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Information Metrics for Phylogenetic Trees via Distributions of Discrete and Continuous Characters

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Geometric Science of Information (GSI 2021)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12829))

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Abstract

A wide range of metrics between phylogenetic trees are used in evolutionary molecular biology. They are typically based directly on the branching patterns and edge lengths represented by the trees. Metrics have recently been proposed which are based on the information content of distributions of genetic characters induced by the trees. We first show how these metrics lead to a change to the topology of the underlying tree space. Next we show via computational methods that the metrics are stable under changes to the Markov process used to generate characters, at least in the case of 5 taxa. As a result, a Gaussian process defined over the edges of trees can be used to compute the metrics, leading to a substantial computational efficiency over DNA nucleotide-valued Markov process models.

Acknowledging DFG HU 1575/7, DFG GK 2088, DFG SFB 1465 and the Niedersachsen Vorab of the Volkswagen Foundation.

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References

  1. Allen, Benjamin L., Steel, Mike: Subtree transfer operations and their induced metrics on evolutionary trees. Ann. Comb. 5(1), 1–15 (2001)

    Google Scholar 

  2. Billera, L., Holmes, S., Vogtmann, K.: Geometry of the space of phylogenetic trees. Adv. Appl. Math. 27, 733–767 (2001)

    Google Scholar 

  3. Sueli I.R. Costa, Sandra A. Santos, and Joao E. Strapasson. Fisher information distance: a geometrical reading. Discrete Applied Mathematics, 197:59–69, 2015

    Google Scholar 

  4. J. Felsenstein. Inferring phylogenies. Sinauer, 2004

    Google Scholar 

  5. Garba, M. K., Nye, T. M. W., Lueg, J., Huckemann, S. F.: Information geometry for phylogenetic trees. Journal of Mathematical Biology 82(3), 1–39 (2021). https://doi.org/10.1007/s00285-021-01553-x

  6. Maryam K. Garba, Tom M. W. Nye, and Richard J. Boys. Probabilistic distances between trees. Syst. Bio., 67(2):320–327, 2018

    Google Scholar 

  7. T. H. Jukes and C. R. Cantor. Evolution of protein molecules. In Mammalian protein metabolism, pages 21–132. Elsevier, 1969

    Google Scholar 

  8. Lueg, J., Nye, T.M.W., Garba, M.K., Huckemann, S.F.: Phylogenetic wald spaces. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2021, LNCS, vol. 12829, pp. 710–717. Springer, Heidelberg (2021)

    Google Scholar 

  9. Miller, E., Owen, M., Provan, J.S.: Polyhedral computational geometry for averaging metric phylogenetic trees. Adv. Appl. Math. 68, 51–91 (2015)

    Google Scholar 

  10. Rogers, J.S.: On the consistency of maximum likelihood estimation of phylogenetic trees from nucleotide sequences. Syst. Bio. 46(2), 354–357 (1997)

    Google Scholar 

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Correspondence to Tom M. W. Nye .

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Garba, M.K., Nye, T.M.W., Lueg, J., Huckemann, S.F. (2021). Information Metrics for Phylogenetic Trees via Distributions of Discrete and Continuous Characters. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science(), vol 12829. Springer, Cham. https://doi.org/10.1007/978-3-030-80209-7_75

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  • DOI: https://doi.org/10.1007/978-3-030-80209-7_75

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-80208-0

  • Online ISBN: 978-3-030-80209-7

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