- Research article
- Open Access
Extensive variation in synonymous substitution rates in mitochondrial genes of seed plants
© Mower et al; licensee BioMed Central Ltd. 2007
- Received: 15 April 2007
- Accepted: 09 August 2007
- Published: 09 August 2007
It has long been known that rates of synonymous substitutions are unusually low in mitochondrial genes of flowering and other land plants. Although two dramatic exceptions to this pattern have recently been reported, it is unclear how often major increases in substitution rates occur during plant mitochondrial evolution and what the overall magnitude of substitution rate variation is across plants.
A broad survey was undertaken to evaluate synonymous substitution rates in mitochondrial genes of angiosperms and gymnosperms. Although most taxa conform to the generality that plant mitochondrial sequences evolve slowly, additional cases of highly accelerated rates were found. We explore in detail one of these new cases, within the genus Silene. A roughly 100-fold increase in synonymous substitution rate is estimated to have taken place within the last 5 million years and involves only one of ten species of Silene sampled in this study. Examples of unusually slow sequence evolution were also identified. Comparison of the fastest and slowest lineages shows that synonymous substitution rates vary by four orders of magnitude across seed plants. In other words, some plant mitochondrial lineages accumulate more synonymous change in 10,000 years than do others in 100 million years. Several perplexing cases of gene-to-gene variation in sequence divergence within a plant were uncovered. Some of these probably reflect interesting biological phenomena, such as horizontal gene transfer, mitochondrial-to-nucleus transfer, and intragenomic variation in mitochondrial substitution rates, whereas others are likely the result of various kinds of errors.
The extremes of synonymous substitution rates measured here constitute by far the largest known range of rate variation for any group of organisms. These results highlight the utility of examining absolute substitution rates in a phylogenetic context rather than by traditional pairwise methods. Why substitution rates are generally so low in plant mitochondrial genomes yet occasionally increase dramatically remains mysterious.
- Mitochondrial Genome
- Substitution Rate
- Mitochondrial Gene
- Seed Plant
- Synonymous Substitution
A synonymous site substitution is defined as a change in a protein-coding gene that does not alter the amino acid sequence encoded by the gene. Thus, synonymous substitutions are often assumed to be free of selection at the protein level, and the rates at which they accumulate are widely used as an approximation of the neutral mutation rate. The first study on rates of synonymous substitutions in flowering plants found that mitochondrial genes evolve a few times more slowly than chloroplast genes, about ten times more slowly than plant and mammal nuclear genes, and 50–100 times more slowly than mammalian mitochondrial genes . Later studies have confirmed the low rate of synonymous changes in angiosperm mitochondrial genes [2–4] and extended the observation to the entire mitochondrial genome . However, recent studies identified two genera of flowering plants, Plantago and Pelargonium, that have experienced a dramatic increase in the mitochondrial rate of synonymous substitution [6–8]. Some of these rate increases were temporary, with rates approaching or returning to normally low levels in certain descendent lineages [6, 7].
Phylogenetic analyses have suggested additional cases of rate acceleration for several plant lineages [9–14], but it is unclear whether this is a widespread phenomenon in plants. Here we test the generality of slow synonymous sequence evolution in plant mitochondrial genes across a large number (between 306 and 578 species, depending on the gene) and wide diversity of seed plants (i.e., gymnosperms and angiosperms). Although genes from most species evolve slowly, as expected, additional cases of highly accelerated rates were found, as were examples of exceptionally slow sequence evolution. Surprisingly, a few plants were also identified that contain a mixture of both quickly and slowly evolving mitochondrial genes. Overall, these results demonstrate that the synonymous substitution rate in plant mitochondria is a more variable character than previously appreciated.
Levels of sequence divergence in mitochondrial genes of seed plants
A surprising feature of these trees is the amount of branch-length variation seen (Figs. 1, 2, 3). Although the great majority of plants show conventionally low levels of synonymous site divergence, a number of species have substantially shorter or longer branches for one or more genes. The most striking examples of increased sequence divergence are from Plantago and Pelargonium, whose atp1 and cox1 branch lengths are exceptionally long (note that the matR gene has not been isolated from Pelargonium or from the fastest members of Plantago), as previously reported [6, 7]. Although less extreme, one or more species from Silene, Apodanthes, Acorus, Ephedra, and Podocarpus are also very divergent across multiple genes. Patterns are not as clear for other taxa. For instance, Goodenia and Musa are highly divergent for atp1 but only moderately divergent for cox1. For a number of species, such as Carex and Anthericum, a sequence from one gene is very divergent but data are not available for the other two genes.
In contrast to the examples of increased levels of mitochondrial sequence divergence, there are several groups that consistently show an unusually low level of divergence, even in the context of the general conservation expected for plants (Figs. 1, 2, 3). Within the angiosperms, these groups include the Arecales (also see ), the Chloranthales, the sister orders Laurales and Magnoliales, and most orders within the basal eudicots. Several gymnosperm lineages also have short branches, including the Cycadales, the Pinaceae, and Ginkgo.
Unexpectedly, these analyses have also identified several lineages with high levels of divergence for some genes but low levels for others (Figs. 1, 2, 3). For example, divergence levels for Alisma are high for atp1 and matR but unexceptional for cox1. The cox1 and matR genes from Ranunculus are remarkable in that they are unusually conserved, similar to the very slow rates found in most basal eudicots, while its atp1 gene is moderately divergent. For Polemonium and Pentamerista (in the Tetrameristaceae), atp1 is divergent but matR is conserved. Conversely, matR is divergent but atp1 is conserved for Pilostyles (in the Apodanthaceae).
Absolute substitution rates in mitochondrial genes of seed plants
The length of a branch in a phylogenetic tree, which represents an estimate of the amount of sequence divergence for that lineage, equals the product of the absolute substitution rate(s) and time. Because of this confluence, the rate and time components must be separated in order to make direct comparisons of substitution rates among taxa. We previously described a method to calculate absolute rates of synonymous (RS) and nonsynonymous (RN) substitution along each branch in a phylogenetic context [6, 7], and we employ essentially the same strategy here. However, in this case dS and dN values were estimated from a combined analysis of five mitochondrial protein genes (Fig. 4).
Divergence times, absolute substitution rates, and synonymous to nonsynonymous rate ratios for all terminal branches
17 ± 1
7.71 ± 2.08
0.53 ± 0.13
17 ± 1
69.62 ± 6.33
2.76 ± 0.30
82 ± 4
0.19 ± 0.06
0.06 ± 0.02
89 ± 5
0.38 ± 0.06
0.17 ± 0.03
89 ± 5
0.10 ± 0.04
0.05 ± 0.01
5 ± 1
0.54 ± 0.38
0.22 ± 0.12
5 ± 1
90.12 ± 13.94
5.37 ± 1.00
8 ± 1
1.55 ± 0.52
0.45 ± 0.15
19 ± 4
0.59 ± 0.24
0.07 ± 0.06
38 ± 2
0.56 ± 0.12
0.04 ± 0.02
76 ± 4
0.29 ± 0.07
0.05 ± 0.02
41 ± 3
0.79 ± 0.72
0.06 ± 0.03
41 ± 3
30.70 ± 3.07
1.22 ± 0.17
100 ± 4
0.56 ± 0.07
0.16 ± 0.02
100 ± 4
0.70 ± 0.08
0.14 ± 0.03
100 ± 4
0.45 ± 0.07
0.09 ± 0.02
130 ± 6
0.08 ± 0.03
0.05 ± 0.01
131 ± 6
0.23 ± 0.05
0.03 ± 0.01
133 ± 6
0.11 ± 0.03
0.03 ± 0.01
133 ± 6
0.09 ± 0.03
0.02 ± 0.01
137 ± 6
0.36 ± 0.05
0.05 ± 0.01
86 ± 4
0.33 ± 0.08
0.03 ± 0.01
86 ± 4
0.61 ± 0.08
0.15 ± 0.03
92 ± 5
0.11 ± 0.04
0.05 ± 0.02
118 ± 6
0.19 ± 0.05
0.04 ± 0.01
127 ± 6
2.45 ± 0.21
0.26 ± 0.03
153 ± 8
0.26 ± 0.05
0.08 ± 0.02
158 ± 8
0.18 ± 0.04
0.07 ± 0.01
245 ± 0
0.43 ± 0.07
0.09 ± 0.01
245 ± 0
0.93 ± 0.10
0.08 ± 0.02
267 ± 8
0.47 ± 0.06
0.20 ± 0.02
286 ± 13
0.04 ± 0.02
0.13 ± 0.02
169 ± 27
0.38 ± 0.10
0.11 ± 0.03
169 ± 27
2.36 ± 0.43
0.31 ± 0.06
315 ± 5
0.10 ± 0.02
0.04 ± 0.01
179 ± 9
0.02 ± 0.01
0.03 ± 0.01
179 ± 9
0.06 ± 0.02
0.03 ± 0.01
It must be noted here that sites of RNA editing were not excluded in the analyses of this study. In plants, RNA editing usually occurs at multiple positions for any mitochondrial transcript [17, 18]. The retention of edited sites in rate analyses can sometimes bias estimates of nonsynonymous substitution rates, although their presence seems to have little to no effect on synonymous rate estimates [19, 20]. Indeed, the exclusion of edited sites in gymnosperm cox1 sequences resulted in a 30-fold reduction in the nonsynonymous rate . Thus, the high RN/RS ratios observed for Pinus and Cycas are probably an artifact of the large number of edited sites present in their genes.
Number of RNA editing sites predicted by PREP-Mt (C = 0.5)
Absolute substitution rates
Previous studies on synonymous substitution rates found that plant mitochondrial sequences evolve very slowly [1–5]. For the most part, the results presented in Figures 1, 2, 3 confirm these earlier findings. Roughly 80–90% of the sampled species have normally low levels of sequence divergence at synonymous sites. However, a surprising number of species depart from the "normal" mitochondrial pattern. At one end of the spectrum, there are several angiosperm (e.g., Arecales, Chloranthales, and Laurales) and gymnosperm (e.g., Cycadales and Pinaceae) groups whose genes are unusually conserved at synonymous sites. At the opposite end are taxa such as Plantago, Pelargonium, and S. noctiflora with long branches for multiple genes. Many additional species have long branches for a single gene, but independent sequences are needed to confirm that these long branches are replicable and not artifactual (also see next section). On the whole, these results suggest that while most lineages of plant mitochondria do indeed possess generally low synonymous substitution rates, it's increasingly naive and misleading to categorize all plants in this way, and that synonymous substitution rates are, for reasons still unclear, exceptionally fluid and variable in plant mitochondria.
Because the analyses in Figures 1, 2, 3 used almost all species available in GenBank (some species were lost during data filtration; see methods), they provide a generally unbiased representation of rate variation across seed plants. However, for comparisons among species, branch lengths alone are inadequate because they are a function of absolute substitution rate(s) and time. In other words, equally long branches do not necessarily equate to equally fast absolute substitution rates. For example, dS for S. noctiflora, Acorus, and Ephedra are quite similar, but RS for S. noctiflora is almost 40 times higher than for Acorus and Ephedra (Table 1). Indeed, the synonymous rate for S. noctiflora is even faster than for the species of Plantago and Pelargonium examined here (Table 1), despite the much shorter branch length for S. noctiflora (Fig. 4).
These findings highlight the importance of taxon sampling in these analyses. The increased sampling of Silene species allowed us to pinpoint the rate acceleration in S. noctiflora to a 5 million year period. Similarly, sampling of multiple taxa within Plantago in a previous study on synonymous rates identified one species, P. media, with RS a few times higher than for S. noctiflora over a similar time span . The finding of extensive variation in synonymous substitution rates within these two genera suggests that there is likely to be much more rate variation in plant mitochondrial genomes than is already apparent. Increasingly dense sampling of species is likely to uncover additional examples of rate variation. Calculation of absolute substitution rates may identify further examples, because some increases may be so recent that sequence divergence is still rather low and not readily apparent in phylogenetic trees.
Unfortunately, for Acorus and Ephedra there is little chance that increased sampling will provide a better estimate of the timing and magnitude of the rate acceleration, despite the fact that their increased divergence levels are spread over more than 100 million years. For Acorus, the genus encompasses only three or four species and they all appear to be very similar at the molecular level (see three species in Figure 1 and two species in Figure 3). Furthermore, there are no other genera in the Acorales to break up the time period from the base of monocots to the diversification of Acorus . With over 60 species in Ephedra, it may be possible to more finely dissect the dynamics of rate evolution in this genus. However, like the situation in Acorus, the species included here show very little molecular divergence (see three species in Figure 2) and there are no other genera to break up the long time interval between the crown and stem group nodes of Ephedra .
Among-species comparisons reveal that synonymous substitution rates vary by four orders of magnitude across seed plants, from a low of 0.015 SSB in Cycas (Table 1) to a high of 166–244 SSB in Plantago media . Excluding RNA viruses , this is, to our knowledge, by far the largest range of synonymous rates known for any phylogenetic group and genome, as well as both the lowest and highest estimated rates. To put this range in perspective, the amount of mitochondrial sequence divergence found in Cycas after almost 180 million years of evolution would have taken P. media on average only about 15 thousand years to accumulate. These results highlight the advantage of estimating rates in a phylogenetic context. Traditional pairwise methods average rates between two lineages, thereby masking any lineage-specific rate differences. A pairwise comparison between S. noctiflora at 90 SSB and S. latifolia at 0.54 SSB would result in an averaging of their very different rates to ~45 SSB, which doesn't reflect either of their actual rates very well. Similarly, the low rate found in Cycas (0.015 SSB) wouldn't be quite as low in a pairwise comparison with Zamia (0.059 SSB) leading to a pairwise rate of 0.037 SSB. The phylogenetic estimates of substitution rates indicate a 6000-fold range of variation between Cycas and S. noctiflora versus a 1000-fold range based on the pairwise estimates.
Although substitution rates are high for mitochondrial genes of S. noctiflora and Acorus, chloroplast and nuclear genes from these species do not show any increase in sequence divergence [see Supp. Fig. 1 in Additional file 1] [24–27]. Thus, the rate acceleration in these species is confined to the mitochondrial genome, as seen also in Plantago and Pelargonium [6, 7]. In those studies, defects in mitochondrial DNA replication or repair were speculated to be, among a wide range of processes potentially affecting the mitochondrial mutation rate, the most likely causes of such severe, mitochondrial-specific increases in substitution rates. Similar factors may also be at work in S. noctiflora and Acorus. In contrast, in Ephedra, chloroplast and nuclear sequences are also divergent [27, 28]. This points to a factor acting at the organismal level, such as generation time, that would affect rates in all three genomes, although mitochondrial-specific forces may be at work as well. Some studies [16, 29–31] have detected moderate, correlated differences in synonymous substitution rates across all three plant genomes and have attributed these to generation time effects [16, 29, 30], paternal transmission of organelles , or correlated substitution and speciation rates [32, 33].
Within-plant variation in sequence divergence
One surprising finding from the broad-scale analyses is the number of plant lineages with levels of synonymous site divergence that appear to be relatively high for some genes and low for others (Figs. 1, 2, 3). In most cases, the basis for this apparent within-plant rate heterogeneity is unknown, and as emphasized below, some of these cases are likely to be or potentially are the result of error of various kinds. Others, however, have a possible biological underpinning. One likely biological explanation is horizontal gene transfer, which occurs surprisingly frequently between mitochondrial genomes of unrelated plants [34, 35]. Transfers between genomes with highly different substitution rates and accumulated sequence divergence could easily account for some of the within-plant, gene-to-gene differences shown in Figs. 1, 2, 3 and indeed is suspected to account for one particular case. Two members of the Apodanthaceae, Pilostyles and Apodanthes, have high levels of divergence for matR. The Apodanthes atp1 gene is similarly divergent, but atp1 from Pilostyles is not. Phylogenetic analysis of the atp1 gene from Pilostyles suggests the possibility that this gene may have been acquired via horizontal transfer from a plant with normally low mitochondrial rates .
Another potential biological explanation for differences in synonymous rates between genes from the same plant is that they are located in different genetic compartments that possess different substitution rates. With the exception of Plantago and Pelargonium [6, 7] and probably some of the new cases of high-rate mitochondrial genomes reported in this study, synonymous rates are much lower in mitochondrial than nuclear genomes in plants [1–4]. Functional transfer of a mitochondrial gene to the nucleus will thus usually lead to much higher rates of sequence divergence. This possibility is exciting because there has been no report of functional nuclear transfer for atp1, matR, or cox1 in any plant. This includes no evidence for loss of these three genes from the mitochondrial genomes of 280 diverse angiosperms examined by Southern blot hybridization, whereas 16 other genes were inferred to be frequently lost from the mitochondrial genome and, equally frequently, functionally transferred to the nucleus .
A third intriguing possibility is that synonymous substitution rates vary across regions of the mitochondrial genome. In the chloroplast genome of angiosperms, synonymous rates are known to be a few-fold higher in single-copy regions than in a large inverted-repeat region [1, 37], and of perhaps greater relevance, a small region with higher accelerated synonymous rates has recently been discovered in the chloroplast of one lineage of legumes (KH Wolfe, personal communication). Gene-to-gene variation in the mitochondrial mutation rate was also recently observed in populations of Silene vulgaris [38, 39].
There are also several non-biological reasons why divergence levels for a particular species vary between genes. Sequencing errors will artificially inflate sequence divergence. The Pennisetum atp1 sequence is a likely example. Including the atp1 sequence, eight mitochondrial genes were generated for Pennisetum from the same unpublished study (GenBank: AF511559–AF511569), and all show similar characteristics including frameshifting indels and a large number of nucleotide substitutions (data not shown). Most likely, these unpublished sequences are full of errors, and this is the cause of the apparently anomalous divergence of atp1 in Pennisetum.
Misidentification of the correct phylogenetic position of a sequence/organism could also lead to artifactually long branches (recall that topological constraints were enforced for dS branch length estimation). For example, two cases were found where the taxonomic sources of sequences were swapped. In the first case, a cox1 sequence whose source is listed as Austrobaileya (GenBank: AF193954) is more similar to an independent Ceratophyllum sequence than to other Austrobaileyales sequences, while a sequence annotated as Ceratophyllum (GenBank: AF193945) is actually more Austrobaileya-like. These two GenBank files have now been corrected. A similar mix-up occurred between a Ginkgo-like sequence annotated as Cabomba (GenBank: X94585) and a Cabomba-like sequence identified as Ginkgo (GenBank: X94587). In each example, the mislabeled sequences were generated from the same study and probably reflect a mix-up that occurred during the database submission process. They were easily identifiable (and were excluded from the final analyses) because they appeared as uncharacteristically long branches relative to independent sequences of the same gene from the same genus.
The use of topological constraints in the analyses may similarly lead to spuriously long branches. To evaluate this possibility, unconstrained analyses were performed on the four data sets used for Figures 1, 2, 3, 4 [see Supp. Figs. 2-3 in Additional file 1]. As can be seen, almost all long branches in the constrained analyses remain long in the unconstrained analyses. However, the use of topological constraints apparently led to an erroneously long branch for Archytaea matR and for Pennisetum atp1. Archytaea was constrained as an asterid in the Ericales (based on GenBank taxonomy), but it is actually a rosid in the Malpighiales . In the unconstrained analysis for matR, Archytaea groups properly within the Malpighiales and exhibits a more normal branch length [see Supp. Fig. 2 in Additional file 1]. The long branch for Pennisetum atp1 also greatly diminishes in the unconstrained analyses [see Supp. Fig. 2 in Additional file 1]. As mentioned above, the long Pennisetum branch may result from a poor-quality sequence read. Alternatively, the sequence may have been acquired via horizontal gene transfer, or the DNA sample was derived from an organism mistakenly identified as Pennisetum.
These examples underscore the need for independent sequencing to verify that any and all cases of putative intragenomic variation in synonymous substitution rates are real and not the result of human error. For those cases that are validated, it will be interesting to see whether any turn out to reflect noteworthy events in mitochondrial evolution, such as gene- or region-specific differences in substitution rates within a mitochondrial genome, horizontal gene transfer, or the functional transfer to the nucleus of a gene that has never known to have been so-transferred in plants (atp1 or matR) or even among all eukaryotes (cox1).
In this study, we have measured synonymous substitution rates in a phylogenetic context and uncovered numerous independent examples of rate increase and decrease. These results demonstrate that the synonymous substitution rate in plant mitochondria is a more variable character than previously appreciated. The extremes of synonymous substitution rates measured here constitute by far the largest known range of rate variation for any group of organisms, yet there is no obvious explanation for these divergent patterns. Future studies are required to understand the evolutionary processes driving these patterns.
Total genomic DNA was extracted and purified from fresh leaves using a CTAB protocol  or using the DNeasy Plant Mini Kit (QIAGEN) according to manufacturer's instructions. Genes were amplified by polymerase chain reaction using a PTC-200 thermocycler (MJ Research) and gene-specific primers [see Supp. Table 1 in Additional file 2]. Each reaction was performed using 35 cycles of 30 sec at 94°C, 30 sec at 50°C, and 2.0–2.5 min at 72°C, with an initial step of 3 min at 94°C and a final step of 10 min at 72°C. Polymerase chain reaction products were purified using ExoSAP-IT (United States Biochemical) and then sequenced on both strands using an ABI 3730 (Applied Biosystems) at the Indiana Molecular Biology Institute. Sequences newly determined in this study were deposited in GenBank under accessions EF547202–EF547251. Additional nucleotide sequences used in this study were obtained from GenBank [see Supp. Tables 2-7 in Additional file 2].
Survey of mitochondrial sequence divergence
Similarity searches were performed with blastn against the nonredundant GenBank database using the atp1, cox1, and matR genes from Arabidopsis thaliana as queries (GenBank: Y08501). Limitations were enforced during the searches such that only hits from the Spermatophyta (gymnosperms and angiosperms) with an e-value less than 1e-10 were included. Hits less than 200 bp in length, multiple hits to the same species, pseudogenes, and cDNA sequences were removed from the blast results, while sequences generated in this study were added. Sequences were aligned using ClustalX and manually adjusted when necessary. Poorly alignable regions were excluded from the data sets, as were regions with gaps in the majority of taxa. These data sets (and all others used in the paper) are available [see Additional file 3].
For each surveyed gene, a ML topology was determined with PAUP*. To ensure completion of the ML analysis, several time-saving steps were taken. First, a partially-constrained topology was enforced. The topology was constrained such that all sequences within a family (as defined by GenBank taxonomy) were forced to be monophyletic. Relationships among families were constrained according to information from the Angiosperm Phylogeny Website . Relationships among the major seed plant groups were constrained according to the 9-gene ML analysis of Qiu et al . Second, ML parameters were fixed to values estimated from a neighbor-joining prior to the ML analysis. Third, the ML analysis used the HKY+G+I model with four rate categories rather than the more parameter-rich GTR+G+I model. The ML topology was identified by a heuristic search starting from the aforementioned neighbor-joining tree and using the TBR branch-swapping algorithm and the MULTREES option.
To determine whether the PAUP* time-saving strategies had an effect on the results of this study, a ML topology was also determined for each gene using RAxML version 2.2.3 . In contrast to the PAUP* analysis, no topological constraints were enforced, the GTR+G model was used (GTR+G+I is not available in RAxML), the search started from a maximum parsimony tree, and the ML parameters were estimated during the ML analysis. For each gene, 10 replicates were performed starting from 10 different randomized parsimony trees. The initial rearrangement setting was fixed to 10 for all analyses.
Using the ML tree topologies generated above for each gene, dSbranch lengths were estimated in HyPhy version 0.99 for UNIX  using the MG94W9 codon model  and allowing for independent dN and dS values for each branch (the local parameters option). The dS trees using the PAUP* topologies are shown in Figures 1, 2, 3, and the dS trees based on RAxML topologies are shown in Supplementary Figure 2 [see Additional file 1].
Estimation of absolute substitution rates
Absolute substitution rates were calculated for a subset of the taxa in the rate survey using methods that have been described previously [6, 7]. Briefly, divergence times within Caryophyllaceae [see Supp. Fig. 1B in Additional file 1] were estimated by penalized likelihood with the program r8s , using an ML tree from an analysis of the chloroplast gene matK [see Supp. Fig. 1A in Additional file 1] and 38 million years for the split between Caryophyllaceae and Amaranthaceae as a calibration point . Standard errors for Caryophyllaceae divergence times were estimated from 100 bootstrap replicates. Divergence times and associated errors for Plantago, for the remaining angiosperms, and for gymnosperms were taken from the analyses of Cho et al , Wikstrom et al , and Magallon and Sanderson , respectively. The dS and dN trees in Figures 4 and 5 were estimated from individual and combined data sets of five mitochondrial protein-coding genes (atp1, cob, cox1, cox2, cox3) using HyPhy as described in the previous section on a topology constrained according to the Angiosperm Phylogeny Website . Standard errors for dS and dN were estimated from 100 bootstrap replicates. RS and RN values for each branch were calculated by dividing the mitochondrial sequence divergences from the combined data set by the elapsed time along that branch (Table 1).
The authors thank Chris Parkinson for providing the Alisma cox1 sequence and Sergei Kosakovsky Pond for helpful assistance with the HyPhy software. This work was supported by NIH research grant GM-70612 (to JDP), NSF grant DEB-0210971 (to LFD), and a Fulbright/Nord Pas de Calais Region Award (to PT).
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