, Baake E, Wakolbinger A. Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology. 2015;103:27-37.
Lenz, U., Kluth, S., Baake, E., & Wakolbinger, A. (2015). Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology, 103, 27-37. doi:10.1016/j.tpb.2015.01.005
Lenz, U., Kluth, S., Baake, E., and Wakolbinger, A. (2015). Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology 103, 27-37.
Lenz, U., et al., 2015. Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology, 103, p 27-37.
U. Lenz, et al., “Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution”, Theoretical Population Biology, vol. 103, 2015, pp. 27-37.
Lenz, U., Kluth, S., Baake, E., Wakolbinger, A.: Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology. 103, 27-37 (2015).
Lenz, Ute, Kluth, Sandra, Baake, Ellen, and Wakolbinger, Anton. “Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution”. Theoretical Population Biology 103 (2015): 27-37.

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