The Yule branching process is a classical model for the random generation of gene tree topologies in population genetics. It generates binary ranked trees -also called histories- with a finite number n of leaves. We study the lengths ℓ1>ℓ2>⋯>ℓk>⋯ of the external branches of a Yule generated random history of size n, where the length of an external branch is defined as the rank of its parent node.

Distribution of External Branch Lengths in Yule Histories

Disanto, Filippo;
2023-01-01

Abstract

The Yule branching process is a classical model for the random generation of gene tree topologies in population genetics. It generates binary ranked trees -also called histories- with a finite number n of leaves. We study the lengths ℓ1>ℓ2>⋯>ℓk>⋯ of the external branches of a Yule generated random history of size n, where the length of an external branch is defined as the rank of its parent node.
2023
Disanto, Filippo; Fuchs, Michael
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1200027
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