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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:
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
Descripción
Sumario: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.