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

Autor: Tomás M. Coronado, Arnau Mir, Francesc Rosselló
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: The Scientific World Journal, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 2356-6140
1537-744X
DOI: 10.1155/2018/1916094
Popis: 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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