Genetics, Vol. 153, 1285-1296, November 1999, Copyright © 1999

Local Recombination and Mutation Effects on Molecular Evolution in Drosophila

Toshiyuki Takano-Shimizua
a Department of Population Genetics, National Institute of Genetics, Mishima, Shizuoka-ken 411-8540, Japan

Corresponding author: Toshiyuki Takano-Shimizu, totakano{at}lab.nig.ac.jp (E-mail)

Communicating editor: J. HEY


*  ABSTRACT
*TOP
*ABSTRACT
*MATERIALS AND METHODS
*RESULTS
*DISCUSSION
*LITERATURE CITED

I studied the cause of the significant difference in the synonymous-substitution pattern found in the achaete-scute complex genes in two Drosophila lineages, higher codon bias in Drosophila yakuba, and lower bias in D. melanogaster. Besides these genes, the functionally unrelated yellow gene showed the same substitution pattern, suggesting a region-dependent phenomenon in the X-chromosome telomere. Because the numbers of A/T -> G/C substitutions were not significantly different from those of G/C -> A/T in the yellow noncoding regions of these species, a AT/GC mutational bias could not completely account for the synonymous-substitution biases. In contrast, we did find an ~14-fold difference in recombination rates in the X-chromosome telomere regions between the two species, suggesting that the reduction of recombination rates in this region resulted in the reduction of the efficacy of selection in D. melanogaster. In addition, the D. orena yellow showed a 5% increase in the G + C content at silent sites in the coding and noncoding regions since the divergence from D. erecta. This pattern was significantly different from those at the orena Adh and Amy loci. These results suggest that local changes in recombination rates and mutational pressures are contributing to the irregular synonymous-substitution patterns in Drosophila.


DELETERIOUS mutations arise at much higher rates than advantageous and compensatory mutations (CHAO 1990 Down; DUARTE et al. 1992 Down; RICE 1994 Down; ANDERSSON and HUGHES 1996 Down), indicating the importance of the effective elimination of deleterious mutations from a population. Linkage associations between selective loci reduce the efficacy of natural selection (the so-called Hill-Robertson effect; HILL and ROBERTSON 1966 Down; FELSENSTEIN 1974 Down), and thus recombination rates affect accumulation rates of deleterious and advantageous mutations (BIRKY and WALSH 1988 Down; CHARLESWORTH 1994 Down; PECK 1994 Down; BARTON 1995 Down). Indeed, a positive relationship exists between within-species DNA variation and recombination rates (AGUADE et al. 1989 Down; STEPHAN and LANGLEY 1989 Down, STEPHAN and LANGLEY 1998 Down; BEGUN and AQUADRO 1992 Down; NACHMAN 1997 Down; DVORBAK et al. 1998 Down). However, most of the studies suggesting the significant role of recombination in between-species DNA divergence are based on comparisons among different genes or among very divergent organisms or genomes (KLIMAN and HEY 1993 Down; LYNCH 1997 Down; MUNTE et al. 1997 Down), which does not necessarily guarantee a constant selective pressure. It is highly desirable to examine the role of recombination in molecular evolution more directly.

Three findings support the hypothesis that most synonymous changes in unicellular organisms are not strictly neutral but under weak selection. First, the usage of synonymous codons is clearly nonrandom and species specific (GRANTHAM et al. 1980 Down). Second, the most frequently used codons in Escherichia coli and yeast correspond to the most abundant isoaccepting tRNA species (IKEMURA 1981A Down, IKEMURA 1982 Down), and the degree of codon bias of a gene is positively correlated with the cellular amount of its mRNA or protein (IKEMURA 1981B Down; BENNETZEN and HALL 1982 Down). Third, the synonymous-substitution rate in Enterobacteriaceae is negatively correlated with the degree of codon bias (SHARP and LI 1986 Down). Although mutational bias affects base composition to some extent (CARULLI et al. 1993 Down; KLIMAN and HEY 1994 Down; KLIMAN and EYRE-WALKER 1998 Down), the data in Drosophila also provide evidence for selective constraints acting on codon usage (SHIELDS et al. 1988 Down; SHARP and LI 1989 Down; AKASHI 1994 Down, AKASHI 1995 Down; MORIYAMA and POWELL 1997 Down). In particular, AKASHI 1995 Down estimated the product of the degree of selection intensity and the effective population size as about 2 in Drosophila simulans.

Two recent articles reported that significant locus-lineage interaction exists in the synonymous-substitution rates among Drosophila lineages (TAKANO 1998 Down; ZENG et al. 1998 Down). What is more, Takano's findings suggest a higher codon bias in the yakuba achaete-scute complex (AS-C) genes than in their melanogaster–simulans homologues. Following Akashi's method (AKASHI 1994 Down), TAKANO 1998 Down calculated the numbers of homologous codons at which D. yakuba encodes a major codon and the common ancestor of D. melanogaster and D. simulans encodes a nonmajor codon (ymajmsnon), and similarly for the opposite configuration (ynonmsmaj). Major codons are the ones that appear in greater frequency in highly biased genes (AKASHI 1995 Down). These numbers were then used to obtain a ratio that would indicate codon-bias difference between the species. The ratio (ymajmsnon/ynonmsmaj) was significantly higher in the four AS-C genes in the telomeric region of the X chromosome than in the other nine genes studied (TAKANO 1998 Down).

A lack of outgroup species sequences, however, prevented the inference of direction of the substitutions; it thus could not be determined if there was a relaxation of codon bias in the melanogaster lineage or an increase in bias in the yakuba lineage. Another question is whether the change in selection intensity is specific to these functionally related AS-C genes or specific to this region. To answer these questions, I determined the DNA sequences of the two AS-C genes of D. erecta, and the yellow (y) sequences of D. simulans, D. yakuba, D. teissieri, D. erecta, and D. orena. Most of the previous studies suggest that D. erecta and D. orena are more distantly related to D. melanogaster than D. yakuba, as illustrated in Figure 1 (SOLIGNAC et al. 1986 Down; CARIOU 1987 Down; JEFFS et al. 1994 Down; SHIBATA and YAMAZAKI 1995 Down). The y gene is located distally to the AS-C genes and is functionally unrelated to the AS-C genes. The results suggest a region-dependent substitution pattern. I also present evidence that D. yakuba has ~14 times higher recombination rates in the telomeric region of the X chromosome than D. melanogaster. It is posited that this difference results in very biased substitutions in the two lineages—a relaxation of purifying selection in the melanogaster lineage and a manifestation of positive selection in the yakuba lineage. Furthermore, this study reveals extremely GC-biased substitutions at the orena y locus. The yakuba lineage showed a significant difference in the AT/GC bias between the y coding and noncoding silent substitutions; the orena branch showed no significant difference in the substitution pattern between the coding and noncoding regions, but there were significant differences between y and two autosomal genes (Adh and Amy), suggesting a local mutation effect in the orena branch.



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Figure 1. Assumed phylogenetic relationships (cladogram) among the six Drosophila species. There are nine branches: three internal branches, the mel–sim (node D to A), yak–tei (node D to B), and ere–ore (node D to C) and six terminal branches, the melanogaster, simulans, yakuba, teissieri, erecta, and orena.


*  MATERIALS AND METHODS
*TOP
*ABSTRACT
*MATERIALS AND METHODS
*RESULTS
*DISCUSSION
*LITERATURE CITED

DNA sequence:
Directly from the products of the polymerase chain reaction (PCR), I determined the following sequences: the yellow (y) and extramacrochaetae (emc) sequences of a single male fly of D. yakuba (stock no. 14021-0261.0 from the National Drosophila Species Resource Center at Bowling Green, Ohio); the y, lethal of scute (l'sc), and achaete (ac) of a single male of D. erecta (a stock was provided by N. Inomata); the y sequences of a highly inbred line of D. simulans [Sim-5 (G20)], a single male fly of D. teissieri (a stock was provided by N. Inomata), and a single male of D. orena (a stock was provided by C. C. Laurie). The primer sequences are available upon request. The sequence data appear in the DNA Data Bank of Japan, European Molecular Biology Laboratory, and GenBank sequence databases with the following accession numbers: from AB017569 through AB017577 and from AB026336 through AB026344. The other sequences used were derived from previous research (GEYER et al. 1986 Down; GEYER and CORCES 1987 Down; VILLARES and CABRERA 1987 Down; ALONSO and CABRERA 1988 Down; GARRELL and MODOLELL 1990 Down; MARTIN-CAMPOS et al. 1992 Down; TAKANO 1998 Down). Four ac and four l'sc sequences from D. melanogaster, D. simulans, D. yakuba, and D. erecta and six y sequences including D. teissieri and D. orena were aligned using CLUSTALW (THOMPSON et al. 1994 Down), and the alignments were modified by eye in some cases. Gaps and regions with alignment difficulty were excluded from the analysis. Lengths of alignments are 1290 bp for the y second exon sequences, 525 bp for the 5' flanking sequences of the y, 205 bp for the y intron sequences, 771 bp for the entire l'sc coding sequences, 606 bp for the entire ac coding sequences, and 535 bp for the partial emc coding sequences. The Adh and Amy proximal sequences of the same six species were analyzed with the published alignments except for two cases of the 3' regions of the Adh and Amy (JEFFS et al. 1994 Down; SHIBATA and YAMAZAKI 1995 Down).

The numbers of substitutions on each branch were counted on the basis of the following parsimonious assumptions, without correction. The phylogenetic relationships among the six species are depicted in Figure 1, which is supported by most previous studies (e.g., JEFFS et al. 1994 Down). The nucleotides at the nodes were estimated as those that require the smallest number of total substitutions, and sites at which any node nucleotide could not be determined uniquely were excluded. The numbers of silent sites excluded were 3 at ac, 0 at l'sc, 14 at y, 21 at Adh, and 10 at Amy. In addition, two substitutions in the mel–sim branch occurred in one codon of the y gene. Because two different pathways had roughly equal weights calculated according to MIYATA and YASUNAGA 1980 Down(0.54 for the pathway to require one synonymous and one replacement substitution vs. 0.46 for the other to require two replacement substitutions), these substitutions were also excluded from the analysis.

I used Akashi's classification of synonymous substitutions: preferred substitution (which means substitutions from a nonmajor codon to a major codon), unpreferred substitution from a major codon to a nonmajor codon, and the others (AKASHI 1995 Down).

In situ hybridization:
In situ hybridization with digoxigenin-labeled probes was performed on the salivary gland chromosomes. The genomic DNA of the three species was labeled via PCR using the following primers: 5'-TTTACTTGCGGCGATGGTCA-3' and 5'-AGGTGGCTTATGCTGTTCCC-3' for the y locus, 5'-CGACTGCGACAAGGTGAGCAC-3' and 5'-GGAAGTGGAGGCTGCCGACTG-3' for su(wa), and 5'-AGGAGGACGACATCACCAAGA-3' and 5'-CAACGGTCTCGGCGGCAACCT-3' for sta. These primers were designed from the published sequences, GenBank accession nos. X06481 (GEYER and CORCES 1987 Down), X06589 (CHOU et al. 1987 Down), and M90422 (MELNICK et al. 1993 Down).

Measuring recombination frequency:
I used three lines for each species: y white (w) stock and two isofemale lines for D. melanogaster (one collected in Australia and the other collected in West Africa); y w stock and two inbred lines for D. simulans (one collected in Congo and the other collected in Madagascar); and three isofemale lines for D. yakuba, one from the National Drosophila Species Resource Center at Bowling Green, Ohio (stock no. 14021-0261.0, yak-1 in this article) and two from Umeå Drosophila Stock Center, Umeå, Sweden (stock nos. S180 and S181). Using these lines, two different G0 crosses with reciprocal crosses were done to make F1 females for each of the three species. For D. melanogaster and D. simulans, these F1 females were backcrossed to the parental y w stocks with two replications; for D. yakuba, they were crossed separately to two out of the three stocks used as parental stocks. The same G1 crosses were repeated twice on different days. Thus, I made 48 crosses: 2 different G0 crosses x 2 reciprocal crosses x 2 replications x 2 different days x 3 species, within 5 days. Five-day-old virgin F1 females were crossed to 2- to 6-day-old males in a vial. The next day, all the parental flies were transferred to a new bottle and discarded 5 days later. All the emerging flies from the bottles were counted every day after the 11th or 12th day from transfer, except for 2 days. Because of fecundity differences among the three species, each cross had a different number of flies: 5 pairs of flies for D. melanogaster, 10 pairs for D. simulans, and 8 pairs for D. yakuba. The mean numbers of F2 flies per bottle were 881 for D. melanogaster, 670 for D. simulans, and 795 for D. yakuba. All the crosses were done at 22°.

Single-strand conformation polymorphism (SSCP; ORITA et al. 1989 Down) and length-polymorphism markers were developed for the y, su(wa), and sta loci, but visible mutations were used for the y and w loci of D. melanogaster and D. simulans. An SSCP marker was also made for the w locus of D. melanogaster to confirm genotypes of some males. Table 1 summarizes the primer sequences and the genotype-determining methods. Because of failure of amplification of the yakuba sta-1 fragments for some template DNAs, the sta-2 primers were designed and used for amplification of these DNAs and the genotype of all recombinants was determined using the sta-2 primers as well as the sta-1. Each of the nine parental fly stocks was originated from single-pair mating and homozygous for the markers used. The su(wa) primers for D. melanogaster were designed from the published sequence, GenBank accession number X06589 (CHOU et al. 1987 Down), the sta primers except for the yakuba sta-2 from M90422 (MELNICK et al. 1993 Down), and the others from our sequence data (data not shown). The polymerase chain reaction was done in a total volume of 10 µl including 1 unit of AmpliTaq Gold (Roche Molecular Systems, Branchburg, NJ). SSCP of amplification products was analyzed on 5–20% gradient polyacrylamide gels run at ~5° in a buffer circulation system (AE-6370; Atto, Tokyo) as in HONGYO et al. 1993 Down; the length polymorphism was analyzed on 3% Agarose-21 gels (Nippon Gene, Toyama, Japan).


 
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Table 1. Summary of the markers

I determined only F2 male genotypes from the molecular markers because typing of X-chromosome markers was easier for males than females. This probably did not affect the results seriously because no significant F2 sex difference was found in the recombination fraction for the y and w loci for D. melanogaster (83/6854 in males and 105/7245 in females) and D. simulans (97/5159 in males and 104/5566 in females) and because there was no significant difference between the numbers of F2 males and F2 females for D. yakuba (6302 males and 6422 females). Genotypes were determined for all melanogaster and simulans recombinants between the y and w loci, except for four accidental losses of simulans recombinants and neglected double crossovers between the y and w; genotypes were determined for randomly chosen yakuba F2 males, 40 to 47 males from each bottle.


*  RESULTS
*TOP
*ABSTRACT
*MATERIALS AND METHODS
*RESULTS
*DISCUSSION
*LITERATURE CITED

Synonymous-substitution bias in the melanogaster and yakuba lineages:
Using the D. erecta sequences as an outgroup, I estimated the number of synonymous substitutions along the melanogaster and yakuba lineages at the y, ac, and l'sc loci. The results indicated an accumulation both of unpreferred synonymous substitutions in the mel–sim and melanogaster branches and of preferred ones in the yak–tei and yakuba branches (Table 2). Although there was no evidence for a relaxation of codon bias in the melanogaster lineage at y, the ratio of the number of preferred substitutions to that of unpreferred substitutions was significantly higher in the yak–tei + yakuba branches than the mel–sim + melanogaster branches (P from Fisher's exact test < 0.01, for 18 and 1 vs. 11 and 8). The same result was obtained for the pooled data of the ac and l'sc genes (P < 0.001, G' with Williams' correction = 17.6, for 18 and 5 vs. 7 and 25). Together with a lack of substitution bias in the nine genes from other genomic regions in the (yakuba + yaktei + melsim; TAKANO 1998 Down), the findings suggest region-specific changes in substitution pattern.


 
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Table 2. Biased synonymous-substitution pattern in D. melanogaster, D. yakuba, and D. erecta

The substitutions at the emc gene on the third chromosome did not support a function-dependent-change hypothesis either. emc functions as an antagonist to the AS-C genes and there are dosage-sensitive interactions between emc and the proneural genes such as ac and sc (MOSCOSO DEL PRADO and GARCIA-BELLIDO 1984 Down; ELLIS et al. 1990 Down; GARRELL and MODOLELL 1990 Down). Selection intensity acting on the AS-C genes might have changed between the two species, still keeping a balance between the expression levels of the AS-C and emc genes. Under this hypothesis, we expect the same substitution pattern at the emc gene as the AS-C genes; however, the number of homologous codons at which D. melanogaster encodes a major codon and D. yakuba encodes a nonmajor codon was almost the same as the number of codons in the opposite configuration (nine and eight, respectively), implying a lack of substitution bias at this locus.

Taken together, the present results suggest that the biased synonymous-substitution pattern was a region-dependent phenomenon in the X-chromosome telomere and not specific to functionally related genes.

AT/GC mutational bias at the y locus:
Because all the major codons are C- or G-ending codons (AKASHI 1995 Down), a hypothesis to explain the above results is that there is A/T -> G/C (A or T to G or C) mutational bias in the yakuba lineage and G/C -> A/T mutational bias in the melanogaster lineage, specifically in the telomeric region of the X chromosome. Comparing AT/GC biases between the coding and noncoding regions of the y gene, I examined mutational biases and their relationship with codon-usage biases. Table 3 reveals an absence of AT/GC-biased substitutions in the 5' flanking region and the intron both in the mel–sim, melanogaster, and simulans branches and in yak–tei, yakuba, and teissieri. This table also reveals a significant heterogeneity in the numbers of A/T -> G/C silent substitutions and the reverse between the coding and the noncoding regions in the yakuba and teissieri lineages. The data thus contradicted the AT/GC-biased mutation hypothesis.


 
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Table 3. Lack of mutational bias in the noncoding regions at the yellow locus

Unexpectedly, the orena y locus showed extremely GC-biased substitutions, which has increased the G + C content at silent sites by ~5% since the divergence from D. erecta (Table 4). The ratio of the number of A/T -> G/C substitutions to the number of the reverse in the orena branch was significantly different from those at Adh (P from Fisher's exact test <0.01, for 54 and 3 vs. 13 and 6) and Amy loci (P from Fisher's exact test <10-6, for 54 and 3 vs. 3 and 9). This ratio was also significantly different from those at y in the ere–ore branch (P from Fisher's exact test <0.002, for 54 and 3 vs. 15 and 8) and in erecta (P from Fisher's exact test <10-4, for 54 and 3 vs. 5 and 8). This suggests that the local mutation pressure changed in the orena branch markedly at the y locus. However, because the substitutions in the Adh noncoding regions also showed a significant A/T to G/C bias (P < 0.005, G' with Williams' correction = 9.4, for 11 vs. 1), the change is not specific to the y locus, but the degrees of bias may depend on regions.


 
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Table 4. Mutational bias at the yellow locus on the D. orena branch

This change, in turn, probably led to the higher substitution rate in the orena branch compared with the erecta. Indeed, the Tajima's 1D test (TAJIMA 1993 Down) showed a significant departure from the molecular clock hypothesis (P < 0.001, {chi}2 = 20.0, for 60 in orena vs. 20 in erecta; P < 0.001, {chi}2 = 14.5, for 41 vs. 13 synonymous substitutions in the coding region). Consistently with a lack of strong mutational bias, the same tests for the Adh and Amy data showed no significant deviation (P > 0.1, {chi}2 = 2.7, for 28 in orena vs. 17 in erecta at Adh; P > 0.5, {chi}2 = 0.4, for 14 in orena vs. 11 in erecta at Amy).

Difference in recombination rates in the telomeric region of the X chromosome between D. melanogaster and D. yakuba:
A difference in recombination rates is another possible cause of the interspecific difference in codon biases. Because of linkage to deleterious mutations and advantageous mutations that occur in the vicinity, a reduction of recombination rate leads to a reduction of effective population size in the region involved (HILL and ROBERTSON 1966 Down; MAYNARD SMITH and HAIGH 1974 Down; KAPLAN et al. 1989 Down; BEGUN and AQUADRO 1992 Down; CHARLESWORTH et al. 1993 Down; CHARLESWORTH 1994 Down; PECK 1994 Down; BARTON 1995 Down; SANTIAGO and CABALLERO 1998 Down). The lower the recombination rate, the smaller the effective size. The telomere of the X chromosome of D. melanogaster (the y-AS-C region) is a region of severely reduced recombination (LINDSLEY and SANDLER 1977 Down).

The interspecific difference in the degree of codon bias suggested that natural selection at the AS-C and y genes acts more effectively in D. yakuba than in D. melanogaster. To explain the observed region-specific substitution patterns in the melanogaster and yakuba lineages, we expected a higher recombination rate of this region in D. yakuba than in D. melanogaster. To test this, I studied recombination frequency in the regions of y, suppressor of apricot [su(wa)], and stubarista (sta) genes, where the three genes of D. yakuba are all in the tip of the X chromosome and in the same order as in D. melanogaster, as shown in Figure 2. The standard genetic map positions in D. melanogaster are 0.0 for y, 0.1 for su(wa), 0.4 for sta, and 1.5 for w (LINDSLEY and ZIMM 1992 Down). The fulfillment of the prediction is shown in Table 5. The recombinant fraction in D. melanogaster was consistent with the published map positions, but the magnitude of recombination frequency in D. yakuba was >10 times higher than that in D. melanogaster both in the y-su(wa) and in the su(wa)-sta region. The recombination frequency in the y-sta region of D. yakuba did not differ between the two F1 genotypes (12/337 for yak-1/S181 and 13/347 for S180/S181). The estimates for D. simulans were even lower than those of D. melanogaster.



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Figure 2. Localization of the y, sta, and su(wa) genes on the polytene chromosomes of D. yakuba (A), D. erecta (B), and D. melanogaster (C).


 
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Table 5. Recombination frequencies and their 95% confidence limits in the telomeric region of the X chromosome

Some autosomal multiple inversions in the heterozygous condition are known to increase crossing-over frequencies at the tip of the X chromosome (interchromosomal effect). For instance, the simultaneous presence of the heterozygous autosomal inversions, In(2L)Cy + In(2R)Cy and In(3L)Payne + In(3R)Payne, increases the recombination frequency at the tip of the X chromosome by about three times (SCHULTZ and REDFIELD 1951 Down). Cytogenetic study revealed an inversion on the second chromosome [presumably In(2L)m in LEMEUNIER and ASHBURNER 1976] in yak-1/S181 heterozygotes, but none on the second and third chromosomes in S180/S181 heterozygotes. A lack of difference in recombination frequencies between the yak-1/S181 and S180/S181 heterozygotes is consistent with the previous finding that the heterozygous, naturally occurring inversions In(2L)t and In(3R)P do not increase recombination frequencies at the tip of the X chromosome (SNIEGOWSKI et al. 1994 Down). Consequently, the interchromosomal effect of heterozygous autosomal inversions cannot explain ~14 times higher recombination frequencies in D. yakuba.

In sum, these results are best explained by the hypothesis that the degree of recombination rate affects the effective population sizes of local chromosomal regions and consequently the efficacy of natural selection.

Effect of changes in recombination rates on efficacy of selection and substitution rates:
Using a stabilizing-selection model, KIMURA 1981 Down first studied codon-usage bias and synonymous-substitution rates within the framework of the neutral theory. LI 1987 Down and BULMER 1991 Down subsequently studied the same problem by using selection-mutation-drift models. Both studies concluded that a very weak selective difference between synonymous codons produces a strong bias. These models predict higher evolutionary rates of genes with weaker selection intensity (GILLESPIE 1994 Down; EYRE-WALKER and BULMER 1995 Down). On the other hand, despite the great difference in the patterns of synonymous substitution between the melanogaster and yakuba lineages, the total number of synonymous substitutions observed was not significantly different between the two lineages (67 in the melsim and melanogaster branches and 55 in the yaktei and yakuba branches from Table 2). It may be that not enough time has elapsed to be able to detect effects of the changes in recombination rates of the two lineages on the synonymous-substitution rates. To examine this possibility, I studied the dynamics of codon bias in a population that was not in equilibrium.

The above expectation of higher evolutionary rates of weakly biased genes is not always the case when a population is not in statistical equilibrium. To illustrate this point, consider a population of N diploid individuals at mutation-selection-drift equilibrium and assume two states, major and nonmajor, at each codon. For simplicity, assume that the actual population size (N) is equal to the effective size (Ne). Assume genic selection, and let s be the selective advantage of major codons over nonmajor codons in the homozygous condition. Write u for the mutation rate from a major codon to a nonmajor codon and v for the reverse mutation rate, and further assume Ne(u + v) << 1. The substitution rate per codon divided by the mutation rate (u + v), k, is given by EYRE-WALKER and BULMER 1995 Down,

(1)

where p is the frequency of major codons, S = 2Nes, and {phi}(-S) ({phi}(S))is the ultimate fixation probability of nonmajor (major) codons whose initial frequency is 1/2N. Note that the first term is the number of substitutions from major codons to nonmajor codons and the second term is the number of the reverse substitutions. {phi}(S) is given by {phi}(S) = S/(2N(1 - e-S)) (FISHER 1930 Down; WRIGHT 1931 Down) and the equilibrium frequency of major codons () by = eS/(eS + u/v) (LI 1987 Down; BULMER 1991 Down). Figure 3A shows the substitution rate at equilibrium as a function of S when u/v = 1.5. Greater selection intensity (S) generally results in lower substitution rates as shown in GILLESPIE 1994 Down and EYRE-WALKER and BULMER 1995 Down. The equilibrium frequency is a monotonically increasing function of S; however, a nonzero S gives the maximum substitution rate when u/v > 1. This finding may yield a lower limit for the magnitude of S. AKASHI 1996 Down studied the base composition at twofold degenerate sites for weakly biased genes and estimated the ratio of G/C -> A/T mutation rate to the reverse mutation rate as 1.5. As mentioned above, all the major codons of D. melanogaster are G- or C-ending codons, and thus natural selection acts against the mutational pressure. The substitution rate at equilibrium for u/v = 1.5 is maximized at about S = 0.3. The significant negative relationship between the substitution rate and codon-usage bias in the Drosophila genes (SHIELDS et al. 1988 Down; SHARP and LI 1989 Down; MORIYAMA and GOJOBORI 1992 Down) may indicate that the selection intensity (S) with respect to major and nonmajor codons is >0.3 for most genes.



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Figure 3. Substitution rates in equilibrium and nonequilibrium conditions. The ratio of mutation rate from a major to a nonmajor codon (u) to the reverse mutation rate (v) is 1.5 in all figures. (A) Substitution rate in equilibrium state as a function of twice the product of the effective population size and selection coefficient (S = 2Nes). The substitution rate is divided by the mutation rate (u + v). (B) Expected number of ultimate fixations of mutations that occurred in the generation when the strength of selection changed from S to aS divided by the equilibrium substitution rate before the change when a = 0.25, 0.5, 1.5, 2, 3, and 4. (C and D) Substitution rates as functions of the major-codon frequency (p) when a = 0.5; S = 1, 2, and 4 (C), and when a = 4; S = 0.5, 1, and 2 (D). The substitution rate is divided by the equilibrium substitution rate before the change. The frequency p decreases when a = 0.5 and increases when a = 4. The directions of the changes are shown by arrowheads.

Next, consider a case in which the strength of selection suddenly changes from S to aS (a is a constant). By substituting aS for S in Equation 1, we have

(2)

where k is a function of p. Because we assume that the population is generally monomorphic [Ne(u + v) << 1], this provides an approximate substitution rate when the frequency of major codons is p. If this is not the case, a more rigorous formulation is required to compare with the actual data because the number of substitutions is a composite of mutations that have arisen at a variety of times.

Putting before the change [eS/(eS + u/v)] for p, we obtain the expected number of ultimate fixations when the strength of natural selection changed. The ratios of this quantity to the original substitution rate in equilibrium for a = 0.25, 0.5, 1.5, 2, 3, and 4 are graphically presented in Figure 3B, which shows an increase in the number of substitutions after the changes in the magnitude of S for a < 1 and a > 2. Interestingly, when a = 2, the quantity given by Equation 2 is exactly the same as the equilibrium substitution rate before the change. The increase when a < 1 is attributed to a faster accumulation of disadvantageous mutations (nonmajor codons); the increase when a > 2 is attributed to an excess of advantageous substitutions that leads to a new higher equilibrium frequency of major codons. A transient increase of substitution rate is also found with changes in mutation pressure (SUEOKA 1993 Down). When u/v = 1.5 and S > 0.3, the rate for a > 1 decreases as the frequency of major codons approaches a new equilibrium frequency, and the new equilibrium substitution rate for a > 1 is lower than the original one as expected (Figure 3D). The substitution rates divided by the equilibrium substitution rates before the changes for a = 0.5 are illustrated as functions of p in Figure 3C, and those for a = 4 in Figure 3D. The relative substitution rate for a = 0.5 is always >1 (Figure 3C); that for a = 4 is >1 for a limited period (Figure 3D). This does not necessarily mean that a high substitution rate for a > 2 lasts for only a very short time. As an example, assume S = 1, a = 4, and u/v = 1.5. The equilibrium frequency of major codons before the change is 0.64. The relative substitution rate is >1 until p reaches 0.74, meaning a 10% increase of p. In addition, when S = 1 and a = 0.5, the relative substitution rate immediately after the change is 1.06 and that at the new equilibrium state (aS = 0.5) is 1.08; the relative substitution rate immediately after the change for S = 1 and a = 4 is 1.35. These transient-rate effects may account for a lack of significant difference in the number of substitutions between the melanogaster and yakuba lineages, despite a greater selection intensity in the yakuba lineage compared with the melanogaster.


*  DISCUSSION
*TOP
*ABSTRACT
*MATERIALS AND METHODS
*RESULTS
*DISCUSSION
*LITERATURE CITED

The significant role of recombination in molecular evolution is suggested by three lines of evidence: (i) a significantly reduced codon bias in the regions of very reduced recombination rates compared with the other regions in Drosophila (KLIMAN and HEY 1993 Down; COMERON et al. 1999 Down); (ii) higher evolutionary rates, probably due to higher accumulation rates of mildly deleterious mutations in tRNA genes in organelles with no effective recombination compared with nuclear tRNA genes (LYNCH 1997 Down), although the recombination effects could not be uncoupled from the population-size effects because the organelles probably have lower Ne than the nuclear genomes; and (iii) nonrecombining genomes that experience multiple rounds of bottlenecks exhibit lower fitness than recombining genomes under the influence of the same level of random genetic drift (RICE 1994 Down). In addition, a recent study reveals that y and scute (one member of the AS-C) have the highest synonymous substitution rates between D. melanogaster and D. subobscura among 18 genes compared, and that the codon bias for these genes is much higher in D. subobscura than in D. melanogaster (MUNTE et al. 1997 Down). Because of chromosome rearrangements, the y and AS-C genes of D. subobscura seem to be in regions of normal recombination rates.

The above data are all consistent with the hypothesis that reduction of recombination rates and population sizes leads to relaxation of selective pressure. Most of these studies, however, are based on comparisons among different genes or among very divergent organisms or genomes, which do not necessarily guarantee a constant selective pressure. The higher substitution rates in nonrecombining genomes, for instance, may be due to a change in the magnitude of selection coefficients. In contrast, we have compared the codon biases of the same genes between closely related species, in which much less environmental and background effects are expected. More important, these findings suggest, simultaneously, the action of positive selection for synonymous substitutions in the yakuba lineage and relaxation of purifying selection against these in the melanogaster lineage. One caveat is that we do not know the recombination rate in the ancestral population, which should presumably lie somewhere between those of the two species.

Major and nonmajor codons are defined for the D. melanogaster genes but not for the D. yakuba genes; thus, some between-species differences in major codons may exist. This potential difference, if any, cannot explain the region-dependent difference in codon-usage biases between the two species. Indeed, the number of (ymajmsnon) codons for the genes located in other genomic regions is about the same in the opposite configuration (ynonmsmaj); a significant heterogeneity in these numbers exists between the AS-C genes and the others studied (TAKANO 1998 Down). A previous study also shows an absence of differences in codon usage between D. melanogaster and D. pseudoobscura, where the latter species is more distantly related to the former species than D. yakuba (AKASHI and SCHAEFFER 1997 Down). Therefore, the absence of a detailed knowledge of codon usage in D. yakuba does not seriously affect the conclusion.

As shown in Figure 3, the synonymous substitution rate depends on the efficacy of natural selection (S = 2Nes) which, in turn, depends on the recombination rate because of linkage to deleterious and advantageous mutations. CHARLESWORTH 1994 Down has pointed out that changes in the recombinational environment of a locus due to chromosome rearrangements may lead to an evolutionary rate variation among different lineages. In addition, the recombination rate can change drastically without obvious structural changes (TRUE et al. 1996 Down; this study). This hypothesis differs from a model of deleterious mutations and changing population size (e.g., TAKAHATA 1987 Down) in two ways. First, the recombination-dependent substitution-rate hypothesis does not assume deleterious effects of all mutations but allows for an excess of advantageous-mutation substitutions relative to deleterious-mutation substitutions after changes in selection intensity. Second, and more important, changes in the population size affect all genes in the genome in the same direction, but the recombination rate may change depending on the region. Actually, the pattern predicted by the recombination-dependent substitution-rate hypothesis is similar to that of the house-of-cards models studied by OHTA 1992 Down, IWASA 1993 Down, and GILLESPIE 1994 Down. GILLESPIE 1994 Down rejected his house-of-cards model as a mechanism for mammalian molecular evolution because the model allows only a narrow range of selection intensity to affect the substitution rate. Akashi's estimate of 2.2 for Nes of D. simulans (AKASHI 1995 Down) lies in this range, and thus the model may be applied to synonymous substitutions in Drosophila. However, the recombination effects cannot explain the locus-lineage interaction effects observed in the synonymous substitutions fully. A significant interaction effect also exists in the four AS-C genes (TAKANO 1998 Down), but there seems to be a lack of gene-dependent difference in the recombination rates among these genes.

I previously studied the substitution-rate variation among the Drosophila lineages with special attention to ancestral polymorphism (TAKANO 1998 Down). In that article, I assumed a very low recombination rate in the telomeric region of the yakuba X chromosome, as in the melanogaster X, but this assumption has turned out to be clearly wrong. Thus, the quantitative evaluation of effects of ancestral polymorphism on rate variation in Drosophila also remains to be accomplished.

Surprisingly, this study reveals strongly GC-biased silent substitutions at the orena y locus, which has increased the G + C content at silent sites by 5% since the divergence from D. erecta. Although the study of the band profiles of Drosophila DNA in buoyant density gradient has shown much lower heterogeneity than mammalian DNAs (THIERY et al. 1976 Down), recent studies at fine scales have revealed significant heterogeneities in G + C content among 140- to 340-kb fragments (CARULLI et al. 1993 Down) and in intron G + C content among genes (KLIMAN and HEY 1993 Down, KLIMAN and HEY 1994 Down). The present finding further suggests that local mutation pressures can change among closely related species. This local mutation effect is very likely to be responsible for the higher substitution rate in the orena branch compared with the erecta. SUEOKA 1993 Down has shown that changes in mutational bias are followed by transient increases in substitution rates. The ratio of the total number of silent substitutions assigned for the orena branch to that for the erecta was 3.0. As for changes in selection intensity, the maximum substitution rate is obtained immediately after changes in mutation pressure. Under the assumption of u + v = constant, the ratio of this maximum substitution rate to the original equilibrium rate is only 1.25 even after a change from u/v = 1.5 to u/v = 10-6, suggesting an increase of v itself on the orena branch.

The findings on local changes in recombination rates and mutation pressures do not imply that the changes occurred only in the telomeric region of the X chromosome. Significant locus-lineage interaction exists in the synonymous-substitution rates among genes located in other genomic regions (TAKANO 1998 Down). We badly need more data on interspecific variation in recombination rates and mutation pressures, but it is conceivable that these factors fluctuate over time in other regions as well. Indeed, we did detect a significant A/T -> G/C mutational bias in the orena Adh noncoding regions, where, although the difference was not statistically significant, the number of substitutions in the orena branch was larger than that in erecta (28 vs. 17).

In sum, this study provides evidence for both local recombination and mutation effects as causes of the irregular molecular evolution at synonymous sites in Drosophila.


*  ACKNOWLEDGMENTS

I thank T. Ohta and H. Tachida for suggestions, Y. Ishii for technical assistance, and L. Gilner for improving the manuscript. I also thank two anonymous reviewers and J. Hey for many helpful comments, especially one of the reviewers for pointing out an error in the original version. I thank the National Drosophila Species Resource Center, Umeå Drosophila Stock Center, N. Inomata, and C. C. Laurie for fly stocks. This work was supported by the Ministry of Education, Science, Sports and Culture of Japan.

Manuscript received January 12, 1999; Accepted for publication July 6, 1999.


*  LITERATURE CITED
*TOP
*ABSTRACT
*MATERIALS AND METHODS
*RESULTS
*DISCUSSION
*LITERATURE CITED

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