Abstract
It is well known that the rate of amino acid substitution varies among different proteins and among different sites of a protein. It is, however, unclear whether the extent of rate variation among sites of a protein and the mean substitution rate of the protein are correlated. We used two approaches to analyze orthologous protein sequences of 51 nuclear genes of vertebrates and 13 mitochondrial genes of mammals. In the first approach, no assumptions of the distribution of the rate variation among sites were made, and in the second approach, the gamma distribution was assumed. Through both approaches, we found a negative correlation between the extent of among-site rate variation and the average substitution rate of a protein. That is, slowly evolving proteins tend to have a high level of rate variation among sites, and vice versa. We found this observation consistent with a simple model of the neutral theory where most sites are either invariable or neutral. We conclude that the correlation is a general feature of protein evolution and discuss its implications in statistical tests of positive Darwinian selection and molecular time estimation of deep divergences.
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- Brown W. M., George M., Jr, Wilson A. C. Rapid evolution of animal mitochondrial DNA. Proc Natl Acad Sci U S A. 1979 Apr;76(4):1967–1971. doi: 10.1073/pnas.76.4.1967. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Doolittle R. F., Feng D. F., Tsang S., Cho G., Little E. Determining divergence times of the major kingdoms of living organisms with a protein clock. Science. 1996 Jan 26;271(5248):470–477. doi: 10.1126/science.271.5248.470. [DOI] [PubMed] [Google Scholar]
- Duret L., Mouchiroud D., Gouy M. HOVERGEN: a database of homologous vertebrate genes. Nucleic Acids Res. 1994 Jun 25;22(12):2360–2365. doi: 10.1093/nar/22.12.2360. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Feng D. F., Cho G., Doolittle R. F. Determining divergence times with a protein clock: update and reevaluation. Proc Natl Acad Sci U S A. 1997 Nov 25;94(24):13028–13033. doi: 10.1073/pnas.94.24.13028. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Gogarten J. P., Olendzenski L., Hilario E., Simon C., Holsinger K. E. Dating the cenancester of organisms. Science. 1996 Dec 6;274(5293):1750–1753. [PubMed] [Google Scholar]
- Golding G. B. Estimates of DNA and protein sequence divergence: an examination of some assumptions. Mol Biol Evol. 1983 Dec;1(1):125–142. doi: 10.1093/oxfordjournals.molbev.a040303. [DOI] [PubMed] [Google Scholar]
- Goodfellow P. N., Lovell-Badge R. SRY and sex determination in mammals. Annu Rev Genet. 1993;27:71–92. doi: 10.1146/annurev.ge.27.120193.000443. [DOI] [PubMed] [Google Scholar]
- Gu X., Fu Y. X., Li W. H. Maximum likelihood estimation of the heterogeneity of substitution rate among nucleotide sites. Mol Biol Evol. 1995 Jul;12(4):546–557. doi: 10.1093/oxfordjournals.molbev.a040235. [DOI] [PubMed] [Google Scholar]
- Gu X., Li W. H. Estimation of evolutionary distances under stationary and nonstationary models of nucleotide substitution. Proc Natl Acad Sci U S A. 1998 May 26;95(11):5899–5905. doi: 10.1073/pnas.95.11.5899. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Gu X. The age of the common ancestor of eukaryotes and prokaryotes: statistical inferences. Mol Biol Evol. 1997 Aug;14(8):861–866. doi: 10.1093/oxfordjournals.molbev.a025827. [DOI] [PubMed] [Google Scholar]
- Gu X., Zhang J. A simple method for estimating the parameter of substitution rate variation among sites. Mol Biol Evol. 1997 Nov;14(11):1106–1113. doi: 10.1093/oxfordjournals.molbev.a025720. [DOI] [PubMed] [Google Scholar]
- Hawkins J. R., Taylor A., Berta P., Levilliers J., Van der Auwera B., Goodfellow P. N. Mutational analysis of SRY: nonsense and missense mutations in XY sex reversal. Hum Genet. 1992 Feb;88(4):471–474. doi: 10.1007/BF00215684. [DOI] [PubMed] [Google Scholar]
- Hedges S. B., Parker P. H., Sibley C. G., Kumar S. Continental breakup and the ordinal diversification of birds and mammals. Nature. 1996 May 16;381(6579):226–229. doi: 10.1038/381226a0. [DOI] [PubMed] [Google Scholar]
- Janke A., Xu X., Arnason U. The complete mitochondrial genome of the wallaroo (Macropus robustus) and the phylogenetic relationship among Monotremata, Marsupialia, and Eutheria. Proc Natl Acad Sci U S A. 1997 Feb 18;94(4):1276–1281. doi: 10.1073/pnas.94.4.1276. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kimura M. Model of effectively neutral mutations in which selective constraint is incorporated. Proc Natl Acad Sci U S A. 1979 Jul;76(7):3440–3444. doi: 10.1073/pnas.76.7.3440. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kimura M., Ohta T. On some principles governing molecular evolution. Proc Natl Acad Sci U S A. 1974 Jul;71(7):2848–2852. doi: 10.1073/pnas.71.7.2848. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kumar S. Patterns of nucleotide substitution in mitochondrial protein coding genes of vertebrates. Genetics. 1996 May;143(1):537–548. doi: 10.1093/genetics/143.1.537. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kwiatowski J., Krawczyk M., Jaworski M., Skarecky D., Ayala F. J. Erratic evolution of glycerol-3-phosphate dehydrogenase in Drosophila, Chymomyza, and Ceratitis. J Mol Evol. 1997 Jan;44(1):9–22. doi: 10.1007/pl00006126. [DOI] [PubMed] [Google Scholar]
- Lee Y. H., Ota T., Vacquier V. D. Positive selection is a general phenomenon in the evolution of abalone sperm lysin. Mol Biol Evol. 1995 Mar;12(2):231–238. doi: 10.1093/oxfordjournals.molbev.a040200. [DOI] [PubMed] [Google Scholar]
- Li W. H., Ellsworth D. L., Krushkal J., Chang B. H., Hewett-Emmett D. Rates of nucleotide substitution in primates and rodents and the generation-time effect hypothesis. Mol Phylogenet Evol. 1996 Feb;5(1):182–187. doi: 10.1006/mpev.1996.0012. [DOI] [PubMed] [Google Scholar]
- Li W. H., Gojobori T. Rapid evolution of goat and sheep globin genes following gene duplication. Mol Biol Evol. 1983 Dec;1(1):94–108. doi: 10.1093/oxfordjournals.molbev.a040306. [DOI] [PubMed] [Google Scholar]
- Miyamoto M. M., Fitch W. M. Constraints on protein evolution and the age of the eubacteria/eukaryote split. Syst Biol. 1996 Dec;45(4):568–575. doi: 10.1093/sysbio/45.4.568. [DOI] [PubMed] [Google Scholar]
- Nedbal M. A., Flynn J. J. Do the combined effects of the asymmetric process of replication and DNA damage from oxygen radicals produce a mutation-rate signature in the mitochondrial genome? Mol Biol Evol. 1998 Feb;15(2):219–223. doi: 10.1093/oxfordjournals.molbev.a025917. [DOI] [PubMed] [Google Scholar]
- Nei M., Chakraborty R., Fuerst P. A. Infinite allele model with varying mutation rate. Proc Natl Acad Sci U S A. 1976 Nov;73(11):4164–4168. doi: 10.1073/pnas.73.11.4164. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Pontiggia A., Whitfield S., Goodfellow P. N., Lovell-Badge R., Bianchi M. E. Evolutionary conservation in the DNA-binding and -bending properties of HMG-boxes from SRY proteins of primates. Gene. 1995 Mar 10;154(2):277–280. doi: 10.1016/0378-1119(94)00853-k. [DOI] [PubMed] [Google Scholar]
- Sharp P. M. In search of molecular darwinism. Nature. 1997 Jan 9;385(6612):111–112. doi: 10.1038/385111a0. [DOI] [PubMed] [Google Scholar]
- Stewart C. B., Schilling J. W., Wilson A. C. Adaptive evolution in the stomach lysozymes of foregut fermenters. 1987 Nov 26-Dec 2Nature. 330(6146):401–404. doi: 10.1038/330401a0. [DOI] [PubMed] [Google Scholar]
- Tucker P. K., Lundrigan B. L. Rapid evolution of the sex determining locus in Old World mice and rats. Nature. 1993 Aug 19;364(6439):715–717. doi: 10.1038/364715a0. [DOI] [PubMed] [Google Scholar]
- Uzzell T., Corbin K. W. Fitting discrete probability distributions to evolutionary events. Science. 1971 Jun 11;172(3988):1089–1096. doi: 10.1126/science.172.3988.1089. [DOI] [PubMed] [Google Scholar]
- Wallis M. Remarkably high rate of molecular evolution of ruminant placental lactogens. J Mol Evol. 1993 Jul;37(1):86–88. doi: 10.1007/BF00170466. [DOI] [PubMed] [Google Scholar]
- Wallis M. The molecular evolution of vertebrate growth hormones: a pattern of near-stasis interrupted by sustained bursts of rapid change. J Mol Evol. 1996 Aug;43(2):93–100. doi: 10.1007/BF02337353. [DOI] [PubMed] [Google Scholar]
- Werner M. H., Huth J. R., Gronenborn A. M., Clore G. M. Molecular basis of human 46X,Y sex reversal revealed from the three-dimensional solution structure of the human SRY-DNA complex. Cell. 1995 Jun 2;81(5):705–714. doi: 10.1016/0092-8674(95)90532-4. [DOI] [PubMed] [Google Scholar]
- Whitfield L. S., Lovell-Badge R., Goodfellow P. N. Rapid sequence evolution of the mammalian sex-determining gene SRY. Nature. 1993 Aug 19;364(6439):713–715. doi: 10.1038/364713a0. [DOI] [PubMed] [Google Scholar]
- Wolfe K. H., Sharp P. M., Li W. H. Mutation rates differ among regions of the mammalian genome. Nature. 1989 Jan 19;337(6204):283–285. doi: 10.1038/337283a0. [DOI] [PubMed] [Google Scholar]
- Yang Z. Maximum likelihood phylogenetic estimation from DNA sequences with variable rates over sites: approximate methods. J Mol Evol. 1994 Sep;39(3):306–314. doi: 10.1007/BF00160154. [DOI] [PubMed] [Google Scholar]
- Zhang J., Kumar S. Detection of convergent and parallel evolution at the amino acid sequence level. Mol Biol Evol. 1997 May;14(5):527–536. doi: 10.1093/oxfordjournals.molbev.a025789. [DOI] [PubMed] [Google Scholar]
- Zhang J., Nei M. Accuracies of ancestral amino acid sequences inferred by the parsimony, likelihood, and distance methods. J Mol Evol. 1997;44 (Suppl 1):S139–S146. doi: 10.1007/pl00000067. [DOI] [PubMed] [Google Scholar]
- Zhang J., Rosenberg H. F., Nei M. Positive Darwinian selection after gene duplication in primate ribonuclease genes. Proc Natl Acad Sci U S A. 1998 Mar 31;95(7):3708–3713. doi: 10.1073/pnas.95.7.3708. [DOI] [PMC free article] [PubMed] [Google Scholar]