Codon Substitution in Evolution and the "Saturation" of Synonymous Changes

A mathematical model for codon substitution is presented, taking into account unequal mutation rates among different nucleotides and purifying selection. This model is constructed by using a 61 X 61 transition probability matrix for the 61 nonterminating codons. Under this model, a computer simulation is conducted to study the numbers of silent (synonymous) and amino acid-altering (nonsynonymous) nucleotide substitutions when the underlying mutation rates among the four kinds of nucleotides are not equal. It is assumed that the substitution rates are constant over evolutionary time, the codon frequencies being in equilibrium, and, thus, the numbers of synonymous and nonsynonymous substitutions both increase linearly with evolutionary time. It is shown that, when the mutation rates are not equal, the estimate of synonymous substitutions obtained by F. Perler, A. Efstratiadis, P. Lomedico, W. Gilbert, R. Kolodner and J. Dodgson's "Percent Corrected Divergence" method increases nonlinearly, although the true number of synonymous substitutions increases linearly. It is, therefore, possible that the "saturation" of synonymous substitutions observed by Perler et al. is due to the inefficiency of their method to detect all synonymous substitutions.     

A likelihood approach for comparing synonymous and nonsynonymous nucleotide substitution rates, with application to the chloroplast genome

A model of DNA sequence evolution applicable to coding regions is presented. This represents the first evolutionary model that accounts for dependencies among nucleotides within a codon. The model uses the codon, as opposed to the nucleotide, as the unit of evolution, and is parameterized in terms of synonymous and nonsynonymous nucleotide substitution rates. One of the model's advantages over those used in methods for estimating synonymous and nonsynonymous substitution rates is that it completely corrects for multiple hits at a codon, rather than taking a parsimony approach and considering only pathways of minimum change between homologous codons. Likelihood-ratio versions of the relative-rate test are constructed and applied to data from the complete chloroplast DNA sequences of Oryza sativa, Nicotiana tabacum, and Marchantia polymorpha. Results of these tests confirm previous findings that substitution rates in the chloroplast genome are subject to both lineage-specific and locus-specific effects. Additionally, the new tests suggest tha the rate heterogeneity is due primarily to differences in nonsynonymous substitution rates. Simulations help confirm previous suggestions that silent sites are saturated, leaving no evidence of heterogeneity in synonymous substitution rates.      

Nucleic acid composition,codon usage,and the rate of synonymous substitution in protein-coding genes

Summary Based on the rates of synonymous substitution in 42 protein-codin gene pairs from rat and human, a correlation is shown to exist between the frequency of the nucleotides in all positions of the codon and the synonymous substitution rate. The correlation coefficients were positive for A and T and negative for C and G. This means that AT-rich genes accumulate more synonymous substitutions than GC-rich genes. Biased patterns of mutation could not account for this phenomenon. Thus, the variation in synonymous substitution rates and the resulting unequal codon usage must be the consequence of selection against A and T in synonymous positions. Most of the varition in rates of synonymous substitution can be explained by the nucleotide composition in synonymous positions. Codon-anticodon interactions, dinucleotide frequencies, and contextual factors influence neither the rates of synonymous substitution nor codon usage. Interestingly, the nucleotide in the second position of codons (always a nonsynonymous position) was found to affect the rate of synonymous substitution. This finding links the rate of nonsynonymous substitution with the synonymous rate. Consequently, highly conservative proteins are expected to be encoded by genes that evolve slowly in terms of synonymous substitutions, and are consequently highly biased in their codon usage.     

Rates of nucleotide substitution and mammalian nuclear gene evolution. Approximate and maximum-likelihood methods lead to different conclusions

Rates and patterns of synonymous and nonsynonymous substitutions have important implications for the origin and maintenance of mammalian isochores and the effectiveness of selection at synonymous sites. Previous studies of mammalian nuclear genes largely employed approximate methods to estimate rates of nonsynonymous and synonymous substitutions. Because these methods did not account for major features of DNA sequence evolution such as transition/transversion rate bias and unequal codon usage, they might not have produced reliable results. To evaluate the impact of the estimation method, we analyzed a sample of 82 nuclear genes from the mammalian orders Artiodactyla, Primates, and Rodentia using both approximate and maximum-likelihood methods. Maximum-likelihood analysis indicated that synonymous substitution rates were positively correlated with GC content at the third codon positions, but independent of nonsynonymous substitution rates. Approximate methods, however, indicated that synonymous substitution rates were independent of GC content at the third codon positions, but were positively correlated with nonsynonymous rates. Failure to properly account for transition/transversion rate bias and unequal codon usage appears to have caused substantial biases in approximate estimates of substitution rates.     

Molecular evolution of the COX7A gene family in primates.

COX VIIa is one of 10 nuclear-encoded subunits of the COX holoenzyme, and one of three that have isoforms with tissue-specific differences in expression. Analysis of nucleotide substitution rates revealed an accelerated rate of nonsynonymous substitutions relative to that of synonymous substitutions for the heart isoform gene (COX7AH) in six primate lineages. Rate accelerations have been noted for four other COX-related genes in this time period, suggesting that the COX holoenzyme has experienced an episode of adaptive evolution. A third member of the gene family, COX7AR, has recently been described. Although its function is currently unknown, low nonsynonymous substitution/synonymous substitution (N/S) ratios in mammalian evolution suggest that COX7AR is of functional importance. When the COX7A isoforms were divided into domains, examination of nucleotide substitution rates suggested that mitochondrial targeting residues experienced an accelerated nonsynonymous substitution rate in the period following gene duplication. In contrast, paralogous comparisons of the targeting residues of each isoform show they have been relatively conserved in mammalian evolution. This pattern is consistent with the evolution of tissue-specific function.     

Uncorrected nucleotide bias in mtDNA can mimic the effects of positive Darwinian selection

The relative rates of nucleotide substitution at synonymous and nonsynonymous sites within protein-coding regions have been widely used to infer the action of natural selection from comparative sequence data. It is known, however, that mutational and repair biases can affect rates of evolution at both synonymous and nonsynonymous sites. More importantly, it is also known that synonymous sites are particularly prone to the effects of nucleotide bias. This means that nucleotide biases may affect the calculated ratio of substitution rates at synonymous and nonsynonymous sites. Using a large data set of animal mitochondrial sequences, we demonstrate that this is, in fact, the case. Highly biased nucleotide sequences are characterized by significantly elevated dN/dS ratios, but only when the nucleotide frequencies are not taken into account. When the analysis is repeated taking the nucleotide frequencies at each codon position into account, such elevated ratios disappear. These results suggest that the recently reported differences in dN/dS ratios between vertebrate and invertebrate mitochondrial sequences could be explained by variations in mitochondrial nucleotide frequencies rather than the effects of positive Darwinian selection.     

Molecular evolution of nuclear genes in Cupressacea, a group of conifer trees

We surveyed the molecular evolutionary characteristics of 11 nuclear genes from 10 conifer trees belonging to the Taxodioideae, the Cupressoideae, and the Sequoioideae. Comparisons of substitution rates among the lineages indicated that the synonymous substitution rates of the Cupressoideae lineage were higher than those of the Taxodioideae. This result parallels the pattern previously found in plastid genes. Likelihood-ratio tests showed that the nonsynonymous-synonymous rate ratio did not change significantly among lineages. In addition, after adjustments for lineage effects, the dispersion indices of synonymous and nonsynonymous substitutions were considerably reduced, and the latter was close to 1. These results indicated that the acceleration of evolutionary rates in the Cupressoideae lineage occurred in both the nuclear and plastid genomes, and that generally, this lineage effect affected synonymous and nonsynonymous substitutions similarly. We also investigated the relationship of synonymous substitution rates with the nonsynonymous substitution rate, base composition, and codon bias in each lineage. Synonymous substitution rates were positively correlated with nonsynonymous substitution rates and GC content at third codon positions, but synonymous substitution rates were not correlated with codon bias. Finally, we tested the possibility of positive selection at the protein level, using maximum likelihood models, assuming heterogeneous nonsynonymous-synonymous rate ratios among codon (amino acid) sites. Although we did not detect strong evidence of positively selected codon sites, the analysis suggested that significant variation in nonsynonymous-synonymous rate ratio exists among the sites. The most likely sites for action of positive selection were found in the ferredoxin gene, which is an important component of the apparatus for photosynthesis.     

Molecular evolution of interleukin-3

Chimpanzee, tamarin, and marmoset interleukin-3 (IL-3) genes were cloned, sequenced, and expressed. Western blot analysis demonstrated that functional genes were isolated. IL-3 sequences were compared with those of mouse, rat, rhesus monkey, gibbon, and man. Multiple alignment of the IL-3 coding regions showed that only a few regions had been conserved during mammalian evolution, which are likely associated with functional domains of the IL-3 protein. Substitution rates for the various lineages were calculated and the numbers of synonymous and nonsynonymous substitutions were estimated separately. Distance matrices of the IL-3 coding regions were used to construct phylogenetic trees which revealed large differences in IL-3 evolution rate as well as a more rapid substitution rate for rodents and a rate slowdown during hominoid evolution. Extremes were rhesus monkey IL-3, which accumulated few synonymous substitutions, and gibbon IL-3, which had almost exclusively synonymous substitutions. In rhesus monkey IL-3, nonsynonymous substitutions outnumbered synonymous substitutions, which could not be readily explained by a random process of substitutions. We assume that during evolution of IL-3, the majority of the amino acid replacements and the impaired interspecies functional cross-reactivity originate from selection mechanisms with the most likely selective force being the structure of the heterodimeric IL-3 cell-surface receptor. Insight into IL-3 architecture and structural analysis of the IL-3 receptor are needed to analyze the unusually fast evolution of IL-3 in more detail.     

Substitution rates in Drosophila nuclear genes: implications for translational selection

The relationships between synonymous and nonsynonymous substitution rates and between synonymous rate and codon usage bias are important to our understanding of the roles of mutation and selection in the evolution of Drosophila genes. Previous studies used approximate estimation methods that ignore codon bias. In this study we reexamine those relationships using maximum-likelihood methods to estimate substitution rates, which accommodate the transition/transversion rate bias and codon usage bias. We compiled a sample of homologous DNA sequences at 83 nuclear loci from Drosophila melanogaster and at least one other species of Drosophila. Our analysis was consistent with previous studies in finding that synonymous rates were positively correlated with nonsynonymous rates. Our analysis differed from previous studies, however, in that synonymous rates were unrelated to codon bias. We therefore conducted a simulation study to investigate the differences between approaches. The results suggested that failure to properly account for multiple substitutions at the same site and for biased codon usage by approximate methods can lead to an artifactual correlation between synonymous rate and codon bias. Implications of the results for translational selection are discussed.     

Mammalian gene evolution: Nucleotide sequence divergence between mouse and rat

As a paradigm of mammalian gene evolution, the nature and extent of DNA sequence divergence between homologous protein-coding genes from mouse and rat have been investigated. The data set examined includes 363 genes totalling 411 kilobases, making this by far the largest comparison conducted between a single pair of species. Mouse and rat genes are on average 93.4% identical in nucleotide sequence and 93.9% identical in amino acid sequence. Individual genes vary substantially in the extent of nonsynonymous nucleotide substitution, as expected from protein evolution studies; here the variation is characterized. The extent of synonymous (or silent) substitution also varies considerably among genes, though the coefficient of variation is about four times smaller than for nonsynonymous substitutions. A small number of genes mapped to the X-chromosome have a slower rate of molecular evolution than average, as predicted if molecular evolution is male-driven. Base composition at silent sites varies from 33% to 95% G + C in different genes; mouse and rat homologues differ on average by only 1.7% in silent-site G + C, but it is shown that this is not necessarily due to any selective constraint on their base composition. Synonymous substitution rates and silent site base composition appear to be related (genes at intermediate G + C have on average higher rates), but the relationship is not as strong as in our earlier analyses. Rates of synonymous and nonsynonymous substitution are correlated, apparently because of an excess of substitutions involving adjacent pairs of nucleotides. Several factors suggest that synonymous codon usage in rodent genes is not subject to selection.     

Estimating absolute rates of synonymous and nonsynonymous nucleotide substitution in order to characterize natural selection and date species divergences

The rate of molecular evolution can vary among lineages. Sources of this variation have differential effects on synonymous and nonsynonymous substitution rates. Changes in effective population size or patterns of natural selection will mainly alter nonsynonymous substitution rates. Changes in generation length or mutation rates are likely to have an impact on both synonymous and nonsynonymous substitution rates. By comparing changes in synonymous and nonsynonymous rates, the relative contributions of the driving forces of evolution can be better characterized. Here, we introduce a procedure for estimating the chronological rates of synonymous and nonsynonymous substitutions on the branches of an evolutionary tree. Because the widely used ratio of nonsynonymous and synonymous rates is not designed to detect simultaneous increases or simultaneous decreases in synonymous and nonsynonymous rates, the estimation of these rates rather than their ratio can improve characterization of the evolutionary process. With our Bayesian approach, we analyze cytochrome oxidase subunit I evolution in primates and infer that nonsynonymous rates have a greater tendency to change over time than do synonymous rates. Our analysis of these data also suggests that rates have been positively correlated.     

An in-silico study of alphaherpesviruses ICP0 genes: positive selection or strong mutational GC-pressure?

The purpose of our work was to analyze the case of the strong mutational GC-pressure influence on the ratio between nonsynonymous (DN) and synonymous (DS) distances (DN/DS ratio). We have used as the material the genes coding for ICP0 from five completely sequenced genomes of simplexviruses. DN/DS ratio, total GC-content (G + C), and GC-content in first, second, and third codon positions (1GC, 2GC, and 3GC, respectively) have been calculated separately for exon 2, nonconserved part of exon 3, and conserved part of exon 3 from ICP0 genes. Results showed that DN is more than DS only in the conserved part of exon 3 of ICP0 genes from cercopithecine herpesvirus 2 and cercopithecine herpesvirus 16. However, the cause of this result (DN/DS = 2.54) is the GC-pressure acting on the coding districts with 3GC = 99% rather than the biological process called positive selection. Only in these two viruses, because of the strong GC-pressure, 3GC has reached 99% in the conserved part of ICP0 exon 3, and so nucleotide substitutions that increase the GC-content practically cannot occur in third codon positions, where most substitutions are synonymous. In this case, GC-pressure has a substrate for nucleotide substitutions only in first and second codon positions, where most substitutions are nonsynonymous.     

An analysis of determinants of amino acids substitution rates in bacterial proteins

The variation of amino acid substitution rates in proteins depends on several variables. Among these, the protein's expression level, functional category, essentiality, or metabolic costs of its amino acid residues may play an important role. However, the relative importance of each variable has not yet been evaluated in comparative analyses. To this aim, we made regression analyses combining data available on these variables and on evolutionary rates, in two well-documented model bacteria, Escherichia coli and Bacillus subtilis. In both bacteria, the level of expression of the protein in the cell was by far the most important driving force constraining the amino acids substitution rate. Subsequent inclusion in the analysis of the other variables added little further information. Furthermore, when the rates of synonymous substitutions were included in the analysis of the E. coli data, only the variable expression levels remained statistically significant. The rate of nonsynonymous substitution was shown to correlate with expression levels independently of the rate of synonymous substitution. These results suggest an important direct influence of expression levels, or at least codon usage bias for translation optimization, on the rates of nonsynonymous substitutions in bacteria. They also indicate that when a control for this variable is included, essentiality plays no significant role in the rate of protein evolution in bacteria, as is the case in eukaryotes.     

A new method for estimating synonymous and nonsynonymous rates of nucleotide substitution considering the relative likelihood of nucleotide and codon changes

A new method is proposed for estimating the number of synonymous and nonsynonymous nucleotide substitutions between homologous genes. In this method, a nucleotide site is classified as nondegenerate, twofold degenerate, or fourfold degenerate, depending on how often nucleotide substitutions will result in amino acid replacement; nucleotide changes are classified as either transitional or transversional, and changes between codons are assumed to occur with different probabilities, which are determined by their relative frequencies among more than 3,000 changes in mammalian genes. The method is applied to a large number of mammalian genes. The rate of nonsynonymous substitution is extremely variable among genes; it ranges from 0.004 X 10(-9) (histone H4) to 2.80 X 10(-9) (interferon gamma), with a mean of 0.88 X 10(-9) substitutions per nonsynonymous site per year. The rate of synonymous substitution is also variable among genes; the highest rate is three to four times higher than the lowest one, with a mean of 4.7 X 10(-9) substitutions per synonymous site per year. The rate of nucleotide substitution is lowest at nondegenerate sites (the average being 0.94 X 10(-9), intermediate at twofold degenerate sites (2.26 X 10(-9)). and highest at fourfold degenerate sites (4.2 X 10(-9)). The implication of our results for the mechanisms of DNA evolution and that of the relative likelihood of codon interchanges in parsimonious phylogenetic reconstruction are discussed.     

Molecular evolutionary rates of oncogenes

Summary Using nine sets of viral and cellular oncogenes, the rates of nucleotide substitutions were computed by using Gojobori and Yokoyama's (1985) method. The results obtained confirmed our previous conclusion that the rates of nucleotide substitution for the viral oncogenes are about a million times higher than those for their cellular counterparts. For cellular oncogenes and most viral oncogenes, however, the rate of synonymous substitution is higher than that of nonsynonymous substitution. Moreover, the pattern of nucleotide substitutions for viral oncogenes is more similar to that for functional genes (such as cellular oncongenes) than for pseudogenes. This implies that nucleotide substitutions in viral oncogenes may be functionally constrained. Thus, our observation supports that nucleotide substitutions for the oncogenes in those DNA and RNA genomes are consistent with Kimura's neutral theory of molecular evolution (Kimura 1968, 1983).     

Synonymous and Nonsynonymous Substitution Rates in Diatoms: A Comparison Between Chloroplast and Nuclear Genes

Rates of synonymous and nonsynonymous nucleotide substitutions and codon usage bias (ENC) were estimated for a number of nuclear and chloroplast genes in a sample of centric and pennate diatoms. The results suggest that DNA evolution has taken place, on an average, at a slower rate in the chloroplast genes than in the nuclear genes: a rate variation pattern similar to that observed in land plants. Synonymous substitution rates in the chloroplast genes show a negative association with the degree of codon usage bias, suggesting that genes with a higher degree of codon usage bias have evolved at a slower rate. While this relationship has been shown in both prokaryotes and multicellular eukaryotes, it has not been demonstrated before in diatoms. Received: 3 June 1998 / Accepted: 11 August 1998     

Patterns of nucleotide substitution among simultaneously duplicated gene pairs in Arabidopsis thaliana

We characterized rates and patterns of synonymous and nonsynonymous substitution in 242 duplicated gene pairs on chromosomes 2 and 4 of Arabidopsis thaliana. Based on their collinear order along the two chromosomes, the gene pairs were likely duplicated contemporaneously, and therefore comparison of genetic distances among gene pairs provides insights into the distribution of nucleotide substitution rates among plant nuclear genes. Rates of synonymous substitution varied 13.8-fold among the duplicated gene pairs, but 90% of gene pairs differed by less than 2.6-fold. Average nonsynonymous rates were approximately fivefold lower than average synonymous rates; this rate difference is lower than that of previously studied nonplant lineages. The coefficient of variation of rates among genes was 0.65 for nonsynonymous rates and 0.44 for synonymous rates, indicating that synonymous and nonsynonymous rates vary among genes to roughly the same extent. The causes underlying rate variation were explored. Our analyses tentatively suggest an effect of physical location on synonymous substitution rates but no similar effect on nonsynonymous rates. Nonsynonymous substitution rates were negatively correlated with GC content at synonymous third codon positions, and synonymous substitution rates were negatively correlated with codon bias, as observed in other systems. Finally, the 242 gene pairs permitted investigation of the processes underlying divergence between paralogs. We found no evidence of positive selection, little evidence that paralogs evolve at different rates, and no evidence of differential codon usage or third position GC content.     

Synonymous Substitutions in the Xdh Gene of Drosophila: Heterogeneous Distribution along the Coding Region

The Xdh (rosy) region of Drosophila subobscura has been sequenced and compared to the homologous region of D. pseudoobscura and D. melanogaster. Estimates of the numbers of synonymous substitutions per site (Ks) confirm that Xdh has a high synonymous substitution rate. The distributions of both nonsynonymous and synonymous substitutions along the coding region were found to be heterogeneous. Also, no relationship has been detected between Ks estimates and codon usage bias along the gene, in contrast with the generally observed relationship among genes. This heterogeneous distribution of synonymous substitutions along the Xdh gene, which is expression-level independent, could be explained by a differential selection pressure on synonymous sites along the coding region acting on mRNA secondary structure. The synonymous rate in the Xdh coding region is lower in the D. subobscura than in the D. pseudoobscura lineage, whereas the reverse is true for the Adh gene.     

Rates of Conservative and Radical Nonsynonymous Nucleotide Substitutions in Mammalian Nuclear Genes

To understand the process and mechanism of protein evolution, it is important to know what types of amino acid substitutions are more likely to be under selection and what types are mostly neutral. An amino acid substitution can be classified as either conservative or radical, depending on whether it involves a change in a certain physicochemical property of the amino acid. Assuming Kimura's two-parameter model of nucleotide substitution, I present a method for computing the numbers of conservative and radical nonsynonymous (amino acid altering) nucleotide substitutions per site and estimate these rates for 47 nuclear genes from mammals. The results are as follows. (1) The average radical/conservative rate ratio is 0.81 for charge changes, 0.85 for polarity changes, and 0.49 when both polarity and volume changes are considered. (2) The radical/conservative rate ratio is positively correlated with the nonsynonymous/synonymous rate ratio for charge changes or when both polarity and volume changes are considered. (3) Both the conservative/synonymous rate ratio and the radical/synonymous rate ratio are lower in the rodent lineage than in the primate or artiodactyl lineage, suggesting more intense purifying selection in the rodent lineage, for both conservative and radical nonsynonymous substitutions. (4) Neglecting transition/transversion bias would cause an underestimation of both radical and conservative rates and the ratio thereof. (5) Transversions induce more dramatic genetic alternations than transitions in that transversions produce more amino acid altering changes and among which, more radical changes. Received: 6 April 1999 / Accepted: 16 August 1999     

Molecular evolution of the histone 3 multigene family in the Drosophila melanogaster species subgroup

Molecular evolution of the histone multigene family was studied by cloning and sequencing regions of the histone 3 gene in the Drosophila melanogaster species subgroup. Analysis of the nucleotide substitution pattern showed that in the coding region synonymous changes occurred more frequently to A or T in contrast to the GC-rich base composition, while in the 3' region the nucleotide substitutions were most likely in equilibrium. These results suggested that the base composition at the third codon position of the H3 gene, i.e., codon usage, has been changing to A or T in the Drosophila melanogaster species subgroup.