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

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 dis...

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Detalles Bibliográficos
Autores principales: Coronado, Tomás M., Mir, Arnau, Rosselló, Francesc
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2018
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5932459/
https://www.ncbi.nlm.nih.gov/pubmed/29849509
http://dx.doi.org/10.1155/2018/1916094
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author Coronado, Tomás M.
Mir, Arnau
Rosselló, Francesc
author_facet Coronado, Tomás M.
Mir, Arnau
Rosselló, Francesc
author_sort Coronado, Tomás M.
collection PubMed
description 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.
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spelling pubmed-59324592018-05-30 The Probabilities of Trees and Cladograms under Ford's α-Model Coronado, Tomás M. Mir, Arnau Rosselló, Francesc ScientificWorldJournal Research Article 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. Hindawi 2018-04-18 /pmc/articles/PMC5932459/ /pubmed/29849509 http://dx.doi.org/10.1155/2018/1916094 Text en Copyright © 2018 Tomás M. Coronado et al. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Coronado, Tomás M.
Mir, Arnau
Rosselló, Francesc
The Probabilities of Trees and Cladograms under Ford's α-Model
title The Probabilities of Trees and Cladograms under Ford's α-Model
title_full The Probabilities of Trees and Cladograms under Ford's α-Model
title_fullStr The Probabilities of Trees and Cladograms under Ford's α-Model
title_full_unstemmed The Probabilities of Trees and Cladograms under Ford's α-Model
title_short The Probabilities of Trees and Cladograms under Ford's α-Model
title_sort probabilities of trees and cladograms under ford's α-model
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5932459/
https://www.ncbi.nlm.nih.gov/pubmed/29849509
http://dx.doi.org/10.1155/2018/1916094
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