A discrete Fourier analysis for evolutionary trees.

  title={A discrete Fourier analysis for evolutionary trees.},
  author={Michael D. Hendy and D. Penny and M. A. Steel},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  volume={91 8},
Discrete Fourier transformations have recently been developed to model the evolution of two-state characters (the Cavender/Farris model). We report here the extension of these transformations to provide invertible relationships between a phylogenetic tree T (with three probability parameters of nucleotide substitution on each edge corresponding to Kimura's 3ST model) and the expected frequencies of the nucleotide patterns in the sequences. We refer to these relationships as spectral analysis… CONTINUE READING

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