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Genome-Wide Association Study Dissects the Genetic Architecture of Seed Weight and Seed Quality in Rapeseed (Brassica napus L.)

Association mapping can quickly and efficiently dissect complex agronomic traits. Rapeseed is one of the most economically important polyploid oil crops, although its genome sequence is not yet published. In this study, a recently developed 60K Brassica Infinium® SNP array was used to analyse an association panel with 472 accessions. The single-nucleotide polymorphisms (SNPs) of the array were in silico mapped using ‘pseudomolecules’ representative of the genome of rapeseed to establish their hypothetical order and to perform association mapping of seed weight and seed quality. As a result, two significant associations on A8 and C3 of Brassica napus were detected for erucic acid content, and the peak SNPs were found to be only 233 and 128 kb away from the key genes BnaA.FAE1 and BnaC.FAE1. BnaA.FAE1 was also identified to be significantly associated with the oil content. Orthologues of Arabidopsis thaliana HAG1 were identified close to four clusters of SNPs associated with glucosinolate content on A9, C2, C7 and C9. For seed weight, we detected two association signals on A7 and A9, which were consistent with previous studies of quantitative trait loci mapping. The results indicate that our association mapping approach is suitable for fine mapping of the complex traits in rapeseed.


Introduction
Rapeseed (Brassica napus L.; AACC, 2n ¼ 38) is the one of the most important oil crops worldwide. Brassica napus is a recent allopolyploid species derived from natural interspecies hybridization between two phylogenetically close species, B. rapa (AA, 2n ¼ 20) and B. oleracea (CC, 2n ¼ 18) ,10 000 years ago. 1,2 Rapeseed has a short domestication history of only 400 -500 years. 3 -5 During the breeding history of rapeseed, the most outstanding event is the introduction of two traits, zero seed erucic acid and low seed glucosinolate content (so called double-low, canola quality 00). However, many traits such as oil content, seed yield, disease resistance, etc. urgently need to be further improved in the modern cultivars. Molecular design breeding is currently one of the most available breeding methods. Screening-specific materials with some desired traits in a comparatively genetically diverse source of germplasm including old genotypes with high levels of erucic acid and seed glucosinolates and discovering the advantageous allelic variants by genetic analysis may advance molecular design breeding.
Genetic mapping of quantitative trait loci (QTL) in rapeseed is well established and has been employed to localize QTLs for quantitative traits, such as oil content, 6 glucosinolate content, 7 fatty acid composition of the seed oil, 8 flowering time, 9 yield components, 10 -13 etc. In all these studies, although QTL mapping is very successful in detecting QTL, the genetic variation in the mapping population is restricted to only the two parents, and the markers for detected QTL are not necessarily transferable to other materials. Furthermore, the ability of fine mapping a QTL in these studies is limited by the frequency of polymorphic loci between the two parents and requires a population consisting of several thousands of individuals, making it laborious and time-consuming to perform. There is, so far, no report on map-based cloning of a causal gene in a QTL of rapeseed.
Association mapping, also called linkage disequilibrium (LD) mapping, which directly studies statistical associations between genetic markers and phenotypes in natural populations, is an alternative to QTL mapping. 14 An association mapping study utilizes the higher number of historical recombination events that have occurred throughout the entire evolutionary history of the mapping population, allowing fine-scale QTL mapping. 14,15 With the rapid developments in genomics and dramatically decreasing cost of genotyping technology, association mapping has rapidly became a promising approach for the genetic dissection of complex traits. For a species with available genome sequences such as Arabidopsis thaliana, rice, maize, etc., genome-wide association studies (GWASs) have contributed to revealing rich genetic architectures of complex traits. 16 -21 Since rapeseed contains two homologous but divergent subgenomes A and C, which were shaped by whole-genome triplication followed by extensive diploidization, 22,23 its genome structure is complex, which has hindered genomic research and high throughput discovery of high-quality molecular markers. The population structure, LD and association mapping in rapeseed were studied using amplified fragment length polymorphism and simple sequence repeat markers. 24 -29 However, due to the limited number of DNA markers and low-efficient genotyping technologies, a small number of lines or markers were used in these studies. Recent advances in sequencing and computational technology have enabled the discovery and efficient assay of large numbers of single-nucleotide polymorphism (SNP) markers in rapeseed. 30,31 Delourme et al. 32 analysed the genetic diversity and LD of a rapeseed collection of 313 inbred lines from different geographical origins using .4300 SNPs that were localized on an integrated map of rapeseed. The genomic research of Brassica genera has developed rapidly in recent years. The Brassica A genome sequence from B. rapa has been published, 33 and Brassica C genome sequencing from B. oleracea has also been completed and will be published soon (http://www.ocri-genomics.org/bolbase/). Owing to the complicated genome of B. napus, genome sequencing has not yet been completed. Based on a highdensity ( 21 K) SNP linkage map of rapeseed, 31 Harper et al. 34 refined the order and orientation of the A and C genome sequence scaffolds, constructed pseudomolecules representative of the 19 chromosomes of B. napus and successfully carried out associative transcriptomics of glucosinolate and erucic acid content in a population of 53 B. napus lines.
In this study, we genotyped a panel of 472 rapeseed accessions from all over the world using a 60K Brassica Infinium w SNP array recently developed by the international Brassica Illumina SNP consortium. By in silico mapping of the SNPs of the array to 'pseudomolecules' representative of the B. napus genome to obtain their hypothetical position, we performed a GWAS of seed weight and seed quality in B. napus. The SNPs significantly associated with traits were identified, and the candidate genes were confirmed or predicted.

Plant materials
A set of 472 rapeseed inbred lines collected from the National Mid-term Gene Bank for Oil Crops of China were used forassociation analysis. According to the information from the gene bank and our own observations, the accessions were assigned to five different germplasm types, i.e. winter oilseed rape (OSR) (160), semi-winter OSR (200), spring OSR (110), spring fodder (1) and winter fodder (1). Based on their origins, 266 accessions originated from Asia, 128 from Western Europe, 20 from Oceania, 26 from North America and 32 from Eastern Europe (Supplementary Table S1). For SNP array quality control, 12 doubled haploid (DH) lines (Supplementary  Table S2), a resynthesized B. napus SBn8, a cultivar Zhongshuang9 and their F 1 hybrid named F1ZSSB were employed.

Experiment design and traits measurement
One representative plant of each accession of the association population was self-pollinated in the 2010/ 2011 winter -spring growing season, and the leaves of each plant were sampled to extract genomic DNA. Association Study Using SNP Array in Rapeseed [Vol. 21, between rows. Before flowering time, each plot was separated by nylon net with a 0.35-mm square hole to propagate seeds. Fatty acid analysis was performed by using gas liquid chromatography (GC) with a Model 6890N GC analyzer (Agilent Technologies, Inc., Wilmington, DE, USA), following the protocol as described. 35 The erucic acid content was expressed as its percentage of total fatty acids in mature seeds. The 472 accessions of the association population were grown using a randomized complete block design with three replications in the experimental farm at Wuhan, and Nanchang (116.278E, 28.378N), China, in the 2012/2013 growing season. Each accession was grown in a plot with five rows with the same plant density abovementioned. The weight of randomly selected 1000 well-filled, open-pollinated seeds of each plot was measured to represent seed weight for one replicate of each accession. Seed oil content and total glucosinolate content were estimated by near-infrared reflectance spectroscopy (NIRS). Approximately 3 g seeds per accession were measured using a Foss NIRS Systems 5000 instrument on a reflectance scanning mode.
As the traits of the association panel were investigated in multi-environments with three replications, an R script (www.eXtension.org/pages/61006) based on a linear model described by Merk et al. 36 was used to obtain the best linear unbiased prediction (BLUP) of each trait of each line. The resulting values were used as phenotypes for the association analysis.

SNP genotyping and filtering
SNP genotyping was performed using the Brassica 60K Illumina w Infinium SNP array by Emei Tongde Co. (Beijing) according to the manufacture's protocol (http://www.illumina.com/technology/infinium_hd_ assay.ilmn). The SNP data were clustered and called automatically using the Illumina BeadStudio genotyping software. Those SNPs with AA or BB frequency equal to zero, call frequency ,0.8 or minor frequency ,0.05 were excluded. The remaining SNPs were scrutinized visually and those SNPs that did not show three clearly defined clusters representing the three possible genotypes (AA, AB and BB) were also excluded.

In silico mapping of SNPs
The source sequences for designing SNP probes of the SNP array were used to perform a BLAST 37 search against version 4 of the 'pseudomolecules' representative of the genome of B. napus (Supplementary Table  S3). Only the top BLAST hits against the pseudomolecules were considered. BLAST matches to multiple loci, with the same top identity, were not considered to be mapped.
2.5. Genetic diversity, population structure and linkage disequilibrium analysis Polymorphism information content (PIC) of the SNPs were estimated using the PowerMarker version 3.51. 38 The differences of PIC between linkage groups were assessed using one-way analysis of variance implemented in SPSS 9.0. All the SNPs were used to estimate the genetic relatedness between individuals by principal component analysis (PCA) using the GCTA tool. 39 A total of 3900 SNPs [minor allele frequency (MAF) ! 0.2] evenly distributed across the whole genome were selected to perform the following population structure and relative kinship analysis. The software package STRUCTURE v2.3.4 40 was used to infer population structure. Five independent runs were performed with a K-value (the putative number of genetic groups) varying from 1 to 10, with the length of burnin period and the number of MCMC (Markov Chain Monte Carlo) replications after burnin both to 100 000 under the 'admixture model'. The most likely k-value was determined by the log probability of data [LnP(D)] and an ad hoc statistic Dk based on the rate of change of LnP(D) between successive k as described by Evanno et al. 41 The cluster membership coefficient matrices of replicate runs from STRUCTURE were integrated to get a Q matrix by the CLUMPP software 42 and graphically displayed using the DISTRUCT software package. 43 Accessions with the probability of membership .0.7 were assigned to corresponding clusters, and those ,0.7 were assigned to a mixed group. Nei's genetic distance 44 was estimated and used for constructing an unrooted neighbour-joining tree by the PowerMarker software, and the tree was visualized using FigTree (http://tree. bio.ed.ac.uk/software/figtree/). The relative kinship matrix comparing all pairs of the 472 accessions was calculated using the software package SPAGeDi. 45 Negative values between two individuals were set to 0, as described by Yu et al. 46 LD was estimated as the squared allele frequency correlations (r 2 ) between all pairs of the SNPs, using the software TASSEL3.0. 47

Genome-wide association analysis
Trait -SNP association analysis was performed using six models to evaluate the effects of population structure (Q, PC) and kinship (K): (i) naive-without controlling for Q and K, (ii) Q model, controlling for Q, (iii) PCA model, controlling for PC, the top 10 principal components were used as fixed effects, (iv) K model, controlling for K, (v) Q þ K model, controlling for both Q and K and (vi) P þ K model, controlling for both PC and K. The naive, Q and PCA models were performed using a general linear model; the K, Q þ K and P þ K models were performed using a mixed linear model with optimum compression and population parameters previously determined (P3D) variance component estimation in TASSEL 3.0. 46,48 The distribution of observed 2log 10 ( p) for each SNP from marker -trait associations was compared with the expected distribution in a quantile -quantile plot. Significance of associations between SNPs and traits was based on threshold p , 2 Â 10 26 (i.e. 2log 10 ( p) ¼ 5.7), a stringent Bonferroni correction calculated by dividing 0.05 by the total number of SNPs in the analysis, 24 256. The significant association of more than one SNP was regarded as a true association. Furthermore, false discovery rates (FDRs) were calculated as [(m Â P)/n] Â 100%, 49,50 where m is the total number of SNPs (i.e. 24 256), P is the p-value threshold for detecting significant association (i.e. 2 Â 10 26 ) and n is the total number of significant associations per trait.

Phenotypic variations of measured quantitative traits
Glucosinolate content, oil content and seed weight of the B. napus association panel comprising 472 accessions were measured for three replications in two locations. As the key genes responsible for the natural variation of the erucic acid content are known, this trait was investigated for only one replication in one location and used for evaluating the ability and accuracy of the GWAS of this panel. Extensive phenotypic variations were observed as shown in the descriptive statistics in Table 1. The erucic acid content, which varied from 0 to 53.7 with an average of 22.7, had the maximum coefficient of variation of 73.4%, whereas oil content in Nanchan, which varied from 33.4 to 52.6 with an average of 43.6, had the lowest coefficient of variation of 5.4%. Seed weight and glucosinolate content were quite consistent across different geographic location replicates with the correlation coefficient of 0.876 and 0.914, respectively, and oil content has the correlation coefficient of 0.775 ( Supplementary Fig. S1).

SNP performance and quality
Calling SNP genotype data using the BeadStudio genotyping software generally produced three clear clusters, i.e. the AA homozygote, BB homozygote and AB heterozygote. Of the 52 157 SNPs in the array, 10 389 which had zero call frequency of AA or BB were excluded. Then, with a cut-off of missing data .0.2 and MAF ,0.05, 1866 and 1428 SNPs were filtered, respectively, reducing the number of SNPs to 38 474. Those that remained were scrutinized visually and 29 027 SNPs with three clearly defined clusters were selected. Theoretically, the DH lines are homozygous throughout their genome, while the 12 DH lines derived from geographically different inbred lines of B. napus showed a heterozygosity rate of 1.8 2.8%, which might be caused by miss-calling or homologous sequences and should be excluded. As a result, 2186 SNPs with the heterozygous genotype in any DH lines were filtered and 26 841 SNPs were finally selected.
To further control SNP quality, a parent/F 1 triplet and four DNA duplicates were used to analyse the pedigree consistency and technical reproducibility, respectively. As a result, the allele calls were highly reproducible (Supplementary Table S4) with no or negligible inconsistencies between technical replicates. Furthermore, the parent/F 1 triplet showed a pedigree inconsistency of ,1%, confirming the high quality of the genotype calling of the selected SNPs in the array.

SNP in silico mapping and diversity
By BLAST analysis of the resource sequences of the SNPs in the array against 'pseudomolecules' representative of the genome of B. napus, 47 805 of 52 157 SNPs were in silico mapped (Supplementary Table S3 3.4. Population structure, relative kinship and linkage disequilibrium The population structure of the association panel was calculated using 3900 SNPs by STRUCTURE, and clustering inference performed with possible clusters (k) from 1 to 10 showed that the most significant change of likelihood occurred when K increased from 3 to 4, and the highest Dk value was observed at k ¼ 3 (Fig. 1). Both parameters suggested that the 472 genotypes could be assigned into three groups. Using a probability of membership threshold of 70%, 164, 29 and 17 lines were assigned into the three groups, respectively. The remaining 262 lines were classified into a mixed group (Supplementary Table S1). Most of the lines in Group 1 were from Asia and belong to semi-winter OSR (Supplementary Table S6). European lines were the main component of the Groups 2 and 3, in which the larger part were winter OSR and spring OSR, respectively. The NJ phylogenetic tree based on Nei's genetic distances displayed three clear clades ( Supplementary Fig. S3), corresponding to the three groups estimated by STRUCTURE. The lines belong to mixed groups distributed across the whole tree. The PCA based on the 24 256 genome-wide SNPs showed that the first two principal components explained 11.7 and 5.8% of the genetic variance, respectively ( Supplementary Fig. S4). The three major groups identified using STRUCTURE (i.e. except for the mixed group), winter OSR, spring OSR and semi-winter OSR were assigned to three major clusters. The analysis of relative kinship showed that the average relative kinship between any two lines was 0.0856. A total of 51.4% of kinship coefficients between lines were equal to 0, and 32.6% kinship coefficients ranged from 0 to 0.2 ( Supplementary Fig. S5). This pattern of genetic relatedness revealed that most lines have no

Association mapping
We assessed the utility of six statistical models for controlling type I and II errors in this B. napus panel. As can be seen in the QQ plots (Fig. 2), the distribution of observed 2log 10 ( p) values from the naive model departed quite far from the expected distribution leading to a high level of false-positive signals. For all four traits, any model controlling population structure or relative kinship performed significantly better than the naive model. The models controlling relative kinship, i.e. K, Q þ K and P þ K, had similar effects in reducing the false positives, while P þ K showed slightly greater effect than K and Q þ K models. For erucic acid content and glucosinolate content, the PCA, K, Q þ K and P þ K models were better than the Q model. All of the models except the naive model performed well for oil content and seed weight, and no significant difference was observed among these five models for the seed weight. There were no significant associations between SNPs and oil content in the Q, P þ K models based on threshold 2log 10 ( p) ¼ 5.7, which might indicate false negatives in this analysis.
According to the Q2Q plots of the six models, we used PCA and Q þ K models to identify association signals.
First, in order to evaluate the power of association analysis in this panel, the erucic acid content, for which genetic control was well known, was first used to perform association analysis. Two significant regions located at 9.5 and 63.7 Mb of A8 and C3, respectively, in the 'pseudomolecules' of B. napus were detected by both models (Fig. 3a, Supplementary Fig. S6a and Table 3). The FDRs for associations detected in Q þ K and PCA models were 0.046 and 0.312%, respectively. The two GWAS peaks, at Bn-A08-p12599446 and Bn-scaff_15794_3-p29807, contributed to 12.2 and 7.9% of phenotypic variance, respectively, based on R 2 values. These two peak SNPs were found to be 233 and 128 kb away from the key genes BnaA.FAE1 and BnaC.FAE1, respectively, indicating that our association genetics approach was successful.
Four and five significant associations for glucosinolate content were detected by Q þ K and PCA models, respectively, with the FDR of 0.083 and 0.106%. Both models detected four common regions at 3.2, 50.0, 39.9 and 2.8 Mb of A9, C2, C7 and C9, respectively, in the 'pseudomolecules' of B. napus (Fig. 3b, Supplementary Fig. S6b and Table 3). The cumulative phenotypic variance explained by all significant SNPs was 56.7%. As the deletions of the A. thaliana orthologous gene HAG1 (At5g61420) in C2 and A9 were regarded to lead to low glucosinolate content, 34 Fig. S6b and Table 3). For oil content, only one significantly associated region in A8 was detected by Q þ K and PCA models with FDRs of 2.5 and 0.714%, respectively (Fig. 3c, Supplementary Fig. S6c and Table S3). The GWAS peaks explained 6.1% of the total phenotypic variance. The GWAS peak for oil content was similar to that for erucic acid. For seed weight, Q þ K and PCA models detected one association in A9 and A7 with the FDR of 1.667 and 0.384%, respectively. The GWAS peak detected by Q þ K, i.e. Bn-A09-p30654305, at 34.65 Mb of A9, explained 11.4% of the phenotypic variance (Fig. 3d, Supplementary Fig. S6d and Table 3). The SNP Bn-A09-p30654305 was also detected by the PCA model as a single associated SNP in A9. In addition, using the PCA model, we also detected an associated SNP Bn-A10-p12639538 at 2.67 Mb of A7 (Supplementary Fig. S5d and Table 3), which explained 4.9% of the total seed weight variation.

Discussion
High-quality molecular markers and reliable genotype data are the precondition of genetic diversity analysis and association mapping. The amphidiploid nature of the B. napus genome might make automated SNP detection challenging and confounding, with homologue, paralogue and also homoeologue variation. 30,51 Trick et al. 30 termed three types of SNPs, i.e. inter-homoeologue polymorphisms, hemi-SNPs and simple SNPs in B. napus. The inter-homoeologue polymorphisms do not represent allelic variation per se, and as hemi-SNPs are the allelic polymorphisms in the homoeologous sequences, the short flanking sequences of the hemi-SNPs could not be specifically mapped in the 'pseudomolecules' representative of the genome of B. napus. By scanning the rapeseed association panel using the 60K SNP array, the clustering results showed that 10 000 SNPs had zero call frequency of AA or BB, which could, in part, be caused by inter-homoeologue polymorphisms. Meanwhile, 10 000 SNPs showed more than three clusters, which are indicative of two loci in a duplicated sequence as suggested by Ganal et al., 52 and are possibly hemi-SNPs. By strictly filtering, the genotypes of the finally selected SNPs of all DH lines were completely homozygous, and the DNA pedigree consistency and technical reproducibility were nearly perfect, suggesting the high quality of these selected SNPs. On the whole, over 76% of the SNPs have the PIC of 0.25 -0.5, which was regarded as the PIC range of medium polymorphism of the DNA marker. 53 On average, the polymorphism level was slightly higher for the A than for the C linkage groups in our population, contrary to the results of Delourme et al. 32 In our panel, nearly half of the genotypes were Asiatic, while those of Delourme et al. were European. 32 Asiatic cultivars were selected for improved adaptation to the local environment by introgression of B. rapa into B. napus germplasm, 54,55 increasing the genetic diversity of the A genome. Our finding suggests that genetic diversity of B. napus germplasm should be broadened by introgression of B. oleracea, as described by previous studies. 24,56 Understanding the population structure of the association mapping population contributes to reducing both Type I and II errors between molecular markers and traits of interest. 46,57 In our study, the association population was classified into three groups, semiwinter, winter and spring OSR were the main components of these three groups. Distinct clustering of winter and spring types has been reported by previous studies. 24,32,58,59 In our study, although Groups 2 and 3 mainly distinguished winter and spring types, respectively, some winter and spring types were found in the mixed group, located at an intermediate position between Groups 2 and 3. Delourme et al. 32 also observed that some spring OSR lines did not show distinct clustering. These intermediate lines might be derived from hybrids of the lines from different gene pools. 60,61 The kinship analysis revealed that most lines in the panel have no or weak kinship, together with significant differences in phenotype performance, indicating that this panel is suitable for association analysis. The mean pairwise r 2 values is close to previous At the genome level, mean LD decay was estimated to be 0.5 -1.2 cM in rapeseed germplasm. 24,26,32 Given the length of the genetic map of 2500 cM, .2100 -5000 evenly spaced markers would be necessary to perform GWASs in rapeseed. Therefore, by selecting in excess of 20 000 SNPs, our study should have more than sufficient markers to perform a good association analysis.
In the previous association analysis study in rapeseed, generally only population structure estimated by STRUCTURE 40 was considered. 27 -29,62 However, spurious associations cannot be controlled completely by population structure since the Q matrix only gives a rough dissection of population differentiation. Furthermore, the programme STRUCTURE needs intensive computational cost on large data sets. The current PCA software such as EIGENSTRAT 63 and GCTA 39 could analyse tens of thousands of samples with millions of SNPs with high performance and infer continuous axes of genetic variation; therefore, the PCA based on genome-wide SNPs was broadly used to detect and correct for population stratification in GWAS; 18,19 however, a few residual false-positive associations still existed in the PCA model. 64 Yu et al. 46 suggested that integration of the pairwise kinship into a mixed model to correct for relatedness could reduce spurious association, which was subsequently supported by the study in maize, 48 sorghum 65 and barley. 66 In our study, six models, i.e. naive, Q, PCA, K, Q þ K and P þ K models, were first compared for controlling the false positives in B. napus association mapping. The models considering population structure or relatedness, especially PCA, K, Q þ K and P þ K models, could effectively eliminate the excess of low p-values for all traits; however, the P þ K model also likely eliminated true positives, which is a common problem seen in other systems as well. 16,67 Therefore, in order to reduce the false positives and false negatives, both Q þ K and PCA models were considered to identify association signals.
The position of the DNA markers relative to the genome sequence or linkage map is also preferable for successful association mapping. In this study, the SNPs of the array were in silico mapped in B. napus 'pseudomolecules' to establish their hypothetical order. The positions of the significant association signals detected in this study are consistent with previous studies. It has been shown that two homoeologues, namely BnaA.FAE1 and BnaC.FAE1 on linkage groups A8 and C3, respectively, are responsible for controlling erucic acid content. 68,69 In the present study, the peaks of the two association signals for erucic acid content (represented by the markers Bn-A08-p12599446 and Bn-scaff_15794_3-p29807, which have the highest significance of association on A8 and C3, respectively) were within 233 kb of these two genes, indicating that our association approach was successful. For glucosinolate content, we identified four association signals on A9, C2, C7 and C9, which were detected independently in different studies. 7,70,71 Howell et al. 70 regarded that the QTLs on A9, C2 and C9 were homoeologous loci, whereas the underlying control genes were not uncovered until Harper et al. 34 identified genomic deletions that underlie the QTLs on A9 and C2. In the low-glucosinolate rapeseed accessions, the deleted segments contained orthologs of the transcription factor HAG1 (At5g61420), 34 which controls aliphatic glucosinolate biosynthesis in A. thaliana. 72 In Brassica juncea, silencing of the orthologs of HAG1 was reported to cause low glucosinolate content. 73 Interestingly, in the present study, four peak SNPs associated with glucosinolate content were identified to be close to the paralogues of HAG1. Further studies are necessary to reveal the DNA variation of the other two paralogues of HAG1 on C7 and C9.
Control of seed oil content is complex and previous studies have detected at least 10 QTLs, which were environmentally sensitive and with minor effects. 74 -76 These studies commonly regarded that two QTLs on A8 and C3 overlapped with the QTLs for erucic acid content. Since the BnaA.FAE1 and BnaC.FAE1 were cloned and confirmed as the key factors controlling the synthesis of erucic acid in rapeseed, 68,69 it was regarded that the pleiotropy of FAE1 was responsible for the decrease in seed oil content along with the reduction of seed erucic acid content in the modern cultivars. Our study showed that the peak SNP on A8 was only 233 kb away from the BnaA.FAE1, indicating the role of fine mapping of GWAS.
Seed weight of rapeseed is also a complex trait, which has a relatively high heritability and may primarily be controlled by genes with additive effects. 10,11 So far, .80 QTLs across the 19 linkage groups have been identified and individual QTL contributed to 2.0 -28.2% of the phenotypic variation. 10 -12,77 -80 The seed weight QTLs on A7 were repeatedly detected in many studies with diverse genetic materials, 10 -12,78,80 and the QTL on A9 was identified as a major QTL with the most contribution of 28.2% for the total seed weight variation. 12 Interestingly, our association mapping also detected a major QTL on A9 and a minor QTL on A7, indicating our association panel might be suitable for dissecting complex traits in B. napus. Since associated markers and causal polymorphisms underlying traits of interest are in a narrow interval equivalent to the distance of LD decay, 57 the genes flanking the peak SNPs and falling within the window of LD decay were always used to predict the candidate genes. 81 As the average LD across our panel is very low (mean pairwise r 2 ¼ 0.0176), it is reasonable to suppose that the detected loci in our study will be located in close proximity to the candidate genes controlling seed weight, and that these tightly associated SNPs would be of significant benefit in a molecular design breeding approach to improve seed weight.