Present address: Institut National de Recherche Agronomique - Centre National de la Recherche Scientifique- Université Paris XI - AgroParisTech, Unité Mixte de Recherche 0320, Génétique Végétale, Ferme du Moulon, F-91190 Gif sur Yvette, France.
Institut National de Recherche Agronomique, Unité de Recherche 0341 Mathématique et Informatique Appliquées, F-78352 Jouy en Josas cedex, France
Chromosome rearrangements are common, but their dynamics over time, mechanisms of occurrence and the genomic features that shape their distribution and rate are still poorly understood. We used allohaploid Brassica napus (AC, n = 19) as a model to analyze the effect of genomic features on the formation and diversity of meiotically driven chromosome rearrangements. We showed that allohaploid B. napus meiosis leads to extensive new structural diversity. Almost every allohaploid offspring carried a unique combination of multiple rearrangements throughout the genome, and was thus structurally differentiated from both its haploid parent and its sister plants. This large amount of genome reshuffling was remarkably well-tolerated in the heterozygous state, as neither male nor female fertility were strongly reduced, and meiosis behavior was normal in most cases. We also used a quantitative statistical model, which accounted for 75% of the observed variation in rearrangement rates, to show that the distribution of meiotically driven chromosome rearrangements was not random but was shaped by three principal genomic features. In descending order of importance, the rate of marker loss increased strongly with genetic distance from the centromere, the degree of collinearity between chromosomes, and the genome of origin (A < C). Overall, our results demonstrate that B. napus accumulates a large number of genetic changes, but these rearrangements are not randomly distributed in the genome. The structural genetic diversity produced by the allohaploid pathway and its role in the evolution of polyploid species compared to diploid meiosis are discussed.
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It is also unclear whether chromosome rearrangements can occur in any part of the genome (Rieseberg et al., 1995; Rieseberg, 2001; Navarro and Barton, 2003; Nicolas et al., 2007). In Caenorhabditis elegans and Saccharomyces cerevisiae, essential genes tend to be clustered in less-rearranged, low-recombinogenic regions of the genome (Fischer et al., 2006). This suggests that selection acted to modify both the fine-scale intra-genomic variation in the recombination rate and the distribution of essential genes (Hurst et al., 2004). A similar correlation between gene order and recombination rate has been reported in diploid and polyploid wheat. In this species, gene loss and duplication follow a positive gradient along the centromere–telomere axis that correlates with recombination rates (Akhunov et al., 2003a,b, 2007; Dvorak and Akhunov, 2005). However, the mechanisms underpinning this correlation remain unknown.
Brassica napus (AACC, 2n = 38) is an excellent model for investigating the dynamics of meiotically driven chromosome rearrangements in polyploid genomes (reviewed by Gaeta and Pires, 2010; see also Szadkowski et al., 2010, 2011 and Xiong et al., 2011). Brassica napus is a young allopolyploid species that was formed by repeated inter-specific hybridization and genome doubling between its ancestors Brassica oleracea (CC, 2n = 18) and Brassica rapa (AA, 2n = 20) (U, 1935; Palmer et al., 1983; Song and Osborn, 1992). It is now clear that a whole-genome triplication event (i.e. paleohexaploidy event) occurred in these species soon after divergence between the Arabidopsis and Brassica lineages, 13–17 millions years ago (Wang et al., 2011a). Studies in B. napus allohaploids (AC, 19 chromosomes; Nicolas et al., 2007, 2009), B. oleracea × B. rapa F1 inter-specific hybrids (Szadkowski et al., 2011) and corresponding resynthesized S0 amphidiploids (Song et al., 1995; Gaeta et al., 2007; Szadkowski et al., 2011) have shown that extensive chromosome changes, commonly described as translocations or rearrangements, are the result of meiotic cross-overs between non-homologous chromosomes. These cross-overs most commonly, but not invariably, occur between homeologous chromosomes (Nicolas et al., 2007). However, autosyndetic bivalents between pairs of A chromosomes or pairs of C chromosomes were nonetheless detected during meiosis of B. napus allohaploid plants (Nicolas et al., 2007, 2009) or inter-specific A×C hybrids (Szadkowski et al., 2011). The products of meiotic cross-overs between homeologous chromosomes were found to segregate naturally among B. napus accessions (e.g. Lombard and Delourme, 2001) and contribute to variation for some relevant agronomic traits (Osborn et al., 2003; Pires et al., 2004; Zhao et al., 2006). Two studies reported that chromosome rearrangements were not randomly distributed across the genome (Gaeta et al., 2007; Xiong et al., 2011). However, the importance of chromosomal features, such as the position along the centromere–telomere axis, in determining this pattern has not yet been specifically addressed. In addition, neither of these studies provided a clear estimation or description of genome-wide structural variation in the progeny of B. napus synthetics or related plants.
The aim of this study was to investigate the structural dynamics of an allopolyploid species by (i) measuring the extent of genome-wide structural diversity in the progeny of B. napus allohaploids, and (ii) analyzing how this overall variation is affected by different levels of chromosome organization. Using appropriate statistical modeling, we examined whether chromosome rearrangements are randomly distributed in the genome, and determined which chromosome features affect genomic susceptibility to chromosome rearrangements. This study is thus complementary to our previous reports in which we demonstrated that genetic changes are mainly driven by meiotic cross-overs between non-homologous chromosomes (Nicolas et al., 2007), the frequency of which depended on the alleles present at a major locus, called PrBn (Nicolas et al., 2009). However, further studies were required to fully characterize and model the structural diversity within the progeny of allohaploids, the structural genomic features that modulate the rate and distribution of chromosome rearrangements throughout the genome, and the consequences of this structural diversity on plant fitness. These goals are achieved and discussed here.
A total of 149 and 141 markers were previously mapped on a double allohaploid derived from the Darmor-bzh × Yudal cross (Figure 1; see Table S1 for details). In this study, these markers were used to genotype two F1 populations obtained by crossing allohaploid plants (n =19) with euploid plants (2n = 38) from genotypes Darmor-bzh and Yudal (see Nicolas et al., 2009; for a detailed marker list, positions, and information on crosses). Non-additive transmission of allohaploid parental markers (PCR fragment loss), covering 75% of the genetic map, was used to detect de novo chromosome rearrangements that were generated during meiosis of the allohaploid parent and transmitted to their progeny by unreduced gametes (Nicolas et al., 2007).
Mapping de novo rearrangements throughout the genome in the progeny of allohaploids
Analysis of marker additivity showed fragment losses for more than 75% of markers in at least one of the progenies, with 25% of loci being rearranged in more than 7.5% of plants. In more than 97% of cases, the missing alleles were from the allohaploid parents (Table S1), demonstrating that the vast majority of chromosome rearrangements were generated during meiosis of the allohaploid plants. In fact, the frequency of genetic changes per locus was highly variable throughout the genome (Figure 1), varying in a non-random manner from 0 to 22% depending on where the loci were localized in the genome or along chromosomes (see detailed analysis below).
Considering the simultaneous loss of adjacent parental markers in one plant as derived from the same rearrangement, we scored a total of 454 chromosome rearrangements in the two progenies (Figure 1). The type and size of chromosome rearrangements generated during allohaploid meiosis varied depending on the localization and number of rearrangement breakpoints on the chromosome (Figure 1). Five types of chromosome rearrangements were differentiated (Figure 1 and Table S1): (i) distal (one breakpoint), (ii) interstitial (two breakpoints), (iii) double distal (two breakpoints), (iv) distal and interstitial (three breakpoints), and (v) double interstitial (four breakpoints). Simple distal rearrangements were the most frequent (73%), followed by interstitial (22%), distal and interstitial (3%) and double distal (3%) rearrangements. The last two categories, which led to concurrent removal of two regions on a single chromosome, were only observed for eight of the most rearranged linkage groups (A1, C1, A2, C2, A4, C3, C7 and C9; z =3.5, P value <0.001; Figure 1). When the distribution of the linkage groups encompassing one, two, three or more breakpoints was compared to the distribution expected by chance, we found that multiple breakpoints occurred more frequently than expected by chance (χ2 = 57, P value <0.001). The genetic size of the removed regions was highly variable throughout the genome (Figure 1). Considering all rearrangements together in the two F1 populations, only 15% of the genetic map was free of rearrangements (Figure 2).
Allohaploid meiosis generated extensive and transgressive genetic diversity
The allohaploid × euploid cross led to highly differentiated progenies. We used factorial analyses to analyze the overall structural diversity (Figure 3) and phylogenetic trees (Figure S1) to examine genomic similarities among individuals, and observed a continuous distribution among plants, with very little overlap in the first plane of the factorial analyses; these distributions centred on the small number of plants showing complete genetic similarity with their allohaploid parents (Figure 3). The wider dispersion observed in the Darmor-bzh allohaploid progenies compared to the Yudal allohaploid progenies indicated that genotype diversity correlates with the frequency of meiotic cross-overs in the two allohaploid parents. Analysis of multi-locus genotypes revealed that, in the two progenies, most plants display a unique combination of chromosome rearrangements (Figure S1). Using the presence/absence of parental allohaploid alleles to measure genomic similarities, we estimated mean differences of 2.7 and 9.1% between plants within the progeny of Darmor-bzh and Yudal, respectively (Figure S2). The most divergent genotypes (D13H19 versus D1H2 or D13H17 versus D1H28) shared only 67% of parental alleles, and had different rearrangements on 11 of 19 chromosomes (A1, A2, A3, A4, A8, C7, C1, C5, C7, C8 and C9) (Figure S3). Excluding genotypes with no rearrangements, only 3% of parental alleles were different in the most similar genotypes. However, these genotypes usually still showed different combinations of chromosome rearrangements (see the D8H6–D4H5 pair in Figure S3). Allohaploid progeny could be grouped depending on whether they shared the same rearranged linkage groups or not, suggesting that occurrence of these rearrangements is not random within, but also between, linkage groups (Figure 4).
We then tested whether rearrangements occurred or segregated independently from one another by analyzing correlations between the occurrence of rearrangements in two linkage groups (Figure S4) or at two loci (linkage disequilibrium; Figures 5 and S5). After correction for multiple comparisons, no or poorly significant correlations were found between linkage groups (corrected P value between 5 and 10%) that mostly involved A and C chromosomes (Figure S4). In contrast, strong and significant positive correlations were found between adjacent loci within a linkage group (Figures 4 and S5); these correlations were expected as a consequence of the concurrent loss of linked loci caused by proximal cross-overs. The significant correlations between locus plotted in Figures 4 and S5 show that the frequency of PCR fragment loss at some loci changes based on the frequency of fragment loss at some other loci located on another chromosome. This indicates that the incidence of rearrangements occurred non-independently throughout the genome. However, the number of rearrangements observed in our two haploid progenies did not provide enough statistical power to identify and measure accurately the correlation between loci and linkage groups.
The distribution of rearrangements throughout the genome is not random; it depends on genome structure
Figure 1 showed that rearrangements are not randomly distributed among chromosomes. We used a generalized binomial log linear model to identify the main source of variation among rearrangement rates. The only chromosome features that had a significant effect on the rearrangement rate were the genome origin, the degree of collinearity between homeologues, and the genetic distance from the centromere (Table 1). The effects of these genomic factors did not depend on the genotype or each other, as no significant interactions were detected between factors or genotype. To quantify the effects of these genomic features, we performed an analysis of variance on the probability of rearrangements occurring at each locus predicted by our model (Table S2).
Table 1. Deviance analysis of the reduced model for variation in the rearrangement rate obtained by selection based on the Bayesian information criterion
Kenward–Roger degree of freedom
Genotype of haploid parent
Degree of collinearity
Genetic distance from the centromere
The genetic distance from the centromere clearly had the most influence on the partitioning of rearrangements between loci. It explained 22% of variation in rearrangement rates throughout the genome (Table S2). Overall, the most distal loci were the most frequently rearranged (Figures 1 and S6). Only a small number of loci did not follow this rule (e.g. Na14F11b at the bottom of A1 in allohaploid Darmor-bzh progeny, Na14F11a at the bottom of C1 in allohaploid Yudal progeny).
To determine whether the non-random distribution of rearrangements within the chromosome originated from the non-random distribution of rearrangement breakpoints, we used a generalized binomial log linear model to study the factors influencing breakpoint distribution throughout the genome. The genetic distance from the centromere had no significant effect on the breakpoint rate if it was assumed that the breakpoints occurred in the middle of an interval delineated by the presence and absence of parental markers at two adjacent loci (Table S3). The main genomic factor explaining the distribution of breakpoints throughout the genome was the genetic size of the interval (Table S4). The breakpoint rate was positively and significantly correlated with the rate of homologous recombination between the two markers delineated this interval within the Darmor-bzh×Yudal reference genetic map (r2 = 0.3, P < 0.001). Thus, the increase in rearrangement rate in the most distal chromosome regions stems mostly from the accumulation of distal rearrangements produced by single cross-overs distributed all along the centromere–telomere axis following a pattern similar to that of homologous cross-overs.
The second strongest genomic factor identified by our model was the degree of collinearity between homeologous chromosomes (Figure S6). This variable accounted for 7% of the rearrangement rate between loci and the breakpoint rate between intervals (Table S2). Totally collinear linkage groups (A1, C1, A2, C2, A3, A4 and A8) showed approximately twice as many rearrangements (Confidence Interval = 1.1–2.5) as partially collinear linkage groups (0.159 versus 0.086 missing regions per plant and per linkage group, P < 0.0001). This twofold difference is not simply due to the presence of simultaneous rearrangements on two chromosome arms as a significant difference remained even when only the simple distal rearrangements were considered and simultaneous rearrangement on both arms was excluded (0.105 versus 0.061 missing regions per plant and per linkage group, P < 0.001).
The genome (A or C) at which the locus is located had the least effect, but it was still significant, accounting for 4% of the rearrangement rate between loci (Table S2). Comparison of the rearrangement rate showed that allohaploid parental markers were lost more frequently than duplicated at several loci on the C genome (0.133 versus 0.094 missing regions per plant and per linkage group, P < 0.0001), whereas the opposite phenomenon was observed for corresponding homeologous A genome loci (Figure 1). Breakpoint rates were also significantly different between the two genomes (1.9 versus 2.4% in genomes A and C, respectively, χ2 = 8.3, P < 0.001). These differences cannot be explained by a difference in genome coverage or marker density as these were very similar for the A and C genomes (Table S5).
Finally, our very simple model, which included the genomic factors described above and the allohaploid genotype, was very good at predicting variation in the rearrangement rate, as the correlation between the expected and observed rearrangement rate was 0.7 (Table S2). Thus the genomic features identified here explain half of the variation in rearrangement rates between loci. The genetic distance from the centromere was the only genomic factor explaining the intra-chromosome variation, while the genome origin and degree of collinearity together explained the inter-chromosome variation. Finally our model predicts the variation in rearrangement rates with the genetic distance from the centromere for both the haploid parents and in relation to the degree of collinearity (Figure S6).
Relationship between chromosome rearrangements, fertility and meiotic behavior in the progeny of B. napus allohaploids
Comparison of meiotic behavior between the progenies of allohaploid and euploid plants showed that the chromosome rearrangements described above disrupt meiosis. Euploid plants showed 19 bivalents in all pollen mother cells, but the progeny of allohaploid Darmor-bzh and Yudal showed irregular meiosis, with only 69 and 80% of pollen mother cells carrying 19 bivalents, respectively (out of 383 and 295 pollen mother cells observed, respectively). The meiotic behavior varied strongly between offspring within each progeny of allohaploids, as the proportion of pollen mother cells with 19 bivalents ranged from 25–100 to 55–95% in the progeny of allohaploid Darmor-bzh and Yudal, respectively (Table S6). Surprisingly, there was a weak relationship between variations in meiotic behavior and the number of removed regions carried by allohaploid offspring (Figure S7). We analyzed the effect of these disruptions on male and female fertility (Tables S7 and S8).
Male fertility, estimated by counting the number of viable pollen grain (Table S7), was significantly reduced in the progeny of the Darmor-bzh allohaploid compared to the progeny of euploid controls (82 versus 96% acetocarmine-stained pollen grains, χ2 = 2043, degree of freedom = 1, P <0.01%). Likewise, these plants showed reduced female fertility even though they produced a mean of 10.3 seeds per silique (Table S8). As expected, we observed that, on average, male and female fertility were increasingly affected as the number of removed regions in a plant increased (Figure 5). This relationship was illustrated by comparing the progeny of Darmor-bzh versus Yudal allohaploids. Darmor-bzh progeny showed more rearrangements and an increased number of less fertile plants than Yudal (82 versus 95% of acetocarmine-stained pollen grains, χ2 = 9820, degree of freedom = 1, P <0.1%; 10.3 versus 18.5 seeds per silique, t =14, degree of freedom = 209, P <0.01%). However, the negative relationship between the number of rearrangements and fertility was weak; we observed some plants in which only one rearrangement was detected but that showed much reduced male and female fertility, while others, which carried a minimum of five or six rearrangements, were almost as fertile as the controls (Figure 5). Thus, although it is clear that significant genome rearrangements decrease plant fitness, this is a weak effect that is difficult to predict based solely on marker additivity in the progeny of allohaploid plants.
Here we showed that meiosis in B. napus allohaploids generates a large amount of new genetic diversity, with multiple de novo chromosome rearrangements segregating in the progenies of these plants. These de novo chromosome rearrangements, which are remarkably tolerated by B. napus in the heterozygous state, are not randomly distributed throughout the genome. Their frequency largely depends on the genetic distance from the centromere, the degree of collinearity between homeologues, and the genome of origin. These effects are not genotype-dependent (Darmor-bzh versus Yudal) (see Nicolas et al., 2009), and illustrate particular properties of polyploid plant genomes.
The rates of chromosome evolution are heterogeneous across taxa, suggesting that different aspects of their biology predispose some species to high rates of chromosome evolution while others remain quiescent. The results of our study demonstrate that non-homologous meiotic recombination can drive extraordinary new structural diversity (Figure 1). We observed that most progeny of B. napus allohaploids displayed a original combination of distal and/or interstitial chromosome rearrangements. However, the overall structural diversity may still be under-estimated. A significant number of cryptic chromosome rearrangements remained undetected in the progenies, either because they occurred in regions that are poorly spanned by markers, or because individuals carrying them showed marker additivity in the case of reciprocal translocations (Nicolas et al., 2007; Gaeta and Pires, 2010). Such reciprocal exchanges represent half of the genetic changes generated by meiotic cross-overs (Nicolas et al., 2007); their widespread occurrence explains why the observed number of changes per plant was only poorly correlated with meiotic regularity. Because loss of the same region may correspond to various events (Nicolas et al., 2007, 2009), it may be that almost all the plants derived from an allohaploid × euploid cross are different from one another when the frequency of meiotic cross-overs is high. This extensive structural diversity is greater than that produced during meiosis of natural and synthetic euploid B. napus (Song et al., 1995; Udall et al., 2005; Lukens et al., 2006). Multiple chromosome rearrangements were especially common in allohaploid progeny, with some plants showing up to ten chromosome rearrangements. We also observed a significant number of rearrangements on a series of chromosomes for which only a few or no rearrangements were detected in the progeny of natural and synthetic B. napus lines (e.g. A6, A7, A8, A10, C6 and C7; see Udall et al., 2005; Gaeta et al., 2007). Most of these rearrangements originated from cross-overs between homeologous chromosomes, although some resulted from cross-over formation between the duplicated regions retained from ancestral triplication of the Brassiceae (Nicolas et al., 2007; discussed in Nicolas et al., 2008). As a consequence, few, if any, regions of the genomes (15% of the genetic map) are protected from rearrangement in the progeny of B. napus allohaploids.
Our results provide interesting insights into the timing and forces that drive genome evolution across and within species, particularly allopolyploid species. We have shown that a burst of chromosome rearrangements can generate a wealth of structural variation in one go. This burst confirms, and extends at the whole-genome level, the conclusions of Szadkowski et al. (2011) who analyzed the progeny of B. oleracea × B. rapa F1 inter-specific hybrids on the A1–C1 chromosome pair. As there are slightly more cross-overs between non-homologous chromosomes in these hybrids than in B. napus allohaploids (Cifuentes et al., 2010), an even greater structural diversity is expected in the progeny of these hybrids. Meiosis in inter-specific hybrids and allohaploids increases cross-over formation between chromosomes that would only rarely recombine otherwise (see discussion in Nicolas et al., 2008). Allohaploid meiosis is also a powerful non-random mutational mechanism, as the rate of genetic change reported here (3.3% per locus and per generation depending on the genotype) is far greater than the nucleotide substitution rate (approximately 10−6) or the microsatellite mutation rate (approximately 10−3) (Freeman et al., 2006). All these results highlight the role that naturally occurring allohaploids (Ramsey and Schemske, 1998) may play in evolution; these plants are semi-fertile and generate progeny with transgressive traits when they are crossed with euploid forms (Sears, 1939; Lesins, 1952; Rao and Stokes, 1963; Jauhar, 2003). Thus, new phenotypic variation can result from the genetic changes described here. For example, Pires et al. (2004) reported that the chromosomal rearrangements originated from of cross-overs between homeologous chromosomes resulted in different flowering times.
In general, lines with extensive rearrangements also show low fertility (Gaeta and Pires, 2010). In this study, we observed that the male and female fertilities of B. napus allohaploid progeny were far from null. For example, an ‘average’ plant in the progeny of the Darmor-bzh allohaploid, which is expected to carry three inter-genomic exchanges (Nicolas et al., 2009), has a pollen viability of 83% and produces a mean of 10.3 seeds per silique. This reduction in fertility is clearly not sufficient to prevent transmission of chromosome rearrangements to the next generations, opening up a window of opportunity for natural selection to purge the most deleterious rearrangements or promote some adaptive rearrangements to colonize new environments (Rieseberg et al., 2003) and for genetic drift to fix some rearrangements in small populations.
Non-random pattern of de novo rearrangements throughout the genome
Nadeau and Sankoff (1998) raised the issue of ‘whether the extent to which the location of rearrangement breakpoints is guided by natural selection to preserve particular gene combinations, by structural DNA features that promote or restrict chromosome breakage and repair, or by simply random processes’. In this study, we demonstrated that the distribution of chromosome exchanges was non-random (Figure 1), and identified a number of chromosome features that drive differential genomic permeability to chromosome rearrangements.
Using appropriate statistical modeling, we demonstrated that the position along the centromere–telomere axis was the main source of variation in the frequency of changes throughout the genome. Generally speaking, the more distal the locus, the higher the frequency of non-additivity in the progeny (Figures 1 and S5). This pattern is similar in wheat, in which the distance from the centromere is positively correlated with the rate of homologous recombination (Dvorak and Akhunov, 2005). We also observed that the genetic size of the interval, which measures the homologous recombination rate, was positively correlated with the frequency of breakpoints (P < 0.001). When more cross-overs occur in an interval between a pair of homologous chromosomes, the number of cross-overs between non-homologous chromosomes in the same interval increases. The allocation of cross-overs between non-homologous chromosomes thus follows essentially the same rules as the distribution of homologous cross-overs. This indicates that the distribution of chromosome rearrangements is at least in part determined by the same ‘DNA features that promote or restrict chromosome breakage and repair’ between homologous chromosomes (Jones et al., 2002). The low rearrangement rate observed within centromeric regions could be explained by the same genomic features that suppress homologous recombination in this region of chromosome in almost all species (see Drouaud et al., 2006, for example). Thus, the observed pattern of genetic changes originated from the accumulation of distal chromosome rearrangements that were generated all along the chromosome in a pattern that mirrored the distribution of homologous cross-overs.
The observed pattern of structural change has several evolutionary implications. First, genes located in the distal region of the chromosomes have a greater chance of being deleted, duplicated or rearranged than more proximally located genes. In the long term, this could lead to chromosome structural stratification (Wang et al., 2011a), with the distal regions evolving faster than more proximal regions. This is consistent with the theory that the gene distribution or order across the chromosome is under selective constraint (Pal and Hurst, 2003), as supported by the preferential presence of essential genes in low-recombination centromeric regions in yeast (Fischer et al., 2006) and C. elegans (Johnsen et al., 2000). Second, the genes located in the distal part of the chromosome have more chance of being exchanged or introgressed between related species than the proximally located genes. For instance, introgressive hybridization, which is common in plants, could drive a gradient of divergence between genes belonging to relatives from a same species complex along the centromere–telomere axis. Reticulation could therefore have a greater effect on distal than proximal genes.
The second most influential source of variation in the frequency of chromosome rearrangements in the genome is the level of collinearity between homeologous chromosomes, which explained 7% of the variation for both the breakpoint and rearrangement rates (Table S2). Pairs of totally collinear homeologues showed twice as many rearranged chromosomes as other less collinear chromosomes. The same trends were observed by Gaeta et al. (2007) and more recently by Xiong et al. (2011). The mechanisms by which the degree of collinearity changes the cross-over rate are not known, but it may be hypothesized that totally collinear homeologues have a higher propensity to have their two arms simultaneously bound by chiasmata (ring bivalents). This will increase the probability of detecting at least one rearrangement on either of these two arms, and is consistent with the fact that concurrent loss of two regions on the same chromosome is rare and mainly observed for totally collinear homeologues (A1, C1, A2, C2, A4 and C3; Figure 1). Overall, our results confirm that chromosome structural differences result in different genomic permeability to genetic exchanges (Rieseberg et al., 1995).
The last factor affecting the variation in rearrangements identified by statistical modeling was the genome of origin (A versus C). We observed that, on average, regions on genome C are lost more frequently than regions on genome A (Figure S6), whereas markers on genome A are duplicated more frequently than markers on genome C (data not shown). This effect is very weak at the genome-wide scale, and the extent of this bias is actually highly variable across the genome; some regions showed extensive asymmetry in the relative rate of A versus C rearrangements (e.g. A1/C1), while others showed no obvious trend. Very similar trends were observed in some newly synthesized B. napus (Udall et al., 2005; Lukens et al., 2006), but not in others (Szadkowski et al., 2011). They cannot directly result from the molecular mechanisms that generate the rearrangements, because cross-overs lead to symmetrical exchanges (see Nicolas et al., 2008; Gaeta and Pires, 2010) and thus an even number of genetic changes on both genomes. Instead, the greater maintenance of genome A integrity may indicate that rearrangements leading to the loss of some A genomic regions are counter-selected. This may be explained in a number of ways, including biased nucleo-cytoplasmic interactions (see Szadkowski et al., 2010) or genomic dominance (Rapp et al., 2009). As asymmetrical exchanges concerned localized regions, our results strongly suggest that this asymmetry depends on the genomic content and features of the exchanged region.
In conclusion, our study showed that the distribution of meiotically driven chromosome rearrangements is not simply guided by random processes but instead results from the combined effect of recombination and selection. We highlighted the role of three genomic features in the non-random allocation of non-homologous cross-overs throughout the genome, which are partially correlated with the distribution of homologous cross-overs. A comparison of cross-over distribution in various genomic contexts (allohaploid versus euploid) may help unravel the complex interactions between recombining genes and the genome structure, which controls the cross-over distribution (Nicolas et al., 2008). The recent and ongoing assembly of the B. napus, B. rapa and B. oleracea genome sequences will help to address these questions (Wang et al., 2011b, brassica info: http://www.brassica.info/resource/sequencing.php).
Within a broader context, our results also highlight the role that allohaploid meiosis plays in the evolution of polyploid species. Allohaploid meiosis generates a burst of new genome combinations that can be transmitted to euploid populations by unreduced gametes. Depending on the regions exchanged, some of these genetic changes may lead to variations in gene contents (duplication/deletion), gene composition (replacement by related duplicated copy) or the gene environment (promoter regions), driving transgressive phenotypes that may be adaptive or not. Because allohaploids arise spontaneously in wild populations of several species, including B. napus (Thompson, 1969; Stringham and Downey, 1973), and because they are semi-fertile when they are crossed with euploid forms (Ramsey and Schemske, 1998), allohaploids could contribute to adaptation and speciation in a similar way as homoploid species (Rieseberg et al., 1995, 2003; Livingstone and Rieseberg, 2004). It will be interesting to evaluate this scenario using B. napus as a model system.
The plant material used in this study has been described previously (Nicolas et al., 2009). Allohaploid plants (AC; 19 chromosomes) from B. napus cultivars Darmor-bzh and Yudal were used as female parents in crosses with male Yudal and Darmor-bzh euploids, respectively. A total of 117 and 103 plants carrying 38 chromosomes were sorted in the two progenies.
Cytological and fertility observations
Floral buds were first fixed in Carnoy’s solution (ethanol/chloroform/acetic acid, 6:3:1) for 24 h. A minimum of ten pollen mother cells per plant were observed at metaphase I from anthers squashed and stained in a drop of 1% acetocarmine solution. A total of 34 and 19 F1 plants were analyzed in the allohaploid progenies of Darmor-bzh and Yudal, respectively (Table S6).
Male fertility was estimated by counting the number of pollen grains stained by acetocarmine solution, a specific DNA stain, to give an estimation of pollen viability. A total of 600 and 800 pollen grains from at least two flowers were observed for every plant in the allohaploid progenies of Darmor-bzh and Yudal, respectively. Seven and eight euploid Darmor-bzh and Yudal plants were included as a control (Table S7). We used the number of seeds per silique after back-crossing to a euploid parent to estimate individual female fertility for a total of 111 and 100 progenies of allohaploid Darmor-bzh and Yudal, respectively (Table S8).
Molecular analyses and detailed information on the markers used have been described previously by Nicolas et al. (2009) and are summarized in Table S5. The products of meiotic cross-overs were detected by (i) scoring the presence/absence of allohaploid parental alleles at every locus independently of the others (Table S1), (ii) considering the concurrent loss of linked loci as a consequence of a single rearrangement, and (iii) considering the number of breakpoints on linkage groups that occurred when one marker was present but the marker located on the other side of the same interval was absent. Duplications were detected for a subset of loci using allele peak height as described previously (Nicolas et al., 2007).
Statistical and molecular analysis were performed on 111 and 101 progenies of allohaploid Darmor-bzh and Yudal, respectively, after removing allohaploid offspring that had more than 20% of data missing for all loci. Almost all statistical and graphical analyses were performed using R version 2.12.1 software (R Development Core Team, 2010, http://www.R-project.org), notably the chisq.test (for χ2), fisher.test (for the exact Fisher test) and t test (for Student’s t test) functions.
Diversity analysis. Diversity analyses were performed on the basis of the absence and presence of the allohaploid parental allele at each locus in their two allohaploid progenies after removing loci that had more than 30% of data missing. To analyze the diversity in both F1 populations, we first performed a factorial analysis based on a dissimilarity matrix produced by simple matching of allohaploid parental alleles between the F1 offspring with 86 co-dominant markers (Figure 3). To explore the relationship between F1 offspring in more depth, we analyzed the two allohaploid progenies separately, because approximately 40% of the markers were dominant and therefore impossible to genotype in one of the two haploid progenies.
The mean, median and distribution of dissimilarity between F1 offspring were analyzed (Figure S2), and a phylogenetic tree was constructed using hierarchical clustering with ward methods for each F1 population (Figure S1). Factorial and phylogenic analysis were performed using DARwin software version 5.0.157 (Perrier and Jacquemoud-Collet, 2006, http://darwin.cirad.fr).
Pearson correlations and the χ2 test were used to analyze the extent to which two linkage groups or two loci were independently rearranged (Figures 4, S4 and S5). To visualize the results, we used the Corrplot and LDheatmap packages in R for linkage groups and loci, respectively.
Genome-wide quantitative analysis of chromosome rearrangements and breakpoints. We used a generalized mixed log linear binomial model to test, quantify and classify how the overall variation in chromosome rearrangements and breakpoints can be partitioned into components representing the genotype of the haploid parent (Darmor-bzh or Yudal) (abbreviated as Gnt) and various levels of chromosome organization: genome origin (A or C; abbreviated as Gnm), degree of collinearity (partial or total; abbreviated as Col), the position along the centromere–telomere axis (Figure S6), i.e. the genetic distance from the centromere (DistCent), and the genetic size of the interval between adjacent polymorphic markers (Size). Genome-wide integration of B. napus maps (Wang et al., 2011a) allowed assignment of all the Darmor-bzh × Yudal linkage groups to the A and C genomes, respectively. Linkage groups were then classified as totally (across their whole length) or only partially collinear with their homeologues using information provided by Parkin et al. (2003, 2005). The genetic distance from the centromere (DistCent) for each locus was measured using the genetic position of the centromere identified in Pouilly et al. (2008). The information on these structural features is summarized in Table S2. Rearrangements and breakpoints were considered as binary variables (presence = 1/absence = 0) for each marker or each interval in each plant. They were assumed to follow binomial distributions with the probability parameter P depending on genomic features through the logit link function and through linear mixed model predictor formulae including the following terms:
(i) for rearrangements:
fixed effects: Gnt + Gnm + Col + DisCent
random effects: LG + Locus
(ii) for breakpoints:
fixed effects: Gnt + Col + Size
random effects: Interval
where LG, Locus and Interval denote qualitative factors defined by the linkage group, locus and interval of each observation, respectively. This generalized linear mixed model was fitted using the glimmix procedure with sas 9.2® software (SAS Institute Inc., http://www.sas.com/). The selection procedure for both the fixed and random variables (Table S9 and S10), the reliability of the model (Figure S8) and the estimation of parameters in our final model are described in Appendix S1. We used the Pearson correlation between the rearrangement/breakpoint rate observed and the rate predicted by the final model to evaluate the prediction quality. The contributions of the variables to the rearrangement and breakpoint rates were quantified and compared by performing an analysis of variance on the least square means produced by the final models (Tables S2 and S4).
We thank Jean-Claude Letanneur and Marie-Odile Lucas (Unité Mixte de Recherche 1349 Institut de Genétique Environnement et de protection des Plantes, Le Rheu) for their significant contributions to the production of plant material. Nicolas S.D. was supported by fellowship from the Centre Technique Interprofessionnel des Oléagineux Métropolitains and Institut National de Recherche Agronomique – Génétique et Amélioration des Plantes. This work received financial support from the Agence Nationale de la Recherche under the Programme Biodiversité project ANR-05-BDIV-015: ‘Effet de la polyploïdie sur la biodiversité et l’évolution du génome des plantes’.