The Probabilities of Trees and Cladograms under Ford’s α-Model-Reference-Cited by-同舟云学术

The Probabilities of Trees and Cladograms under Ford’s α-Model

Published:2018 Issue: Volume:2018 Page:1-7
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Coronado Tomás M.¹^ORCID,Mir Arnau¹,Rosselló Francesc¹^ORCID

Affiliation:

1. Balearic Islands Health Research Institute (IdISBa) and Department of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, Spain

Abstract

Ford’s α-model is one of the most popular random parametric models of bifurcating phylogenetic tree growth, having as specific instances both the uniform and the Yule models. Its general properties have been used to study the behavior of phylogenetic tree shape indices under the probability distribution it defines. But the explicit formulas provided by Ford for the probabilities of unlabeled trees and phylogenetic trees fail in some cases. In this paper we give correct explicit formulas for these probabilities.

Funder

Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2018/1916094.pdf

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