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Systematic Biology 2004 53(5):793-808; doi:10.1080/10635150490522304
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© 2004 Society of Systematic Biologists

Model Selection and Model Averaging in Phylogenetics: Advantages of Akaike Information Criterion and Bayesian Approaches Over Likelihood Ratio Tests

David Posada1 and Thomas R. Buckley2

1 Departamento de Bioquímica, Genética e Inmunología, Facultad de Biología, Universidad de Vigo Vigo 36200, Spain; E-mail: dposada{at}uvigo.es
2 Landcare Research Private Bag 92170, Auckland, New Zealand; E-mail: BuckleyT{at}LandcareResearch.co.nz

Edited by Jeffrey Thorne: Associate Editor


   Abstract

Model selection is a topic of special relevance in molecular phylogenetics that affects many, if not all, stages of phylogenetic inference. Here we discuss some fundamental concepts and techniques of model selection in the context of phylogenetics. We start by reviewing different aspects of the selection of substitution models in phylogenetics from a theoretical, philosophical and practical point of view, and summarize this comparison in table format. We argue that the most commonly implemented model selection approach, the hierarchical likelihood ratio test, is not the optimal strategy for model selection in phylogenetics, and that approaches like the Akaike Information Criterion (AIC) and Bayesian methods offer important advantages. In particular, the latter two methods are able to simultaneously compare multiple nested or nonnested models, assess model selection uncertainty, and allow for the estimation of phylogenies and model parameters using all available models (model-averaged inference or multimodel inference). We also describe how the relative importance of the different parameters included in substitution models can be depicted. To illustrate some of these points, we have applied AIC-based model averaging to 37 mitochondrial DNA sequences from the subgenus Ohomopterus (genus Carabus) ground beetles described by Sota and Vogler (2001).

Keywords: AIC; Bayes factors; BIC; likelihood ratio tests; model averaging; model uncertainty; model selection; multimodel inference

Received November 25, 2003; Revised January 29, 2004; Accepted June 10, 2004
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Z.-L. Nie, H. Sun, P. M. Beardsley, R. G. Olmstead, and J. Wen
Evolution of biogeographic disjunction between eastern Asia and eastern North America in Phryma (Phrymaceae)
Am. J. Botany, September 1, 2006; 93(9): 1343 - 1356.
[Abstract] [Full Text] [PDF]


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Mol Biol EvolHome page
N. Rodrigue, H. Philippe, and N. Lartillot
Assessing Site-Interdependent Phylogenetic Models of Sequence Evolution
Mol. Biol. Evol., September 1, 2006; 23(9): 1762 - 1775.
[Abstract] [Full Text] [PDF]


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Am. J. Bot.Home page
M. J. Moore, A. Tye, and R. K. Jansen
Patterns of long-distance dispersal in Tiquilia subg. Tiquilia (Boraginaceae): implications for the origins of amphitropical disjuncts and Galapagos Islands endemics
Am. J. Botany, August 1, 2006; 93(8): 1163 - 1177.
[Abstract] [Full Text] [PDF]


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Nucleic Acids ResHome page
D. Posada
ModelTest Server: a web-based tool for the statistical selection of models of nucleotide substitution online.
Nucleic Acids Res., July 1, 2006; 34(Web Server issue): W700 - W703.
[Abstract] [Full Text] [PDF]


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Syst BiolHome page
T. R. Buckley, M. Cordeiro, D. C. Marshall, and C. Simon
Differentiating between Hypotheses of Lineage Sorting and Introgression in New Zealand Alpine Cicadas (Maoricicada Dugdale)
Syst Biol, June 1, 2006; 55(3): 411 - 425.
[Abstract] [Full Text] [PDF]


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GeneticsHome page
A. Geraldes, N. Ferrand, and M. W. Nachman
Contrasting Patterns of Introgression at X-Linked Loci Across the Hybrid Zone Between Subspecies of the European Rabbit (Oryctolagus cuniculus)
Genetics, June 1, 2006; 173(2): 919 - 933.
[Abstract] [Full Text] [PDF]


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Proc. Natl. Acad. Sci. USAHome page
G. Giribet, A. Okusu, A. R. Lindgren, S. W. Huff, M. Schrodl, and M. K. Nishiguchi
Evidence for a clade composed of molluscs with serially repeated structures: Monoplacophorans are related to chitons
PNAS, May 16, 2006; 103(20): 7723 - 7728.
[Abstract] [Full Text] [PDF]


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J. Neurophysiol.Home page
T. Vladusich, M. P. Lucassen, and F. W. Cornelissen
Do Cortical Neurons Process Luminance or Contrast to Encode Surface Properties?
J Neurophysiol, April 1, 2006; 95(4): 2638 - 2649.
[Abstract] [Full Text] [PDF]


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J. Virol.Home page
C. Jridi, J.-F. Martin, V. Marie-Jeanne, G. Labonne, and S. Blanc
Distinct Viral Populations Differentiate and Evolve Independently in a Single Perennial Host Plant
J. Virol., March 1, 2006; 80(5): 2349 - 2357.
[Abstract] [Full Text] [PDF]


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GeneticsHome page
P. Catalan, J. G. Segarra-Moragues, M. Palop-Esteban, C. Moreno, and F. Gonzalez-Candelas
A Bayesian Approach for Discriminating Among Alternative Inheritance Hypotheses in Plant Polyploids: The Allotetraploid Origin of Genus Borderea (Dioscoreaceae)
Genetics, March 1, 2006; 172(3): 1939 - 1953.
[Abstract] [Full Text] [PDF]


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Syst BiolHome page
S. A. Jansa, F. K. Barker, and L. R. Heaney
The Pattern and Timing of Diversification of Philippine Endemic Rodents: Evidence from Mitochondrial and Nuclear Gene Sequences
Syst Biol, February 1, 2006; 55(1): 73 - 88.
[Abstract] [Full Text] [PDF]


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Syst BiolHome page
M. E. Alfaro and J. P. Huelsenbeck
Comparative Performance of Bayesian and AIC-Based Measures of Phylogenetic Model Uncertainty
Syst Biol, February 1, 2006; 55(1): 89 - 96.
[Abstract] [Full Text] [PDF]


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Mol Biol EvolHome page
B. Shapiro, A. Rambaut, and A. J. Drummond
Choosing Appropriate Substitution Models for the Phylogenetic Analysis of Protein-Coding Sequences
Mol. Biol. Evol., January 1, 2006; 23(1): 7 - 9.
[Abstract] [Full Text] [PDF]


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Mol Biol EvolHome page
M. Perez-Losada, R. P. Viscidi, J. C. Demma, J. Zenilman, and K. A. Crandall
Population Genetics of Neisseria gonorrhoeae in a High-Prevalence Community Using a Hypervariable Outer Membrane porB and 13 Slowly Evolving Housekeeping Genes
Mol. Biol. Evol., September 1, 2005; 22(9): 1887 - 1902.
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Proc. Natl. Acad. Sci. USAHome page
L. A. Real, J. C. Henderson, R. Biek, J. Snaman, T. L. Jack, J. E. Childs, E. Stahl, L. Waller, R. Tinline, and S. Nadin-Davis
Unifying the spatial population dynamics and molecular evolution of epidemic rabies virus
PNAS, August 23, 2005; 102(34): 12107 - 12111.
[Abstract] [Full Text] [PDF]


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Mol Biol EvolHome page
Y.-x. Luan, J. M. Mallatt, R.-d. Xie, Y.-m. Yang, and W.-y. Yin
The Phylogenetic Positions of Three Basal-Hexapod Groups (Protura, Diplura, and Collembola) Based on Ribosomal RNA Gene Sequences
Mol. Biol. Evol., July 1, 2005; 22(7): 1579 - 1592.
[Abstract] [Full Text] [PDF]


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BioinformaticsHome page
F. Abascal, R. Zardoya, and D. Posada
ProtTest: selection of best-fit models of protein evolution
Bioinformatics, May 1, 2005; 21(9): 2104 - 2105.
[Abstract] [Full Text] [PDF]


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Syst BiolHome page
D. Pol
Empirical Problems of the Hierarchical Likelihood Ratio Test for Model Selection
Syst Biol, December 1, 2004; 53(6): 949 - 962.
[Abstract] [Full Text] [PDF]



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