Universität zu Köln

Wirtz, Johannes and Wiehe, Thomas ORCID: 0000-0002-8932-2772 (2019). The Evolving Moran Genealogy. Theor. Popul. Biol., 130. S. 94 - 106. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0325

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Abstract

We study the evolution of the population genealogy in the classic neutral Moran Model of finite size n epsilon 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. (C) 2019 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Wirtz, Johannes UNSPECIFIED UNSPECIFIED UNSPECIFIED Wiehe, Thomas UNSPECIFIED orcid.org/0000-0002-8932-2772 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-125930
DOI:	10.1016/j.tpb.2019.07.005
Journal or Publication Title:	Theor. Popul. Biol.
Volume:	130
Page Range:	S. 94 - 106
Date:	2019
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1096-0325
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Biology > Institute for Genetics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PHYLOGENETIC TREES; SELECTION; DYNAMICS; MUTATION; MODELS; YULE Multiple languages Ecology; Evolutionary Biology; Genetics & Heredity; Mathematical & Computational Biology Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12593