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Molecular Biology and Evolution 19:101-109 (2002)
© 2002 Society for Molecular Biology and Evolution

Estimating Absolute Rates of Molecular Evolution and Divergence Times: A Penalized Likelihood Approach

Michael J. Sanderson

Section of Evolution and Ecology, University of California, Davis

Rates of molecular evolution vary widely between lineages, but quantification of how rates change has proven difficult. Recently proposed estimation procedures have mainly adopted highly parametric approaches that model rate evolution explicitly. In this study, a semiparametric smoothing method is developed using penalized likelihood. A saturated model in which every lineage has a separate rate is combined with a roughness penalty that discourages rates from varying too much across a phylogeny. A data-driven cross-validation criterion is then used to determine an optimal level of smoothing. This criterion is based on an estimate of the average prediction error associated with pruning lineages from the tree. The methods are applied to three data sets of six genes across a sample of land plants. Optimally smoothed estimates of absolute rates entailed 2- to 10-fold variation across lineages.


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Mol. Biol. Evol., August 1, 2007; 24(8): 1889 - 1897.
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Am. J. Bot.Home page
M. D. Pirie, M. P. B. Vargas, M. Botermans, F. T. Bakker, and L. W. Chatrou
Ancient paralogy in the cpDNA trnL-F region in Annonaceae: implications for plant molecular systematics
Am. J. Botany, June 1, 2007; 94(6): 1003 - 1016.
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Syst BiolHome page
D. Marjanovic and M. Laurin
Fossils, Molecules, Divergence Times, and the Origin of Lissamphibians
Syst Biol, June 1, 2007; 56(3): 369 - 388.
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Syst BiolHome page
P. S. Manos, P. S. Soltis, D. E. Soltis, S. R. Manchester, S.-H. Oh, C. D. Bell, D. L. Dilcher, and D. E. Stone
Phylogeny of Extant and Fossil Juglandaceae Inferred from the Integration of Molecular and Morphological Data Sets
Syst Biol, June 1, 2007; 56(3): 412 - 430.
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Mol Biol EvolHome page
H.-L. Lee, R. K. Jansen, T. W. Chumley, and K.-J. Kim
Gene Relocations within Chloroplast Genomes of Jasminum and Menodora (Oleaceae) Are Due to Multiple, Overlapping Inversions
Mol. Biol. Evol., May 1, 2007; 24(5): 1161 - 1180.
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Proc R Soc BHome page
J. J Wiens, G. Parra-Olea, M. Garcia-Paris, and D. B Wake
Phylogenetic history underlies elevational biodiversity patterns in tropical salamanders
Proc R Soc B, April 7, 2007; 274(1612): 919 - 928.
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Syst BiolHome page
J. M. Waters, D. L. Rowe, S. Apte, T. M. King, G. P. Wallis, L. Anderson, R. J. Norris, D. Craw, and C. P. Burridge
Geological Dates and Molecular Rates: Rapid Divergence of Rivers and Their Biotas
Syst Biol, April 1, 2007; 56(2): 271 - 282.
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PaleobiologyHome page
A. B. Smith
Intrinsic versus extrinsic biases in the fossil record: contrasting the fossil record of echinoids in the Triassic and early Jurassic using sampling data, phylogenetic analysis, and molecular clocks
Paleobiology, March 1, 2007; 33(2): 310 - 323.
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Mol Biol EvolHome page
M. K. Gonder, H. M. Mortensen, F. A. Reed, A. de Sousa, and S. A. Tishkoff
Whole-mtDNA Genome Sequence Analysis of Ancient African Lineages
Mol. Biol. Evol., March 1, 2007; 24(3): 757 - 768.
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ANN BOT (LOND)Home page
Y.-J. Wang, J.-Q. Liu, and G. Miehe
Phylogenetic Origins of the Himalayan Endemic Dolomiaea, Diplazoptilon and Xanthopappus (Asteraceae: Cardueae) Based on Three DNA Regions
Ann. Bot., February 1, 2007; 99(2): 311 - 322.
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Mol Biol EvolHome page
E. D. Akhunov, A. R. Akhunova, and J. Dvorak
Mechanisms and Rates of Birth and Death of Dispersed Duplicated Genes during the Evolution of a Multigene Family in Diploid and Tetraploid Wheats
Mol. Biol. Evol., February 1, 2007; 24(2): 539 - 550.
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Proc. Natl. Acad. Sci. USAHome page
K. Roelants, D. J. Gower, M. Wilkinson, S. P. Loader, S. D. Biju, K. Guillaume, L. Moriau, and F. Bossuyt
Global patterns of diversification in the history of modern amphibians
PNAS, January 16, 2007; 104(3): 887 - 892.
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Mol Biol EvolHome page
A. Willyard, J. Syring, D. S. Gernandt, A. Liston, and R. Cronn
Fossil Calibration of Molecular Divergence Infers a Moderate Mutation Rate and Recent Radiations for Pinus
Mol. Biol. Evol., January 1, 2007; 24(1): 90 - 101.
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Biol LettHome page
P. G.P Ericson, C. L Anderson, T. Britton, A. Elzanowski, U. S Johansson, M. Kallersjo, J. I Ohlson, T. J Parsons, D. Zuccon, and G. Mayr
Diversification of Neoaves: integration of molecular sequence data and fossils
Biol Lett, December 22, 2006; 2(4): 543 - 547.
[Abstract] [Full Text] [PDF]



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