The Evolving Moran Genealogy

Johannes Wirtz and Thomas Wiehe

Theoretical Population Biology, 2019, vol. 130, issue C, 94-105

Abstract: We study the evolution of the population genealogy in the classic neutral Moran Model of finite size n∈N and in discrete time. The stochastic transformations that shape a Moran population can be realized directly on its genealogy and give rise to a process on a state space consisting of n-sized binary increasing trees. We derive a number of properties of this process, and show that they are in agreement with existing results on the infinite-population limit of the Moran Model. Most importantly, this process admits time reversal, which makes it possible to simplify the mechanisms determining state changes, and allows for a thorough investigation of the Most Recent Common Ancestorprocess.

Keywords: Moran model; Yule model; Kingman Coalescent; Markov chains; Time reversal (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:130:y:2019:i:c:p:94-105

DOI: 10.1016/j.tpb.2019.07.005

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