UC SPARK - University of Canterbury - New Zealand

Distinguished Professor Mike Steel

Mathematics and Statistics

Fields of Research

  • Algorithms
  • Bioinformatics
  • Combinatorics
  • Discrete and stochastic models
  • Mathematical biology
  • Probability theory
  • Theoretical biology and evolutionary genetics

Researcher Summary

Research interests are applications of discrete mathematics (combinatorics, graph theory) and probability theory to contemporary problems in biology.

Subject Area: Disciplines

Research Groups

Affiliations

Research/Scholarly/Creative Works

  • Casanellas M. and Steel M. (2017) Phylogenetic mixtures and linear invariants for equal input models. Journal of Mathematical Biology 74(5): 1107-1138. http://dx.doi.org/10.1007/s00285-016-1055-8. (Journal Article)
  • Huson DH., Steel M., El-Hadidi M., Mitra S., Peter S. and Willmann M. (2017) A simple statistical test of taxonomic or functional homogeneity using replicated microbiome sequencing samples. Journal of Biotechnology 250: 45-50. http://dx.doi.org/10.1016/j.jbiotec.2016.10.020. (Journal Article)
  • Matschiner M., Musilová Z., Barth JMI., Starostová Z., Salzburger W., Steel M. and Bouckaert R. (2017) Bayesian Phylogenetic Estimation of Clade Ages Supports Trans-Atlantic Dispersal of Cichlid Fishes.. Systematic Biology 66(1): 3-22. http://dx.doi.org/10.1093/sysbio/syx005. (Journal Article)
  • De Jong JV., McLeod JC. and Steel M. (2016) Neighborhoods of phylogenetic trees: Exact and asymptotic counts. SIAM Journal on Discrete Mathematics 30(4): 2265-2287. http://dx.doi.org/10.1137/15M1035070. (Journal Article)
  • Hordijk W. and Steel M. (2016) Autocatalytic sets in polymer networks with variable catalysis distributions. Journal of Mathematical Chemistry 54(10): 1997-2021. http://dx.doi.org/10.1007/s10910-016-0666-z. (Journal Article)
  • Huber KT., Moulton V., Steel M. and Wu T. (2016) Folding and unfolding phylogenetic trees and networks. Journal of Mathematical Biology 73(6-7): 1761-1780. http://dx.doi.org/10.1007/s00285-016-0993-5. (Journal Article)
  • Mark S., McLeod JC. and Steel M. (2016) A navigation system for tree space. Journal of Graph Algorithms and Applications 20(2): 247-268. http://dx.doi.org/10.7155/jgaa.00392. (Journal Article)
  • Matschiner M., Musilová Z., Barth JMI., Starostová Z., Salzburger W., Steel M. and Bouckaert R. (2016) Bayesian phylogenetic estimation of clade ages supports trans-Atlantic dispersal of cichlid fishes. Systematic Biology (Journal Article)
  • Steel M. (2016) Autocatalytic sets and models of early life. Oxford University: Statistics Department seminar. (Oral Presentation)
  • Steel M. (2016) Autocatalytic sets and models of early life. University of British Colombia (Kelowna campus), Canada: (invited seminar talk). (Oral Presentation)
  • Steel M. (2016) Darwin's regret: what maths tells us about the evolution of life. Konrad Lorenz Institute, Vienna, Austria: (invited talk). (Oral Presentation)
  • Steel M. (2016) Formal power series and combinatorial methods in phylogenetics. Simon Fraser University, Vancouver, Canada: FPSAC (International Conference on Formal Power Series and Algebraic Combinatorics), 4-8 Jul 2016 (Conference Contribution - Other)
  • Steel M. (2016) Murphy's law in phylogenetics and beyond. Austin, Texas, USA: Evolution 2016, 17-21 Jun 2016 (Conference Contribution - Other)
  • Steel M. (2016) Phylogeny Discrete and Random Processes in Evolution. SIAM. 293. (Authored Book)
  • Bernstein DI., Ho LST., Long C., Steel M., St John K. and Sullivant S. (2015) BOUNDS ON THE EXPECTED SIZE OF THE MAXIMUM AGREEMENT SUBTREE. SIAM Journal on Discrete Mathematics 29(4): 2065-2074. http://dx.doi.org/10.1137/140997750. (Journal Article)
  • Francis AR. and Steel M. (2015) Tree-like reticulation networks-When do tree-like distances also support reticulate evolution? Mathematical Biosciences 259: 12-19. http://dx.doi.org/10.1016/j.mbs.2014.10.008. (Journal Article)
  • Hagen O., Hartmann K., Steel M. and Stadler T. (2015) Age-Dependent Speciation Can Explain the Shape of Empirical Phylogenies. Systematic Biology 64(3): 432-440. http://dx.doi.org/10.1093/sysbio/syv001. (Journal Article)
  • McTavish EJ., Steel M. and Holder MT. (2015) Twisted trees and inconsistency of tree estimation when gaps are treated as missing data - The impact of model mis-specification in distance corrections. Molecular Phylogenetics and Evolution 93: 289-295. http://dx.doi.org/10.1016/j.ympev.2015.07.027. (Journal Article)
  • Molitor D., Steel M. and Taylor A. (2015) The structure of symmetric n-player games when influence and independence collide. Advances in Applied Mathematics 62: 15-40. http://dx.doi.org/10.1016/j.aam.2014.09.001. (Journal Article)
  • Roch S. and Steel M. (2015) Likelihood-based tree reconstruction on a concatenation of aligned sequence data sets can be statistically inconsistent. Theoretical Population Biology 100: 56-62. http://dx.doi.org/10.1016/j.tpb.2014.12.005. (Journal Article)
  • Sanderson MJ., Mcmahon MM., Stamatakis A., Zwickl DJ. and Steel M. (2015) Impacts of Terraces on Phylogenetic Inference. Systematic Biology 64(5): 709-726. http://dx.doi.org/10.1093/sysbio/syv024. (Journal Article)
  • Scotland RW. and Steel M. (2015) Circumstances in Which Parsimony but not Compatibility will be Provably Misleading. Systematic Biology 64(3): 492-504. http://dx.doi.org/10.1093/sysbio/syv008. (Journal Article)
  • Dress AWM., Huber KT. and Steel M. (2014) A matroid associated with a phylogenetic tree. Discrete Mathematics & Theoretical Computer Science 16(2): 41-55. (Journal Article)
  • Gascuel O. and Steel M. (2014) Predicting the Ancestral Character Changes in a Tree is Typically Easier than Predicting the Root State. Systematic Biology 63(3): 421-435. http://dx.doi.org/10.1093/sysbio/syu010. (Journal Article)
  • Hordijk W., Wills PR. and Steel M. (2014) Autocatalytic sets and biological specificity. Bulletin of Mathematical Biology 76(1): 201-224. (Journal Article)
  • Huber KT. and Steel M. (2014) Reconstructing fully-resolved trees from triplet cover distances. The Electronic Journal of Combinatorics 21(2) ARTN P2.15 (Journal Article)
  • Mossel E. and Steel M. (2014) Majority rule has transition ratio 4 on Yule trees under a 2-state symmetric model. Journal of Theoretical Biology 360: 315-318. http://dx.doi.org/10.1016/j.jtbi.2014.07.029. [Print-Electronic]. (Other)
  • Sober E. and Steel M. (2014) Time and Knowability in Evolutionary Processes. Philosophy of Science 81(4): 558-579. (Journal Article)
  • Steel M. (2014) Tractable models for some discrete random processes arising in evolutionary biology. UCB Mathematics, UC Berkeley, CA, USA. (Oral Presentation)
  • Steel M. (2014) Tractable models for some discrete random processes arising in evolutionary biology. University of Wisconsin-Madison, WI, USA. (Oral Presentation)
  • Steel M. (2014) Autocatalytic Sets and Models of Early Life. Simons Institute, Berkeley, CA, USA: Computational Theories of Evolution Workshop, 17-21 Mar 2014 (Conference Contribution - Other)
  • Steel M. (2014) Character data. Convexity, homoplasy-free evolution and 'perfect phylogeny' for binary and non-binary data. The 4-character result. Maximum parsimony. Links between parsimony score and TBR distance (Bryant), and the 2-character solution to the maximum parsimony problem. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Distance-based tree reconstruction, the 4-point condition, neighbor joining. Paulin's formula and cyclic permutations, balanced minimum evolution (BME). Phylogenetic diversity and the greedy algorithm. Rock Hill, SC, USA: NSF/CMBS Conference on Mathematical Phylogeny, 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Introduction to phylogenetics: brief historical overview, and some of the ways in which mathematics can help biologists address fundamental questions. Definition of rooted vs unrooted phylogenetic trees, and their enumeration. Tree shape (and discrete models). Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Locating an evolutionary tree when genes are transferred or absent. Berkeley, CA, USA: Evolutionary Biology Seminar, 13 Jan 2014 (Conference Contribution - Other)
  • Steel M. (2014) Phylogenetic networks: Networks that represent uncertainty (implicit) vs explicit reticulate evolution (hybrid species, lateral gene transfer, recombination/re-assortment). Embedded trees, softwired and hardwired clusters. Types of networks (pedigree, haplotype, median, level-1). Properties of normal and regular networks. NeighborNet. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Properties of trees: Tree rearrangement operations (NNI, SPR,TBR). Trees as hierarchies and split systems. Strict, majority and Adams consensus. The Robinson-Foulds metric. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Stochastic model II: speciation and extinction; birth-death models, cases that fit a coalescent point process and/or uniform ranked tree distribution (Lambert et al). Edge lengths and predicting phylogenetic diversity loss. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Stochastic models I: Site substitution models, the 'Felsenstein zone', non-stationarity, maximum likelihood and Bayesian methods. Identifiability issues and phylogenetic mixture models. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Stochastic models III: Kingman's coalescent, the multispecies coalescent and lineage sorting. Consistent reconstruction of species trees from conflicting gene trees (Rosenberg et al). Models of genome evolution and lateral gene transfer. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) Subtree-based tree reconstruction, quartet (and rooted triplet) encoding. The Aho algorithm, supertree methods (Majority (+), MRP, R*). Arrow-type results. Phylogenetic decisiveness (of topology and branch lengths) under patchy taxon coverage. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS), 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) The current state of the art, unsolved questions, new approaches, and future challenges. Rock Hill, SC, USA: National Science Foundation/ Conference Board of the Mathematical Sciences Conference on Mathematical Phylogeny (NSF/CMBS, 28 Jun-2 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) What can the 'shape' of phylogenetic trees tell us about speciation and extinction in the past, and future biodiversity. Greifswald, Germany: Greifswald Phylogenetics Meeting 2014, 14-16 Jul 2014 (Conference Contribution - Other)
  • Steel M. (2014) What can we reconstruct from the past? Montpellier, France: Mathematical and Computational Evolutionary Biology 2014, 15-19 Jun 2014 (Conference Contribution - Other)
  • Steel M. and Velasco J. (2014) Axiomatic opportunities and obstacles for inferring a species tree from gene tree. Syst. Biol. 63(5): 772-778. http://dx.doi.org/10.1093/sysbio/syu043. (Journal Article)
  • Steel M. and Velasco JD. (2014) Axiomatic Opportunities and Obstacles for Inferring a Species Tree from Gene Trees. Systematic Biology 63(5): 772-778. http://dx.doi.org/10.1093/sysbio/syu043. (Journal Article)
  • Bapteste E., van Iersel L., Janke A., Kelchner S., Kelk S., McInerney JO., Morrison DA., Nakhleh L., Steel M. and Stougie L. (2013) Networks: expanding evolutionary thinking. Trends in Genetics 29(8): 439-441. http://dx.doi.org/10.1016/j.tig.2013.05.007. (Journal Article)
  • Becker M., Gruenheit N., Steel M., Voelckel C., Deusch O., Heenan PB., McLenachan PA., Kardailsky O., Leigh JW. and Lockhart PJ. (2013) Hybridization may facilitate in situ survival of endemic species through periods of climate change. Nature Climate Change 3(12): 1039-1043. http://dx.doi.org/10.1038/nclimate2027. (Journal Article)
  • Hordijk W. and Steel M. (2013) A formal model of autocatalytic sets emerging in an RNA replicator system. Journal of Systems Chemistry 4(3): 1-9. http://dx.doi.org/10.1186/1759-2208-4-3. (Journal Article)
  • Hordijk W., Steel M. and Kauffman S. (2013) The origin of life, evolution, and functional organization. Evolutionary Biology: Exobiology and Evolutionary Mechanisms: 49-60. http://dx.doi.org/10.1007/978-3-642-38212-3_4. (Chapter)
  • Lambert A. and Steel M. (2013) Predicting the loss of phylogenetic diversity under non-stationary diversification models. Journal of Theoretical Biology 337: 111-124. http://dx.doi.org/10.1016/j.jtbi.2013.08.009. (Journal Article)
  • Radel D., Sand A. and Steel M. (2013) Hide and seek: Placing and finding an optimal tree for thousands of homoplasy-rich sequences. Molecular Phylogenetics and Evolution 69(3): 1186-1189. http://dx.doi.org/10.1016/j.ympev.2013.08.001. (Journal Article)
  • Sand A. and Steel M. (2013) The standard lateral gene transfer model is statistically consistent for pectinate four-taxon trees. Journal of Theoretical Biology 335: 295-298. http://dx.doi.org/10.1016/j.jtbi.2013.07.002. (Journal Article)
  • Sober E. and Steel M. (2013) Screening-Off and Causal Incompleteness: A No-Go Theorem. British Journal for the Philosophy of Science 64(3): 513-550. http://dx.doi.org/10.1093/bjps/axs021. (Journal Article)
  • Steel M. (2013) Ancestral reconstruction, lateral gene transfer and joys of leaping between trees. Evolutionary Networks: Organisms, Reactions, Molecules (E-Norm), Heinrich Heine Universität Düsseldo. (Oral Presentation)
  • Steel M. (2013) Ancestral reconstruction, lateral gene transfer, and the joys of leaping between trees. Center for Interdisciplinary Research in Biology, Collège de France, Paris, France. (Oral Presentation)
  • Steel M. (2013) Lateral gene transfer, and the joys of leaping between trees. Snowbird, UT, USA: Evolution 2013, 21-26 Jun 2013 (Conference Contribution - Other)
  • Steel M. (2013) Predicting the loss of phylogenetic diversity under simple and more complex extinction models. Centre de recherches mathématiques (CRM), Université de Montréal, Montréal, Canada: Mathematics for an Evolving Biodiversity, 16-20 Sep 2013 (Conference Contribution - Other)
  • Steel M. (2013) When data are in conflict I. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany: Summer School on Phylogenetic Combinatorics, 28-30 Aug 2013 (Conference Contribution - Other)
  • Steel M., Linz S., Huson DH. and Sanderson MJ. (2013) Identifying a species tree subject to random lateral gene transfer. Journal of Theoretical Biology 322: 81-93. http://dx.doi.org/10.1016/j.jtbi.2013.01.009. (Journal Article)
  • Dress AWM., Huber KT. and Steel M. (2012) 'Lassoing' a phylogenetic tree I: basic properties, shellings, and covers. Journal of Mathematical Biology 65(1): 77-105. http://dx.doi.org/10.1007/s00285-011-0450-4. (Journal Article)
  • Faller B. and Steel M. (2012) TRAIT-DEPENDENT EXTINCTION LEADS TO GREATER EXPECTED BIODIVERSITY LOSS. SIAM Journal on Discrete Mathematics 26(2): 472-481. http://dx.doi.org/10.1137/090776743. (Journal Article)
  • Hordijk W. and Steel M. (2012) Autocatalytic sets extended: Dynamics, inhibition, and a generalization. Journal of Systems Chemistry 3(1) http://dx.doi.org/10.1186/1759-2208-3-5. (Journal Article)
  • Hordijk W. and Steel M. (2012) Predicting template-based catalysis rates in a simple catalytic reaction model. Journal of Theoretical Biology 295: 132-138. http://dx.doi.org/10.1016/j.jtbi.2011.11.024. (Journal Article)
  • Hordijk W., Steel M. and Kauffman S. (2012) The Structure of Autocatalytic Sets: Evolvability, Enablement, and Emergence. Acta Biotheoretica 60(4): 379-392. http://dx.doi.org/10.1007/s10441-012-9165-1. (Journal Article)
  • Martyn I. and Steel M. (2012) The impact and interplay of long and short branches on phylogenetic information content. Journal of Theoretical Biology 314: 157-163. http://dx.doi.org/10.1016/j.jtbi.2012.08.040. (Journal Article)
  • Mooers A., Gascuel O., Stadler T., Li H. and Steel M. (2012) Branch lengths on Yule trees and the expected loss of phylogenetic diversity. Systematic Biology 61(2): 195-203. http://dx.doi.org/10.1093/sysbio/syr090. (Journal Article)
  • Moulton V. and Steel M. (2012) The 'Butterfly effect' in Cayley graphs with applications to genomics. Journal of Mathematical Biology 65(6-7): 1267-1284. http://dx.doi.org/10.1007/s00285-011-0498-1. (Journal Article)
  • Nelson-Sathi S., Dagan T., Landan G., Janssen A., Steel M., McInerney JO., Deppenmeier U. and Martin WF. (2012) Acquisition of 1,000 eubacterial genes physiologically transformed a methanogen at the origin of Haloarchaea. Proceedings of the National Academy of Sciences 109(50): 20537-20542. http://dx.doi.org/10.1073/pnas.1209119109. (Journal Article)
  • Soubrier J., Steel M., Lee MSY., Der Sarkissian C., Guindon S., Ho SYW. and Cooper A. (2012) The influence of rate heterogeneity among sites on the time dependence of molecular rates. Molecular Biology and Evolution 29(11): 3345-3358. http://dx.doi.org/10.1093/molbev/mss140. (Journal Article)
  • Stadler T. and Steel M. (2012) Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models. Journal of Theoretical Biology 297: 33-40. http://dx.doi.org/10.1016/j.jtbi.2011.11.019. (Journal Article)
  • Steel M. (2012) Lassoing' a tree: Phylogenetic theory for sparse patterns of taxon coverage. Fakultät für Mathematik, Universität Bielefeld, Germany. (Oral Presentation)
  • Steel M. (2012) What can probability theory tell us about life's past - and future? Mathematisches Institut der Universität zu Köln, Germany. (Oral Presentation)
  • Steel M. (2012) Peculiar properties of Penny's 'pully principle'. Kaikoura, New Zealand: The 16th Annual New Zealand Phylogenetics Meeting - South 2012, 29 Jan-3 Feb 2012 (Conference Contribution - Other)
  • Steel M. (2012) Probabilistic models of evolutionary trees. Montpellier, France: Mathematical and Computational Evolutionary Biology (MCEB), 18-22 Jun 2012 (Conference Contribution - Other)
  • Steel M. (2012) Quantifying phylogenetic signal. Dublin, Ireland: Annual Meeting of the Society for Molecular Biology 2012 (SMBE), 23-26 Jun 2012 (Conference Contribution - Other)
  • Steel M. (2012) Root location in random trees: A polarity property of all sampling consistent phylogenetic models except one. Molecular Phylogenetics and Evolution 65(1): 345-348. http://dx.doi.org/10.1016/j.ympev.2012.06.022. (Journal Article)
  • Steel M. (2012) Statistical issues in phylogenetic network models. Lorentz Center, Leiden, Netherlands: The Future of Phylogenetic Networks, 15-19 Oct 2012 (Conference Contribution - Other)
  • Steel M. (2012) What can the 'shape' of phylogenetic trees tell us about the processes of macro-evolution? Center for Interdisciplinary Research in Biology, Collège de France, Paris, France: phylosmile2012, 22-23 Oct 2012 (Conference Contribution - Other)
  • Steel M., Mooers A., Gascuel O., Stadler T. and Li H. (2012) Branch lengths on Yule trees and the expected loss of phylogenetic diversity. Systematic Biology 61(2): 195-203. | http://dx.doi.org/10.1093/sysbio/syr090. (Journal Article)
  • (2011) Erratum: Can we avoid "SIN" in the house of "no common mechanism"? (Systematic Biology (2010) 60 (96-109)). Systematic Biology 60(3): 392-392. http://dx.doi.org/10.1093/sysbio/syr043. (Journal Article)
  • Holder MT. and Steel M. (2011) Estimating phylogenetic trees from pairwise likelihoods and posterior probabilities of substitution counts. Journal of Theoretical Biology 280(1): 159-166. http://dx.doi.org/10.1016/j.jtbi.2011.04.005. (Journal Article)
  • Hordijk W., Kauffman SA. and Steel M. (2011) Required Levels of Catalysis for Emergence of Autocatalytic Sets in Models of Chemical Reaction Systems. International Journal of Molecular Sciences 12(5): 3085-3101. http://dx.doi.org/10.3390/ijms12053085. (Journal Article)
  • Steel M. (2011) "Lassoing" a tree: Phylogenetic theory for sparse patterns of taxon coverage. The IRMACS Centre, Simon Fraser University, Burnaby, Canada. (Oral Presentation)
  • Steel M. (2011) What can probability theory tell us about life's past - and future? Bielefeld University, Bielefeld, Germany. (Oral Presentation)
  • Steel M. (2011) Can maths help us glimpse the future? NZ Science Teacher 126: 6-7. [Magazine Article]. (Other)
  • Steel M. (2011) Can We Avoid "SIN" in the House of "No Common Mechanism"? (Conference Contribution - Other)
  • Steel M. (2011) Lassoing' a tree: Phylogenetic theory for sparse patterns of taxon coverage. University of Tasmania, Hobart, Australia: The UTas Theoretical Phylogenetics Meeting (Phylomania 2011), 10-11 Nov 2011 (Conference Contribution - Other)
  • Steel M. (2011) What can probability theory tell us about life’s past - and future? University of Tübingen, Tübingen, Germany: Colloquium "Bioinformatics in Tübingen", 10-10 Jun 2011 (Conference Contribution - Other)
  • Zhu S., Degnan JH. and Steel M. (2011) Clades, clans, and reciprocal monophyly under neutral evolutionary models. Theoretical Population Biology 79(4): 220-227. http://dx.doi.org/10.1016/j.tpb.2011.03.002. (Journal Article)
  • Dress A., Moulton V., Steel M. and Wu T. (2010) Species, clusters and the 'Tree of life': A graph-theoretic perspective. Journal of Theoretical Biology 265(4): 535-542. http://dx.doi.org/10.1016/j.jtbi.2010.05.031. (Journal Article)
  • Iersel LV., Semple C. and Steel MA. (2010) Locating a tree in a phylogenetic network. (Journal Article)
  • Ingram T. and Steel M. (2010) Modelling the unpredictability of future biodiversity in ecological networks. Journal of Theoretical Biology 264(3): 1047-1056. http://dx.doi.org/10.1016/j.jtbi.2010.03.001. (Journal Article)
  • Magnuson-Ford K., Mooers A., Rioux Paquette S. and Steel M. (2010) Comparing strategies to preserve evolutionary diversity. Journal of Theoretical Biology 266(1): 107-116. http://dx.doi.org/10.1016/j.jtbi.2010.06.004. (Journal Article)
  • Sanderson MJ., McMahon MM. and Steel M. (2010) Phylogenomics with incomplete taxon coverage: the limits to inference. BMC Evolutionary Biology 10: 155. http://dx.doi.org/10.1186/1471-2148-10-155. (Journal Article)
  • Steel M. (2010) Birth and death processes in molecular evolution and biodiversity conservation. Victoria University of Wellington, New Zealand: Second Wellington Workshop in Probability and Mathematical Statistics (WWPMS 2010), 30 Nov-1 Dec 2010 (Conference Contribution - Other)
  • Steel M. (2010) Can we avoid "SIN" in the "House of No Common Mechanism"? Mount Ruapehu, New Zealand: The Annual New Zealand Phylogenetics Meeting (Doom10), 9-14 Feb 2010 (Conference Contribution - Other)
  • Steel M. (2010) Extracting evolutionary signal from patchy genomic data and gene content. Adelaide, Australia: Adelaide Phylogenetics Conference, 12-16 Apr 2010 (Conference Contribution - Other)
  • Steel M. (2010) Extracting evolutionary signal from patchy genomic data and gene content. Lyon, France: Annual Meeting of the Society for Molecular Biology and Evolution (SMBE 2010), 4-8 Jul 2010 (Conference Contribution - Other)
  • Steel M. (2010) Predicting the loss of future evolutionary heritage. Portland, OR, USA: Evolution 2010_Portland_Jun 2010, 25-29 Jun 2010 (Conference Contribution - Other)
  • Steel M. and Penny D. (2010) ORIGINS OF LIFE Common ancestry put to the test. Nature: New biology 465(7295): 168-169. http://dx.doi.org/10.1038/465168a. (Journal Article)
  • Bryant D. and Steel M. (2009) Computing the distribution of a tree metric. IEEE/ACM Transactions on Computational Biology and Bioinformatics 6(3): 420-426. http://dx.doi.org/10.1109/TCBB.2009.32. (Journal Article)
  • Huson D., Moulton V. and Steel M. (2009) Special Section: Phylogenetics. IEEE/ACM Transactions on Computational Biology and Bioinformatics (Journal Article)
  • Mossel E., Roch S. and Steel M. (2009) Shrinkage Effect in Ancestral Maximum Likelihood. IEEE/ACM Transactions on Computational Biology and Bioinformatics (Journal Article)
  • Semple C. and Steel M. (2009) Mathematical Aspects of the 'Tree of Life'. Math Horizons (Journal Article)
  • Steel M. (2009) Evolutionary trees and their application: from rapidly evolving pathogens to the "Noah's Ark problem". Friedrich-Schiller-Universität Jena, Jena, Germany. (Oral Presentation)
  • Steel M. (2009) Frontiers of phylogeny. CAS-MPG Partner institute for Computational Biology, Shanghai, China. (Oral Presentation)
  • Steel M. (2009) Mixed up trees: The geometry of phylogenetic mixtures. Faculty of Mathematics, Universität Bielefeld, Bielefeld, Germany. (Oral Presentation)
  • Steel M. (2009) Tree reconstruction and other combinatorial aspects of evolution. Technische Universität Berlin, Berlin, Germany. (Oral Presentation)
  • Steel M. (2009) Evolutionary trees and their application: from rapidly evolving pathogens to the "Noah's Ark problem". CAS-MPG Partner institute for Computational Biology, Shanghai, China: Mathematical Models of Dynamics and Control of Environmental Change: Scaling from Genomes to Ecosystems, 26 Apr-1 May 2009 (Conference Contribution - Other)
  • Steel M. (2009) Mixed up trees: The geometry of phylogenetic mixtures. Rényi Institute, Budapest, Hungary: Phylogenetics 2009, 22-25 Jun 2009 (Conference Contribution - Other)
  • Steel M. (2009) Penny Ante': Mathematical biology or biological mathematics? New Zealand Science Review 66(1): 11-12. (Journal Article)
  • Steel M. (2009) Probability, trees and evolution. Port Elliot, South Australia, Australia: Phylogenetics Workshop, 14-17 Apr 2009 (Conference Contribution - Other)
  • Steel M. and Szekely L. (2009) Inverting Random Functions III: Discrete MLE Revisited. (Journal Article)
  • Steel M., Székely L. and Mossel E. (2009) Phylogenetic information complexity: Is testing a tree easier than finding it? Journal of Theoretical Biology 258(1): 95-102. http://dx.doi.org/10.1016/j.jtbi.2009.01.007. (Journal Article)
  • Van IL., Semple C. and Steel M. (2009) Quantifying the Extent of Lateral Gene Transfer Required to Avert a 'Genome of Eden'. (Journal Article)
  • Wu T., Moulton V. and Steel M. (2009) Refining Phylogenetic Trees Given Additional Data: Algorithms Based on Parsimony. IEEE/ACM Transactions on Computational Biology and Bioinformatics (Journal Article)
  • Wu T., Moulton V. and Steel M. (2009) Refining Phylogenetic Trees Given Additional Data: An Algorithm Based on Parsimony. IEEE/ACM Transactions on Computational Biology and Bioinformatics 6(1): 118-125. http://dx.doi.org/10.1109/TCBB.2008.102. (Journal Article)
  • Fischer M. and Steel M. (2008) Expected Anomolies in the Fossil Record. Evolutionary Bioinformatics (Journal Article)
  • Gernhard T., Hartmann K. and Steel M. (2008) Stochastic properties of generalised Yule models, with biodiversity applications. Journal of Mathematical Biology 57(5): 713-735. http://dx.doi.org/10.1007/s00285-008-0186-y. (Journal Article)
  • Gill J., Linusson S., Moulton V. and Steel M. (2008) A regular decomposition of the edge-product space of phylogenetic trees. Advances in Applied Mathematics 41(2): 158-176. http://dx.doi.org/10.1016/j.aam.2006.07.007. (Journal Article)
  • Gruenheit N., Lockhart P., Steel M. and Martin W. (2008) Difficulties in Testing for Covarion-Like Properties of Sequences under the Confounding Influence of Changing Proportions of Variable Sites. (Journal Article)
  • Huson D., Moulton V., Steel M. and Freiberger M. (2008) Reconstructing the tree of life. Plus(46) [Magazine article]. (Other)
  • Li G., Steel M. and Zhang L. (2008) More taxa are not necessarily better for the reconstruction of ancestral character states. Systematic Biology 57(4): 647-653. http://dx.doi.org/10.1080/10635150802203898. (Journal Article)
  • Steel M. (2008) The joys of being mean: tricks for (evolutionary) trees. Department of Statistics, UC Berkeley, USA. (Oral Presentation)
  • Steel M. (2008) Beyond 'event horizons' in early evolution. Hameau de l'Etoile, France: Mathematics and Informatics in Evolution and Phylogeny, 10-12 Jun 2008 (Conference Contribution - Other)
  • Steel M. (2008) Is testing a tree easier than finding it? University of Auckland, New Zealand: 4th International Conference on Combinatorial Mathematics and Combinatorial Computing (4ICC), 15-19 Dec 2008 (Conference Contribution - Other)
  • Steel M. (2008) The joys of being mean. Whitianga, New Zealand: The Annual New Zealand Phylogenetics Meeting (Whitianga08), 10-15 Feb 2008 (Conference Contribution - Other)
  • Thierer T., Bryant D. and Steel M. (2008) Counting Ancestral Reconstructions in a Fixed Phylogeny. (Journal Article)
  • Whitfield JB., Cameron SA., Huson DH. and Steel MA. (2008) Filtered Z-closure supernetworks for extracting and visualizing recurrent signal from incongruent gene trees. Systematic Biology 57(6): 939-947. http://dx.doi.org/10.1080/10635150802552849. (Journal Article)
  • Gascuel O. and Steel M. (Ed.) (2007) Reconstructing Evolution: New Mathematical and Computational Advances. New York: Oxford University Press. 340. (Edited Volume)
  • Hartmann K. and Steel M. (2007) Phylogenetic diversity: from combinatorics to ecology. In Gascuel O; Steel M (Ed.), Reconstructing Evolution: New Mathematical and Computational Advances: 340. New York: Oxford University Press. (Chapter)
  • Moulton V., Semple C. and Steel M. (2007) Optimizing phylogenetic diversity under constraints. (Journal Article)
  • Steel M. (2007) Combinatorial approaches in phylogenetics. Mathematical Institute, University of Oxford, Oxford, UK. (Oral Presentation)
  • Steel M. (2007) Informal discussions on Phylogenetic networks. Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. (Oral Presentation)
  • Steel M. (2007) Stars, nets, and the "war on error": Six mathematical challenges. Isaac Newton Institute for Mathematical Sciences, Cambridge, UK: EMBO Workshop on Current Challenges and Problems in Phylogenetics, 3-7 Sep 2007 (Conference Contribution - Other)
  • Steel M. (2007) Tools to construct and study big trees: A mathematical perspective. In Hodkinson TR; Parnell JAN (Ed.), Reconstructing the Tree of Life: Taxonomy and Systematics of Species Rich Taxa: 97-112. Boca Raton: CRC Press (Taylor and Francis). (Chapter)
  • Steel M. and Matsen E. (2007) Is there a star paradox? Mount Ruapehu, New Zealand: The Annual New Zealand Phylogenetics Meeting (Doom07), 11-16 Feb 2007 (Conference Contribution - Other)
  • Steel M. and Matsen FA. (2007) The Bayesian "star paradox" persists for long finite sequences. Molecular Biology and Evolution 24(4): 1075-1079. http://dx.doi.org/10.1093/molbev/msm028. (Journal Article)
  • Steel M. and Szekely L. (2007) Teasing Apart Two Trees. (Journal Article)
  • Steel M., Mimoto A. and Mooers AØ. (2007) Hedging our bets: the expected contribution of species to future phylogenetic diversity. Evolutionary Bioinformatics 3: 237-244. (Journal Article)
  • Steel M., Moulton V. and Huson D. (2007) Phylogenetics: interactions between mathematics and evolution. Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. (Oral Presentation)
  • Baroni M., Semple C. and Steel M. (2006) Hybrids in Real Time. Systematic Biology (Journal Article)
  • Bordewich M., Semple C. and Steel M. (2006) Identifying X-trees with few characters. (Journal Article)
  • Gernhard T., Ford D., Vos R. and Steel M. (2006) Estimating the relative order of speciation or coalescence events on a given phylogeny. (Journal Article)
  • Hartmann K. and Steel M. (2006) Maximizing phylogenetic diversity in biodiversity conservation: Greedy solutions to the Noah's Ark Problem. Systematic Biology 55(4): 644-651. http://dx.doi.org/10.1080/10635150600873876. (Journal Article)
  • Huson D., Steel MA. and Whitfield J. (2006) Reducing distortion in phylogenetic networks. Zurich, Switzerland: 6th Workshop on Algorithms in Bioinformatics (WABI'06), 11-13 Sep 2006. In Lecture Notes in Bioinformatics 4175(Algorithms in Bioinformatics): 150-161. http://dx.doi.org/10.1007/11851561_14. (Conference Contribution - Published)
  • Semple C. and Steel M. (2006) Unicyclic Networks: Compatibility and Enumeration. IEEE/ACM Transactions on Computational Biology and Bioinformatics (Journal Article)
  • Steel M. (2006) Combinatorial approaches in phylogenetics. CWI-Amsterdam, Amsterdam, the Netherlands: Diamant seminars: Combinatorics and Optimization, 01 Oct 2015. (Oral Presentation)
  • Baroni M., Semple C. and Steel M. (2005) A Framework for Representing Reticulate Evolution. Annals of Combinatorics (Journal Article)
  • Baroni M., Semple C. and Steel M. (2005) Hybrids in real time. (Journal Article)
  • Huber K., Moulton V. and Steel M. (2005) Four characters suffice to convexly define a phylogenetic tree. (Journal Article)
  • Huber K., Moulton V., Semple C. and Steel M. (2005) Recovering a phylogenetic tree using pairwise closure operations. (Journal Article)
  • Huson DH., Klöpper T., Lockhart PJ. and Steel MA. (2005) Reconstruction of reticulate networks from gene trees. In Lecture Notes in Computer Science 3500: 233-249. (Conference Contribution - Published)
  • Mossel E. and Steel M. (2005) Random biochemical networks: the probability of self-sustaining autocatalysis. Journal of Theoretical Biology 233(3): 327-336. http://dx.doi.org/10.1016/j.jtbi.2004.10.011. (Journal Article)
  • Mossel E. and Steel M. (2005) How much can evolved characters tell us about the tree that generated them? In Gascuel O (Ed.), Mathematics of Evolution and Phylogeny: 384-412. Oxford: Oxford University Press. (Chapter)
  • Steel M. and Penny D. (2005) Maximum parsimony and the phylogenetic information in multistate characters. In Albert V (Ed.), Parsimony, phylogeny and genomics: 163-178. Oxford: Oxford University Press. (Chapter)
  • Baroni M. and Steel M. (2004) Accumulation Phylogenies. (Journal Article)
  • Bashford JD., Jarvis PD., Sumner JG. and Steel MA. (2004) U(1) × U(1) × U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes. Journal of Physics A: Mathematical and General 37(8) http://dx.doi.org/10.1088/0305-4470/37/8/L01. (Journal Article)
  • Bryant D., Semple C. and Steel M. (2004) Supertree methods for ancestral divergence dates and other applications. In Bininda-Emonds ORP (Ed.), Computational Biology, Vol. 4: Phylogenetic Supertrees: Combining Information to Reveal the Tree of Life: 129-150. Dordrecht: Kluwer. (Chapter)
  • Dezulian T. and Steel M. (2004) Phylogenetic closure operations and homoplasy-free evolution. In Banks D; House L; McMorris FR; Arabie P; Gaul W (Ed.), Classification, clustering, and data mining applications (Proceedings of the meeting of the International Federation of Classification Societies (IFCS) 2004): 395-416. Berlin: Springer-Verlag. (Chapter)
  • Esser C., Ahmadinejad N., Wiegand C., Rotte C., Sebastiani F., Gelius-Dietrich G., Henze K., Kretschmann E., Richly E. and Leister D. (2004) A genome phylogeny for mitochondria among α-proteobacteria and a predominantly eubacterial ancestry of yeast nuclear genes. Molecular Biology and Evolution 21(9): 1643-1660. http://dx.doi.org/10.1093/molbev/msh160. (Journal Article)
  • Huson D., Dezulian T., Klöpper T. and Steel M. (2004) Phylogenetic Super-Networks from Partial Trees. (Journal Article)
  • Huson DH., Dezulian T., Klöpper T. and Steel MA. (2004) Phylogenetic Super-networks from Partial Trees. Lecture Notes in Computer Science 3240: 388-399. (Journal Article)
  • Semple C. and Steel M. (2004) Cyclic permutations and evolutionary trees. (Journal Article)
  • Semple C., Daniel P., Hordijk W., Page R. and Steel M. (2004) Supertree algorithms for ancestral divergence dates and nested taxa. (Journal Article)
  • Steel M. (2004) Inferring Phylogenies - an epic worth the wait (Book Review). Trends in Ecology and Evolution 19(4): 173-174. (Journal Article)
  • Steel M. and Penny D. (2004) Two further links between MP and ML under the Poisson Model. (Journal Article)
  • Steel MA. (2004) Phylogenetic diversity and the greedy algorithm. (Journal Article)
  • Bryant D., McKenzie A. and Steel M. (2003) The size of a maximum agreement subtree for random binary trees. (Journal Article)
  • Hordijk W. and Steel MA. (2003) Detecting autocatalyctic, self-sustaining sets in chemical reaction systems. (Journal Article)
  • Moulton V. and Steel M. (2003) Peeling phylogenetic 'oranges'. (Journal Article)
  • Semple C. and Steel M. (2003) Phylogenetics. Oxford: Oxford University Press. 256pp. (Authored Book)
  • Semple C. and Steel M. (2002) A characterization for a set of partial partitions to define an X-tree. Discrete Mathematics (Journal Article)
  • Semple C. and Steel M. (2002) Tree reconstruction from multi-state characters. (Journal Article)
  • Steel M. (2002) Some statistical aspects of the maximum parsimony method.. : 125-139. (Chapter)
  • Steel M. and Szekely L. (2002) Inverting random functions (II): explicit bounds for discrete maximum likelihood estimation, with applications. SIAM Journal on Discrete Mathematics (Journal Article)
  • Bryant D. and Steel M. (2001) Constructing Optimal Trees from Quartets. Journal of Algorithms in Cognition, Informatics and Logic 38(1): 237-259. http://dx.doi.org/10.1006/jagm.2000.1133. (Journal Article)
  • Steel M. (2001) Sufficient conditions for two tree reconstruction techniques to succeed on sufficiently long sequences. SIAM Journal on Discrete Mathematics 14(1): 36-48. http://dx.doi.org/10.1137/S0895480198343571. (Journal Article)
  • Steel M. and Hein J. (2001) Applying the Thorne-Kishino-Felsenstein model sequence evolution on a star-shaped tree. (Journal Article)
  • Steel M. and McKenzie A. (2001) The "shape" of phylogenies under simple random speciation models. Springer; University of Canterbury. Mathematics and Statistics.. (Chapter)
  • Semple C. and Steel M. (2000) A supertree method for rooted trees. (Journal Article)
  • Steel M. (2000) The emergence of a self-catalysing structure in abstract origin-of-life models. (Journal Article)
  • Steel M., Bocker S. and Dress A. (2000) Algorithmic Aspects of tree amalgamation. (Journal Article)
  • Steel M., Dress AWM. and Böcker S. (2000) Simple but fundamental limitations on supertree and consensus tree methods. Systematic Biology 49(2): 363-368. (Journal Article)
  • Steel M., Ng M. and Wormald N. (2000) The difficulty of constructing a leaf-labelled tree including or avoiding given subtrees. (Journal Article)
  • Steel MA., Böcker S. and Dress AWM. (2000) Some simple but fundamental limits for supertree and consensus tree methods. Systematic Biol 42: 363-368. (Journal Article)
  • Allen BL. and Steel M. (1999) Subtree transfer operations and their induced metrics on evolutionary trees. (Journal Article)
  • Bryant D. and Steel M. (1999) Fast algorithms for constructing optimal trees from quartets. Baltimore, Maryland, USA: ACM/SIGACT-SIAM 1999 10th Conference on Discrete Algorithms, 17 Jan 1999. In Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms: 147-155. (Conference Contribution - Published)
  • Erdos PL., Steel MA., Székely LA. and Warnow TJ. (1999) A few logs suffice to build (almost) all trees: Part II. Theoretical Computer Science 221(1-2): 77-118. (Journal Article)
  • McKenzie AC. and Steel MA. (1999) Distributions of cherries for two models of trees. (Journal Article)
  • Semple C. and Steel M. (1999) Tree representations of non-symmetric, group-valued proximities. Advances in Applied Mathematics (Journal Article)
  • Semple C. and Steel MA. (1999) Tree reconstruction via a closure operation on partial splits. (Conference Contribution - Published)
  • Steel M. and Szekely L. (1999) Inverting random functions. (Journal Article)
  • Steel MA., Boecker S. and Dress AWM. (1999) Patching up X-trees. Annals in Combinatorics 3: 1-12. (Journal Article)
  • Bonet M., Steel M., Warnow T. and Yooseph S. (1998) Better methods for solving parsimony and compatibility. In Proceedings of the Annual International Conference on Computational Molecular Biology, RECOMB: 40-49. (Conference Contribution - Published)
  • Bonet M., Steel M., Warnow T. and Yooseph S. (1998) Better methods for solving parsimony and compatibility. Journal of Computational Biology 5(3): 391-407. http://dx.doi.org/10.1089/cmb.1998.5.391. (Journal Article)
  • Lockhart PJ., Steel MA., Barbrook AC., Huson DH., Charleston MA. and Howe CJ. (1998) A covariotide model explains apparent phylogenetic structure of oxygenic photosynthetic lineages. Molecular Biology and Evolution 15(9): 1183-1188. http://dx.doi.org/10.1093/oxfordjournals.molbev.a026025. (Journal Article)
  • Dress A., Moulton V. and Steel M. (1997) Trees, taxonomy, and strongly compatible multi-state characters. Advances in Applied Mathematics 19(1): 1-30. http://dx.doi.org/10.1006/aama.1996.0503. (Journal Article)
  • Erdös P., Steel M., Szekeley L. and Warnow T. (1997) Local quartet splits of a binary tree imply all quartet splits under one dyadic inference rule. (Journal Article)
  • Erdős PL., Steel M. and Székely L. (1997) A few logs suffice to build (almost) all trees (Part 1). (Journal Article)
  • Erdős PL., Steel MA., Székely LA. and Warnow TJ. (1997) Constructing big trees from short sequences. In Lecture Notes in Computer Science 1256: 827-837. (Conference Contribution - Published)
  • Moulton V., Steel M. and Tuffley C. (1997) Dissimilarity maps and substitution models: some new results. Mathematical Hierarchies and Biology, DIMACS series in Discrete Mathematics and Theoretical Computer ScienceAmerican Mathematical Society. (Chapter)
  • Steel M. and Hamel A. (1997) The length of a random leaf coloration on a random tree. (Journal Article)
  • Steel MA., Hendy MD. and Penny D. (1997) Reconstructing phylogenies from nucleotide pattern frequencies - a survey and some new results. (Journal Article)
  • Tuffley C. and Steel M. (1997) Links between maximum likelihood and maximum parsimony under a simple model of site substitution. Bulletin of Mathematical Biology 59(3): 581-607. http://dx.doi.org/10.1016/s0092-8240(97)00001-3. (Journal Article)
  • Waddell PJ. and Steel MA. (1997) General Time-Reversible Distances with Unequal Rates across Sites: Mixing Γ and Inverse Gaussian Distributions with Invariant Sites. Molecular Phylogenetics and Evolution 8(3): 398-414. http://dx.doi.org/10.1006/mpev.1997.0452. (Journal Article)
  • Lockhart PJ., Larkum AW., Steel M., Waddell PJ. and Penny D. (1996) Evolution of chlorophyll and bacteriochlorophyll: The problem of invariant sites in sequence analysis. Proceedings of the National Academy of Sciences 93(5): 1930-1934. http://dx.doi.org/10.1073/pnas.93.5.1930. (Journal Article)
  • Lockhart PJ., Steel MA. and W.D. Larkum A. (1996) Erratum: Gene duplication and the evolution of photosynthetic reaction center proteins (FEBS 16994) (FEBS Letters 385 (1996) 193-196). FEBS Letters 390(2): 242-242. http://dx.doi.org/10.1016/0014-5793(96)81381-0. (Journal Article)
  • Moulton V. and Steel MA. (1996) Retractions of finite distance functions onto tree metrics.. (Journal Article)
  • Penny D., Hendy MD., Lockhart PJ. and Steel MA. (1996) Corrected parsimony, minimum evolution, and Hadamard conjugations. Systematic Biology 45(4): 596-606. (Journal Article)
  • Steel MA., Cooper A. and Penny D. (1996) Confidence intervals for the divergence time of two clades. Systematic Biology 45(2): 127-134. (Journal Article)
  • Waddell PJ. and Steel MA. (1996) General time reversible distances with unequal rates across sites. (Journal Article)
  • Bandelt HJ. and Steel MA. (1995) Symmetric matrices representable by weighted trees over a cancellative abelian monoid. SIAM Journal on Discrete Mathematics 8(4): 517-525. (Journal Article)
  • Penny D., Steel M., Waddell PJ. and Hendy MD. (1995) Improved Analyses of Human mtDNA Sequences Support a Recent African Origin for Homo sapiens. Molecular Biology and Evolution 12(5): 863-882. (Journal Article)
  • Steel M. (1995) Reconstructing evolutionary trees under a variety of Markov-style models. Princeton University, Princeton, New Jersey, USA: Phylogeny Workshop, 6 Feb 1995. In Proceedings of Phylogeny Workshop (DIMACS Technical Report 95-48): 51-54. (Conference Contribution - Published)
  • Steel M. and Charleston M. (1995) Five surprising properties of parsimoniously colored trees. Bulletin of Mathematical Biology 57(2): 367-375. http://dx.doi.org/10.1007/BF02460622. (Journal Article)
  • Steel M., Lockhart PJ. and Penny D. (1995) A Frequency-Dependent Significance Test for Parsimony. Molecular Phylogenetics and Evolution 4(1): 64-71. http://dx.doi.org/10.1006/mpev.1995.1006. (Journal Article)
  • Zabinsky ZB., Wood GR., Steel MA. and Baritomp WP. (1995) Pure adaptive search for finite global optimization. Mathematical Programming 69(3): 443-448. (Journal Article)
  • Zabinsky ZB., Wood GR., Steel MA. and Baritompa WP. (1995) Pure adaptive search for finite global optimization. Mathematical Programming 69(1-3): 443-448. http://dx.doi.org/10.1007/BF01585570. (Journal Article)
  • Bryant DJ. and Steel M. (1994) Extension operations on sets of leaf-labelled trees. (Journal Article)
  • Hamel AM. and Steel MA. (1994) Finding a maximum compatible tree is NP-hard for sequences and trees. (Journal Article)
  • Hamel AM. and Steel MA. (1994) The length of a leaf coloration on a random binary tree. (Journal Article)
  • Hendy MD., Penny D. and Steel MA. (1994) A discrete Fourier analysis for evolutionary trees. Proceedings of the National Academy of Sciences 91(8): 3339-3343. (Journal Article)
  • Lockhart PJ., Steel MA., Hendy MD. and Penny D. (1994) Recovering evolutionary trees under a more realistic model of sequence evolution. Molecular Biology and Evolution 11(4): 605-612. (Journal Article)
  • McMorris FR. and Steel MA. (1994) The complexity of the median procedure for binary trees. In Diday E; Lechevallier Y; Schader M; Bertrand P; Burtschy B (Ed.), New Approaches in Classification and Data Analysis, Studies in Classification, Data Analysis, and Knowledge Organization: 136-140. Berlin: Springer Berlin Heidelberg. (Chapter)
  • Penny D., Steel MA., Lockhart PJ. and Hendy MD. (1994) The role of models in reconstructing evolutionary trees. In Scotland RW; Siebert DJ; Williams DM (Ed.), Models in Phylogeny reconstruction Oxford: Oxford University Press. (Chapter)
  • Steel MA. and Fu YX. (1994) Classifying and counting linear phylogenetic invariants for the Jukes-Cantor model. (Journal Article)
  • Steel MA., Goldstein LJ. and Waterman MS. (1994) A central limit theorem for parsimony length of trees. (Journal Article)
  • Steel MA., Székely LA. and Hendy MD. (1994) Reconstructing trees when sequence sites evolve at variable rates. (Journal Article)
  • Székely L., Erdös PL. and Steel MA. (1994) The combinatorics of evolutionary trees - a survey. Journal of Combinatorial Mathematics and Combinatorial Computing 15: 241-254. (Journal Article)
  • Steel M. (1993) Recovering a tree from the leaf colourations it generates under a Markov model. (Journal Article)
  • Steel M. and Wood GR. (1993) On a problem of Andersson and Perlman. (Journal Article)
  • Steel M., Szákely L., Erdös PL. and Waddell P. (1993) A complete family of phylogenetic invariants for any number of taxa under kimura’s 38T model. New Zealand Journal of Botany 31(3): 289-296. http://dx.doi.org/10.1080/0028825X.1993.10419506. (Journal Article)
  • Steel MA., Lockhart PJ. and Penny D. (1993) Confidence in evolutionary trees from biological sequence data. Nature: New biology 364(6436): 440-442. http://dx.doi.org/10.1038/364440a0. (Journal Article)
  • Steel MA., Székely L., Erdös PL. and Waddell P. (1993) A complete family of phylogenetic invariants for any number of taxa under Kimura's 3ST model. NZ Journal of Botany (conference proceedings) 13(3): 289-296. (Journal Article)
  • Steel M. (1992) The complexity of reconstructing trees from qualitative characters and subtrees. Journal of Classification 9(1): 91-116. http://dx.doi.org/10.1007/BF02618470. (Journal Article)
  • Steel MA., Hendy MD. and Penny D. (1992) Significance of the length of the shortest tree. Journal of Classification 9(1): 71-90. http://dx.doi.org/10.1007/BF02618469. (Journal Article)
  • Steel MA., Hendy MD., Székely LA. and Erd ublac PL. (1992) Spectral analysis and a closest tree method for genetic sequences. Applied Mathematics Letters 5(6): 63-67. http://dx.doi.org/10.1016/0893-9659(92)90016-3. (Journal Article)
  • Székely LA., Steel MA. and Erdös PL. (1992) Fourier calculus on evolutionary trees. (Journal Article)
  • Penny D., Hendy MD. and Steel MA. (1991) Testing the theory of descent. In Miyamoto M; Cracraft J (Ed.), Phylogenetic Analysis of DNA sequences: 155-183. Oxford: Oxford University Press. (Chapter)
  • Steel MA. (1990) Distributions on bicoloured evolutionary trees, (PhD abstract). Bulletin of the Australian Mathematical Society 41: 159-160. (Journal Article)
  • Steel MA. (1989) Distributions on bicoloured evolutionary trees. Palmerston North, New Zealand. Massey University. (Thesis / Dissertation)
  • Hendy MD., Steel MA., Penny D. and Henderson IM. (1988) Families of trees and consensus. In Bock HH (Ed.), Classification and Related Methods of Data Analysis: 355-362. Amsterdam: Elsevier Science Publishers B.V. (North Holland). (Chapter)
  • Steel MA. (1988) Distribution of the symmetric difference metric on phylogenetic trees. SIAM Journal on Discrete Mathematics 1(4): 541-551. (Journal Article)
  • Steel MA., Hendy MD. and Penny D. (1988) Loss of information in genetic distances [9]. Nature: New biology 336(6195): 118. http://dx.doi.org/10.1038/336118a0. (Journal Article)