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Determining phylogenetic networks from inter-taxa distances

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Abstract

We consider the problem of determining the topological structure of a phylogenetic network given only information about the path-length distances between taxa. In particular, one of the main results of the paper shows that binary tree-child networks are essentially determined by such information.

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References

  • Aho AV, Sagiv Y, Szymanski TG, Ullman JD (1981) Inferring a tree from lowest common ancestors with an application to the optimization of relational expressions. SIAM J Comput 10:405–421

    Article  MathSciNet  MATH  Google Scholar 

  • Berry V, Bininda-Emonds ORP, Semple C (2013) Amalgamating source trees with different taxonomic levels. Syst Biol 62:231–249

    Article  Google Scholar 

  • Bordewich M, Evans G, Semple C (2006) Extending the limits of supertree methods. Ann Comb 10:31–51

    Article  MathSciNet  MATH  Google Scholar 

  • Cardona G, Rossello F, Valiente G (2009) Comparison of tree-child phylogenetic networks. IEEE/ACM Trans Comput Biol Bioinform 6:552–569

    Article  Google Scholar 

  • Desper R, Gascuel O (2004) Theoretical foundation of the balanced minimum evolution method of phylogenetic inference and its relationship to weighted least-squares tree fitting. Mol Biol Evol 21:587–598

    Article  Google Scholar 

  • Fitch WM, Margoliash E (1967) Construction of phylogenetic trees. Science 155:279–284

    Article  Google Scholar 

  • Gascuel O (1997) BIONJ: an improved version of the NJ algorithm based on a simple model of sequence data. Mol Biol Evol 14:685–695

    Article  Google Scholar 

  • Huber KT, van Iersel L, Kelk S, Suchecki R (2011) A practical algorithm for reconstructing level-1 phylogenetic networks. IEEE/ACM Trans Comput Biol Bioinform 8:635–649

    Article  Google Scholar 

  • Rzhetsky A, Nei M (1993) Theoretical foundation of the minimum-evolution method of phylogenetic inference. Mol Biol Evol 10:1073–1095

    Google Scholar 

  • Saitou N, Nei M (1987) The neighbor joining method: a new method for reconstructing phylogenetic trees. Mol Biol Evol 4:406–425

    Google Scholar 

  • Semple C, Steel M (2003) Phylogenetics. Oxford University Press, Oxford

    MATH  Google Scholar 

  • Sokal RR, Michener CD (1958) A statistical method for evaluating systematic relationships. Univ Kansas Sci Bull 38:1409–1438

    Google Scholar 

  • Willson SJ (2012) Tree-average distances on certain phylogenetic networks have their weights uniquely determined. Algorithms Mol Biol 7:13

    Article  Google Scholar 

  • Willson SJ (2013) Reconstruction of certain phylogenetic networks from their tree-average distances. Bull Math Biol 75:1840–1878

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The authors thank Taoyang Wu for highlighting an oversight in the original statement of Theorem 1.1.

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Correspondence to Charles Semple.

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C. Semple was supported by the Allan Wilson Centre, and the New Zealand Marsden Fund.

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Bordewich, M., Semple, C. Determining phylogenetic networks from inter-taxa distances. J. Math. Biol. 73, 283–303 (2016). https://doi.org/10.1007/s00285-015-0950-8

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  • DOI: https://doi.org/10.1007/s00285-015-0950-8

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