# On statistical tests of phylogenetic tree imbalance: the Sackin and other indices revisited.

@article{Blum2005OnST, title={On statistical tests of phylogenetic tree imbalance: the Sackin and other indices revisited.}, author={Michael G. B. Blum and Olivier François}, journal={Mathematical biosciences}, year={2005}, volume={195 2}, pages={ 141-53 } }

## 97 Citations

Two Remarks on The Sackin and Colless Indices of Trees

- Mathematics, Computer Science
- 2022

This short paper provides an asymptotic analysis of the expected Sackin and Colless indices on tree shapes under the uniform model where tree shapes are sampled with equal probability.

apTreeshape: statistical analysis of phylogenetic tree shape

- BiologyBioinform.
- 2006

A companion library of the R package 'ape', which provides additional functions for reading, plotting, manipulating phylogenetic trees and for connecting to public phylogenetic tree databases.

Gaussian approximations for phylogenetic branch length statistics under stochastic models of biodiversity.

- BiologyMathematical biosciences
- 2007

A new resolution function to evaluate tree shape statistics

- Environmental SciencePloS one
- 2019

A new resolution function to evaluate the power of different tree shape statistics to distinguish between dissimilar trees is proposed and it is shown that the newresolution function requires less time and space in comparison with the previously proposed resolution function.

Tree shape‐based approaches for the comparative study of cophylogeny

- BiologyEcology and evolution
- 2019

This work investigated the use of tree shape distance measures to quantify the degree of cophylogeny and implemented a reverse‐time simulation model of pathogen phylogenies within a fixed host tree, given cospeciation probability, host switching, and pathogen speciation rates.

Two Results about the Sackin and Colless Indices for Phylogenetic Trees and Their Shapes

- Mathematics
- 2022

The Sackin and Colless indices are two widely-used metrics for measuring the balance of trees and for testing evolutionary models in phylogenetics. This short paper contributes two results about the…

Phylodynamic Inference with Kernel ABC and Its Application to HIV Epidemiology

- Computer ScienceMolecular biology and evolution
- 2015

This study demonstrates that a new distance measure, based on a subset tree kernel function from computational linguistics, confers a significant improvement over previous measures of tree shape for classifying trees generated under different epidemiological scenarios and incorporates it into an approximate Bayesian computation (ABC) framework for phylodynamic inference.

Exact and approximate limit behaviour of the Yule tree’s cophenetic index

- MathematicsbioRxiv
- 2017

In this work we study the limit distribution of an appropriately normalized cophenetic index of the pure birth tree on n contemporary tips. We show that this normalized phylogenetic balance index is…

Signatures of Microevolutionary Processes in Phylogenetic Patterns

- BiologySystematic biology
- 2019

It is shown that parapatric and sympatric speciation are well separated by these structural tree properties, and microevolutionary processes modeled here capture signatures of the diversification pattern of evolutionary radiations, regarding the symmetry and speed of diversification of lineages.

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UNLABELLED
Analysis of Phylogenetics and Evolution (APE) is a package written in the R language for use in molecular evolution and phylogenetics. APE provides both utility functions for reading and…