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Updated: Jun 16, 2026

Using Phylogenetic Analysis to Investigate Eukaryotic Gene Origin
Published on: August 14, 2018
Analyzing the fitch method for reconstructing ancestral states on ultrametric phylogenetic trees
Louxin Zhang1, Jian Shen, Jialiang Yang
1Department of Mathematics, National University of Singapore, Singapore 117543, Singapore. matzlx@nus.edu.sg
Abstract:
The accuracy of the Fitch method for reconstructing ancestral states on ultrametric phylogenetic trees is studied. Two recurrence relations for computing the accuracy are given here. Using these relations, we analyze the convergence of the accuracy of the Fitch method for reconstructing the root state on a complete binary tree of 2( n ) leaves as n goes to infinity, present a closed-form formula for the accuracy on ultrametric comb trees, and provide a lower bound on the accuracy on arbitrary ultrametric phylogenetic trees.
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