Abstract
Word-based or ‘alignment-free’ methods for phylogeny reconstruction are much faster than traditional, alignment-based approaches, but they are generally less accurate. Most alignment-free methods calculate pairwise distances for a set of input sequences, for example from word frequencies, from so-called spaced-word matches or from the average length of common substrings. In this paper, we propose the first word-based phylogeny approach that is based on multiple sequence comparison and Maximum Likelihood. Our algorithm first samples small, gap-free alignments involving four taxa each. For each of these alignments, it then calculates a quartet tree and, finally, the program Quartet MaxCut is used to infer a super tree for the full set of input taxa from the calculated quartet trees. Experimental results show that trees calculated with our approach are of high quality.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Angiuoli, S.V., Salzberg, S.L.: Mugsy: fast multiple alignment of closely related whole genomes. Bioinformatics 27, 334–342 (2011)
Avni, E., Yona, Z., Cohen, R., Snir, S.: The performance of two supertree schemes compared using synthetic and real data quartet input. J. Mol. Evol. 86, 150–165 (2018)
Ayad, L.A., Charalampopoulos, P., Iliopoulos, C.S., Pissis, S.P.: Longest common prefixes with \(k\)-errors and applications. arXiv:1801.04425 [cs.DS] (2018)
Baum, B.: Combining trees as a way of combining data sets for phylogenetic inference. Taxon 41, 3–10 (1992)
Bernard, G., Chan, C.X., Ragan, M.A.: Alignment-free microbial phylogenomics under scenarios of sequence divergence, genome rearrangement and lateral genetic transfer. Sci. Rep. 6, 28970 (2016)
Bininda-Emonds, O.R.P.: Phylogenetic Supertrees: Combining Information to Reveal the Tree of Life. Computational Biology. Springer, Netherlands (2004). https://doi.org/10.1007/978-1-4020-2330-9
Bromberg, R., Grishin, N.V., Otwinowski, Z.: Phylogeny reconstruction with alignment-free method that corrects for horizontal gene transfer. PLoS Comput. Biol. 12, e1004985 (2016)
Cattaneo, G., Ferraro Petrillo, U., Giancarlo, R., Roscigno, G.: An effective extension of the applicability of alignment-free biological sequence comparison algorithms with Hadoop. J. Supercomput. 73, 1467–1483 (2017)
Chiaromonte, F., Yap, V.B., Miller, W.: Scoring pairwise genomic sequence alignments. In: Altman, R.B., Dunker, A.K., Hunter, L., Klein, T.E. (eds.) Pacific Symposium on Biocomputing, Lihue, Hawaii, pp. 115–126 (2002)
Chor, B., Tuller, T.: Maximum likelihood of evolutionary trees is hard. In: Miyano, S., Mesirov, J., Kasif, S., Istrail, S., Pevzner, P.A., Waterman, M. (eds.) RECOMB 2005. LNCS, vol. 3500, pp. 296–310. Springer, Heidelberg (2005). https://doi.org/10.1007/11415770_23
Comin, M., Schimd, M.: Assembly-free genome comparison based on next-generation sequencing reads and variable length patterns. BMC Bioinform. 15, S1 (2014)
Dalquen, D.A., Anisimova, M., Gonnet, G.H., Dessimoz, C.: ALF - a simulation framework for genome evolution. Mol. Biol. Evol. 29, 1115–1123 (2012)
Dencker, T., Leimeister, C.A., Morgenstern, B.: Multi-SpaM: a maximum-likelihood approach to phylogeny reconstruction based on multiple spaced-word matches. arxiv.org/abs/1803.09222 [q-bio.PE] (2018). http://arxiv.org/abs/1703.08792
Farris, J.S.: Methods for computing wagner trees. Syst. Biol. 19, 83–92 (1970)
Felsenstein, J.: Evolutionary trees from DNA sequences:a maximum likelihood approach. J. Mol. Evol. 17, 368–376 (1981)
Felsenstein, J.: PHYLIP - phylogeny inference package (version 3.2). Cladistics 5, 164–166 (1989)
Fitch, W.: Toward defining the course of evolution: minimum change for a specific tree topology. Syst. Zool. 20, 406–416 (1971)
Foulds, L., Graham, R.: The steiner problem in phylogeny is NP-complete. Adv. Appl. Math. 3, 43–49 (1982)
Gerth, M., Bleidorn, C.: Comparative genomics provides a timeframe for Wolbachia evolution and exposes a recent biotin synthesis operon transfer. Nat. Microbiol. 2, 16241 (2016)
Girotto, S., Comin, M., Pizzi, C.: FSH: fast spaced seed hashing exploiting adjacent hashes. Algorithms Mol. Biol. 13, 8 (2018)
Hahn, L., Leimeister, C.A., Ounit, R., Lonardi, S., Morgenstern, B.: rasbhari: optimizing spaced seeds for database searching, read mapping and alignment-free sequence comparison. PLOS Comput. Biol. 12(10), e1005107 (2016)
Hatje, K., Kollmar, M.: A phylogenetic analysis of the brassicales clade based on an alignment-free sequence comparison method. Front. Plant Sci. 3, 192 (2012)
Haubold, B., Klötzl, F., Pfaffelhuber, P.: andi: fast and accurate estimation of evolutionary distances between closely related genomes. Bioinformatics 31, 1169–1175 (2015)
Haubold, B., Pfaffelhuber, P., Domazet-Loso, M., Wiehe, T.: Estimating mutation distances from unaligned genomes. J. Comput. Biol. 16, 1487–1500 (2009)
Horwege, S., et al.: Spaced words and kmacs: fast alignment-free sequence comparison based on inexact word matches. Nucl. Acids Res. 42, W7–W11 (2014)
Ilie, L., Ilie, S., Bigvand, A.M.: SpEED: fast computation of sensitive spaced seeds. Bioinformatics 27, 2433–2434 (2011)
Ilie, S.: Efficient Computation of Spaced Seeds. BMC Res. Notes 5, 123 (2012)
Leimeister, C.A., Boden, M., Horwege, S., Lindner, S., Morgenstern, B.: Fast alignment-free sequence comparison using spaced-word frequencies. Bioinformatics 30, 1991–1999 (2014)
Leimeister, C.A., Morgenstern, B.: kmacs: the \(k\)-mismatch average common substring approach to alignment-free sequence comparison. Bioinformatics 30, 2000–2008 (2014)
Leimeister, C.A., Schellhorn, J., Schöbel, S., Gerth, M., Bleidorn, C., Morgenstern, B.: Prot-SpaM: Fast alignment-free phylogeny reconstruction based on whole-proteome sequences. bioRxiv (2018). https://doi.org/10.1101/306142
Leimeister, C.A., Sohrabi-Jahromi, S., Morgenstern, B.: Fast and accurate phylogeny reconstruction using filtered spaced-word matches. Bioinformatics 33, 971–979 (2017)
Morgenstern, B., Schöbel, S., Leimeister, C.A.: Phylogeny reconstruction based on the length distribution of k-mismatch common substrings. Algorithms Mol. Biol. 12, 27 (2017)
Morgenstern, B., Zhu, B., Horwege, S., Leimeister, C.A.: Estimating evolutionary distances between genomic sequences from spaced-word matches. Algorithms Mol. Biol. 10, 5 (2015)
Newton, R., et al.: Genome characteristics of a generalist marine bacterial lineage. ISME J. 4, 784–798 (2010)
Noé, L.: Best hits of 11110110111: model-free selection and parameter-free sensitivity calculation of spaced seeds. Algorithms Mol. Biol. 12, 1 (2017)
OpenMP Forum: OpenMP C and C++ Application Program Interface, Version 2.0. Technical report (2002). http://www.openmp.org
Ounit, R., Lonardi, S.: Higher classification accuracy of short metagenomic reads by discriminative spaced k-mers. In: Pop, M., Touzet, H. (eds.) WABI 2015. LNCS, vol. 9289, pp. 286–295. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-48221-6_21
Petrillo, U.F., Guerra, C., Pizzi, C.: A new distributed alignment-free approach to compare whole proteomes. Theor. Comput. Sci. 698, 100–112 (2017)
Pizzi, C.: MissMax: alignment-free sequence comparison with mismatches through filtering and heuristics. Algorithms Mol. Biol. 11, 6 (2016)
Ragan, M.: Matrix representation in reconstructing phylogenetic-relationships among the eukaryotes. Biosystems 28, 47–55 (1992)
Ren, J., Bai, X., Lu, Y.Y., Tang, K., Wang, Y., Reinert, G., Sun, F.: Alignment-free sequence analysis and applications. Annu. Rev. Biomed. Data Sci. 1, 93–114 (2018)
Robinson, D.F., Foulds, L.: Comparison of phylogenetic trees. Math. Biosci. 53, 131–147 (1981)
Roychowdhury, T., Vishnoi, A., Bhattacharya, A.: Next-generation anchor based phylogeny (NexABP): constructing phylogeny from next-generation sequencing data. Sci. Rep. 3, 2634 (2013)
Saitou, N., Nei, M.: The neighbor-joining method: a new method for reconstructing phylogenetic trees. Mol. Biol. Evol. 4, 406–425 (1987)
Sievers, F., et al.: Fast, scalable generation of high-quality protein multiple sequence alignments using Clustal Omega. Mol. Syst. Biol. 7, 539 (2011)
Snir, S., Rao, S.: Quartets MaxCut: a divide and conquer quartets algorithm. IEEE/ACM Trans. Comput. Biology Bioinform. 7, 704–718 (2010)
Snir, S., Rao, S.: Quartet MaxCut: a fast algorithm for amalgamating quartet trees. Mol. Phylogenetics Evol. 62, 1–8 (2012)
Song, K., Ren, J., Reinert, G., Deng, M., Waterman, M.S., Sun, F.: New developments of alignment-free sequence comparison: measures, statistics and next-generation sequencing. Brief. Bioinform. 15, 343–353 (2014)
Song, K., Ren, J., Zhai, Z., Liu, X., Deng, M., Sun, F.: Alignment-free sequence comparison based on next-generation sequencing reads. J. Comput. Biol. 20, 64–79 (2013)
Stamatakis, A.: RAxML version 8: a tool for phylogenetic analysis and post-analysis of large phylogenies. Bioinformatics 30, 1312–1313 (2014)
Steel, M.: The complexity of reconstructing trees from qualitative characters and subtress. J. Classif. 9, 91–116 (1992)
Tavaré, S.: Some probabilistic and statistical problems on the analysis of DNA sequences. Lect. Math. Life Sci. 17, 57–86 (1986)
Thankachan, S.V., Apostolico, A., Aluru, S.: A provably efficient algorithm for the \(k\)-mismatch average common substring problem. J. Comput. Biol. 23, 472–482 (2016)
Thankachan, S.V., Chockalingam, S.P., Liu, Y., Aluru, A.K.S.: A greedy alignment-free distance estimator for phylogenetic inference. BMC Bioinform. 18, 238 (2017)
Ulitsky, I., Burstein, D., Tuller, T., Chor, B.: The average common substring approach to phylogenomic reconstruction. J. Comput. Biol. 13, 336–350 (2006)
Yi, H., Jin, L.: Co-phylog: an assembly-free phylogenomic approach for closely related organisms. Nucl. Acids Res. 41, e75 (2013)
Zielezinski, A., Vinga, S., Almeida, J., Karlowski, W.M.: Alignment-free sequence comparison: benefits, applications, and tools. Genome Biol. 18, 186 (2017)
Funding
The project was funded by VW Foundation, project VWZN3157. We acknowledge support by the Open Access Publication Funds of Göttingen University.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Dencker, T., Leimeister, CA., Gerth, M., Bleidorn, C., Snir, S., Morgenstern, B. (2018). Multi-SpaM: A Maximum-Likelihood Approach to Phylogeny Reconstruction Using Multiple Spaced-Word Matches and Quartet Trees. In: Blanchette, M., Ouangraoua, A. (eds) Comparative Genomics. RECOMB-CG 2018. Lecture Notes in Computer Science(), vol 11183. Springer, Cham. https://doi.org/10.1007/978-3-030-00834-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-00834-5_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00833-8
Online ISBN: 978-3-030-00834-5
eBook Packages: Computer ScienceComputer Science (R0)