A comparative computational analysis of nonautonomous Helitron elements between maize and rice
© Sweredoski et al; licensee BioMed Central Ltd. 2008
Received: 08 June 2008
Accepted: 08 October 2008
Published: 08 October 2008
Helitrons are DNA transposable elements that are proposed to replicate via a rolling circle mechanism. Non-autonomous helitron elements have captured gene fragments from many genes in maize (Zea mays ssp. mays) but only a handful of genes in Arabidopsis (Arabidopsis thaliana). This observation suggests very different histories for helitrons in these two species, but it is unclear which species contains helitrons that are more typical of plants.
We performed computational searches to identify helitrons in maize and rice genomic sequence data. Using 12 previously identified helitrons as a seed set, we identified 23 helitrons in maize, five of which were polymorphic among a sample of inbred lines. Our total sample of maize helitrons contained fragments of 44 captured genes. Twenty-one of 35 of these helitrons did not cluster with other elements into closely related groups, suggesting substantial diversity in the maize element complement. We identified over 552 helitrons in the japonica rice genome. More than 70% of these were found in a collinear location in the indica rice genome, and 508 clustered as a single large subfamily. The japonica rice elements contained fragments of only 11 genes, a number similar to that in Arabidopsis. Given differences in gene capture between maize and rice, we examined sequence properties that could contribute to differences in capture rates, focusing on 3' palindromes that are hypothesized to play a role in transposition termination. The free energy of folding for maize helitrons were significantly lower than those in rice, but the direction of the difference differed from our prediction.
Maize helitrons are clearly unique relative to those of rice and Arabidopsis in the prevalence of gene capture, but the reasons for this difference remain elusive. Maize helitrons do not seem to be more polymorphic among individuals than those of Arabidopsis; they do not appear to be substantially older or younger than the helitrons in either species; and our analyses provided little evidence that the 3' hairpin plays a role.
Traditionally, transposable elements (TEs) have been classified as either Class I or Class II . Class I, or retroelements, transpose through an RNA intermediate. This group includes both long-terminal repeat (LTR) transposons and non-long-terminal repeat retrotransposons . Class II elements transpose via DNA, include inverted repeats , and often leave a "footprint" after excision [4–6]. The two classes of transposable elements share at least two features: first, both duplicate host sequences during integration into the host genome, and second, the 3' end of the insertion is either a duplicate of the 5' end or a poly (A) tail .
In 2001, Kapitonov and Jurka identified a new group of eukarotyic DNA TEs in eukaryotes that they named helitrons . Helitrons are DNA elements that are proposed to move via a rolling circle replication mechanism similar to that of some prokaryotic transposable elements . They are unique in that they do not duplicate host insertion sites and do not contain terminal repeats. They can also be quite large, up to 15 kb or more . However, helitrons do have two conserved sequence features. First, they tend to insert between Adenine and Thymidine residues. Second, they have conserved ends consisting of TC on the 5' end and CTRR on the 3' end, often with a palindromic sequence of 16–20 bp near the 3' terminus. Because they do not replicate by the "cut and paste" method of most class II elements, helitrons were initially difficult to classify and were considered their own class. They have now been assigned as a separate subclass of class II TEs .
Non-autonomous helitrons are common in eukaryotic genomes, representing ~2–3% of genomes in species as diverse as Arabidopsis thaliana (Arabidopsis), Caenorabditis elegans and bats (Myotis lucifugus) [7, 10, 11], but they are arguably most interesting in maize (Zea mays ssp. mays), where they contribute to substantial differences in gene order and content among individuals [12, 13]. For example, the bronze region features extensive sequence non-homologies among maize inbred lines , in large part due to non-autonomous helitron insertions. Remarkably, much of this non-homology represents expressed gene fragments that have been captured within non-autonomous elements. Gene capture appears to be both widespread and frequent. For example, just four helitrons were found to contain fragments that originated from at least seven genes . Moreover, overgo hybridization suggests that as many as 10,000 genes or gene fragments may be unshared between inbred lines, perhaps due to helitron activity . The presence of expressed gene fragments within helitrons highlights their potential to contribute to functional, as well as structural, diversity within plant genomes [9, 13, 15–18].
The observations in maize provide a puzzling contrast to observations in Arabidopsis. Arabidopsis contains >1000 non-autonomous helitrons, many of which were initially catalogued as Basho elements . Like helitrons in maize, many A. thaliana elements contain gene fragments. Unlike maize, however, these fragments appear to represent only a small number of gene capture events . This contrast between maize and Arabidopsis raises a number of important questions about the evolution of helitrons and their role in gene capture. First, are the small numbers of maize helitrons characterized thus far typical with respect to the extent of gene capture, or could the apparent differences between species be due to the small number of helitrons isolated from maize thus far? Second, if one examines a third experimental system, like rice (Oryza sativa), do maize or Arabidopsis helitrons appear to be more typical with respect to gene capture? Third, if there are real differences in gene capture between maize and other plant species, can one glean any clues as to the mechanistic or evolutionary factors that contribute to these differences?
Helitron identification and polymorphism in maize
Because maize helitrons were first identified by comparisons of sequence data between maize inbred lines , we next assessed polymorphism among maize individuals. We attempted to survey our 23 predicted helitrons with a PCR assay of eight maize inbred lines (see Methods). We were unable to amplify single bands consistently for eight of the predicted helitrons, and so could not unambiguously assess polymorphism for these presumptive helitrons. Another eight were fixed in the panel of eight maize inbred lines, and polymorphism could not be verified in a broader germplasm set, either due to a lack of polymorphism or poor amplification properties. However, five helitrons were polymorphic in the sample of inbred lines. Thus, 5 of our 23 predicted helitrons (21%) were confirmed to be polymorphic.
We next used the 5' and 3' ends from our panel of 35 putative maize helitrons to build profile HMM models (see Methods) and used the models to scan all maize genomic sequences in Genbank. We found that the recall rate, which is a measure of sensitivity, was very low (data not shown), indicating that the HMM could not effectively model the 5' and 3' maize motifs. The failure of the HMM approach may indicate that maize harbors a broad diversity of helitron subfamilies with widely variable 3' and 5' ends (see Discussion).
Helitron identification and polymorphism in rice
While conducting our Blast-based search for maize helitrons in Genbank, we also discovered 23 putative helitrons in genomic rice sequences. Mirroring our approach for maize, we used the 5' and 3' ends from this panel of putative rice helitrons to build profile HMMs and used the models to scan two separate sources: genomic sequences of indica and japonica rice. In contrast to the HMM application to maize, the rice HMMs achieved a much higher recall rate, suggesting that rice helitrons may share extensive sequence similarity. The HMM models identified 552 putative helitron elements in the japonica rice genome (Table S2), and 604 elements in the indica rice genome. To determine whether we would expect to identify 552 elements based on chance alone, we constructed randomized rice genomes with the same length and compositional properties of japonica rice (see Methods) and reapplied the HMM. In five randomized genomes, the HMM failed to identify a single helitron, thus illustrating that our findings are not expected due to random hits to a genomic sequence of similar length and composition.
Because the helitron components from the rice genomes were similar and because the japonica genome is better annotated, we focused on the set of japonica elements for description. The mean length of predicted japonica helitrons was 441 bp, with 97% of these under 1.0 kb in length and at least two of the longest (> 3 kb) containing internal retrotransposons. None of the putative helitrons appear to be autonomous, based both on length and on BLASTn comparisons to putative helicase genes (data not shown). We examined the 5' and 3' ends of predicted rice helitrons, just as we examined them in maize (Figure 2). The rice helitrons generally yield stronger consensus motifs, with nucleotide biases extending for ~30 bp on the 5' end and 11 bp on the 3' end. Nonetheless, there are shared features of the motifs between maize and rice, particularly the 5' 'TCT' and the 3' 'CTAGT'. We also examined the regions flanking rice helitrons. Like maize, the helitrons exhibited a preference for a 5' flanking 'A' nucleotide. The 3' flanking sequences were markedly A+T rich, which is also a preference in maize but less pronounced (Figure 2).
We assessed polymorphism of rice helitrons computationally by comparing their locations between the japonica and indica genomes. To first determine orthology between helitrons, we compared 100 bp flanking each side of each helitron between genomes (see Methods). Assuming no genomic rearrangements between japonica and indica, orthologous helitrons should not only share flanking regions but also be in the same chromosome, on the same strand and between the same bordering flanking regions. Given this definition of orthology and a subsequent list of possible orthologous pairings, we used the maximal non-crossing matching algorithm  to find the one-to-one mapping with the largest cardinality. Using this approach, we estimate that 404 of the 552 japonica (73%) elements are found in the same location within the indica genome. For the 27% of japonica helitrons that were not found in the same location indica, it was not always clear if the helitron is truly polymorphic between genomes or if data were missing in one of the two genome sequences. However, some helitrons were polymorphic between japonica and indica with insertion sites at the predicted 3' and 5' boundaries (Fig. S1), as might be expected of recently inserted elements. Thus, our 27% estimate contains some true polymorphisms, but this figure is also the upper limit of helitron polymorphism between the japonica and indica genomes. The true value could be substantially lower.
Characterization of captured coding sequences
Genes captured by maize helitrons
19 kDa zein protein
transcriptional activator gene
heme oxygenase 1
ornithine carbamoyl transferase
rust resistance protein rp3-1
HC toxin reductase (hm1)
alcohol dehydrogenase 1 (adh1)
cell division like 1
VADER mutant shrunken-2 (sh2) pseudogene
phytoene synthase (Y1)
high sulfur zein
male sterility restorer factor 2 (rf2a)
22 kDa alpha zein
pullulanase-type starch debranching enzyme
Maize oleosin KD18
putative ribosomal protein S22 h.
protein phosphotase 2C PP2C
glucosyl transferase ribosomal protein
epsilon protein kinase
P450 monooxygenase CYP71C3v2 gene
SU1 isoamylase (sugary1)
aberrant pollen transmission 1 (apt1)
cytochrome b/f complex
rp S8 mRNA
aminoadipic semialdehyde synthase
transcription initiation factor tfiid
protease S28 pro-X carboxypeptidase
proteasome regulatory subunits
ethylene-responsive factor-like protein 1 (ERF1)
fertilization-independent endosperm protein 1
lysine ketoglutarate reductase/saccharopine dehydrogenase
S1 protein (S1)
helix-loop-helix type transcription factor R
anthocyanin regulatory C1 (c1)
Genes captured by rice helitrons
Os02g38690.1 protein phosphatase 2C
Os01g57120.1 SWIM zinc finger
Os06g17910.1 NBS-LRR disease resistance protein
Os12g42820.1 SWITCH1 splice variant S
Os10g01680.1 hypersensitivity-related gene
Os04g08270.1 limit dextrinase
Os10g20990.1 ribosomal protein S12
F-box domain containing protein
Os06g35990.1 hypothetical protein
Comparative analysis of 3' palindrome folding properties
Maize helitrons contain more vestiges of genes than either rice or Arabidopsis helitrons; we postulated that this difference could be mechanistic and perhaps reflected by sequence characteristics among species. More specifically, 3' palindromes of helitrons are hypothesized to play a role in replication termination . If this is true, we predicted that rice would have stronger 3' palindromes, facilitating less "leaky" termination, commensurately less incorporation of flanking nucleotides during replication, and therefore less gene capture. We tested this hypothesis by isolating 50 bp of the 3' of each of our helitrons in maize and japonica rice and submitting them to UNAfold analysis to estimate the average free energy of folding (d). Contrary to our prediction, the 552 predicted japonica rice helitrons have d values significantly higher than that of our collection of maize helitrons, with d = -3.50 (SD = 1.82) and d = -5.21 (SD = 2.84) for rice and maize, respectively (t-test, p < 0.001). The difference remains significant whether one compares polymorphic helitrons between maize and rice (dmaize = -5.51; drice = -3.44; p < 0.001) or fixed helitrons between maize and rice (dmaize = -4.94; drice = -3.53; p < 0.001). In contrast there is no significant difference in d between polymorphic and fixed helitrons within either species (data not shown). Thus, there are differences in 3' folding characteristics between maize and rice, but the direction of the difference was contrary to our prediction in that the rice elements have weaker 3' palindromes on average.
Non-autonomous helitrons can be difficult to identify both because their internal sequences are not well conserved and because they lack the obvious features of some class I and class II elements. We pursued two approaches to identify helitrons in maize, both of which were based on the ~40 bp 3' and 5' elements ends. An iterative, BLAST-based method yielded a non-redundant set of 23 predicted maize helitrons. Our predicted set of maize helitrons is smaller than that of Du et al. , for two reasons. First, we may have searched an earlier version of Genbank (the Genbank version searched by Du et al.  was unspecified). Second, Du et al.  used perl regular expression searches based on 18 and 30 bp queries for the 5' and 3' ends, respectively, which is shorter than many of our BLAST hits and may not be sufficient for appropriate identification of helitrons . Nonetheless, 18 bp and 30 bp queries do appear to adequately cover the length of conserved 5' and 3' motifs (Figure 2).
We used our set of maize (12 'seed' helitrons and 23 'predicted' helitrons) and similarly identified rice helitrons to construct profile HMMs for each terminal region and each species. The rice HMMs ranked the rice training sequences near the top of the list of all potential genome hits and identified > 500 elements in each of the japonica and indica genomes, representing the first genome-wide description of putative helitrons in rice. Five features of this sequence collection suggest they represent bona fide rice helitrons: i) the end sequences feature known hallmarks of helitron 3' and 5' ends (Fig. 2); ii) the 3' and 5' ends are found much more often than expected in random sequences; iii) some elements are polymorphic between japonica and indica (e.g., Figure S1); iv) the elements share internal similarities, even though internal similarity was not a search criterion; and v) the putative rice helitrons contain gene fragments, like helitrons in other plant species. The effectiveness of the rice HMMs may be due to the presence of a large, 508-member subfamily with similar sequence properties that provide a template for HMM convergence. In contrast, maize HMMs failed to achieve an acceptable rate of recall and did not effectively model the 5' and 3' motifs. One potential explanation for the failure of the maize HMM is the limited maize genomic data available at the time of the analysis. However we suspect, but cannot prove, that the failure of HMMs to converge reflects a broader diversity of helitrons in maize than rice, with perhaps more subfamilies of fewer members. This conjecture is supported by the fact that single-linkage clustering of our maize elements yielded a largest cluster of only 5 elements, with 21 of 35 elements remaining as singletons, suggesting maize helitrons share few extensive internal sequence characteristics.
Nonetheless, our number of predicted helitrons in maize is sufficient to categorize substantial differences among species. First, at an average length of 4616 bp, maize helitrons are longer than those of the other two species, with average lengths of 441 bp and 950 bp for rice and Arabidopsis, respectively. Second, both rice and Arabidopsis have clear subfamily structure. This study identified at least one major subfamily of non-autonomous elements in rice, with > 500 elements. Although several distinct subfamilies of non-autonomous helitrons have been identified in Arabidopsis , a subfamily > 200 members predominates the genomic landscape . The lack of maize clusters with > 5 elements may be in part an effect of small sample, but nonetheless the difference in single-linkage clusters among species is suggestive that patterns of helitron diversity vary substantially among angiosperm species.
Helitron polymorphism among individuals
It is also useful to compare polymorphism among individuals across maize, rice and Arabidopsis. The 12 'seed' helitrons in maize were identified by virtue of the fact that they were polymorphic among individuals, so this was not a random set and cannot be considered to provide an unbiased window into the rate of helitron presence/absence polymorphism. We did find, however, that five of our maize helitrons were polymorphic in a sample of 8 inbred lines, out of 15 predicted helitrons for which we were able to procure clean and repeatable PCR results. In rice, we found a maximal polymorphism rate of 27% between japonica and indica, and in A. thaliana, 51% of 278 non-autonomous elements were polymorphic in a sample of 47 individuals .
The percentage of polymorphic elements is not directly comparable among species because the percentage is an increasing function of the number of individuals assayed for polymorphism. However, one can compare diversity with Watterson's θ , which corrects for sample size and can be used as an estimate of per element helitron polymorphism among individuals. The estimate of θ for rice is 0.27, while that of maize and Arabidopsis are similar at 0.13 and 0.11, respectively. As noted above, the value for rice is undoubtedly inflated by incomplete sequence data between japonica and indica rice genomes. Indeed, long TBLs in the rice helitron phylogenies suggest that few element insertions have been recent (Figure 3), suggesting that few helitrons should be polymorphic between japonica and indica. Nonetheless, the fact that θ per element is similar between maize and Arabidopsis suggests that: i) our helitron predictions yield reasonable answers, in terms of the polymorphism levels of non-autonomous helitrons polymorphism in maize relative to the much better characterized genome of Arabidopsis and/or ii) maize helitrons may not be exceptionally polymorphic among individuals relative to helitrons in other angiosperm species.
Perhaps the most puzzling difference among species is the extent of gene capture. The propensity for maize helitrons to capture gene fragments is well known [14–16, 18]; our additional analyses of gene capture events only serve to corroborate these earlier observations (Table 1). In contrast, the relative dearth of gene fragments in non-autonomous helitrons has been characterized in A. thaliana and now rice (Table 2). Although gene capture is a predominant feature of maize helitrons, it may not be a common feature of plant helitrons sensu lato.
Why is gene capture common in maize, relative to Arabidopsis and rice? One obvious consideration is sampling biases. As described above, the complement of non-autonomous helitrons described to date in both Arabidopsis and rice are dominated by a single subfamily. It is possible that gene capture is for some reason particularly rare in these subfamilies, and that helitrons representing gene capture events have escaped identification by the different methods used in this study and the study of Arabidopsis . Another sampling phenomenon could apply to maize, in that our sample of maize helitrons may be non-representative, thereby over-representing the prevalence of gene capture. Yet, this also seems unlikely because previously described, polymorphic helitrons also contain a number of gene fragments [9, 15, 17, 18, 21].
Another possibility for differences in gene capture, along with sampling phenomena, is time. Yet, the effects of time are difficult to predict precisely. One the one hand, if helitrons are older in maize, then there may have been more time for gene capture events to occur. On the other hand (and somewhat paradoxically), it might be reasonable to expect younger elements to contain more captured gene fragments. The reasoning here is that captured gene fragments, which can be expressed [15, 18], might be particularly deleterious for genome function. If that is generally the case, non-autonomous helitrons with gene fragments will be preferentially removed from the genome over helitrons that do not harbor expressed gene fragments. That is, older elements should have fewer gene fragments.
Although the predicted relationship between time and gene capture is unclear, several features of our data suggest that time does not drive the observed differences among species. On the one hand, many (17 of 35 of our total sample) of the maize helitrons are new insertions, given that they are polymorphic among inbred lines. However, Arabidopsis helitrons have similar levels of polymorphism among individuals and thus are also recent. Arabidopsis elements have amplified within 5 mya , after the divergence of A. thaliana from its sister species A. lyrata . Yet, despite potentially similar time dynamics, maize and Arabidopsis helitrons differ markedly in the number of gene capture events. Moreover, rice and Arabidopsis helitrons have comparable numbers of gene capture events, but helitrons in these two species seem to differ dramatically in terms of evolutionary time, with the rice elements providing little evidence of recent transposition events based on TBLs (Figure 3).
A third possible contributor to the difference in gene capture is differences in the fidelity of replication mechanisms. We proposed that the properties of 3' palindromes could differ between species, thinking that the species with weaker palindromes would have 'leakier' replication that resulted in the poor termination of replication and accompanying incorporation of flanking genes. We did find a difference in the free energy of folding between maize and rice, but it differed in direction from our prediction; maize helitrons have stronger 3' palindromes than rice. This observation is not easy to reconcile with our prediction, but does call to question the functional significance of 3' palindromes.
The functional roll of palindromes in the termination of replication is at this point hypothetical . In fact, Brunner et al  suggest that the 3' end of helitrons plays a role in the initiation (not the termination) of transposition. They base this argument on their observation that 3' ends appear to be more conserved than 5' ends; this observation is supported, but only nominally, by our 3' and 5' nucleotide profiles (Figure 2). If the 3' ends serve to initiate transposition, one might predict that more recent and active elements will have strong palindromes, but we detect no difference in d between helitrons that are recent (i.e., polymorphic among individuals) and older (present in all assayed individuals). Added to this mystery, helitrons have been found recently without 3' palindromes , suggesting that the 3' hairpins may not be necessary for element function at all.
Why do maize helitrons capture so many genes relative to rice and Arabidopsis? It is hard to make convincing arguments for time, enhanced polymorphism levels among individuals, or properties of 3' hairpins, and thus the answer to this question remains a mystery. One factor that we cannot address properly here is genomic defense; both rice and Arabidopsis have small genomes, and they may more effectively purge long elements (with gene capture events) to maintain genome size . Another possibility is that maize has more total transposition events. The number of transposition events is the product of the potentially mobile elements (which is itself a function of the number and ratio of autonomous to non-autonomous elements) along with the transposition rate per element . With more events, there is more opportunity for gene capture. There is, however, currently no data to argue for or against the idea that maize has had more transposition events in its recent evolutionary history than either maize or Arabidopsis. A third possibility is that gene capture leads almost immediately to new helitron subfamilies. Each new subfamily then may represent a new TE invasion event  that can escape genomic defenses. Hence, once gene capture begins, it can become a run-away process, but then the mystery is how it begins. Unfortunately, there is currently not enough information about helitron copy number in maize, the diversity of helitrons in maize, or the transposition rates of helitrons in any species to make definitive conclusions. Additional analysis of the full maize genome sequence will provide some insights, but additional information about transposition rates and population dynamics will also be critical for understanding the striking differences among helitrons of different angiosperm species.
To start our search, we used 12 published helitrons to initialize our "seed set" [12, 15, 21, 22] (Table S1). Our maize search was based on genomic data from Genbank release 149.0. Our investigation of rice included the TIGR Rice Genome Annotation, Release 5, for japonica rice, and data for indica rice genome from BGI-RIS FTP (as of 01/26/2005).
Computational identification of helitrons
To identify helitrons, we applied two separate approaches. The first approach is represented in Figure 1. Briefly, we extracted 80 bp flanking regions of ends of 12 known maize helitrons, 40 bp upstream and 40 downstream from the 5' and 3' insertion sites of known helitrons, and used BLASTn  to search for paired-matches to these 80 bp terminal regions in all plant entries into Genbank release 149.0. This BLAST search generated two sets of BLAST hits, one set for 3' terminal regions and one for 5' terminal regions. Next matches for putative helitrons were found by looking for pairs of BLAST hits (e-value < = 1e-5) that were in the same GenBank entry, on the same strand, and less than 20,000 bases apart.
Many of our initial hits were actually the same region identified multiple times, both because there is redundancy in Genbank entries and also because our paired-matching criteria sometimes matched several 3' ends to one 5' end, or vice versa. Additionally some new helitron termini matched more than one of the 12 known helitron termini. To correct redundancy we examined 40 bp putative flanking regions; if both flanking regions were identical, the regions were deemed redundant. After all redundant hits were eliminated, each new putative helitron was hand inspected and then added to the seed set of the original 12 helitrons and the search was repeated. This strategy was repeated four times until no new elements were identified.
To find helitrons in the two available rice genomes we built a profile HMM using HMMER 1.8.5 http://hmmer.janelia.org/ with default values for the complete set of helitron terminal regions, including putative maize helitrons identified by the BLAST methodology described above. Using the profile HMMs, we scanned the genomes, looking for hits that were separated by at least 200 bp and no more than 20,000 bp and in the proper orientation. We then manually curated this set of putative helitrons to remove any remaining artifacts of the search method. To compare our results to a randomized genome, we first obtained the probabilities of observing each nucleotide given the previous two observed nucleotides. We then picked a random sequence of three nucleotides from the original sequence as our starting point and generated a random walk, given the transition probabilities, to create a new random sequence the same length as the original sequence. In this way, our randomized genomes contained not only the same base pair frequencies as the japonica genome but also maintained some of compositional structure (to the second order) along a sequence.
Cataloging gene fragments
Our set of maize helitrons was used as a BLASTn query against three sources: i) all maize genomic nucleotide data available in genbank (Zea mays DNA sequences 12.507) ii) maize coding sequence (CDS) available from TIGR http://www.tigr.org/tdb/e2k1/osa1/ and iii) ESTs from dbEST as of December 12, 2007 http://www.ncbi.nlm.nih.gov/gquery/. Similarly, rice helitrons were used as a blastn query in a search against the rice (CDS) database from TIGR Rice Annotation Release 5.0 (January 24, 2007). An E-value cutoff of 1e-10 was used for all BLAST searches, and gene fragment hits were verified manually.
Molecular evolutionary analyses
Helitrons were clustered into subfamilies by single-linkage clustering, based on linkages defined by local alignments representing ≥ 60% of the shortest sequences and identities ≥ 80% over the alignment. Sequences in the largest japonica rice subfamily were aligned using the ClustalW multiple alignment program. This alignment was manually checked using BioEdit . MEGA 3.1  was used to build a neighbor-joining phylogeny using pairwise deletion, the Kimura 2-parameter substitution model  and 5,000 bootstrap replicates. For each species, Watterson's estimate of θ  was calculated on the basis of a presence/absence matrix of all helitrons in all individuals. Conserved nucleotides were estimated with WebLogo .
In maize, we assessed polymorphism experimentally by performing a PCR survey in a panel of maize inbred lines. For each putative maize helitron three primers were designed, two flanking primers outside the helitron and one internal primer within the putative element. Following Hollister and Gaut (2007), two PCR amplifications were performed for each helitron: one reaction that flanked the putative helitron, and a second reaction that includes a flanking primer with a primer internal to the predicted helitron element. Primer sequences are available (Table S1). All primers were designed using Primer3 , with default conditions. Sequence from maize inbred line B73 was used to design the majority of the putative helitron primers; however several helitron primer sets were designed based on sequence information from other inbred lines such as BSS53 (Supp. Table X). All PCR utilized a 58/51 touchdown protocol with 1 min denaturing at 95C, 45 s annealing at 58C, and 1.5 min extension at 70C for 15 cycles and 10 cycles of 1 min denaturing at 95C, 45 s annealing at 51C, and 1.5 min extension at 70C followed by a 7 min elongation period at 70C. Element presence and absence was assessed in a panel of eight inbred lines, including B73 (often as a positive control for presence), Mo17, Tx601, W153, Ky21, T8, Mo24 and OH43. Additionally, some elements were assessed for presence/absence in a panel of six maize landraces and two Zea mays ssp. parviglumis individuals.
Polymorphism for rice helitrons was assessed computationally by comparing the indica and japonica genomes. We concatenated sequences 100 bp upstream and 100 bp downstream of the helitrons to find possible pairings between the two rice genomes. Blast hits of these concatenated sequences between japonica and indica were considered homologues with e-values < = 1e-40. The ordering of the helitrons within each chromosome was determined by their position in the sequence. For the indica genome, we also had to order the superscaffolds, which was done by aligning the superscaffolds from indica to the whole chromosomes in japonica using MUMmer . Given this information, we applied the maximal non crossing matching algorithm to the ordered helitrons, ultimately estimating the maximum proportion of homologous helitrons in collinear order .
The free energy of folding (dG) of sequence fragments was estimated with UNAFold . To examine the distribution of dG along complete helitron sequences, we first identified sequences between 4 and 20 bp that had an inverted sequence with a loop length between 1 and 10 bp and score greater than zero, when the score was calculated as the number of matches minus 2 times the number of mismatches.
The authors would like to thank P. Baldi, J. Hollister, S. Lockton and J. Ross-Ibarra for discussion. This work supported by NSF grant DBI-0320683 to BG.
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