The expected value of the squared cophenetic metric under the Yule and the uniform models

DOI10.1016/j.mbs.2017.11.007zbMath1380.92045OpenAlexW2768589677WikidataQ46258314 ScholiaQ46258314MaRDI QIDQ1697316

Francesc Rosselló, Lucía Rotger, Arnau Mir, Gabriel Cardona

Publication date: 15 February 2018

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2017.11.007

zbMATH Keywords

Yule modelphylogenetic treeuniform modelSackin indexcophenetic metrictotal cophenetic index

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of graph theory (05C90) Taxonomy, cladistics, statistics in mathematical biology (92B10)

Related Items (1)

A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees

Cites Work

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• A new balance index for phylogenetic trees
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• The mean value of the squared path-difference distance for rooted phylogenetic trees
• Distributions of cherries for two models of trees
• Exact formulas for the variance of several balance indices under the Yule model
• Comparing Trees with Pendant Vertices Labelled
• The probabilities of rooted tree-shapes generated by random bifurcation
• Properties of phylogenetic trees generated by Yule-type speciation models

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