Journal
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 72, Issue 7, Pages 1760-1782Publisher
SPRINGER
DOI: 10.1007/s11538-010-9505-8
Keywords
Ancestral state reconstruction; Reconstruction accuracy; Fitch method; Phylogenetic trees
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Funding
- ARF [R146-000-109-112]
- NSF [CNS 0835834]
- Texas Higher Education Coordinating Board [ARP 003615-0039-200]
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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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