Abstract
Large-scale phylogeny estimation is challenging for many reasons, including heterogeneity across the Tree of Life and the difficulty in finding good solutions to NP-hard optimization problems. One of the promising ways for enabling large-scale phylogeny estimation is through divide-and-conquer: a dataset is divided into overlapping subsets, trees are estimated on the subsets, and then the subset trees are merged together into a tree on the full set of taxa. This last step is achieved through the use of a supertree method, which is popular in systematics for use in combining species trees from the scientific literature. Because most supertree methods are heuristics for NP-hard optimization problems, the use of supertree estimation on large datasets is challenging, both in terms of scalability and accuracy. In this chapter, we describe the current state of the art in supertree construction and the use of supertree methods in divide-and-conquer strategies, and we identify directions where future research could lead to improved supertree methods. Finally, we present a new type of divide-and-conquer strategy that bypasses the need for supertree estimation, in which the division into subsets produces disjoint subsets. Overall, this chapter aims to present directions for research that will potentially lead to new methods to scale phylogeny estimation methods to large datasets.
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References
Agarwala, R., Bafna, V., Farach, M., Paterson, M., Thorup, M.: On the approximability of numerical taxonomy (fitting distances by tree metrics). SIAM J. Comput. 28(3), 1073–1085 (1998)
Ailon, N., Charikar, M.: Fitting tree metrics: hierarchical clustering and phylogeny. SIAM J. Comput. 40(5), 1275–1291 (2011)
Akanni, W., Creevey, C., Wilkinson, M., Pisani, D.: L.U.-St: a tool for approximated maximum likelihood supertree reconstruction. BMC Bioinform. 15, 183 (2014)
Akanni, W., Wilkinson, M., Creevey, C., Foster, P., Pisani, D.: Implementing and testing Bayesian and maximum-likelihood supertree methods in phylogenetics. R. Soc. Open Sci. 2, 140,436 (2015)
Allman, E.S., Degnan, J.H., Rhodes, J.A.: Species tree inference from gene splits by unrooted star methods. IEEE/ACM Trans. Computat. Biol. Bioinform. (TCBB) 15(1), 337–342 (2018)
Alon, N., Snir, S., Yuster, R.: On the compatibility of quartet trees. In: Proceedings of the Twenty-fifth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA ’14, pp. 535–545. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA (2014). http://dl.acm.org/citation.cfm?id=2634074.2634114
Altenhoff, A., Boeckmann, B., Capella-Gutierrez, S., Dalquen, D., et al.: Standardized benchmarking in the quest for orthologs. Nat. Methods 13, 425–430 (2016)
Avni, E., Cohen, R., Snir, S.: Weighted quartets phylogenetics. Syst. Biol. 64(2), 233–242 (2014)
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(2), 150–165 (2018). https://doi.org/10.1007/s00239-018-9833-0
Baker, W.J., Savolainen, V., Asmussen-Lange, C.B., Chase, M.W., Dransfield, J., Forest, F., Harley, M.M., Uhl, N.W., Wilkinson, M.: Complete generic-level phylogenetic analyses of palms (arecaceae) with comparisons of supertree and supermatrix approaches. Syst. Biol. 58(2), 240–256 (2009)
Bansal, M., Burleigh, J., Eulenstein, O., Fernández-Baca, D.: Robinson-Foulds supertrees. Algorithms Mol. Biol. 5, 18 (2010)
Baum, B.: Combining trees as a way of combining data sets for phylogenetic inference, and the desirability of combining gene trees. Taxon 41, 3–10 (1992)
Baum, B., Ragan, M.A.: The MRP method. In: Bininda-Emonds, O.R.P. (ed.) Phylogenetic Supertrees: Combining Information to Reveal The Tree Of Life, pp. 17–34. Kluwer Academic, Dordrecht, The Netherlands (2004)
Bayzid, M., Mirarab, S., Warnow, T.: Inferring optimal species trees under gene duplication and loss. Pac. Symp. Biocomput. 18, 250–261 (2013)
Bayzid, M.S., Hunt, T., Warnow, T.: Disk covering methods improve phylogenomic analyses. BMC Genomics 15(Suppl 6), S7 (2014)
Ben-Dor, A., Chor, B., Graur, D., Ophir, R., Pelleg, D.: Constructing phylogenies from quartets: elucidation of eutherian superordinal relationships. J. Comput. Biol. 5(3), 377–390 (1998)
Berry, V., Bryant, D., Jiang, T., Kearney, P.E., Li, M., Wareham, T., Zhang, H.: A practical algorithm for recovering the best supported edges of an evolutionary tree. In: Proceedings of the SIAM-ACM Symposium on Discrete Algorithms (SODA), pp. 287–296 (2000)
Berry, V., Gascuel, O.: Inferring evolutionary trees with strong combinatorial evidence. Theoret. Comput. Sci. 240(2), 271–298 (2000). https://doi.org/10.1016/S0304-3975(99)00235-2. http://www.sciencedirect.com/science/article/pii/S0304397599002352
Bininda-Emonds, O. (ed.): Phylogenetic Supertrees: Combining Information to Reveal the Tree of Life. Kluwer Academic Publishers, Dordrecht (2004)
Bininda-Emonds, O.R.P.: MRP supertree construction in the consensus setting. In: Bioconsensus. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 61, pp. 231–242. American Mathematical Society-DIMACS, Providence, Rhode Island (2003)
Bininda-Emonds, O.R.P., Gittleman, J.L., Purvis, A.: Building large trees by combining phylogenetic information: a complete phylogeny of the extant Carnivora (Mammalia). Biol. Rev. Camb. Philos. Soc. 74, 143–175 (1999)
Bininda-Emonds, O.R.P., Gittleman, J.L., Steel, M.A.: The (super)tree of life: procedures, problems, and prospects. Annu. Rev. Ecol. Syst. 33, 265–289 (2002)
Böcker, S., Bryant, D., Dress, A.W., Steel, M.A.: Algorithmic aspects of tree amalgamation. J. Algorithms 37(2), 522–537 (2000)
Bordewich, M., Mihaescu, R.: Accuracy guarantees for phylogeny reconstruction algorithms based on balanced minimum evolution. In: Moulton, V.. Singh, M. (eds.) Proceedings of the 2010 Workshop on Algorithms for Bioinformatics, pp. 250–261. Springer, Berlin, Heidelberg (2010)
Brinkmeyer, M., Griebel, T., Böcker, S.: Polynomial supertree methods revisited. Adv. Bioinform. 2011 (2011)
Bryant, D., Steel, M.: Constructing optimal trees from quartets. J. Algorithms 38(1), 237–259 (2001)
Bryant, D., Steel, M.: Computing the distribution of a tree metric. IEEE/ACM Trans. Comput. Biol. Bioinform. 6(3), 420–426 (2009)
Buneman, P.: The recovery of trees from measures of dissimilarity. In: Hodson, F., Kendall, D., Tautu, P. (eds.) Mathematics in the Archaeological and Historical Sciences, pp. 387–395. Edinburgh University Press, Edinburgh, Scotland (1971)
Chaudhary, R.: MulRF: a software package for phylogenetic analysis using multi-copy gene trees. Bioinformatics 31, 432–433 (2015)
Chaudhary, R., Bansal, M.S., Wehe, A., Fernández-Baca, D., Eulenstein, O.: iGTP: a software package for large-scale gene tree parsimony analysis. BMC Bioinform. 11, 574 (2010)
Chaudhary, R., Burleigh, J.G., Fernández-Baca, D.: Fast local search for unrooted Robinson-Foulds supertrees. IEEE/ACM Trans. Comput. Biol. Bioinform. 9, 1004–1013 (2012)
Chen, D., Diao, L., Eulenstein, O., Fernández-Baca, D., Sanderson, M.: Flipping: a supertree construction method. In: Bioconsensus. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, vol. 61, pp. 135–160. American Mathematical Society-DIMACS, Providence, Rhode Island (2003)
Chen, D., Eulenstein, O., Fernández-Baca, D., Burleigh, J.: Improved heuristics for minimum-flip supertree construction. Evol. Bioinform. 2, 401–410 (2006)
Chen, D., Eulenstein, O., Fernández-Baca, D., Sanderson, M.: Minimum-flip supertrees: complexity and algorithms. IEEE/ACM Trans. Comput. Biol. Bioinform. 3, 165–173 (2006)
Chernomor, O., von Haeseler, A., Minh, B.Q.: Terrace aware data structure for phylogenomic inference from supermatrices. Syst. Biol. 65(6), 997–1008 (2016)
Christensen, S., Molloy, E.K., Vachaspati, P., Warnow, T.: OCTAL: Optimal Completion of gene trees in polynomial time. Algorithms Mol. Biol. 13(1), 6 (2018). https://doi.org/10.1186/s13015-018-0124-5
Cotton, J., Wilkinson, M.: Majority rule supertrees. Syst. Biol. 56(3), 445–452 (2007)
Cotton, J., Wilkinson, M.: Supertrees join the mainstream of phylogenetics. Trends Ecol. Evol. 24, 1–3 (2009)
Creevey, C., McInerney, J.: Trees from trees: construction of phylogenetic supertrees using CLANN. In: Bioinformatics for DNA Sequence Analysis, vol. 537, pp. 139–61. Springer, Clifton, NJ (2009)
Criscuolo, A., Berry, V., Douzery, E., Gascuel, O.: SDM: a fast distance-based approach for (super) tree building in phylogenomics. Syst. Biol. 55, 740–755 (2006)
Criscuolo, A., Gascuel, O.: Fast NJ-like algorithms to deal with incomplete distance matrices. BMC Bioinform. 9(166) (2008)
Davies, T., Barraclough, T., Chase, M., Soltis, P., Soltis, D., Savolainen, V.: Darwin’s abominable mystery: insights from a supertree of the angiosperms. Proc. Natl. Acad. Sci. 101, 1904–1909 (2004)
Desper, R., Gascuel, O.: Theoretical foundation of the balanced minimum evolution method of phylogenetic inference and its relationship to weighted least-squares tree fitting. Mol. Biol. Evol. 21(3), 587–598 (2004). http://dx.doi.org/10.1093/molbev/msh049
Dobzhansky, T.: Nothing in biology makes sense except in the light of evolution. Am. Biol. Teacher 35, 125–129 (1973)
Edwards, S.: Is a new and general theory of molecular systematics emerging? Evolution 63(1), 1–19 (2009)
Erdös, P., Steel, M., Székely, L., Warnow, T.: A few logs suffice to build (almost) all trees (I). Random Struct. Algorithms 14, 153–184 (1999)
Erdös, P., Steel, M., Székely, L., Warnow, T.: A few logs suffice to build (almost) all trees (II). Theoret. Comput. Sci. 221, 77–118 (1999)
Fakcharoenphol, J., Rao, S., Talwar, K.: A tight bound on approximating arbitrary metrics by tree metrics. J. Comput. Syst. Sci. 69(3), 485–497 (2004)
Fernández, M.H., Vrba, E.S.: A complete estimate of the phylogenetic relationships in ruminantia: a dated species-level supertree of the extant ruminants. Biol. Rev. 80(2), 269–302 (2005)
Fleischauer, M., Böcker, S.: Collecting reliable clades using the greedy strict consensus merger. PeerJ 4, e2172 (2016)
Fleischauer, M., Böcker, S.: Bad clade deletion supertrees: a fast and accurate supertree algorithm. Mol. Biol. Evol. 34(9), 2408–2421 (2017)
Foulds, L.R., Graham, R.L.: The Steiner problem in phylogeny is NP-complete. Adv. Appl. Math. 3(43–49), 299 (1982)
Gascuel, O.: BIONJ: an improved version of the NJ algorithm based on a simple model of sequence data. Mol. Biol. Evol. 14, 685–695 (1997)
Goloboff, P., Farris, J., Nixon, K.: TNT, a free program for phylogenetic analysis. Cladistics 24, 1–13 (2008)
Gramm, J., Niedermeier, R.: A fixed-parameter algorithm for minimum quartet inconsistency. J. Comput. Syst. Sci. 67(4), 723–741 (2003)
Grappa (genome rearrangements analysis under parsimony and other phylogenetic algorithms). https://www.cs.unm.edu/~moret/GRAPPA/
Grotkopp, E., Rejmánek, M., Sanderson, M.J., Rost, T.L.: Evolution of genome size in pines (pinus) and its life-history correlates: supertree analyses. Evolution 58(8), 1705–1729 (2004)
Guindon, S., Gascuel, O.: A simple, fast, and accurate algorithm to estimate large phylogenies by maximum likelihood. Syst. Biol. 52, 696–704 (2003) (1063-5157 (Print))
Hallett, M., Lagergren, J.: New algorithms for the duplication-loss model. In: Proceedings of the ACM Symposium on Computational Biology RECOMB2000, pp. 138–146. ACM Press, New York (2000)
Hillis, D.M., Huelsenbeck, J.P., Cunningham, C.W.: Application and accuracy of molecular phylogenies. Science 264, 671–677 (1994)
Holland, B., Conner, G., Huber, K., Moulton, V.: Imputing supertrees and supernetworks from quartets. Syst. Biol. 56(1), 57–67 (2007). http://dx.doi.org/10.1080/10635150601167013
Huson, D., Nettles, S., Warnow, T.: Disk-covering, a fast converging method for phylogenetic tree reconstruction. J. Comput. Biol. 6(3), 369–386 (1999)
Huson, D., Vawter, L., Warnow, T.: Solving large scale phylogenetic problems using DCM2. In: Proceedings of 7th International Conference on Intelligent Systems for Molecular Biology (ISMB’99), pp. 118–129. AAAI Press (1999)
Huson, D.H., Vawter, L., Warnow, T.: Solving large scale phylogenetic problems using DCM2. In: Proceedings of the Seventh International Conference on Intelligent Systems for Molecular Biology table of contents, pp. 118–129. AAAI Press (1999)
Janowitz, M., Lapointe, F.J., McMorris, F., Mirkin, B., Roberts, F. (eds.): Bioconsensus: DIMACS Working Group Meetings on Bioconsensus, 25–26 Oct 2000 and 2–5 Oct 2001, DIMACS Center 61. American Mathematical Society (2003)
Jarvis, E., Mirarab, S., Aberer, A.J., Li, B., Houde, P., Li, C., Ho, S., Faircloth, B.C., Nabholz, B., Howard, J.T., Suh, A., Weber, C.C., da Fonseca, R.R., Li, J., Zhang, F., Li, H., Zhou, L., Narula, N., Liu, L., Ganapathy, G., Boussau, B., Bayzid, M.S., Zavidovych, V., Subramanian, S., Gabaldón, T., Capella-Gutiérrez, S., Huerta-Cepas, J., Rekepalli, B., Munch, K., Schierup, M., Lindow, B., Warren, W.C., Ray, D., Green, R.E., Bruford, M.W., Zhan, X., Dixon, A., Li, S., Li, N., Huang, Y., Derryberry, E.P., Bertelsen, M.F., Sheldon, F.H., Brumfield, R.T., Mello, C.V., Lovell, P.V., Wirthlin, M., Schneider, M.P.C., Prosdocimi, F., Samaniego, J.A., Velazquez, A.M.V., Alfaro-Núnez, A., Campos, P.F., Petersen, B., Sicheritz-Ponten, T., Pas, A., Bailey, T., Scofield, P., Bunce, M., Lambert, D.M., Zhou, Q., Perelman, P., Driskell, A.C., Shapiro, B., Xiong, Z., Zeng, Y., Liu, S., Li, Z., Liu, B., Wu, K., Xiao, J., Yinqi, X., Zheng, Q., Zhang, Y., Yang, H., Wang, J., Smeds, L., Rheindt, F.E., Braun, M., Fjeldsa, J., Orlando, L., Barker, F.K., Jonsson, K.A., Johnson, W., Koepfli, K.P., O’Brien, S., Haussler, D., Ryder, O.A., Rahbek, C., Willerslev, E., Graves, G.R., Glenn, T.C., McCormack, J., Burt, D., Ellegren, H., Alstrom, P., Edwards, S.V., Stamatakis, A., Mindell, D.P., Cracraft, J., Braun, E.L., Warnow, T., Jun, W., Gilbert, M.T.P., Zhang, G.: Whole-genome analyses resolve early branches in the tree of life of modern birds. Science 346(6215), 1320–1331 (2014)
Jewett, E., Rosenberg, N.A.: iGLASS: an improvement to the GLASS method for estimating species trees from gene trees. J. Comput. Biol. 19(3), 293–315 (2012)
Jiang, T., Kearney, P., Li, M.: A polynomial-time approximation scheme for inferring evolutionary trees from quartet topologies and its applications. SIAM J. Comput. 30(6), 1924–1961 (2001)
Jones, K.E., Purvis, A., MacLarnon, A., Bininda-Emonds, O.R.P., Simmons, N.B.: A phylogenetic supertree of the bats (Mammalia: Chiroptera). Biol. Rev. Camb. Philos. Soc. 77, 223–259 (2002)
Jonsson, K.A., Fjeldsa, J.: A phylogenetic supertree of oscine passerine birds (Aves: Passeri). Zoologica Scripta 35, 149–186 (2006)
Kettleborough, G., Dicks, J., Roberts, I.N., Huber, K.T.: Reconstructing (super) trees from data sets with missing distances: not all is lost. Mol. Biol. Evol. 32(6), 1628–1642 (2015)
Kupczok, A.: Split-based computation of majority rule supertrees. BMC Evol. Biol. 11, (2011)
Lacey, M., Chang, J.: A signal-to-noise analysis of phylogeny estimation by neighbor-joining: insufficiency of polynomial length sequences. Math. Biosci. 199(2), 188–215 (2006)
Lafond, M., Scornavacca, C.: On the Weighted Quartet Consensus Problem (2016). arXiv:1610.00505
Lapointe, F.J., Cucumel, G.: The average consensus procedure: combination of weighted trees containing identical or overlapping sets of taxa. Syst. Biol. 46(2), 306–312 (1997)
Larget, B., Kotha, S., Dewey, C., Ané, C.: BUCKy: gene tree/species tree reconciliation with the Bayesian concordance analysis. Bioinformatics 26(22), 2910–2911 (2010)
Lechner, M., Hernandez-Rosales, M., Doerr, D., Wieseke, N., Thévenin, A., Stoye, J., Hartmann, R., Prohaska, S., Stadler, P.: Orthology detection combining clustering and synteny for very large datasets. PLoS ONE 9(8), e105,015 (2014). https://doi.org/10.1371/journal.pone.0105015
Lefort, V., Desper, R., Gascuel, O.: FastME 2.0: a comprehensive, accurate, and fast distance-based phylogeny inference program. Mol. Biol. Evol. 32(10), 2798–2800 (2015). https://doi.org/10.1093/molbev/msv150
Liu, K., Linder, C., Warnow, T.: RAxML and FastTree: comparing two methods for large-scale maximum likelihood phylogeny estimation. PLoS ONE 6(11), e27,731 (2012)
Liu, K., Raghavan, S., Nelesen, S., Linder, C.R., Warnow, T.: Rapid and accurate large-scale coestimation of sequence alignments and phylogenetic trees. Science 324(5934), 1561–1564 (2009)
Liu, L., Yu, L.: Estimating species trees from unrooted gene trees. Syst. Biol. 60(5), 661–667 (2011)
Liu, L., Yu, L., Edwards, S.: A maximum pseudo-likelihood approach for estimating species trees under the coalescent model. BMC Evol. Biol. 10, 302 (2010)
Lopez, P., Casane, D., Philippe, H.: Heterotachy, an important process of protein evolution. Mol. Biol. Evol. 19, 1–7 (2002)
Maddison, W.P.: Gene trees in species trees. Syst. Biol. 46, 523–536 (1997)
Martins, L., Mallo, D., Posada, D.: A Bayesian supertree model for genome-wide species tree reconstruction. Syst. Biol. 65, 397–416 (2016)
McMorris, F.: Axioms for consensus functions on undirected phylogenetic trees. Math. Biosci. 74, 17–21 (1985)
Mihaescu, R., Levy, D., Pachter, L.: Why neighbor-joining works. Algorithmica 54(1), 1–24 (2009)
Mirarab, S., Reaz, R., Bayzid, M.S., Zimmermann, T., Swenson, M., Warnow, T.: ASTRAL: Accurate Species TRee ALgorithm. Bioinformatics 30(17), i541–i548 (2014)
Mirarab, S., Warnow, T.: ASTRAL-II: coalescent-based species tree estimation with many hundreds of taxa and thousands of genes. Bioinformatics 31(12), i44–i52 (2015)
Molloy, E.K., Warnow, T.: NJMerge: a generic technique for scaling phylogeny estimation methods and its application to species trees. In: Blanchette, M., Ouangraoua, A. (eds.) Comparative Genomics, pp. 260–276. Springer International Publishing, Cham (2018)
Moret, B.M.E., Wang, L.S., Warnow, T.: New software for computational phylogenetics. IEEE Comput.: Spec. Issue Bioinform. 35(7), 55–64 (2002)
Mossel, E., Roch, S.: Incomplete lineage sorting: consistent phylogeny estimation from multiple loci. IEEE Trans. Comput. Biol. Bioinform. 7(1), 166–171 (2011)
Nelesen, S., Liu, K., Wang, L.S., Linder, C.R., Warnow, T.: DACTAL: divide-and-conquer trees (almost) without alignments. Bioinformatics 28, i274–i282 (2012)
Neves, D., Sobral, J.: Parallel SuperFine—a tool for fast and accurate supertree estimation: features and limitations. Future Gener. Comput. Syst. 67, 441–454 (2017)
Neves, D., Warnow, T., Sobral, J., Pingali, K.: Parallelizing SuperFine. In: 27th Symposium on Applied Computing (ACM-SAC), Bioinformatics, pp. 1361–1367. ACM (2012). https://doi.org/10.1145/2231936.2231992
Neves, D.T., Sobral, J.L.: Parallel SuperFine—a tool for fast and accurate supertree estimation: Features and limitations. Future Gener. Comput. Syst. 67, 441–454 (2017). https://doi.org/10.1016/j.future.2016.04.004. http://www.sciencedirect.com/science/article/pii/S0167739X16300814
Nguyen, L.T., Schmidt, H., von Haeseler, A., Minh, B.: IQ-TREE: a fast and effective stochastic algorithm for estimating maximum-likelihood phylogenies. Mol. Biol. Evol. 32(1), 268–274 (2015). https://doi.org/10.1093/molbev/msu300
Nguyen, N., Mirarab, S., Kumar, K., Warnow, T.: Ultra-large alignments using phylogeny aware profiles. Genome Biol. 16(124) (2015). https://doi.org/10.1186/s13059-015-0688-z. A preliminary version appeared in the Proceedings RECOMB 2015
Nguyen, N., Mirarab, S., Warnow, T.: MRL and SuperFine+MRL: new supertree methods. J. Algorithms Mol. Biol. 7(3) (2012)
Nute, M., Warnow, T.: Scaling statistical multiple sequence alignment to large datasets. BMC Genomics 17(10), 764 (2016). https://doi.org/10.1186/s12864-016-3101-8
de Oliveira Martins, L., Posada, D.: Species tree estimation from genome-wide data with Guenomu. In: Bioinformatics, pp. 461–478. Springer (2017)
Pardi, F., Guillemot, S., Gascuel, O.: Combinatorics of distance-based tree inference. Proc. Natl. Acad. Sci. (USA) 109(41), 16443–16448 (2012)
Piaggio-Talice, R., Burleigh, J.G., Eulenstein, O.: Quartet supertrees. In: Bininda-Emonds, O.R.P. (ed.) Phylogenetic Supertrees: Combining Information to Reveal The Tree of Life, pp. 173–191. Kluwer Academic, Dordrecht, The Netherlands (2004)
Pisani, D.: A genus-level supertree of the Dinosauria. Proc. R. Soc. Lond. B: Biol. Sci. 269, 915–921 (2002)
Pisani, D., Cotton, J.A., McInerney, J.O.: Supertrees disentangle the chimeric origin of eukaryotic genomes. Mol. Biol. Evol. (2007)
Popescu, A.A., Huber, K.T., Paradis, E.: ape 3.0: New tools for distance-based phylogenetics and evolutionary analysis in R. Bioinformatics 28(11), 1536–1537 (2012)
Price, M.N., Dehal, P.S., Arkin, A.P.: FastTree 2—approximately maximum-likelihood trees for large alignments. PLoS ONE 5(3), e9490 (2010)
Ragan, M.A.: Phylogenetic inference based on matrix representation of trees. Mol. Phylogenet. Evol. 1, 53–58 (1992)
Ranwez, V., Berry, V., Criscuolo, A., Fabre, P.H., Guillemot, S., Scornavacca, C., Douzery, E.J.: PhySIC: a veto supertree method with desirable properties. Syst. Biol. 56(5), 798–817 (2007)
Ranwez, V., Criscuolo, A., Douzery, E.J.: SuperTriplets: a triplet-based supertree approach to phylogenomics. Bioinformatics 26(12), i115–i123 (2010)
Ranwez, V., Gascuel, O.: Quartet-based phylogenetic inference: improvements and limits. Mol. Biol. Evol. 18(6), 1103–1116 (2001)
Reaz, R., Bayzid, M., Rahman, M.: Accurate phylogenetic tree reconstruction from quartets: a heuristic approach. PLoS ONE (2014). https://doi.org/10.1371/journal.pone.0104008
Robinson, D., Foulds, L.: Comparison of phylogenetic trees. Math. Biosci. 53, 131–147 (1981)
Roch, S., Steel, M.: Likelihood-based tree reconstruction on a concatenation of aligned sequence data sets can be statistically inconsistent. Theoret. Popul. Biol. 100, 56–62 (2015)
Rodrigo, A.G.: A comment on Baum’s method for combining phylogenetic trees. Taxon 42(3), 631–636 (1993)
Roshan, U., Moret, B.M., Williams, T.L., Warnow, T.: REC-I-DCM3: a fast algorithmic technique for reconstructing large phylogenetic trees. In: Proceedings of 3rd IEEE Computational Systems Bioinformatics Conference CSB ’04, LCBB-CONF-2004-002, pp. 98–109. IEEE Press (2004)
Roshan, U., Moret, B.M.E., Williams, T.L., Warnow, T.: Performance of supertree methods on various dataset decompositions. In: Bininda-Emonds, O.R.P. (ed.) Phylogenetic Supertrees: Combining Information to Reveal The Tree Of Life, pp. 301–328. Kluwer Academic, Dordrecht, The Netherlands (2004)
Saitou, N., Nei, M.: The neighbor-joining method: a new method for reconstructing phylogenetic trees. Mol. Biol. Evol. 4, 406–425 (1987)
Salamin, N., Davies, J.T.: Using supertrees to investigate species richness in grasses and flowering plants. In: Bininda-Emonds, O.R.P. (ed.) Phylogenetic Supertrees: Combining Information to Reveal The Tree Of Life, pp. 461–487. Kluwer Academic, Dordrecht, The Netherlands (2004)
Sanderson, M., McMahon, M., Steel, M.: Phylogenomics with incomplete taxon coverage: the limits to inference. BMC Evol. Biol. 10, 155 (2010)
Sanderson, M.J., McMahon, M.M., Stamatakis, A., Zwickl, D.J., Steel, M.: Impacts of terraces on phylogenetic inference. Syst. Biol. 64(5), 709–726 (2015)
Sanderson, M.J., McMahon, M.M., Steel, M.: Terraces in phylogenetic tree space. Science 333(6041), 448–450 (2011)
Semple, C., Steel, M.: A supertree method for rooted trees. Discrete Appl. Math. 105(1–3), 147–158 (2000). https://doi.org/10.1016/S0166-218X(00)00202-X. http://www.sciencedirect.com/science/article/pii/S0166218X0000202X
Sevillya, G., Frenkel, Z., Snir, S.: Triplet MaxCut: a new toolkit for rooted supertree. Methods Ecol. Evol. 7, 1359–1365 (2016). https://doi.org/10.1111/2041-210X.12606
Shigezumi, T.: Robustness of greedy type minimum evolution algorithms. In: Proceedings of International Conference on Computational Science, pp. 815–821. Springer (2006)
Sjölander, K., Datta, R., Shen, Y., Shoffner, G.: Ortholog identification in the presence of domain architecture rearrangement. Brief. Bioinform. 12(5), 413–422 (2011). https://doi.org/10.1093/bib/bbr036. http://bib.oxfordjournals.org/content/12/5/413.abstract
Snir, S., Rao, S.: Using max cut to enhance rooted trees consistency. IEEE/ACM Trans. Comput. Biol. Bioinform. 323–333 (2006)
Snir, S., Rao, S.: Quartets MaxCut: a divide and conquer quartets algorithm. IEEE/ACM Trans. Comput. Biol. Bioinform. 7(4), 704–718 (2010)
Stamatakis, A.: RAxML-VI-HPC: maximum likelihood-based phylogenetic analyses with thousands of taxa and mixed models. Bioinformatics 22, 2688–2690 (2006)
Steel, M.: The complexity of reconstructing trees from qualitative characters and subtrees. J. Classif. 9, 91–116 (1992)
Steel, M., Gascuel, O.: Neighbor-joining revealed. Mol. Biol. Evol. 23(11), 1997–2000 (2006)
Steel, M., Rodrigo, A.: Maximum likelihood supertrees. Syst. Biol. 57(2), 243–250 (2008)
Strimmer, K., von Haeseler, A.: Quartet puzzling: a quartet maximim-likelihood method for reconstructing tree topologies. Mol. Biol. Evol. 13(7), 964–969 (1996)
Swenson, M., Suri, R., Linder, C., Warnow, T.: An experimental study of Quartets MaxCut and other supertree methods. Algorithms Mol. Biol. 6, 7 (2011). PMID: 21504600
Swenson, M., Suri, R., Linder, C., Warnow, T.: SuperFine: fast and accurate supertree estimation. Syst. Biol. 61(2), 214–227 (2012)
Swofford, dD.: PAUP*: Phylogenetic Analysis Using Parsimony (*d and Other Methods) Ver. 4. Sinauer Associated, Sunderland, Massachusetts (2002)
Szöllősi, G., Rosikiewicz, W., Boussau, B., Tannier, E., Daubin, V.: Efficient exploration of the space of reconciled gene trees. Syst. Biol. (2013). https://doi.org/10.1093/sysbio/syt054. http://sysbio.oxfordjournals.org/content/early/2013/08/06/sysbio.syt054.abstract
Szöllősi, G.J., Boussau, B., Abby, S.S., Tannier, E., Daubin, V.: Phylogenetic modeling of lateral gene transfer reconstructs the pattern and relative timing of speciations. Proc. Natl. Acad. Sci. 109(43), 17513–17518 (2012). https://doi.org/10.1073/pnas.1202997109
Tang, J., Moret, B.: Scaling up accurate phylogenetic reconstruction from gene-order data. Bioinformatics 19 (Suppl. 1), i305–i312 (2003). Proceedings of 11th International Conference on Intelligent Systems for Molecular Biology ISMB’03
Than, C., Nakhleh, L.: Species tree inference by minimizing deep coalescences. PLoS Comput. Biol. 5, 31000,501 (2009)
Thorley, J., Wilkinson, M.: A view of supertree methods. DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 61, 185–194 (2003)
Vachaspati, P., Warnow, T.: ASTRID: accurate species TRees from internode distances. BMC Genomics 16(Suppl 10), S3 (2015)
Vachaspati, P., Warnow, T.: FastRFS: fast and accurate Robinson-Foulds Supertrees using constrained exact optimization. Bioinformatics (2016). https://doi.org/10.1093/bioinformatics/btw600
Vachaspati, P., Warnow, T.: SIESTA: Enhancing searches for optimal supertrees and species trees. BMC Genomics (2018) (to appear)
Vachaspati, P., Warnow, T.: SVDquest: Improving SVDquartets species tree estimation using exact optimization within a constrained search space. Mol. Phylogenet. Evol. 124, 122–136 (2018). https://doi.org/10.1016/j.ympev.2018.03.006. http://www.sciencedirect.com/science/article/pii/S105579031730338X
Wang, L.S., Leebens-Mack, J., Wall, P.K., Beckmann, K., DePamphilis, C.W., Warnow, T.: The impact of multiple protein sequence alignment on phylogenetic estimation. IEEE/ACM Trans. Comput. Biol. Bioinform. 8, 1108–1119 (2011)
Warnow, T.: Computational Phylogenetics: An Introduction to Designing Methods for Phylogeny Estimation. Cambridge University Press, Cambridge UK (2018)
Warnow, T., Moret, B.M.E., St. John, K.: Absolute convergence: true trees from short sequences. In: Proceedings of ACM-SIAM Symposium on Discrete Algorithms (SODA 01), pp. 186–195. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA (2001)
Waterman, M., Smith, T., Beyer, W.: Some biological sequence metrics. Adv. Math. 20, 367–387 (1976)
Waterman, M., Smith, T., Singh, M., Beyer, W.: Additive evolutionary trees. J. Theoret. Biol. 64, 199–213 (1977)
Wehe, A., Bansal, M., Burleigh, J., Eulenstein, O.: DupTree: a program for large-scale phylogenetic analyses using gene tree parsimony. Bioinformatics 24(13), 1540–1541 (2008). https://doi.org/10.1093/bioinformatics/btn230. http://bioinformatics.oxfordjournals.org/content/24/13/1540.abstract
Wheeler, T.: Large-scale neighbor-joining with NINJA. In: Proceedings of Workshop Algorithms in Bioinformatics (WABI), vol. 5724, pp. 375–389 (2009)
Wickett, N., Mirarab, S., Nguyen, N., Warnow, T., Carpenter, E., Matasci, N., Ayyampalayam, S., Barker, M., Burleigh, J., Gitzendanner, M., Ruhfel, B.R., Wafula, E., Der, J.P., Graham, S.W., Mathews, S., Melkonian, M., Soltis, D.E., Soltis, P.S., Miles, N.W., Rothfels, C.J., Pokorny, L., Shaw, A.J., DeGironimo, L., Stevenson, D.W., Surek, B., Villarreal, J.C., Roure, B., Philippe, H., dePamphilis, C.W., Chen, T., Deyholos, M.K., Baucom, R.S., Kutchan, T.M., Augustin, M.M., Wang, J., Zhang, Y., Tian, Z., Yan, Z., Wu, X., Sun, X., Wong, G.K.S., Leebens-Mack, J.: Phylotranscriptomic analysis of the origin and early diversification of land plants. Proc. Natl. Acad. Sci. 111(45), E4859–E4868 (2014)
Wilkinson, M., Cotton, J.A., Lapointe, F.J., Pisani, D.: Properties of supertree methods in the consensus setting. Syst. Biol. 56(2), 330–337 (2007). https://doi.org/10.1080/10635150701245370
Willson, S.: Constructing rooted supertrees using distances. Bull. Math. Biol. 66(6), 1755–1783 (2004)
Xin, L., Ma, B., Zhang, K.: A new quartet approach for reconstructing phylogenetic trees: quartet joining method. In: Proceedings. Computing and Combinatorics (COCOON) 2007, Lecture Notes in Computer Science, vol. 4598, pp. 40–50. Springer, Berlin, Heidelberg (2007)
Yu, Y., Warnow, T., Nakhleh, L.: Algorithms for MDC-based multi-locus phylogeny inference: beyond rooted binary gene trees on single alleles. J. Comput. Biol. 18, 1543–1559 (2011). https://doi.org/10.1089/cmb.2011.0174
Zhang, C., Sayyari, E., Mirarab, S.: ASTRAL-III: increased scalability and impacts of contracting low support branches. In: Meidanis, J., Nakhleh, L. (eds.) Comparative Genomics, pp. 53–75. Springer International Publishing, Cham (2017)
Zhang, Q., Rao, S., Warnow, T.: New absolute fast converging phylogeny estimation methods with improved scalability and accuracy. In: Parida, L., Ukkonen, E. (eds.) 18th International Workshop on Algorithms in Bioinformatics (WABI 2018), pp. 8:1–8:12. LIPICS, Dagsttuhl (2018)
Acknowledgements
The author wishes to thank Pranjal Vachaspati for careful and thoughtful comments on the manuscript. We also thank the anonymous reviewers whose comments were helpful in improving the manuscript. This paper was supported in part by NSF grant CCF-1535977, but much of the work described in this book chapter was done while the author was part of the CIPRES (www.phylo.org) project, an NSF-funded multi-institutional grant that was initially led by Bernard Moret and then subsequently by the author. The first divide-and-conquer methods (DCM-NJ, DACTAL, etc.) were developed with CIPRES support, as were the supertree methods SuperFine and the Strict Consensus Merger that enabled those divide-and-conquer methods to have good performance.
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Warnow, T. (2019). Divide-and-Conquer Tree Estimation: Opportunities and Challenges. In: Warnow, T. (eds) Bioinformatics and Phylogenetics. Computational Biology, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-030-10837-3_6
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