The Evolving Moran Genealogy.

The Evolving Moran Genealogy.
Theor Popul Biol. 2019 Jul 19;:
Authors: Wirtz J, Wiehe T
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 Ancestor process.
PMID: 31330138 [PubMed - as supplied by publisher]

Source: Theoretical Population Biology - July 18, 2019 Category: Biology Authors: Wirtz J, Wiehe T Tags: Theor Popul Biol Source Type: research