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Updated: Apr 15, 2026

A Practical Guide to Phylogenetics for Nonexperts

A Practical Guide to Phylogenetics for Nonexperts

Published on: February 5, 2014

Do tree split probabilities determine the branch lengths?

Benny Chor¹, Mike Steel²

¹School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel.

Journal of Theoretical Biology

|April 7, 2015

Summary

This summary is machine-generated.

Phylogenetic tree branch lengths can be estimated using only edge-specific DNA sequence patterns. This method works for short branches and is extended to trees with up to four leaves, simplifying evolutionary analysis.

Keywords:

Evolutionary model Hadamard transform Inverse function theorem Markov process Phylogenetic tree reconstruction Systems of polynomial equations

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Area of Science:

Computational Biology
Phylogenetics
Evolutionary Genetics

Background:

DNA sequence evolution is typically modeled using Markov processes on phylogenetic trees.
Estimating tree topology and branch lengths from site patterns is fundamental but can be redundant.
The relationship between site pattern probabilities and tree parameters is well-established.

Purpose of the Study:

To investigate if edge-specific DNA sequence patterns are sufficient for recovering phylogenetic tree branch lengths.
To determine if this sufficiency holds under a symmetric 2-state Markov process.
To explore the necessity of the 'sufficiently short' branch length restriction.

Main Methods:

Application of the inverse function theorem to analyze the relationship between edge-specific patterns and branch lengths.
Theoretical analysis of Markov processes on phylogenetic trees.
Examination of trees with varying numbers of leaves (up to four).

Main Results:

Edge-specific patterns suffice to recover branch lengths for sufficiently short branches under a symmetric 2-state Markov process.
The restriction to short branch lengths can be lifted for trees with up to four leaves.
Results are extendable to certain multi-state Markov processes, including the Jukes-Cantor model.

Conclusions:

A subset of DNA sequence patterns (edge-specific) can effectively determine phylogenetic tree branch lengths.
The findings simplify parameter estimation in phylogenetics, especially for smaller trees.
Further research is needed to ascertain if this holds for all tree sizes and Markov models.