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

Sandra Kluth and Ellen Baake

Theoretical Population Biology, 2013, vol. 90, issue C, 104-112

Abstract: 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.

Keywords: Moran model with selection; Fixation probability; Labelled Moran model; Defining event; Ancestral line (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:90:y:2013:i:c:p:104-112

DOI: 10.1016/j.tpb.2013.09.009

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