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 2n 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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Work of L. Zhang was supported by ARF(R146-000-109-112).
Work of J. Shen was partially supported by NSF (CNS 0835834) and Texas Higher Education Coordinating Board (ARP 003615-0039-200).
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Zhang, L., Shen, J., Yang, J. et al. Analyzing the Fitch Method for Reconstructing Ancestral States on Ultrametric Phylogenetic Trees. Bull. Math. Biol. 72, 1760–1782 (2010). https://doi.org/10.1007/s11538-010-9505-8
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DOI: https://doi.org/10.1007/s11538-010-9505-8