Abstract
Computational heuristics are the primary methods for reconstruction of phylogenetic trees on large datasets. Most large-scale phylogenetic analyses produce numerous trees that are equivalent for some optimization criteria. Even using the best heuristics, it takes significant amount of time to obtain optimal trees in simulation experiments. When biological data are used, the score of the optimal tree is not known. As a result, the heuristics are either run for a fixed (long) period of time, or until some measure of a lack of improvement is achieved. It is unclear, though, what is a good criterion for measuring this lack of improvement. However, often it is useful to represent the collection of best trees so far in a compact way to allow scientists to monitor the reconstruction progress. Consensus and agreement trees are common such representations. Using existing static algorithms to produce these trees increases an already lengthy computational time substantially. In this paper we present efficient online algorithms for computing strict and majority consensi and the maximum agreement subtree.
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Amir, A., Keselman, D.: Maximum agreement subtree in a set of evolutionary trees - metrics and efficient algorithms. In: Proceedings of the 35th Annual Symposium on Foundations of Computer Science, pp. 758–769 (1994)
Barthélemy, J.P., McMorris, F.R.: The median procedure for n-trees. Journal of Classification 3, 329–334 (1986)
Berbee, M.L.: The phylogeny of plant and animal pathogens in the Ascomycota. Physiological and Molecular Plant Pathology (2001)
Bryant, D.: Building trees, hunting for trees, and comparing trees: Theory and methods in phylogenetic analysis. PhD thesis, University of Canterbury (1997)
Buneman, P.: The recovery of trees from measures of dissimilarity. In: Hodson, F.R., Kendall, D.G., Tautu, P. (eds.) Mathematics in the Archeological and Historical Sciences, pp. 387–395. Edinburgh University Press, Edinburgh (1971)
Bush, R.M., Fitch, W.M., Bender, C.A., Co, N.J.: Positive selection on the H3 hemagglutinin gene of human influenza virus A. Molecular Biology and Evolution 16, 1457–1465 (1999)
Chase, M.W., Soltis, D.E., Olmstead, R.G., Morgan, D., Les, D.H., Mishler, B.D., Duvall, M.R., Price, R.A., Hills, H.G., Qiu, Y.L., Kron, K.A., Rettig, J.H., Conti, E., Palmer, J.D., Manhart, J.R., Sytsma, K.J., Michaels, H.J., Kress, W.J., Karol, K.G., Clark, W.D., Hedren, M., Gaut, B.S., Jansen, R.K., Kim, K.J., Wimpee, C.F., Smith, J.F., Furnier, G.R., Strauss, S.H., Xiang, Q.Y., Plunkett, G.M., Soltis, P.S., Swensen, S.M., Williams, S.E., Gadek, P.A., Quinn, C.J., Eguiarte, L.E., Golenberg, E., Learn Jr., G.H., Graham, S.W., Barrett, S.C.H., Dayanandan, S., Albert, V.A.: Phylogenetics of seed plants: an analysis of nucleotide sequences from the plastid gene rbcL. Annals of the Missouri Botanical Garden 80, 528–580 (1993)
Cole, R., Farach-Colton, M., Hariharan, R., Przytycka, T.M., Thorup, M.: An O(n log n) algorithm for the maximum agreement subtree problem for binary trees. SIAM Journal of Computing 30(5), 1385–1404 (2000)
Day, W.H.E.: Optimal algorithms for comparing trees with labeled leaves. Journal of Classification 2, 7–28 (1985)
Estabrook Jr., G.F., Johnson, C.S., McMorris, F.R.: An algebraic analysis of cladistic characters. Discrete Mathematics 16, 141–147 (1976)
Estabrook, G.F., McMorris, F.R.: When is one estimate of evolutionary history a refinement of another? Mathematical Biology 10, 367–373 (1980)
Farach, M., Przytycka, T., Thorup, M.: On the agreement of many trees. Information. Processing Letters 55, 297–301 (1995)
Finden, C.R., Gordon, A.D.: Obtaining common pruned trees. Journal of Classification 2, 255–276 (1985)
Goddard, W., Kubicka, E., Kubicki, G., McMorris, F.R.: The agreement metric for labelled binary trees. Mathematical Biosciences 123, 215–226 (1994)
Gusfield, D.: Efficient algorithms for inferring evolutionary trees. Networks 21, 12–28 (1991)
Källersjö, M., Farris, J.S., Chase, M.W., Bremer, B., Fay, M.F., Humphries, C.J., Pedersen, G., Seberg, O., Bremer, K.: Simultaneous parsimony jackknife analysis of 2538 rbcl DNA sequences reveals support for major clades of green plants, land plants, seed plants and flowering plants. Plant Systematics and Evolution 213, 259–287 (1998)
Kubicka, E., Kubicki, G., McMorris, F.R.: On agreement subtrees of two binary trees. Congressus Numerantium 88, 217–224 (1992)
Margush, T., McMorris, F.R.: Consensus n-trees. Bulletin of Mathematical Biology 43(2), 239–244 (1981)
McMorris, F.R., Meronik, D.B., Neumann, D.A.: A view of some consensus methods for trees. In: Felsenstein, J. (ed.) Numerical Taxonomy, pp. 122–125. Springer, Heidelberg (1983)
McMorris, F.R.: On the compatibility of binary qualitive taxonomic characters. Bulletin of Mathematical Biology 39, 133–138 (1977)
John, K.S., Amenta, N., Clarke, F.: A linear-time majority tree algorithm. In: Benson, G., Page, R.D.M. (eds.) WABI 2003. LNCS (LNBI), vol. 2812, pp. 216–227. Springer, Heidelberg (2003)
Savolainen, V., Chase, M.W., Hoot, S.B., Morton, C.M., Soltis, D.E., Bayer, C., Fay, M.F., De Bruijn, A.Y., Sullivan, S., Qiu, Y.L.: Phylogenetics of flowering plants based on combined analysis of plastid atpB and rbcL gene sequences. Systematic Biology 49, 306–362 (2000)
Soltis, P.S., Soltis, D.E., Chase, M.W.: Angiosperm phylogeny inferred from multiple genes as a tool for comparative biology. Nature 402, 402–404 (1999)
Steel, M., Warnow, T.: Kaikoura tree theorems: Computing the maximum agreement subtree. Information Processing Letters 48(2), 77–82 (1993)
Amir, A., Keselman, D.: Maximum agreement subtree in a set of evolutionary trees - metrics and efficient algorithms. In: Proceedings of the 35th Annual Symposium on Foundations of Computer Science, pp. 758–769 (1994)
Van de Peer, Y., De Wachter, R.: Evolutionary relationships among the eukaryotic crown taxa taking into account site-to-site rate variation in 18S rRNA. Journal of molecular evolution 45, 619–630 (1997)
Warnow, T.J.: Three compatibility and inferring evolutionary history. Journal of Algorithms 16, 388–407 (1991)
Williams, T.L., Berger-Wolf, T.Y., Moret, B.M.E., Roshan, U., Warnow, T.J.: The relationship between maximum parsimony scores and phylogenetic tree topologies. Technical Report TR-CS-2004-04, University of New Mexico (2004)
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Berger-Wolf, T.Y. (2004). Online Consensus and Agreement of Phylogenetic Trees. In: Jonassen, I., Kim, J. (eds) Algorithms in Bioinformatics. WABI 2004. Lecture Notes in Computer Science(), vol 3240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30219-3_30
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DOI: https://doi.org/10.1007/978-3-540-30219-3_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23018-2
Online ISBN: 978-3-540-30219-3
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