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.     

Evolutionary models accounting for layers of selection in protein-coding genes and their impact on the inference of positive selection

The selective forces acting on a protein-coding gene are commonly inferred using evolutionary codon models by contrasting the rate of nonsynonymous substitutions to the rate of synonymous substitutions. These models usually assume that the synonymous substitution rate, Ks, is homogenous across all sites, which is justified if synonymous sites are free from selection. However, a growing body of evidence indicates that the DNA and RNA levels of protein-coding genes are subject to varying degrees of selective constraints due to various biological functions encoded at these levels. In this paper, we develop evolutionary models that account for these layers of selection by allowing for both among-site variability of substitution rates at the DNA/RNA level (which leads to Ks variability among protein-coding sites) and among-site variability of substitution rates at the protein level (Ka variability). These models are constructed so that positive selection is either allowed or not. This enables statistical testing of positive selection when variability at the DNA/RNA substitution rate is accounted for. Using this methodology, we show that variability of the baseline DNA/RNA substitution rate is a widespread phenomenon in coding sequence data of mammalian genomes, most likely reflecting varying degrees of selection at the DNA and RNA levels. Additionally, we use simulations to examine the impact that accounting for the variability of the baseline DNA/RNA substitution rate has on the inference of positive selection. Our results show that ignoring this variability results in a high rate of erroneous positive-selection inference. Our newly developed model, which accounts for this variability, does not suffer from this problem and hence provides a likelihood framework for the inference of positive selection on a background of variability in the baseline DNA/RNA substitution rate.     

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.     

Chromosomal location effects on gene sequence evolution in mammals.

BACKGROUND: Nucleotide substitution rates and G + C content vary considerably among mammalian genes. It has been proposed that the mammalian genome comprises a mosaic of regions - termed isochores - with differing G + C content. The regional variation in gene G + C content might therefore be a reflection of the isochore structure of chromosomes, but the factors influencing the variation of nucleotide substitution rate are still open to question. RESULTS: To examine whether nucleotide substitution rates and gene G + C content are influenced by the chromosomal location of genes, we compared human and murid (mouse or rat) orthologues known to belong to one of the chromosomal (autosomal) segments conserved between these species. Multiple members of gene families were excluded from the dataset. Sets of neighbouring genes were defined as those lying within 1 centiMorgan (cM) of each other on the mouse genetic map. For both synonymous substitution rates and G + C content at silent sites, neighbouring genes were found to be significantly more similar to each other than sets of genes randomly drawn from the dataset. Moreover, we demonstrated that the regional similarities in G + C content (isochores) and synonymous substitution rate were independent of each other. CONCLUSIONS: Our results provide the first substantial statistical evidence for the existence of a regional variation in the synonymous substitution rate within the mammalian genome, indicating that different chromosomal regions evolve at different rates. This regional phenomenon which shapes gene evolution could reflect the existence of 'evolutionary rate units' along the chromosome.     

Synonymous substitution rates in Drosophila: Mitochondrial versus nuclear genes

Synonymous substitution rates in mitochondrial and nuclear genes of Drosophila were compared. To make accurate comparisons, we considered the following: (1) relative synonymous rates, which do not require divergence time estimates, should be used; (2) methods estimating divergence should take into account base composition; (3) only very closely related species should be used to avoid effects of saturation; (4) the heterogeneity of rates should be examined. We modified the methods estimating synonymous substitution numbers to account for base composition bias. By using these methods, we found that mitochondrial genes have 1.7–3.4 times higher synonymous substitution rates than the fastest nuclear genes or 4.5–9.0 times higher rates than the average nuclear genes. The average rate of synonymous transversions was 2.7 (estimated from the melanogaster species subgroup) or 2.9 (estimated from the obscura group) times higher in mitochondrial genes than in nuclear genes. Synonymous transversions in mitochondrial genes occurred at an approximately equivalent rate to those in the fastest nuclear genes. This last result is not consistent with the hypothesis that the difference in turnover rates between mitochondrial and nuclear genomes is the major factor determining higher synonymous substitution rates in mtDNA. We conclude that the difference in synonymous substitution rates is due to a combination of two factors: a higher transitional mutation rate in mtDNA and constraints on nuclear genes due to selection for codon usage. Received: 27 November 1996 / Accepted: 8 May 1997     

Gene location and bacterial sequence divergence

Previous comparison of a relatively small set of homologous genes from Escherichia coli and Salmonella typhimurium revealed that genes nearer to the origin of replication had substitution rates lower than genes closer to the replication terminus. The recently completed sequences of numerous bacterial genomes have allowed us to test whether this effect of distance from the replication origin on substitution rates, as observed for the E. coli-S. typhimurium comparison, is a general feature of bacterial genomes. Extending the analysis to all 3,000 E. coli-S. typhimurium homologs confirmed the significant association between chromosomal position and synonymous site divergence. However, the effect, though still significant, is not as dramatic as originally thought. A similar association between relative chromosomal location and synonymous substitution rate was detected in the majority of other bacterial species comparisons within alpha- and gamma- Proteobacteria, and Firmicutes but was absent in Chlamydiales. The opposite trend, i.e., a decrease in synonymous divergence with distance from the replication origin, was detected in Mycobacteria. Analysis of the patterns of nucleotide substitutions revealed that the distance effect is not affected by gene orientation and is mainly caused by an increase in rates of transversions, suggesting that this effect may not be caused by recombinational repair or biased gene conversion, as originally suggested.     

A compositional segmentation of the human mitochondrial genome is related to heterogeneities in the guanine mutation rate

We applied a hidden Markov model segmentation method to the human mitochondrial genome to identify patterns in the sequence, to compare these patterns to the gene structure of mtDNA and to see whether these patterns reveal additional characteristics important for our understanding of genome evolution, structure and function. Our analysis identified three segmentation categories based upon the sequence transition probabilities. Category 2 segments corresponded to the tRNA and rRNA genes, with a greater strand-symmetry in these segments. Category 1 and 3 segments covered the protein- coding genes and almost all of the non-coding D-loop. Compared to category 1, the mtDNA segments assigned to category 3 had much lower guanine abundance. A comparison to two independent databases of mitochondrial mutations and polymorphisms showed that the high substitution rate of guanine in human mtDNA is largest in the category 3 segments. Analysis of synonymous mutations showed the same pattern. This suggests that this heterogeneity in the mutation rate is partly independent of respiratory chain function and is a direct property of the genome sequence itself. This has important implications for our understanding of mtDNA evolution and its use as a ‘molecular clock’ to determine the rate of population and species divergence.     

Molecular evolution of the ent-kaurenoic acid oxidase gene in Oryzeae

We surveyed the substitution patterns in the ent-kaurenoic acid oxidase (KAO) gene in 11 species of Oryzeae with an outgroup in the Ehrhartoidaea. The synonymous and non-synonymous substitution rates showed a high positive correlation with each other, but were negatively correlated with codon usage bias and GC content at third codon positions. The substitution rate was heterogenous among lineages. Likelihood-ratio tests showed that the non-synonymous/synonymous rate ratio changed significantly among lineages. Site-specific models provided no evidence for positive selection of particular amino acid sites in any codon of the KAO gene. This finding suggested that the significant rate heterogeneity among some lineages may have been caused by variability in the relaxation of the selective constraint among lineages or by neutral processes.     

Synonymous and Nonsynonymous Substitutions in Mammalian Genes: Intragenic Correlations

Previous investigations indicated that synonymous and nonsynonymous substitution rates are correlated in mammalian genes. In the present work, this correlation has been studied at the intragenic level using a dataset of 48 orthologous genes from species belonging to at least four different mammalian orders. The results obtained show that the intragenic variability in synonymous rates is correlated with that of nonsynonymous rates. Moreover, the variation in GC level (and especially of C level) of silent positions along each gene is correlated with the variation in synonymous rate. These results reinforce the previous conclusions that synonymous and nonsynonymous rates as well as GC levels of silent positions are to some extent under common selective constraints. Received: 10 July 1997 / Accepted: 13 August 1997     

DNA variability and divergence at the notch locus in Drosophila melanogaster and D. simulans: a case of accelerated synonymous site divergence

DNA diversity in two segments of the Notch locus was surveyed in four populations of Drosophila melanogaster and two of D. simulans. In both species we observed evidence of non-steady-state evolution. In D. simulans we observed a significant excess of intermediate frequency variants in a non-African population. In D. melanogaster we observed a disparity between levels of sequence polymorphism and divergence between one of the Notch regions sequenced and other neutral X chromosome loci. The striking feature of the data is the high level of synonymous site divergence at Notch, which is the highest reported to date. To more thoroughly investigate the pattern of synonymous site evolution between these species, we developed a method for calibrating preferred, unpreferred, and equal synonymous substitutions by the effective (potential) number of such changes. In D. simulans, we find that preferred changes per "site" are evolving significantly faster than unpreferred changes at Notch. In contrast we observe a significantly faster per site substitution rate of unpreferred changes in D. melanogaster at this locus. These results suggest that positive selection, and not simply relaxation of constraint on codon bias, has contributed to the higher levels of unpreferred divergence along the D. melanogaster lineage at Notch.     

Codon equilibrium II: Its use in estimating silent-substitution rates

We study the equilibrium in the use of synonymous codons by eukaryotic organisms and find five equations involving substitution rates that we believe embody the important implications of equilibrium for the process of silent substitution. We then combine these five equations with additional criteria to determine sets of substitution rates applicable to eukaryotic organisms. One method employs the equilibrium equations and a principle of maximum entropy to find the most uniform set of rates consistent with equilibrium. In a second method we combine the equilibrium equations with data on the man-mouse divergence to determine that set of rates that is most neutral yet consistent with both types of data (i.e., equilibrium and divergence data). Simulations show this second method to be quite reliable in spite of significant saturation in the substitution process. We find that when divergence data are included in the calculation of rates, even though these rates are chosen to be as neutral as possible, the strength of selection inferred from the nonuniformity of the rates is approximately doubled. Both sets of rates are applied to estimate the human-mouse divergence time based on several independent subsets of the divergence data consisting of the quartet, C- or T-ending duet, and A- or G-ending duet codon sets. Both rate sets produce patterns of divergence times that are shortest for the quartet data, intermediate for the CT-ending duets, and longest for the AG-ending duets. This indicates that rates of transitions in the duet-codon sets are significantly higher than those in the quartet-codon sets; this effect is especially marked for A----G, the rate of which in duets must be about double that in quartets.     

Rapid evolution in a pair of recent duplicate segments of rice

Gene duplication has been considered the most important way of generating genetic novelties. The subsequent evolution right after gene duplication is critical for new function to occur. Here we analyzed the evolutionary pattern for a recently duplicated segment between rice chromosomes 11 and 12. This duplication event was estimated to occur about 6 million years ago, during the divergence of the B- and C-genome rice species. The duplicate segment in chromosome 12 has significantly higher frequency of sequence rearrangement rate than non-duplicated regions. The rearrangement rate is approximately 6.5 breakages/Mb per million years, about six times higher than the fastest rate ever reported in eukaryotes. The genes within both segments experienced accelerated nucleotide substitution rates revealed by synonymous (Ks) and non-synonymous divergence (Ka) between Oryza sativa indica and O. sativa japonica. Analysis using EST data also implicates rapid divergence in expression between these segmental duplicate genes. These overall rapid changes from different perspective for the first time provide evidence that relaxation of selection also occurs in large-scale duplications.     

Substitution rates in a new Silene latifolia sex-linked gene, SlssX/Y

Dioecious white campion Silene latifolia has sex chromosomal sex determination, with homogametic (XX) females and heterogametic (XY) males. This species has become popular in studies of sex chromosome evolution. However, the lack of genes isolated from the X and Y chromosomes of this species is a major obstacle for such studies. Here, I report the isolation of a new sex-linked gene, Slss, with strong homology to spermidine synthase genes of other species. The new gene has homologous intact copies on the X and Y chromosomes (SlssX and SlssY, respectively). Synonymous divergence between the SlssX and SlssY genes is 4.7%, and nonsynonymous divergence is 1.4%. Isolation of a homologous gene from nondioecious S. vulgaris provided a root to the gene tree and allowed the estimation of the silent and replacement substitution rates along the SlssX and SlssY lineages. Interestingly, the Y-linked gene has higher synonymous and nonsynonymous substitution rates. The elevated synonymous rate in the SlssY gene, compared with SlssX, confirms our previous suggestion that the S. latifolia Y chromosome has a higher mutation rate, compared with the X chromosome. When differences in silent substitution rate are taken into account, the Y-linked gene still demonstrates significantly faster accumulation of nonsynonymous substitutions, which is consistent with the theoretical prediction of relaxed purifying selection in Y-linked genes, leading to the accumulation of nonsynonymous substitutions and genetic degeneration of the Y-linked genes.     

Codon equilibrium II: Its use in estimating silent-substitution rates

Summary We study the equilibrium in the use of synonymous codons by eukaryotic organisms and find five equations involving substitution rates that we believe embody the important implications of equilibrium for the process of silent substitution. We then combine these five equations with additional criteria to determine sets of substitution rates applicable to eukaryotic organisms. One method employs the equilibrium equations and a principle of maximum entropy to find the most uniform set of rates consistent with equilibrium. In a second method we combine the equilibrium equations with data on the man-mouse divergence to determine that set of rates that is most neutral yet consistent with both types of data (i.e., equilibrium and divergence data). Simulations show this second method to be quite reliable in spite of significant saturation in the substitution process. We find that when divergence data are included in the calculation of rates, even though these rates are chosen to be as neutral as possible, the strength of selection inferred from the nonuniformity of the rates is approximately doubled. Both sets of rates are applied to estimate the human-mouse divergence time based on several independent subsets of the divergence data consisting of the quartet, C- or T-ending duet, and A- or G-ending duet codon sets. Both rate sets produce patterns of divergence times that are shortest for the quartet data, intermediate for the CT-ending duets, and longest for the AG-ending duets. This indicates that rates of transitions in the duet-codon sets are significantly higher than those in the quartet-codon sets; this effect is especially marked for AG, the rate of which in duets must be about double that in quartets.     

Pericentromeric effects shape the patterns of divergence, retention, and expression of duplicated genes in the paleopolyploid soybean

The evolutionary forces that govern the divergence and retention of duplicated genes in polyploids are poorly understood. In this study, we first investigated the rates of nonsynonymous substitution (Ka) and the rates of synonymous substitution (Ks) for a nearly complete set of genes in the paleopolyploid soybean (Glycine max) by comparing the orthologs between soybean and its progenitor species Glycine soja and then compared the patterns of gene divergence and expression between pericentromeric regions and chromosomal arms in different gene categories. Our results reveal strong associations between duplication status and Ka and gene expression levels and overall low Ks and low levels of gene expression in pericentromeric regions. It is theorized that deleterious mutations can easily accumulate in recombination-suppressed regions, because of Hill-Robertson effects. Intriguingly, the genes in pericentromeric regions-the cold spots for meiotic recombination in soybean-showed significantly lower Ka and higher levels of expression than their homoeologs in chromosomal arms. This asymmetric evolution of two members of individual whole genome duplication (WGD)-derived gene pairs, echoing the biased accumulation of singletons in pericentromeric regions, suggests that distinct genomic features between the two distinct chromatin types are important determinants shaping the patterns of divergence and retention of WGD-derived genes.     

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.     

Rates of Synonymous Substitution and Base Composition of Nuclear Genes in Drosophila

We compared the rates of synonymous (silent) substitution among various genes in a number of species of Drosophila. First, we found that even for a particular gene, the rate of synonymous substitution varied considerably with Drosophila lineages. Second, we showed a large variation in synonymous substitution rates among nuclear genes in Drosophila. These rates of synonymous substitution were correlated negatively with C content and positively with A content at the third codon positions. Nucleotide sequences were also compared between pseudogenes and their functional homologs. The C content of the pseudogenes was lower than that of the functional genes and the A content of the former was higher than that of the latter. Because the synonymous substitution for functional genes and the nucleotide substitution for pseudogenes are exempted from any selective constraint at the protein level, these observations could be explained by a biased pattern of mutation in the Drosophila nuclear genome. Such a bias in the mutation pattern may affect the molecular clock (local clock) of each nuclear gene of each species. Finally, we obtained the average rates of synonymous substitution for three gene groups in Drosophila; 11.0 x 10(-9), 17.5 x 10(-9) and 27.1 x 10(-9)/site/year.     

Synonymous rates at the RpII215 gene of Drosophila: variation among species and across the coding region

The region encompassing the RpII215 gene that encodes the largest component of the RNA polymerase II complex (1889 amino acids) has been sequenced in Drosophila subobscura, D. madeirensis, D. guanche, and D. pseudoobscura. Nonsynonymous divergence estimates (Ka) indicate that this gene has a very low rate of amino acid replacements. Given its low Ka and constitutive expression, synonymous substitution rates are, however, unexpectedly high. Sequence comparisons have allowed the molecular clock hypothesis to be tested. D. guanche is an insular species and it is therefore expected to have a reduced effective size relative to D. subobscura. The significantly higher rate of synonymous substitutions detected in the D. guanche lineage could be explained if synonymous mutations behave as nearly neutral. Significant departure from the molecular clock hypothesis for synonymous and nonsynonymous substitutions was detected when comparing the D. subobscura, D. pseudoobscura, and D. melanogaster lineages. Codon bias and synonymous divergence between D. subobscura and D. melanogaster were negatively correlated across the RpII215 coding region, which indicates that selection coefficients for synonymous mutations vary across the gene. The C-terminal domain (CTD) of the RpII215 protein is structurally and functionally differentiated from the rest of the protein. Synonymous substitution rates were significantly different in both regions, which strongly indicates that synonymous mutations in the CTD and in the non-CTD regions are under detectably different selection coefficients.     

Similarity of Synonymous Substitution Rates Across Mammalian Genomes

Given that a gene has a high (or low) synonymous substitution rate in one mammalian species, will it also have a high (or low) synonymous substitution rate in another mammalian species? Such similarities in the rate of synonymous substitution can reveal both selective pressures and neutral processes acting on mammalian gene sequences; however, the existence of such an effect has been a matter of disagreement. We resolve whether such synonymous substitution rate similarities exist using 7462 ortholog triplets aligned across rat, mouse, and human, a dataset two orders of magnitude larger than previous studies. We find that a gene’s synonymous substitution rate in the rat-mouse branch of the phylogeny is correlated with its rate in the branch connecting human and the rat-mouse ancestor. We confirm this for several different measures of synonymous substitution rate, including corrections for base composition and CpG dinucleotides, and we verify the results in the larger mouse-human-rat-dog phylogeny. This similarity of rates is most apparent for genes in which synonymous sites are well conserved across species, suggesting that a significant component of the effect is due to purifying selection. We observe rate correlations at a resolution as fine as a few hundred kilobases, and the genes with the most similar synonymous substitution rates are enriched for regulatory functions. Genes with above-average substitution rates also exhibit significant, though somewhat weaker, rate correlations, suggesting that some neutral processes may have persisted in the phylogeny as well.