The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation

Kluth S, Baake E (2013)
Theoretical Population Biology 90: 104-112.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We reconsider the Moran model in continuous time with population size N, two allelic types, and selection. We introduce a new particle representation, which we call the labelled Moran model, and which has the same distribution of type frequencies as the original Moran model, provided the initial values are chosen appropriately. In the new model, individuals are labelled 1, 2,..., N; neutral resampling events may take place between arbitrary labels, whereas selective events only occur in the direction of increasing labels. With the help of elementary methods only, we not only recover fixation probabilities, but also obtain detailed insight into the number and nature of the selective events that play a role in the fixation process forward in time. (c) 2013 Elsevier Inc. All rights reserved.
Stichworte
Labelled Moran model; Moran model with selection; Fixation probability; Defining event; Ancestral line
Erscheinungsjahr
2013
Zeitschriftentitel
Theoretical Population Biology
Band
90
Seite(n)
104-112
ISSN
0040-5809
Page URI
https://pub.uni-bielefeld.de/record/2645211

Zitieren

Kluth S, Baake E. The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology. 2013;90:104-112.
Kluth, S., & Baake, E. (2013). The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology, 90, 104-112. doi:10.1016/j.tpb.2013.09.009
Kluth, S., and Baake, E. (2013). The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology 90, 104-112.
Kluth, S., & Baake, E., 2013. The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology, 90, p 104-112.
S. Kluth and E. Baake, “The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation”, Theoretical Population Biology, vol. 90, 2013, pp. 104-112.
Kluth, S., Baake, E.: The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology. 90, 104-112 (2013).
Kluth, Sandra, and Baake, Ellen. “The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation”. Theoretical Population Biology 90 (2013): 104-112.

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