QTL detection for wheat kernel size and quality and the response of these traits to low nitrogen stress Fa Cui · Xiaoli Fan · Mei Chen · Na Zhang · Chunhua Zhao · Wei Zhang · Jie Han · Jun Ji · Xueqiang Zhao · Lijuan Yang · Zongwu Zhao · Yiping Tong · Tao Wang · Junming Li 1 Supplementary information 1 Results 1.1 Phenotypic variation and correlations between traits In nearly all cases, all 11 kernel-related traits (KRTs) widely varied, showed transgressive segregation and were normally distributed, with absolute values of skewness and kurtosis of less than 1 for the 188 KJ-recombinant inbred lines (RILs). The average coefficients of variation (CVs) among the ten environments ranged from 1.23 % (test weight (TW), 0.94–1.58 %) to 14.90 % (Zeleny sedimentation value (ZEL), 10.90–19.92 %) (Supplementary Table S3). These results indicated that all the 11 traits were typical quantitative traits suitable for analysis of quantitative trait loci (QTLs). Kernel length (KL) showed a positive correlation with kernel width (KW) under high-nitrogen (HN) and low-nitrogen (LN) conditions, although this correlation was statistically non-significant under HN. All seven kernel quality-related traits, except for TW, were significantly positively correlated with each other. Although statistically non-significant under HN, TW showed negative correlations with water absorption (ABS), ZEL, and kernel hardness (KH) under HN and LN, and TW was negatively correlated with grain protein content (GPC) and wet gluten content (WGC) under HN, but these correlations were positive under LN. Although statistically non-significant under both LN and HN, positive correlations existed between KL and GPC and between KW and ZEL. KL showed a positive correlation with DT, ABS, ZEL, and KH under both LN (significant) and HN (non-significant), and KW showed positive correlations with GPC and TW under both LN (non-significant) and HN (significant), as did thousand-kernel weight (TKW) with GPC, WGC, and ZEL. Although non-significant in some cases, KL and kernel diameter ratio (KDR) were negatively correlated with TW and dough tractility (DT), respectively. The remaining factors showed inconsistent correlations with each other under LN and HN, including either a negative correlation under LN but a positive correlation under HN or a positive correlation under LN but a negative correlation under HN. Theses correlations were statistically non-significant in the majority of cases. 1.2 Genotypic analysis of the ten genes related to kernel size and quality traits and the novel genetic linkage map Concerning the three high-molecular-weight (HMW) glutenin loci, the diagnostic markers of Glu-B1 showed polymorphisms between KN9204 and J411. ZSBy9aF1/R3, the dominant marker of By9, was detected by the presence of a diagnostic fragment (662 bp) in KN9204, but no corresponding amplification product was observed in J411. For Glu-A1, KN9204 had the Ax-null allele, whereas J411 had Ax-2* (Cui et al. 2014a). In addition, sodium dodecyl sulfate polyacrylamide gel electrophoresis (SDS-PAGE) revealed that KN9204 carried the null, 7+9, and 2+12 alleles, whereas J411 carried the 2*, 6+8, and 2+12 alleles at the Glu-A1, Glu-B1 and Glu-D1 loci, respectively (data not shown). These findings were consistent with the results identified by assessment of the functional markers of the three HMW glutenin loci. Concerning the three low-molecular-weight (LMW) glutenin subunits, the diagnostic markers of Glu-A3 showed polymorphisms between KN9204 and J411. Of them, LA3F/SA2R and LA3F/SA4R, the dominant markers of Glu-A3b and Glu-A3d, respectively, were detected by the amplification of 894 bp and 967 bp diagnostic fragments, respectively, in KN9204, but no corresponding amplification products were obtained in J411. LA1F/SA3R, the dominant marker of Glu-A3a and Glu-A3c, was detected by amplification of the diagnostic fragment (573 bp) in J411, but no corresponding amplification product was observed in KN9204. These findings indicated that KN9204 had the Glu-A3b or Glu-A3d alleles and that J411 had the Glu-A3a or Glu-A3c alleles. In addition, J411 had the Glu-B3h allele, whereas KN9204 had a 1BL.1RS translocation that resulted in the loss of Glu-B3 (Cui et al. 2014a). The two parents had the same Glu-D3 allele. 1.3 QTLs for the 11 kernel-related traits Nine putative additive QTLs for GPC were identified in an individual environment QTL mapping analysis and were distributed on chromosomes 1A, 1B (2 QTLs), 2A, 2B, 3B, 4A (2 QTLs), and 4B. These QTLs individually explained an average of 4.27–8.08 % of the phenotypic variance with average LOD values ranging from 2.07 to 3.66. All of these QTLs were verified in at least two of the ten environments. QGpc-1A and QGpc-1B.2 were stable QTLs that were identified reproducibly in six and five environments, respectively; QGpc-2A, QGpc-2B, and QGpc-4B were all verified in four of the ten environments. Five and four favorable alleles that increased GPC were contributed by J411 and KN9204, respectively (Table 3; Supplementary Table S4; Fig. 2). For WGC, nine QTLs were significant together in ten individual environments and were 2 distributed on chromosomes 1A, 1B (2 QTLs), 2A, 2B, 3B, 4B, 5D, and 7D. These QTLs individually explained an average of 4.27–9.83 % of the phenotypic variance, with average LOD values ranging from 2.17 to 4.91. All of these QTLs were significant in at least two of the ten environments. QWgc-1A, QWgc-1B.1, and QWgc-5D were stable QTLs that were all identified reproducibly in five environments, and both QWgc-1B.2 and QWgc-2A were significant in four of the ten environments. KN9204 and J411 contributed favorable alleles that increased WGC at five and four QTLs, respectively (Table 3; Supplementary Table S4; Fig. 2). For DT, nine putative additive QTLs were detected together in ten individual environments and were distributed on chromosomes 1A (2 QTLs), 2A, 2D, 3B, 4A, 4B, 5D, and 7D. These QTLs individually accounted for an average of 3.90–11.44 % of the phenotypic variance, with average LOD values ranging from 2.66 to 6.03. All of these QTLs were detected reproducibly in at least two of the ten environments. QDt-1A.2, QDt-2A, QDt-4A, QDt-4B, and QDt-5D were stable QTLs that were verified in six, eight, five, nine, and eight environments, respectively, and QDt-7D was detected reproducibly in four of the ten environments; in addition, QDt-4B was a major stable QTL for DT that individually explained 11.44 % (6.59–15.78 %) of the phenotypic variance with a LOD value of 6.03 (2.68–9.63). KN9204 and J411 contributed to increased DT at five and four chromosomal regions, respectively (Table 3; Supplementary Table S4; Fig. 2). Eight QTLs for TW were mapped to chromosomes 2B, 2D, 3B, 4A, 4B (2 QTLs), 5D, and 7A, and they individually explained an average of 4.57–11.91 % of the phenotypic variance, with average LOD values of 2.28–5.61. All of these QTLs were verified in two of the ten environments, with the exception of QTw-4B, which was significant in six environments and individually explained 11.91 % (9.36–14.97 %) of the phenotypic variance as the only major stable QTL for TW. Two and six QTL alleles that increased TW were contributed by KN9204 and J411, respectively (Table 3; Supplementary Table S4; Fig. 2). Eight QTLs for ABS were mapped to chromosomes 1B, 2A, 2B, 2D (2 QTLs), 3B, 5D, and 6B and they individually accounted for an average of 2.85–32.75 % of the phenotypic variance with average LOD values of 2.55–18.23. They all could be verified in at least two different environments. QAbs-1B.1, QAbs-3B, and QAbs-5D were stable QTLs that could be verified in nine, six, and ten environments, respectively, and QAbs-2B could be verified in four environments; in addition, QAbs-5D individually explained 32.75 % (11.78–49.06 %) of the phenotypic variance, with a LOD value of 18.23 (4.58–26.41), and it was the only stable QTL for ABS. Four and four QTL alleles that increased ABS were donated by KN9204 and J411, respectively (Table 3; Supplementary Table S4; Fig. 2). In the ten environments, six QTLs for ZEL were identified and were distributed on chromosomes 1B, 2A, 3B (2 QTLs), 4B, and 5D. These QTLs individually explained an average of 5.04–16.54 % of the phenotypic variance, with average LOD values of 2.88–7.71. Both QZel-2A and QZel-5D were stable QTLs that were significant in eight of the ten environments. In addition, QZel-5D individually explained 16.54 % (10.96–30.54 %) of the phenotypic variance, with a LOD value of 7.71 (5.23–14.4), and it was the only major stable QTL for ZEL. The remaining four QTLs were verified in at least two of the ten environments. All six QTL alleles that increased ZEL were contributed by J411 (Table 3; Supplementary Table S4; Fig. 2). A total of six QTLs for KH were identified in the ten environments and were mapped to chromosomes 1B, 2A, 2D (2 QTLs), 5D, and 6B. These QTLs individually accounted for an average of 2.92–35.57 % of the phenotypic variance, with average LOD values of 2.33–18.14. QKh-5D, the only major stable QTL for KH, was mapped to chromosome 5DS in the vicinity of the known location of Ha, and it was confirmed in all ten environments. QKh-2D was significant in four different environments and the remaining QTLs were significant in only two different environments. Equal number of favorable alleles that increased KH were contributed by KN9204 and J411 (Table 3; Supplementary Table S4; Fig. 2). In total, 11 putative additive QTLs for KL were identified and were distributed on chromosomes 1A, 1B, 1D, 2A (2 QTLs), 2B, 3B, 4A (3 QTLs), and 7A. These QTLs individually accounted for an average of 4.91–17.64 % of the phenotypic variance, with average LOD values of 2.38–6.33. QKl-1B and QKl-2A.1 were stable QTLs that could be detected reproducibly in seven and six environments, respectively. Moreover, QKl-1B individually exhibited 13.47 % (5.48–18.28 %) of the phenotypic variance, with a LOD value of 6.33 (2.22–9.48), as the only major stable QTL. Both QKl-1A and QKl-2A.2 were major QTLs that individually caused 13.47 and 10.20 % of the phenotypic variance, respectively; however, they were only significant in one and two environments, respectively. The remaining QTLs had a moderate additive effect and could be identified in only two or three different environments. Five and six QTL alleles that increased KL were contributed by KN9204 and J411, respectively (Table 3; Supplementary Table S4; Fig. 2). A total of 13 QTLs for KW were mapped to chromosomes 1A, 1B, 2A, 2B, 2D, 4A (2 QTLs), 4B 3 (2 QTLs), 5D, 6A, 6B, and 7A. These QTLs individually explained an average of 4.32–21.70 % of the phenotypic variation, with average LOD values of 2.65–6.61. QKw-1A, QKw-1B, QKw-2A, and QKw-4A.2 were major QTLs that could be identified in only one environment. QKw-4B.1, QKw-4B.2, and QKw-6B were major QTLs that could be identified reproducibly in two, four, and four different environments, respectively. QKw-2D, the only stable QTL for KW, was verified in nine of the ten environments and individually explained 9.05 % (5.11–15.36 %) of the phenotypic variation, with LOD values ranging from 2.12 to 10.54. The remaining QTLs showed moderate additive effects and were unstable across the environments. Seven and six QTL alleles that increased KW were contributed by KN9204 and J411, respectively (Table 3; Supplementary Table S4; Fig. 2). Thirteen QTLs associated with KDR were detected that individually explained an average of 4.12–12.36 % of the phenotypic variation, with average LOD values of 2.20–6.37. These QTLs were located on chromosomes 1B, 2A, 2B (2 QTLs), 2D, 3D, 4A (2 QTLs), 4B (2 QTLs), 5B, 6B, and 7A. QKdr-2A, QKdr-2D, and QKdr-4B.2 were stable QTLs that were detected reproducibly in six, six, and five environments, respectively. Additionally, QKdr-4B.2 individually explained 12.36 % (4.82–18.82 %) of the phenotypic variation, with a LOD value of 6.37 (2.88–10.98), as the only major stable QTL for KDR. Although QKdr-7A individually explained an average of 10.92% of the phenotypic variance with an average LOD value of 3.05, it could be identified in only two different environments. The remaining QTLs had moderate additive effects and were unstable across environments. KN9204 and J411 contributed six and seven QTL alleles that increased KDR, respectively (Table 3; Supplementary Table S4; Fig. 2). Up to 17 QTLs for TKW were identified in the ten individual environment QTL mapping analyses. These QTLs were located on chromosomes 1A, 1B (2 QTLs), 2A (2 QTLs), 2B, 2D, 3B, 4A, 4B (2 QTLs), 5D, 6A, 6B (2 QTLs), 7A, and 7D, and they individually explained an average of 3.19–13.85 % of the phenotypic variation, with average LOD values of 2.15–7.99. QTkw-2D, QTkw-4A, QTkw-4B.2, and QTkw-5D were stable QTLs that were verified in ten, eight, five, and five different environments, respectively. Moreover, both QTkw-2D and QTkw-4B.2 were major stable QTLs individually accounting for an average of > 10.00 % of the phenotypic variance, with average LOD values of > 3.00. QTkw-6B.2 was the third major QTL, but it was unstable across the environments. QTkw-6A could be verified in four different environments with a moderate additive effect. The remaining QTLs individually explained < 10.00 % of the phenotypic variance and were unstable across the environments. Nine and eight QTLs alleles that increased TKW were contributed by KN9204 and J411, respectively (Table 3; Supplementary Table S4; Fig. 2). 2 Discussion 2.1 Would indirect selection of superior genotypes under normal conditions maximize the genetic gain in breeding programs designed to improve tolerance to nitrogen deficient conditions? In the present study, indirect selection for TKW under HN resulted in the selection of seven of nine (77.8 %), 12 of 19 (63.2 %), and 15 of 28 (53.6 %) common RILs at 5, 10, and 15 % selection intensities, respectively. The Spearman’s rank correlation coefficient calculated for TKW between the treatments was second (0.79) to that of KL among the 11 traits investigated (Table 2, Fig. 1). In addition, TKW showed higher heritability under both HN and LN and was less significantly or not significantly negatively affected by N stress (Supplementary Tables S2 and S3). The top five RILs had identical or similar TWK under LN and HN (50.78–53.71 and 50.10–53.64 g, respectively). This finding indicates that indirect selection under HN can maximize the genetic gain for the improvement of tolerance to N stress for TKW. Similar inferences were also made for KL, KW, and KDR because they showed strong correlations with TKW, but indirect selection under HN resulted in the selection of 50 % or fewer common RILs selected at the three selection intensities (Tables 1 and 2; Fig. 1). Despite the moderate Spearman’s rank correlation coefficients between the N treatments for DT and WGC, direct selection under each N treatment resulted in the selection of one-half or more of the RILs as common RILs at all three selection intensities (Table 2; Fig. 1). In addition, both traits showed higher heritabilities under both HN and LN, and they were consistently negatively affected by N stress across the tested environments (Supplementary Tables S2 and S3). The top five RILs had higher DTs and higher WGCs under HN than under LN (173.38–177.79 vs. 155.27–163.73 for DT and 35.84–37.03 vs. 27.87–33.33 for WGC, respectively). This finding indicates that indirect selection under HN allows for the genetic improvement of DT and WGC under LN in most cases; however, the negative effects of N stress on both DT and WGC were difficult to counteract. Although the Spearman’s rank correlation coefficient for ABS was relatively high (0.70) between the treatments, direct selection under each N treatment resulted in the selection of more than half of the RILs as common at only a 15 % selection intensity (15 of the 28 lines were selected as common). 4 However, ABS was less negatively affected by N stress, and the top five RILs had a slightly higher or similar ABS under HN compared with that under LN, (61.96–63.16 under HN and 60.96–62.34 under LN, respectively) (Supplementary Tables S2 and S3). This finding indicates that indirect selection under HN allows for the genetic improvement of ABS under LN to some extent. For GPC, TW, ZEL, and KH, indirect selection under HN resulted in the selection of fewer than 50 % of the RILs as common at the three selection intensities, indicating the lower efficiency of indirect selection under HN for the genetic improvement of these traits under LN (Tables 1 and 2; Fig. 1). 2.2 QTL co-segregation with known genes KN9204 and J411 differed at two HMW glutenin loci (Glu-A1 and Glu-B1) and two LMW glutenin loci (Glu-A3 and Glu-B3). Only one moderately stable QTL for DT (QDt-1A.2) mapped to a location near the Glu-A1 locus, which was likely due to the positive effect of the 2*-HMW subunit encoded by the Glu-1Ab allele on J411. QGpc-1B.2 and QWgc-1B.2 mapped to chromosome 1BL in the vicinity of Glu-B1. Additionally, three QTLs for kernel size (QKl-1B, QKdr-1B, and QTkw-1B.2) also mapped to this region, and alleles from KN9204 in this region (Bx7+By9) increased GPC and WGC but reduced kernel size, which might have contributed to the increase in the grain nitrogen concentration at the expense of grain biomass accumulation (Kunert et al. 2007). Moreover, the Bx7+By9 allele from KN9204 increased the tolerances of GPC, WGC, KL, and KDR to low N stress (Table 5). Two stable QTLs, QGpc-1A and QWgc-1A, along with an environmentally sensitive QTL, QDt-1A.1, mapped to locations near the Glu-A3 locus. The alleles from KN9204 in this region (Glu-A3b or Glu-A3d) simultaneously increased GPC, WGC, and DT. In addition, J411 had the Glu-B3h alleles, whereas KN9204 had a translocation of 1BL.1RS, resulting in the loss of Glu-B3. However, no QTLs for KRTs mapped to any locations near the Glu-B3 locus, indicating that this translocation had no adverse effects on the quality traits. In fact, Johnson et al. (1999) have concluded that genetic background and environmental factors likely affect the milling and baking quality to a greater extent than the 1BL.1RS translocation. TaCwi was mapped to 164.7 cM on chromosome 2AL in C3, which was found to harbor ten QTLs for both kernel size and kernel quality, and alleles from J411 enhanced all ten kernel related-traits, including ABS, WGC, KH, GPC, DT, ZEL, KDR, KW, KL, and TKW (Table 6; Supplementary Fig. S1). These findings indicate that the TaCwi-A1a allele may be associated with not only a greater kernel size but also enhanced kernel milling and baking quality. Moreover, TaCwi-A1a from J411 enhanced the tolerances of ABS, ZEL, and KH to low N stress and reduced those of KDR and TKW (Table 5). However, a QTL for sensitivity of wheat yield per plant to N stress (QYddv-2A.1-2) was mapped to this region, with alleles from J411 enhancing N stress tolerance (Cui et al. 2014a). These findings indicate that TaCwi-A1a enhances the tolerances of both quality and yield to N stress. TaSus2 was mapped to 95.2 cM on chromosome 2BS in C4, which was found to harbored five QTLs for both kernel size and kernel quality. Alleles from KN9204 increased KW and TKW but decreased GPC, WGC, and KDR (Table 6; Supplementary Fig. S1). In addition, a QTL for the per-plant wheat yield (QYd-2B) was mapped to this region, and alleles from KN9204 contributed to an increased phenotypic value (Cui et al. 2014a). This finding indicates that TaSus2 has opposing effects on yield and quality traits, which might contribute to the dilution effect between grain nitrogen concentration and grain biomass accumulation (Kunert et al. 2007). Two QTLs for KLDV (QKldv-2B) and KWDV (QKwdv-2B) were identified in this chromosomal region, and alleles from KN9204 increased the phenotypic value for both KLDV and KWDV. These results indicate that TaSus2 can influence the responses of KL and KW to N stress. However, no QTL for differences between the values for per-plant wheat yield under HN and LN was identified within this chromosomal region (Cui et al. 2014a). These results indicate that TaSus2 has no effect on the response of per-plant yield to N stress (Table 5; Supplementary Table S5). TaGS2-D1 and PPO-D1 were mapped to 210.3 and 214.8 cM on chromosome 2DL on the KJ-RIL map, respectively (Cui et al. 2014a). Both genes were located in C5, which harbored seven QTLs for kernel size and quality (ABS, KH, TW, DT, KW, KDR, and TKW). Alleles from KN9204 (TaGS2-D1a for TaGS2-D1 and PPO-D1a for PPO-D1) increased both kernel size and quality (Table 6). The average LOD peak positions for QKw-2D (209.3 cM), QTkw-2D (211.0 cM), and QKdr-2D (211.8 cM) across the environments were close to TaGS2-D1, whereas for QDt-2D (214.0 cM) and QAbs-2D.2 (217.0 cM) were close to that for PPO-D1; in addition, the average LOD peak positions for QKh-2D.1 and QTw-2D were 186.8 and 223.0 cM, respectively. These findings indicate that the associations with QKw-2D, QTkw-2D, and QKdr-2D likely resulted from a positive effect of TaGS2-D1a on KN9204, whereas those with QDt-2D and QAbs-2D.2 resulted from a positive effect of PPO-D1 on KN9204. The effects of QKh-2D.1 and QTw-2D might have resulted from the presence of other linked genes. 5 Eight QTLs for both kernel size and quality were mapped to chromosome 4B near Rht-B1, coincident with a major stable QTL for plant height (PH) (data not shown). To analyze the effect of Rht-B1 on kernel size and quality in further detail, we performed an analysis of covariate (ANCOVA) using plant height (PH) as a co-variable. The removal of PH effects from statistical analyses by considering this trait as a covariate in ANCOVA resulted in decreases in the differences in TKW, KW, KDR, TW, DT, and ZEL between the lines with Rht-B1a and Rht-B1b; however, the differences in GPC and WGC did not change (Supplementary Fig. S2). These findings indicate that Rht-B1b has negative effects on TKW, KW, KDR, TW, DT, and ZEL. The effects of QGpc-4B and QWgc-4B might have resulted from the presence of other linked genes. In addition, Rht-B1b enhanced the tolerances of TW, KW, and TKW to N deficiency (Table 5). The hardness (Ha) locus was mapped to 0.0 cM on chromosome 5DS in C10, which was found to harbor eight QTLs for both kernel size and quality traits, including a major stable QTL for KH (QKh-5D) (Table 6; Supplementary Fig. S1). To analyze the effects of Ha on kernel size and quality in further detail, we performed ANCOVA using KH as a covariate. The removal of KH effects from statistical analyses by considering this trait as a covariate in ANCOVA resulted in decreases in the differences in WGC, DT, ABS, ZEL, KW, and TKW between the lines with Pinb-D1b and Pinb-D1a but an increase in that of TW (Supplementary Fig. S3). These findings indicate that Pinb-D1b has pleiotropic effects on increasing KH and thus increasing WGC, DT, ABS, ZEL, KW, and TKW but decreasing TW, consistent with the additive effects listed in Table 6. Moreover, the Pinb-D1b alleles from KN9204 enhanced the tolerances of KH, ABS, and ZEL to N deficiency but reduced the tolerance of KW (Table 5). QTkw-5D was insensitive to N deficiency because no QTL for the response to LN of TKW was detected in that region. 6 Trait Bread and noodle-ma king quality Kernel weight Grain hardness Yellow pigment content Supplementary Table S1 The eleven functional markers of kernel size- and quality-related traits Marker Primer sequence (5’-3’) Allele Expected fragment size (bp) Glu-B1 ZSBy9aF1/R3 Forward: TTCTCTGCATCAGTCAGGA By9 662 Reverse: AGAGAAGCTGTGTAATGCC nonBy9 707 Glu-A3 GluA3b LA3F: TTCAGATGCAGCCAAACAA Glu-A3b 894 SA2R: GCTGTGCTTGGATGATACTCTA GluA3ac LA1F: AAACAGAATTATTAAAGCCGG Glu-A3a 573 SA3R: GTGGCTGTTGTGAAAACGA Glu-A3c GluA3d LA3F: TTCAGATGCAGCCAAACAA Glu-A3d 967 SA4R: TGGGGTTGGGAGACACATA TaCwi-A1 CWI22 Forward: GGTGATGAGTTCATGGTTAAT TaCwi-A1a 402 Reverse: AGAAGCCCAACATTAAATCAAC CWI21 Forward: GTGGTGATGAGTTCATGGTTAAG TaCwi-A1b 404 Reverse: AGAAGCCCAACATTAAATCAAC TaSus2-2B Sus2-SNP-185/5 Sus2-SNP-185: TAAGCGATGAATTATGGC Hap-H 423 89H2 Sus2-SNP-589H2: GGTGTCCTTGAGCTTCTGG Pin-b Forward: ATGAAGACCTTATTCCTCCTA Pinb-D1a 250 Reverse: CTCATGCTCACAGCCGCC Forward: ATGAAGACCTTATTCCTCCTA Pinb-D1b 250 Reverse: CTCATGCTCACAGCCGCT Psy-B1 YP7B-1 Forward: GCCACAACTTGAATGTGAAAC Psy-B1a 151 Reverse: ACTTCTTCCATTTGAACCCC Psy-B1b 156 YP7B-2 Forward: GCCACCCACTGATTACCACTA Psy-B1c 428 Reverse: CCAAGGTGAGGGTCTTCAAC Locus Chrom. Reference 1BL Lei et al. 2006 1AS Wang 2010 2AL Ma et al. 2012 2BS Jiang et al. 2010 Giroux et al. 1997 5DS 7BL et al. He et al. 2009 7 Supplementary Table S2 Analysis of variance (ANOVA) for the investigated traits Traits VG VT VL VG×T VG×L GPC 0.16*** 1.85*** 1.21*** 0.09*** 0.28*** WGC 1.13*** 9.54*** 1.72*** 0.66*** 1.72*** DT 23.04*** 109.54*** 112.31*** 8.32*** 28.26*** *** *** *** *** TW 9.17 4.76 31.99 15.02 28.25*** ABS 1.94*** 0.15*** 1.79*** 0.74*** 2.14*** ZEL 5.56*** 32.47*** 4.61*** 6.23*** 9.84*** KH 5.44*** 10.19*** 3.39*** 7.49*** 0.04** KL 0.041*** 0.050*** 0.003*** 0.011*** 0.001** KW 0.018*** 0.095*** 0.109*** 0.000 0.000 KDR 0.008*** 0.022*** 0.010*** 0.000 0.000 TKW 11.00*** 0.53*** 13.40*** 1.69*** 3.21*** VG variance induced by genetic factors (the 188 KJ-RILs); VT variance induced by nitrogen treatment (HN and LN); VL variance induced by locations (L1, L2, L3, L4, and L5), VG×T variance induced by the interaction of genetic factors with nitrogen treatment; and VG×L variance induced by the interaction of genetic factors with location GPC grain protein content, WGC wet gluten content, DT dough tractility, TW test weight, ABS water absorption, ZEL Zeleny sedimentation value, KH kernel hardness, KL kernel length, KW kernel width, KDR kernel diameter ratio, TKW thousand-kernel weight ** Indicates significance at a P < 0.01 *** Indicates significance at a P < 0.001 8 Traits GPC (%) WGC (%) DT (%) TW g/L ABS (%) ZEL (ml) KH (%) KL Supplementary Table S3 Phenotypic values for 11 kernel-related traits of two parents and the KJ-RIL population in environments in wheat Locations En.a N plots Parents KJ–Population KN9204 J411 Mean SD CVs (%) Min. Max. Skewness L1 E1 LN 14.33 12.46 12.11 0.76 6.26 10.23 13.94 0.17 E2 HN 16.29 13.38 14.58 0.68 4.65 12.33 16.84 0.11 L2 E3 LN 14.03 12.83 12.71 0.84 6.58 10.78 15.03 0.23 E4 HN 15.53 13.28 14.75 0.71 4.81 13.12 16.58 0.36 L3 E5 LN 13.17 12.61 13.23 1.06 7.99 9.95 18.50 0.62 E6 HN 15.31 14.78 15.50 0.82 5.32 13.76 18.55 0.62 L4 E7 LN 11.23 10.69 15.81 1.22 7.72 12.80 19.50 0.72 E8 HN 15.68 14.33 16.76 1.18 7.50 12.68 19.85 0.79 L5 E9 LN 10.61 10.54 12.97 0.82 6.29 11.39 16.70 0.82 E10 HN 14.42 13.66 15.12 0.68 4.49 13.66 17.56 0.36 L1 E1 LN 29.46 27.48 26.59 1.99 7.48 22.08 31.11 0.17 E2 HN 31.68 30.02 32.11 1.70 5.29 26.98 36.73 –0.18 L2 E3 LN 31.33 27.72 27.70 2.10 7.59 23.03 33.84 0.19 E4 HN 33.09 30.87 32.61 1.84 5.65 28.39 37.43 0.32 L3 E5 LN 28.81 26.68 28.76 2.62 9.12 20.80 41.04 0.52 E6 HN 34.06 31.79 34.16 2.10 6.15 29.54 41.67 0.51 L4 E7 LN 29.22 28.16 34.87 2.92 8.38 28.60 44.43 0.61 E8 HN 35.11 30.86 36.77 2.83 8.15 28.23 44.51 0.70 L5 E9 LN 22.97 23.10 28.23 2.06 7.30 24.04 36.70 0.66 E10 HN 32.45 30.42 33.38 1.77 5.30 29.96 38.93 0.30 L1 E1 LN 142.56 140.21 135.40 7.65 5.65 115.15 152.88 0.10 E2 HN 162.89 152.35 156.31 6.87 4.39 135.30 173.78 –0.08 L2 E3 LN 146.81 144.49 141.76 8.66 6.11 118.03 161.57 0.08 E4 HN 155.41 154.40 158.17 7.95 5.03 138.56 186.02 0.37 L3 E5 LN 145.51 143.77 147.16 10.18 6.92 117.76 194.20 0.45 E6 HN 151.73 156.23 158.85 9.35 5.88 135.57 189.08 0.48 L4 E7 LN 140.21 135.12 169.58 11.71 6.91 136.66 209.90 0.46 E8 HN 166.66 158.07 179.18 11.27 6.66 135.63 210.08 0.42 L5 E9 LN 120.85 117.25 144.46 8.31 5.75 121.32 175.43 0.42 E10 HN 154.26 144.17 158.51 7.96 5.02 137.38 187.55 0.48 L1 E1 LN 782.23 796.78 782.70 7.36 0.94 765.04 804.56 0.10 E2 HN 779.48 791.73 777.39 7.82 1.01 759.01 795.99 0.09 L2 E3 LN 786.30 793.67 786.42 11.03 1.40 753.54 813.89 –0.34 E4 HN 764.47 792.89 781.79 11.49 1.47 743.72 808.68 –0.16 L3 E5 LN 779.59 790.50 778.46 7.48 0.96 755.13 796.22 –0.45 E6 HN 767.81 784.73 778.93 12.28 1.58 744.67 809.52 –0.33 L4 E7 LN 782.12 789.23 790.67 10.71 1.36 762.19 834.70 0.05 E8 HN 781.61 791.72 790.50 9.77 1.24 761.55 827.49 –0.09 L5 E9 LN 778.77 787.07 782.44 7.74 0.99 758.43 801.12 –0.45 E10 HN 769.63 767.53 780.36 10.12 1.30 745.32 806.84 –0.17 L1 E1 LN 59.76 56.76 57.86 2.25 3.89 50.87 62.69 –0.23 E2 HN 61.46 54.89 58.85 1.74 2.95 53.06 63.30 –0.25 L2 E3 LN 60.02 55.58 56.30 2.72 4.84 49.64 62.56 –0.15 E4 HN 59.43 53.19 57.06 2.42 4.24 50.51 63.68 0.00 L3 E5 LN 58.58 54.07 58.08 3.01 5.18 50.48 65.48 –0.12 E6 HN 59.87 54.65 57.97 2.62 4.52 52.04 65.01 0.10 L4 E7 LN 58.23 56.15 59.70 2.66 4.45 50.92 65.49 –0.33 E8 HN 61.29 55.77 59.62 2.52 4.23 50.09 64.41 –0.54 L5 E9 LN 59.80 58.09 57.19 2.66 4.65 51.90 63.14 –0.13 E10 HN 61.95 60.72 57.52 2.29 3.98 52.16 63.77 0.08 L1 E1 LN 40.56 36.89 34.31 6.22 18.13 19.62 51.42 0.01 E2 HN 48.23 41.25 47.43 5.17 10.90 35.29 60.38 0.08 L2 E3 LN 43.61 40.98 34.97 6.96 19.92 18.23 52.48 0.04 E4 HN 49.35 41.28 43.73 6.82 15.60 27.77 60.18 0.08 L3 E5 LN 41.80 39.35 44.27 6.73 15.21 30.11 63.73 0.20 E6 HN 45.05 44.03 45.55 6.06 13.30 25.60 59.68 –0.14 L4 E7 LN 36.23 32.15 43.60 6.73 15.45 23.19 61.27 0.28 E8 HN 44.22 43.04 45.38 6.25 14.40 27.57 60.55 0.36 L5 E9 LN 31.89 30.71 39.62 5.58 14.08 25.69 52.29 –0.19 E10 HN 54.86 42.71 44.64 5.34 11.97 28.24 55.20 –0.22 L1 E1 LN 68.89 63.56 65.18 4.54 6.96 53.43 75.72 0.06 E2 HN 71.56 68.52 66.02 3.49 5.29 56.34 74.88 –0.03 L2 E3 LN 66.65 62.90 61.94 5.98 9.66 46.11 77.06 0.08 E4 HN 70.39 65.28 63.75 5.23 8.46 48.71 76.22 0.14 L3 E5 LN 66.19 59.20 61.69 4.86 7.87 46.78 73.60 –0.09 E6 HN 68.63 62.52 66.13 5.47 8.27 53.96 76.72 –0.13 L4 E7 LN 62.28 60.19 61.51 5.22 8.48 45.61 73.74 0.13 E8 HN 65.60 63.60 63.52 4.97 8.08 45.30 73.00 0.07 L5 E9 LN 71.60 67.54 64.04 5.14 8.02 51.53 74.73 –0.09 E10 HN 74.26 68.68 65.72 4.44 7.19 49.75 73.85 –0.04 L1 E1 LN 6.18 6.32 6.48 0.23 3.54 5.83 7.07 –0.11 ten Kurtosis –0.48 0.64 –0.40 –0.14 2.94 0.92 0.56 1.05 1.63 0.04 –0.75 0.32 –0.41 –0.33 2.14 0.42 0.54 1.00 0.90 –0.33 –0.54 0.03 –0.49 0.26 2.05 0.79 0.45 0.62 0.66 0.90 –0.39 –0.32 0.18 0.04 0.08 –0.17 0.75 0.93 0.05 0.10 –0.04 0.32 –0.55 0.26 –0.77 –0.55 –0.13 0.23 –0.91 –0.31 –0.37 –0.59 –0.31 –0.58 –0.31 –0.11 0.02 –0.06 –0.58 –0.41 –0.27 –0.18 –0.42 0.05 –0.29 –0.91 –0.28 –0.04 –0.88 –0.21 –0.18 9 hB2 (%) 69.98 57.33 44.17 49.67 50.51 68.37 82.56 71.87 62.01 70.09 71.42 65.58 46.67 52.93 51.76 69.22 82.85 72.84 63.74 72.05 63.27 69.46 51.33 61.49 60.63 73.29 82.87 72.52 70.24 81.29 48.04 69.46 36.22 27.82 42.73 43.04 47.52 24.29 51.76 47.12 71.16 69.25 66.21 63.90 74.48 56.65 88.66 57.95 81.32 74.05 60.54 51.52 35.01 27.39 39.22 32.69 84.37 43.55 56.14 41.98 62.55 51.82 58.35 38.83 67.13 43.56 64.68 46.43 74.93 57.00 46.00 (mm) L2 L3 L4 L5 KW (mm) L1 L2 L3 L4 L5 KDR L1 L2 L3 L4 L5 TKW (g) L1 L2 L3 L4 L5 E2 HN 6.16 6.53 6.52 0.25 3.87 5.43 7.13 –0.47 1.14 E3 LN 6.46 6.81 6.75 0.34 5.07 5.83 8.30 0.28 1.59 E4 HN 6.15 7.13 6.66 0.35 5.29 5.48 7.40 –0.45 0.37 E5 LN 6.51 6.75 6.91 0.33 4.76 5.50 7.81 –0.40 1.12 E6 HN 6.91 6.92 7.07 0.28 4.01 6.24 7.78 –0.33 0.08 E7 LN 6.73 7.20 6.89 0.29 4.25 6.09 7.73 0.34 0.04 E8 HN 6.58 7.03 6.89 0.38 5.54 4.15 7.70 –2.04 12.95 E9 LN 6.01 6.05 6.48 0.27 4.11 5.24 7.20 –0.45 2.11 E10 HN 6.33 6.50 6.50 0.28 4.27 5.60 7.24 –0.16 0.33 E1 LN 3.46 3.43 3.40 0.12 3.40 3.11 3.68 –0.18 –0.10 E2 HN 3.32 3.19 3.33 0.12 3.63 2.75 3.85 –0.58 4.42 E3 LN 3.34 3.21 3.24 0.15 4.55 2.80 3.63 –0.18 0.03 E4 HN 3.24 3.18 3.17 0.18 5.78 2.10 3.55 –1.16 5.13 E5 LN 4.91 5.02 3.09 0.20 3.84 4.40 5.56 –0.34 0.40 E6 HN 3.06 3.01 3.05 0.18 6.03 2.43 3.53 –0.11 0.04 E7 LN 3.64 3.46 3.46 0.14 4.14 2.93 3.86 –0.39 0.61 E8 HN 3.54 3.44 3.47 0.26 7.49 2.99 5.38 4.42 27.86 E9 LN 3.48 3.52 3.45 0.15 4.31 3.00 4.10 –0.03 1.81 E10 HN 3.48 3.55 3.45 0.20 5.78 2.83 4.05 –0.36 0.34 E1 LN 1.78 1.84 1.91 0.09 4.46 1.71 2.18 0.08 0.20 E2 HN 1.86 2.05 1.96 0.09 4.69 1.77 2.26 0.30 0.15 E3 LN 1.93 2.13 2.09 0.13 6.17 1.79 2.54 0.14 0.21 E4 HN 1.90 2.12 2.11 0.16 7.79 1.71 3.00 0.94 3.96 E5 LN 1.33 1.34 1.36 0.03 2.32 1.25 1.42 –0.29 0.18 E6 HN 2.26 2.30 2.33 0.16 7.03 1.86 2.77 0.21 –0.10 E7 LN 1.85 2.08 2.00 0.10 5.09 1.78 2.55 1.09 4.24 E8 HN 1.86 2.04 2.00 0.15 7.41 1.21 2.35 –1.71 7.44 E9 LN 1.73 1.89 1.88 0.11 5.94 1.54 2.18 0.18 0.22 E10 HN 1.82 1.84 1.89 0.13 6.82 1.59 2.28 0.45 0.33 E1 LN 43.41 45.18 45.99 3.51 7.63 36.38 54.07 –0.25 –0.10 E2 HN 45.31 40.94 45.61 3.88 8.51 31.34 54.55 –0.76 1.65 E3 LN 40.17 42.46 41.95 4.46 10.64 30.40 54.10 0.18 –0.02 E4 HN 38.71 41.83 40.72 5.19 12.75 22.68 53.56 –0.05 0.33 E5 LN 39.56 39.82 40.81 4.68 11.47 27.01 53.13 –0.16 0.32 E6 HN 34.85 34.65 36.75 5.70 15.51 20.76 49.82 –0.12 –0.24 E7 LN 47.02 47.50 46.16 4.13 8.95 32.15 57.71 –0.34 0.28 E8 HN 46.33 44.13 47.04 4.81 10.23 30.04 64.47 –0.22 2.22 E9 LN 43.25 50.07 46.40 4.38 9.45 29.23 67.96 0.35 3.18 E10 HN 46.44 50.83 47.74 5.49 11.50 25.47 59.28 –0.70 1.01 a En. = environments, E1, E2, E3, E4, E5, E6, E7, E8, E9 and E10 represent the low and high nitrogen environments in 2011–2012 in Shijiazhuang (L1), 2012–2013 in Shijiazhuang (L2), 2012–2013 in Beijing (L3), 2012–2013 in Xinxiang (L4), and 2013–2014 in Shijiazhuang (L5), respectively GPC grain protein content, WGC wet gluten content, DT dough tractility, TW test weight, ABS water absorption, ZEL Zeleny sedimentation value, KH kernel hardness, KL kernel length, KW kernel width, KDR kernel diameter ratio, TKW thousand-kernel weight, KN9204 Kenong 9204, J411 Jing 411, LN low nitrogen treatment, HN high nitrogen treatment, SD standard deviation, CVs coefficients of variation, h2 the estimated broad-sense heritability of the corresponding traits 10 69.25 42.60 52.03 54.01 77.61 59.64 39.19 40.77 52.50 39.51 27.45 48.73 62.55 49.42 73.08 71.70 29.72 47.42 55.38 41.84 36.83 49.78 71.50 54.44 60.59 68.60 44.03 44.78 49.70 70.42 60.88 74.21 75.19 83.03 85.11 51.80 60.75 57.78 78.76 1 Supplementary Table S4 Putative additive QTLs associated with 11 kernel-related traits, as detected using IciMapping 4.0 Traits QTL a Left markers Right markers Environments b LOD value Range Mean GPC QGpc-1A Xcnl137 BE425125 E1/E3/E6/E7/E8/E10 2.03/3.35/2.57/3.15/3.61/2.53 2.87 QGpc-1B.1 Xgwm374 Xcinau172 E5/E10 3.39/3.57 3.48 QGpc-1B.2 Glu-B1 Xme23em15.1 E2/E3/E4/E7/E9 2.60/3.07/2.74/2.21/5.45 3.21 QGpc-2A Xwmc522 TaCwi-A1 E1/E3/E4/E9 2.55/4.27/2.37/3.54 3.18 QGpc-2B Xksum053 Xcfe212 E1/E4/E6/E10 2.10/4.43/2.83/5.24 3.66 QGpc-3B wPt-0021 wPt-9368 E3/E9 2.13/2.22 2.17 QGpc-4A.1 Xgpw2331 wPt-4230 E4/E8 2.03/2.12 2.07 QGpc-4A.2 wPt-8271 Xmag974 E3/E9 2.40/2.57 2.49 QGpc-4B Rht-B1 Xmag4087 E3/E7/E8/E9 2.02/3.87/4.78/2.07 3.18 WGC QWgc-1A Xcnl137 BE425125 E1/E3/E6/E7/E8 2.89/3.23/2.20/2.62/3.06 2.80 QWgc-1B.1 Xgwm374 Xissr811.3 E2/E4/E5/E6/E10 2.72/2.71/3.82/3.29/3.99 3.11 QWgc-1B.2 Glu-B1 wPt-2315 E3/E7/E8/E9 3.59/2.48/2.54/5.02 3.41 QWgc-2A Xwmc522 Xme9em20 E1/E3/E4/E9 2.19/3.08/2.66/2.98 2.73 QWgc-2B Xgwm148 Xcfe274 E4/E6/E10 5.95/3.03/5.76 4.91 QWgc-3B wPt-0021 wPt-9368 E3/E9 2.13/2.22 2.17 QWgc-4B Rht-B1 Xcnl10 E7/E8 3.16/3.93 3.54 QWgc-5D Ha Xcfd18 E3/E4/E6/E9/E10 5.13/2.98/2.57/3.56/4.66 3.78 QWgc-7D wPt-666095 Xcfd5 E4/E6/E10 2.11/2.33/3.43 2.62 DT QDt-1A.1 Xcnl137 wPt-6538 E1/E3 2.94/3.59 3.26 QDt-1A.2 wPt-6046 Xwmc312 E1/E3/E4/E6/E9/E10 2.34/5.20/4.56/4.05/3.22/4.88 4.05 TW QDt-2A Xcfe67 Xme9em20 3.56/2.21/4.91/2.50/2.40/2.13/3.9 6/2.20 2.10/3.23 3.49/2.15 2.25/4.26/2.00/2.20/3.08 2.68/5.16/5.76/6.48/8.71/4.48/5.2 4/6.16/9.63 3.22/3.00/6.53/6.66/2.58/2.85/6.3 5/7.49 2.39/2.02/2.83/3.40 3.90/3.56 2.10/2.90 2.50/2.59 2.43/2.14 4.14/4.36 3.95/6.02/6.85/5.00/4.97/6.84 2.98 Xwmc824 wPt-0462 Xgpw5215.1 wPt-5836 Xmag1140 Xcfe89 Xmag2055 E1/E2/E3/E4/E5/E6/ E9/E10 E4/E10 E7/E8 E1/E4/E7/E9/E10 E2/E3/E4/E5/E6/E7/ E8/E9/E10 E1/E2/E3/E4/E5/E6/ E9/E10 E4/E5/E9/E10 E6/E10 E4/E10 E7/E8 E5/E9 E6/E10 E1/E4/E5/E6/E9/E10 QDt-2D QDt-3B QDt-4A QDt-4B Xswes61 Xgwm285 Xgpw2331 Rht-B1 wPt-671737 Xme12em20.1 Xgpw7543 Xmag4087 QDt-5D Ha Xcfd18 QDt-7D QTw-2B QTw-2D QTw-3B QTw-4A QTw-4B.1 QTw-4B.2 Xcfd5 Xbarc200 wPt-671737 Xbarc101 Xgwm160 Xwmc657 Rht-B1 QTw-5D QTw-7A Ha Xgpw2264 Xcfd18 Xbarc174 E2/E3 E2/E3 3.45/2.01 2.02/2.65 2.73 2.33 2.66 2.83 2.76 6.03 4.83 2.66 3.73 2.50 2.55 2.28 4.25 5.61 PVE % c Range 4.90/6.27/5.68/7.85/8.86/5.03 8.44/7.27 6.29/6.34/7.04/4.96/11.77 6.95/9.34/6.10/7.73 5.78/9.83/6.46/10.27 4.24/4.30 5.88/4.28 4.01/4.90 3.34/9.21/11.16/3.77 6.94/5.78/4.23/6.65/7.65 6.86/5.56/9.39/5.09/7.79 7.48/6.68/6.32/11.41 5.63/6.70/4.96/6.65 12.38/6.62/10.49 4.24/4.30 7.66/9.39 10.95/5.41/5.26/6.88/8.23 5.69/9.47/14.33 5.85/4.80 5.50/7.33/8.43/8.12/5.90/8.11 7.30/4.99/7.44/4.01/7.33/6.12/1 1.20/4.80 3.09/4.72 7.19/4.33 4.85/7.49/3.89/3.40/4.95 6.59/7.11/10.5/10.54/13.95/15.7 8/9.62/11.98/10.74/11.68 6.31/6.72/9.06/10.90/5.03/4.49/ 10.69/10.96 6.10/6.85/7.40/7.95 6.81/5.89 4.40/4.74 6.16/6.41 6.90/4.75 7.54/7.30 9.36/14.94/14.97/9.39/10.36/12. 46 8.08/4.42 8.84/9.43 Mean 6.43 7.85 7.29 7.53 8.08 4.27 5.08 4.45 6.87 6.25 6.94 7.97 5.99 9.83 4.27 8.52 7.35 9.83 5.33 7.23 6.65 3.90 5.76 4.92 11.44 8.02 7.03 6.35 4.57 6.28 5.83 7.25 11.91 6.25 9.13 Additive effect d Range 0.15/0.21/0.20/0.34/0.35/0.15 0.33/0.20 0.19/0.21/0.19/0.27/0.28 –0.18/–0.25/–0.18/–0.23 –0.16/–0.22/–0.21/–0.22 –0.43/–0.43 0.17/0.24 –0.17/–0.18 –0.15/–0.37/–0.40/–0.16 0.45/0.51/0.43/0.75/0.78 0.53/0.47/0.85/0.51/0.53 0.58/0.75/0.71/0.70 –0.40/–0.54/–0.41/–0.53 –0.65/–0.55/–0.58 –0.43/–0.43 –0.81/–0.87 0.70/0.43/0.48/0.54/0.51 0.35/0.64/0.67 1.67/1.89 –1.61/–2.36/–2.32/–2.67/–2.0 3/–2.28 –1.86/–1.71/–2.36/–1.61/–2.7 7/–2.32/–2.79/–1.76 1.39/1.73 3.15/2.35 1.51/2.17/2.31/1.53/1.77 –1.96/–2.32/–2.58/–3.81/–3.7 2/–3.63/–3.91/–2.72/–3.24 1.73/1.99/2.62/2.64/2.30/1.99/ 2.73/2.65 1.96/2.66/2.26/2.24 3.20/2.45 2.42/2.20 –2.66/–2.47 –1.95/–1.69 –3.40/–2.75 –2.39/–4.45/–2.90/–3.77/–2.4 9/–3.57 –2.13/–2.35 –2.18/–3.38 Mean 0.23 0.26 0.23 –0.21 –0.20 –0.43 0.21 –0.18 –0.27 0.58 0.58 0.68 –0.47 –0.59 –0.43 –0.84 0.53 0.56 1.78 –2.21 –2.15 1.56 2.75 1.86 –3.10 2.27 2.15 2.82 2.31 –2.57 –1.82 –3.08 –3.26 –2.24 –2.78 11 ABS ZEL KH KL KW QAbs-1B.1 wPt-5312 Xwmc402.2 QAbs-2A QAbs-2B QAbs-2D.1 QAbs-2D.2 QAbs-3B QAbs-5D Xgwm372 Xwmc154 Xgwm484 Xmag3947 Xwmc777 Ha Xme9em20 Xksum053 Xcau15 wPt-671737 Xme12em20.1 Xcfd18 QAbs-6B QZel-1B QZel-2A wPt-9642 wPt-5765 Xwmc598 wPt-5037 Xissr811.3 Xbarc89 QZel-3B.1 QZel-3B.2 QZel-4B QZel-5D Xbarc101 Xwmc687 Rht-B1 Ha Xgwm566 wPt-667746 Xcnl10 Xcfd18 QKh-1B Xme16em12.1 QKh-2A QKh-2D.1 QKh-2D.2 QKh-5D Xme11em12. 2 Xme6em12 XwmpE08 wPt-731134 Ha QKh-6B QKl-1A QKl-1B Xbarc198 wPt-6538 wPt-2315 wPt-5037 Xwmc402.1 Xwmc766 QKl-1D QKl-2A.1 wPt-9380 Xwmc522 QKl-2A.2 QKl-2B QKl-3B QKl-4A.1 QKl-4A.2 QKl-4A.3 QKl-7A QKw-1A QKw-1B Xbarc89 Xbarc200 Xgwm285 Xgpw2331 Xmag3886 wPt-7354 Xbarc219 wPt-6538 Xme23em15. 3 Xgwm372 QKw-2A E1/E3/E4/E5/E6/E7/ E8/E9/E10 E3/E5/E9 E5/E6/E9/E10 E2/E6 E4/E6/E10 E4/E6/E7/E8/E9/E10 E1/E2/E3/E4/E5/E6/ E7/E8/E9/E10 2.20/3.23/10.42/6.44/7.81/3.58/4. 28/9.17/8.41 2.05/2.01/3.60 2.87/2.52/3.80/2.77 2.22/4.14 3.10/5.89/3.52 2.30/2.50/3.71/4.21/2.84/2.54 4.58/7.58/26.41/23.81/20.25/13.8 4/14.15/17.14/31.56/22.93 6.17 E3/E9 E7/E8/E10 E1/E2/E3/E4/E5/E7/ E8/E9 E4/E5/E10 E5/E6/E10 E7/E8 E2/E3/E4/E5/E7/E8/ E9/E10 E6/E9 3.30/3.43 4.05/3.08/3.06 2.69/3.65/4.31/3.50/3.85/2.49/3.2 1/5.94 2.01/2.03/4.60 3.22/5.24/2.19 4.83/4.63 6.18/8.85/5.06/8.49/5.23/5.68/14. 42/7.79 2.21/2.45 3.36 3.40 3.70 2.20/2.96 3.83/2.79/3.26/3.87 5.84/6.06 6.13/7.51/21.51/19.08/28.07/14.3 9/15.27/16.34/41.33/11.77 2.31/3.14 3.07 6.90/9.23/5.15/9.48/6.59/2.22/4.7 0 2.84/2.78/3.10 2.20/3.58/8.50/2.24/5.00/2.26 2.58 3.43 5.95 18.14 Xwmc429 Xksum052 E5/E9 E6/E7/E8/E10 E6/E10 E1/E2/E3/E4/E5/E6/ E7/E8/E9/E10 E3/E9 E5 E1/E2/E3/E4/E6/E7/ E10 E3/E4/E10 E1/E3/E5/E6/E9/E10 wPt-665330 wPt-0462 wPt-8096 Xwmc760 wPt-9418 Xmag974 Xbarc174 Xwmc402.1 Xme16em12.1 E2/E6 E5/E9 E1/E3/E4 E1/E8/E10 E6/E10 E5/E9 E4/E6 E5 E6 Xme9em20 E5 Xme9em20 Xcfd233 wPt-671737 Xcfd18 5.16/4.09/15.25/9.58/12.27/5.71 /6.40/9.90/12.17 2.44/2.46/3.65 3.78/6.17/3.94/5.11 4.61/8.57 3.95/8.86/4.55 3.57/3.62/6.01/6.39/2.88/3.32 11.78/20.39/49.06/41.32/34.88/2 3.53/29.18//33.62/45.53/38.22/3 2.75 4.51/3.53 9.45/6.86/5.15 9.03/8.15/9.78/8.85/7.74/8.37/1 1.13/10.47 4.01/3.40/7.71 6.25/11.22/3.94 9.62/9.13 15.60/20.67/12.40/16.19/10.96/1 1.66/30.54/14.28 3.95/2.27 8.95 2.92 6.45 9.35 35.57 2.91 3.96 2.94/2.89 8.82/5.45/6.25/5.22 10.49/8.22 13.96/17.67/45.59/40.00/55.93/ 29.79/34.55/35.45/65.36/17.43 3.47/3.34 17.64 13.38/18.28/15.61/19.31/12.23/ 5.48/10.04 5.54/5.64/6.46 4.04/7.50/17.23/4.32/9.83/5.33 4.28/5.28 2.63/2.33 7.62/3.48/4.02 3.03/3.65/2.08 2.99/2.68 4.56/3.27 2.30/2.46 4.04 6.91 4.78 2.48 5.04 2.92 2.84 3.91 2.38 4.04 6.91 7.75/12.65 4.82/7.50 15.11/6.96/7.45 7.09/8.69/5.11 6.28/5.48 8.57/6.16 4.01/5.80 21.70 10.85 5.81 5.81 11.88 2.55 2.99 3.18 4.17 3.02 18.23 2.88 3.55 4.73 7.71 2.33 2.73 3.07 6.33 0.40/0.55/0.99/1.01/0.99/0.64/ 0.65/0.84/0.86 –0.43/–0.47/–0.51 –0.58/–0.65/–0.53/–0.52 –0.48/–0.77 0.48/0.78/0.49 0.46/0.51/0.65/0.64/0.46/0.42 0.55/1.03/1.92/1.57/1.79/1.28/ 1.45/1.47/1.81/1.42 0.77 –0.58/–0.50 –2.11/–1.67/–1.25 –1.55/–1.77/–2.18/–2.03/–1.8 8/–1.96/–2.10/–1.81 –1.36/–1.24/–1.48 –1.68/–2.02/–1.06 –2.09/–1.89 2.49/3.20/2.42/2.72/2.24/2.15/ 3.11/2.03 0.98/0.78 –0.54 –1.68 –1.91 –0.91 –1.23 1.42 2.96 10.20 6.16 9.84 6.96 5.88 7.37 4.91 21.70 10.85 –0.94/–0.88 –1.44/–1.22/–1.24/–1.01 1.57/1.27 1.31/1.93/4.07/3.34/4.12/2.66/ 3.09/2.98/4.19/1.86 –1.11/–0.94 0.14 –0.084/–0.108/–0.135/–0.154/ –0.099/–0.068/–0.088 –0.081/–0.084/–0.071 –0.046/–0.093/–0.136/–0.059/ –0.084/–0.064 –0.070/–0.100 –0.073/–0.073 –0.090/–0.091/–0.096 0.061/0.112/0.063 0.072/0.066 0.100/0.069 0.071/0.068 0.091 0.061 11.88 –0.068 –0.068 2.85 4.75 6.59 5.79 4.30 32.75 4.02 7.15 9.19 5.04 7.14 9.37 16.54 3.11 3.41 17.64 13.47 5.88 8.04 –0.47 –0.57 –0.62 0.58 0.52 1.43 –1.36 –1.59 –1.99 2.54 0.88 –1.02 0.14 –0.105 –0.079 –0.080 –0.085 –0.073 –0.092 0.079 0.069 0.084 0.069 0.091 0.061 12 KDR TKW QKw-2B QKw-2D TaSus2 Xwmpe08 Xwmc344 Xgpw5215.1 3.02 2.42/4.18/4.41/3.98/10.54/2.51/2. 12/5.89/6.10 2.12/3.56 4.04 7.06/4.87 3.79/5.12/2.85/14.69 2.21/4.11/4.19 2.28/3.51 4.52/5.67/5.91/3.41 2.65 4.13/3.42/3.40 6.58/2.22/3.18/3.44/4.45/3.73 3.02 4.68 Xgpw2331 Xgpw3079 Xcfe89 Xmag2055 Xcfd189 wPt-731413 Xcau10 Xme12em26.2 Xme26em26.1 Xme9em20 E6 E1/E2/E3/ E4/E6/E7/E8/E9/E10 E2/E6 E5 E4/E6 E2/E6/E9/E10 E5/E6/E10 E9/E10 E3/E5/E9/E10 E10 E4/E6/E8 E1/E2/E3/E5/E6/E9 4.32 9.05 2.84 4.04 5.96 6.61 3.50 2.89 4.88 2.65 3.65 3.93 4.32 6.00/9.83/9.99/8.90/15.36/5.83/ 5.11/11.62/8.80 6.50/6.40 10.04 9.57/10.98 8.83/7.53/5.29/24.99 4.00/5.34/6.05 3.92/4.99 15.17/13.99/14.61/8.23 7.33 8.24/8.80/10.02 13.84/4.76/7.84/5.17/6.35/6.35 QKw-4A.1 QKw-4A.2 QKw-4B.1 QKw-4B.2 QKw-5D QKw-6A QKw-6B QKw-7A QKdr-1B QKdr-2A Xwmc161 wPt-4424 Xwmc657 Xbarc199 Ha Xwmc201 Xcnl64 Xwmc809 wPt-2315 Xme6em12 QKdr-2B.1 QKdr-2B.2 QKdr-2D wPt-6932 Xksum053 Xswes61 wPt-0462 Xcfe274 Xmag4089 E5/E6 E5/E9 E1/E4/E5/E6/E8/E9 QKdr-3D QKdr-4A.1 QKdr-4A.2 QKdr-4B.1 QKdr-4B.2 Xgdm72 Xmag3886 wPt-7354 Xwmc657 Xbarc199 wPt-730660 wPt-9418 Xgwm160 wPt-6149 Xcnl10 QKdr-5B QKdr-6B QKdr-7A QTkw-1A QTkw-1B.1 QTkw-1B.2 QTkw-2A.1 QTkw-2A.2 QTkw-2B QTkw-2D Xcfd156 Xcnl64 Xwmc809 wPt-6538 Xme23em15. 3 wPt-2315 Xwmc522 Xbarc89 Xbarc13 Xcfd233 QTkw-3B QTkw-4A Xcft3530 Xgpw2331 Xbarc131 Xwmc760 QTkw-4B.1 QTkw-4B.2 QTkw-5D QTkw-6A Xwmc657 Rht-B1 Ha Xwmc553 Xcfe89 Xmag2055 Xcfd189 Xwmc754 6.46/3.32 2.25/3.38 2.34/3.79/5.44/5.52/3.81/3.81 4.89 2.81 4.12 9.09/4.57 3.46/6.04 4.33/7.94/7.81/7.79/8.97/6.70 6.83 4.75 7.26 E5/E6/E9 E6 E1/E2/E5 E2 E4/E5/E6/E9/E10 3.51/2.76/2.22 2.95 4.30/2.78/2.71 3.46 6.59/5.01/10.98/2.88/6.37 2.83 2.95 3.26 3.46 6.37 4.73/3.88/7.31 4.37 8.48/6.36/3.61 8.53 14.34/7.93/18.82/4.82/15.90 5.31 4.37 6.15 8.53 12.36 Xwmc75 Xcau10 Xme12em26.2 Xgwm164 Xme16em12.1 E5/E10 E9/E10 E9/E10 E5/E7/E10 E5/E6 4.72/2.33 2.05/2.35 3.84/2.25 2.79/2.13/2.08 4.17/4.54 3.53 2.20 3.05 2.33 4.35 6.85/7.08 3.37/4.86 11.38/10.46 11.82/6.94/7.74 7.86/6.41 6.97 4.12 10.92 8.83 7.00 Xme26em26.1 Xme13em23.2 Xme16em19.2 Xcfe212 Xgpw5215.1 E1/E4 E6 E3/E10 E5/E6 E1/E2/E3/ E4/E5/E6/E7/E8/E9/ E10 E5/E6 E1/E2/E3/ E4/E5/E6/E9/E10 E5/E6 E2/E3/E4/E6/E10 E2/E4/E6/E7/E10 E3/E5/E9/E10 4.41/4.78 3.50 5.53/3.48 2.12/2.29 6.02/5.64/7.36/2.23/6.53/9.26/4.5 7/2.75/7.12/4.32 4.60 3.50 4.51 2.20 5.58 7.89/8.97 4.75 10.21/5.62 3.04/3.35 11.63/11.78/10.15/5.94/10.18/11 .69/10.80/6.93/14.10/8.44 2.04/2.27 6.43/7.33/6.82/2.01/6.17/4.17/3.5 0/2.05 7.25/4.82 4.30/4.93/6.33/11.02/13.39 2.03/3.03/3.83/2.81/2.51 2.63/2.76/2.12/2.17 2.15 4.81 4.87/5.25 15.00/15.08/9.83/3.39/9.79/6.10 /7.45/4.34 12.32/5.61 8.85/6.62/12.96/15.07/25.75 3.49/6.09/5.41/5.96/4.08 3.77/5.05/4.06/3.70 6.04 7.99 2.84 2.42 0.038 0.028/0.038/0.047/0.055/0.07 2/0.035/0.059/0.051/0.059 0.031/0.046 0.062 –0.057/–0.061 –0.036/–0.051/–0.034/–0.100 0.039/0.043/0.050 –0.030/–0.045 –0.058/–0.074/–0.057/–0.050 –0.054 –0.047/–0.048/–0.047 –0.032/–0.020/–0.036/–0.007/ –0.041/–0.028 –0.010/–0.035 –0.006/–0.028 –0.018/–0.046/–0.009/–0.046/ –0.044/–0.029 –0.007/–0.032/–0.030 0.035 0.026/0.024/0.006 0.027 0.062/0.009/0.071/0.025/0.05 2 –0.008/–0.034 0.021/0.029 0.038/0.042 1.62/1.10/1.53 1.30/1.46 0.038 0.049 8.43 4.75 7.92 3.19 10.16 –0.98/–1.55 –1.24 –1.43/–1.30 0.82/0.86 1.19/1.33/1.42/1.03/1.49/1.94/ 1.35/1.17/1.64/1.49 –1.27 –1.24 –1.36 0.84 1.41 5.06 8.87 1.03/1.31 1.36/1.50/1.40/0.95/1.46/1.41/ 1.19/1.14 –1.65/–1.36 –1.16/–1.15/–1.88/–2.22–2.79 0.73/1.29/1.33/1.02/1.12 –0.88/–1.06/–0.91/–1.06 1.17 1.30 6.45 10.04 10.27 11.66 5.13 4.45 13.00 7.33 9.02 7.39 8.96 13.85 5.01 4.15 0.039 0.062 –0.059 –0.055 0.044 –0.040 –0.060 –0.054 –0.047 –0.027 –0.022 –0.017 –0.032 –0.023 0.035 0.019 0.027 0.044 –0.021 0.025 0.040 1.42 1.38 –1.51 –1.84 1.10 –0.98 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 QTkw-6B.1 Xcnl113 Xme9em2.2 E1/E6/E9 3.29/4.71/3.81 3.94 6.81/5.63/7.45 6.63 –0.91/–1.35/–1.19 –1.15 Xcnl64 Xcau10 E3/E5 8.27/6.52 –1.59/–1.57 –1.58 7.40 12.50/11.02 11.76 QTkw-6B.2 QTkw-7A wPt-4553 Xissr807.1 E2/E4/E8 2.15/3.58/2.83 2.85 3.71/6.79/6.23 5.57 0.75/1.35/1.20 1.10 QTkw-7D Xmag2931.2 Xgdm88.2 E3/E8 3.17/2.19 2.68 3.91/4.57 4.24 0.88/1.03 0.96 a A putative major QTL is marked in bold typeface and is characterized by a mean LOD > 3.0 and a mean PVE > 10 %; a putative stable QTL is underlined when this locus was detected in at least five of the ten environments; and a QTL for a kernel related-trait that was co-localized, with its corresponding difference between HN and LN, is presented in red color b E1, E2, E3, E4, E5, E6, E7, E8, E9, and E10 indicate trial 1 (2011–2013, Shijiazhuang) LN, trial 1 HN, trial 2 (2012–2013, Shijiazhuang) LN, trial 2 HN, trial 3 (2012–2013, Beijing) LN, trial 3 HN, trial 4 (2012–2013, Xinxiang) LN, trial 4 HN, trial 5 (2013–2014, Shijiazhuang) LN, and trial 5 HN, respectively c PVE indicates the percentage of explained phenotypic variation d A positive sign indicates that the alleles from the Kenong9204 parent increased the corresponding trait value; and a negative sign indicates that the alleles from the Jing411 parent increased the corresponding trait value GPC grain protein content, WGC wet gluten content, DT dough tractility, TW test weight, ABS water absorption, ZEL Zeleny sedimentation value, KH kernel hardness, KL kernel length, KW kernel width, KDR kernel diameter ratio, TKW thousand-kernel weight 14 1 Traits GPCDV WGCDV DTDV TWDV ABSDV ZELDV KHDV KLDV KWDV KDRDV Supplementary Table S5 Putative additive QTLs associated with the differences in the values for the 11 kernel related traits under high nitrogen and low nitrogen conditions in each trial, as detected by IciMapping 4.0 QTL a Left markers Right markers Trials b LOD value PVE % c Additive effect d Range Mean Range Mean Range Mean QGpcdv-1B Xme9em25 Glu-B1 L4 2.87 2.87 7.08 7.08 –0.06 –0.06 QGpcdv-2D Xksum174.4 Xgwm539 L3 2.23 2.23 14.93 14.93 0.36 0.36 Xwmc125 Xmag2055 L1/L2/L3/L5/M 3.28/3.11/2.19/2.87/4.66 3.22 11.47/7.47/9.02/7.14/15.11 10.04 0.31/0.21/0.28/0.18/0.19 0.24 QGpcdv-4B QWgcdv-1B Xme9em25 Glu-B1 L4 3.21 3.21 7.89 7.89 –0.16 –0.16 QWgcdv-2D Xksum174.4 Xgwm539 L3/L5 2.61/2.21 2.41 17.40/15.38 16.39 0.63/0.92 0.77 Xwmc125 Xmag2055 L1/L2/L3/L5/M 2.29/2.54/2.53/3.44/4.26 3.01 8.61/6.90/10.02/12.26/14.03 10.36 0.65/0.47/0.70/0.56/0.46 0.57 QWgcdv-4B QDtdv-1B wPt-3451 Xissr811.3 L3 2.27 2.27 5.44 5.44 –1.80 –1.80 QDtdv-2A Xksum193 Xwmc658 M 2.31 2.31 6.15 6.15 0.98 0.98 QDtdv-2D Xksum174.4 Xgwm539 L3 2.46 2.45 15.75 15.75 3.03 3.03 QTwdv-1B Xme11em12.2 Xme26em26.3 L1/L2 2.33/2.33 2.33 6.07/6.97 6.02 2.49/3.24 2.87 Xwmc598 Xwmc522 L3/L5 5.03/2.37 3.70 19.51/7.41 13.46 –4.60/–2.52 –3.56 QTwdv-2A QTwdv-4B Xbarc199 Rht-B1 L3/L5/M 4.22/3.15/3.18 3.52 8.96/8.14/7.77 8.29 –3.09/–2.61/–1.97 –2.56 QTwdv-7A Xbarc219 Xbarc174 L1/L2/L5/M 2.09/2.14/2.14/2.51 2.22 9.36/10.45/5.37/7.24 8.11 3.06/4.27/3.12/1.91 2.84 QAbsdv-1A wPt-6654 Xgwm497 L4 2.19 2.19 21.45 21.45 0.47 0.47 QAbsdv-2A.1 Xwmc522 Xme13em23.2 L3 2.83 2.83 6.95 6.95 0.50 0.50 QAbsdv-2A.2 Xksum193 Xwmc658 L3/L5/M 3.83/3.82/3.02 3.55 8.49/9.17/7.32 8.33 0.56/0.47/0.32 0.98 QAbsdv-2D Xksum174.1 Xksum174.4 L3/L5 2.37/2.05 2.21 8.69/5.84 7.26 0.58/0.39 0.48 QAbsdv-5D Ha Xcfd18 L3/L5/M 5.02/3.45/3.03 3.83 11.59/8.65/7.73 9.32 –0.66/–0.46/–0.33 –0.48 QAbsdv-6B wPt-9952 wPt-3045 L2/M 2.85/2.12 2.48 6.86/4.00 5.43 0.55/0.24 0.39 QZeldv-1B Xme11em12.2 Xme26em26.3 L1/L2/L5/M 3.10/2.28/2.97/3.46 2.96 7.75/5.88/7.55/8.74 7.48 –2.08/–1.89/–1.46/–1.25 –1.67 Qzeldv-2A Xwmc522 Xme13em23.2 L3 2.81 2.81 7.85 7.85 1.68 1.68 QZeldv-5D Ha Xcfd18 L3 2.67 2.67 5.99 5.99 –1.48 –1.48 QKhdv-2A Xme13em23.2 Xgwm448 L3 2.46 2.46 6.61 6.61 1.17 1.17 QKhdv-5D Ha Xcfd18 L3/L5/M 4.18/2.20/2.24 2.87 11.28/5.96/5.21 7.48 –1.55/–1.02/–0.72 –1.10 QKhdv-6B Xedm149.2 wPt-3045 L1/L2/L5/M 2.18/2.88/2.25/2.31 2.40 4.92/6.90/5.99/5.63 5.86 1.15/1.56/1.02/0.75 1.12 QKldv-1A Xksum174.2 wPt-6654 L5/M 2.12/2.12 2.12 4.87/9.16 7.02 0.071/0.064 0.067 QKldv-1B.1 wPt-2315 Xme23em15.1 L1 2.95 2.95 11.32 11.32 –0.064 –0.064 Xwmc44 Xcfa2219 M 3.59 3.59 11.05 11.05 –0.046 –0.046 QKldv-1B.2 QKldv-2B wPt-4301 Xksum053 L2/M 2.01/2.80 2.41 4.80/6.15 5.47 0.077/0.035 0.056 QKldv-3B Xbarc101 wPt-1940 L1/L5 2.98/2.18 2.58 6.67/5.86 6.26 0.049/0.063 0.060 Xksum174.2 wPt-6654 L3/L4 2.67/14.47 8.57 4.42/49.19 26.81 0.060/0.808 0.434 QKwdv-1A QKwdv-1B.1 Glu-B1 wPt-2315 M 2.33 2.33 5.15 5.15 0.024 0.024 QKwdv-1B.2 Xwmc44 Xcfa2219 L4 2.43 2.43 5.87 5.87 –0.070 –0.070 QKwdv-2B wPt-4301 Xksum053 L3/M 2.70/2.23 2.46 8.51/7.38 7.95 0.067/0.028 0.048 Xwmc657 Xcnl10 L1/L2/L3/L5/M 2.03/3.67/8.04/7.06/7.59 5.68 4.86/9.45/15.79/16.93/17.08 12.82 –0.027/–0.050/–0.092–0. –0.058 QKwdv-4B 078/–0.043 QKwdv-5A Xmag1241 Xme12em13.1 L1/L5/M 2.10/2.19/3.12 2.47 7.46/6.82/9.40 7.89 –0.033/–0.049/–0.032 –0.038 QKwdv-5D Ha Xcfd18 L5 2.07 2.07 4.74 4.74 0.042 0.042 QKwdv-6B.1 Xcnl64 Xgwm282 L3 2.35 2.35 6.02 6.02 0.057 0.057 QKwdv-6B.2 wPt-1325 wPt-6116 M 2.38 2.38 4.76 4.76 0.023 0.023 QKdrdv-1B wPt-2315 Xme23em15.1 M 3.98 3.98 8.71 8.71 –0.019 –0.019 15 –0.030/–0.015 –0.022 –0.030/–0.028 –0.029 –0.043 –0.043 0.020/0.052/0.038/0.034/ 0.035 0.036/0.033 QKdrdv-6B wPt-9952 wPt-3045 L3 4.14 4.14 5.19 5.19 –0.033 –0.033 QTkwdv-1A Xksum174.2 wPt-6654 L5 2.68 2.68 20.72 20.72 3.67 3.67 QTkwdv-2A Xwmc522 Xme13em23.2 L5/M 3.14/2.81 2.98 6.29/4.56 5.42 –1.13/–0.50 –0.81 Xme16em26 Xmag2055 L1/L2/L3/L5/M 2.21/5.05/8.65/9.59/8.29 6.76 8.26/12.26/19.90/20.23/14.33 14.99 –0.78/–1.49/–1.37/–2.03/ –1.31 QTkwdv-4B –0.89 Xmag1241 Xme12em13.1 L2/L5/M 3.83/3.69/6.50 4.67 12.11/9.11/14.08 11.77 –1.48/–1.36/–0.88 –1.24 QTkwdv-5A a A putative major QTL is marked in bold typeface and is characterized by a mean LOD > 3.0 and a mean PVE > 10 %; a putative stable QTL is underlined when this locus was detected in at least three of the six trials; and a QTL for a kernel-related trait that was co-localized, with its corresponding differences between HN and LN is presented in red color b L1, L2, L3 L4, L5, and M indicated location 1 (2011–2013, Shijiazhuang), location 2 (2012–2013, Shijiazhuang), location 3 (2012–2013, Beijing), location 4 (2012–2013, Xinxiang), location 5 (2013–2014, Shijiazhuang) and the mean of the five trials, respectively c PVE indicates the percentage of explained phenotypic variation d A positive sign indicates that the alleles from the Kenong9204 parent increased the corresponding trait value; and a negative sign indicates that the alleles from the Jing411 parent increased the corresponding trait value GPCDV, WGCDV, DTDV, TWDV, ABSDV, ZELDV, KHDV, KLDV, KWDV, KDRDV, and TKWDV represented the differences in grain protein content between HN and LN, wet gluten content, dough tractility, test weight, water absorption, Zeleny sedimentation value, kernel hardness, kernel length, kernel width, kernel diameter ratio, and thousand-kernel weight, respectively QKdrdv-2A QKdrdv-2B QKdrdv-2D QKdrdv-4B TKWDV 1 2 3 4 5 6 7 8 9 Xwmc598 wPt-6932 Xksum244 Xbarc199 Xksum052 wPt-6576 Xksum174.1 Xmag2055 L3/M L2/L3 L3 L1/L2/L3/L4/L5/M 3.62/3.03 2.16/2.75 5.97 2.67/5.30/5.28/2.10/3.84/13.15 3.32 2.46 5.97 5.39 4.49/4.92 4.62/3.83 8.99 6.67/14.07/7.15/4.63/8.64/24.88 4.70 4.22 8.99 11.01 16 1A 0.0 6.2 8.2 9.0 10.1 14.0 33.5 82.5 101.1 106.4 108.0 112.3 122.7 123.7 135.3 143.9 159.3 1B Xgdm33 wPt-730618 wPt-6709 wPt-666537 wPt-665724 Xcnl137 Glu-A3 BE425125 wPt-6358 Xwmc402.1 Xgwm164 Xwmc469 wPt-6046 Xwmc278 wPt-8347 wPt-665590 Xwmc312 Glu-A1 Xme12em12.2 0.0 13.0 Xksum174.2 wPt-6654 42.1 76.1 95.4 Xgwm497 Xbarc17 wPt-668205 wPt-730885 wPt-2847 wPt-667252 wPt-669499 wPt-5316 FM1 121.3 122.0 123.6 135.6 0.0 11.9 12.5 13.4 13.5 14.0 14.4 14.7 15.9 16.5 17.3 18.7 19.9 20.3 20.7 21.3 22.3 22.6 23.2 23.4 23.5 25.3 25.5 27.5 29.1 29.9 30.8 32.0 40.4 55.4 76.4 97.7 106.7 136.5 139.7 160.5 2A Glu-B3h wPt-2751 wPt-6117 wPt-6833 wPt-6434 wPt-8616 wPt-6427 wPt-8949 wPt-669239 wPt-5281 wPt-3282 wPt-1684 wPt-2988 wPt-3465 wPt-1176 wPt-9903 wPt-5765 wPt-5745 wPt-7529 wPt-1328 wPt-8930 wPt-4107 wPt-5312 wPt-2052 Xgwm374 Xgwm11 Xwmc406 Xwmc128 Xbarc187 Xcfd59 wPt-2019 wPt-2614 wPt-6985 wPt-4434 wPt-3177 wPt-0974 Xcinau172 wPt-3451 Xissr811.3 Xme10em7 Xme9em2.1 Xme7em19.1 Xme7em10.2 Xme11em12.2 Xme26em26.3 Xme23em15.3 Xme16em12.1 Xwmc402.2 Xme9em25 Glu-B1 wPt-2315 Xme23em15.1 Xme26em26.1 Xwmc766 0.0 6.1 13.5 58.2 60.0 65.4 72.9 88.4 114.5 124.1 130.4 134.8 136.5 136.7 141.6 151.8 164.7 187.1 215.7 224.1 227.6 229.8 242.1 268.8 0.0 6.7 9.5 22.4 30.8 2B Xbarc1138.3 Xbarc1138.4 Xgwm636 wPt-2448 wPt-669245 wPt-2087 Xme18em11 Xcfe67 Xwmc598 Xwmc522 Xme13em23.2 Xgwm448 Xme6em12 Xksum052 Xgwm372 Xme9em20 TaCwi Xbarc89 wPt-665330 Xme16em19.2 Xgwm312 Xgwm294 Xksum174.3 Xksum174.5 Xwmc181 Xksum193 Xwmc658 Xgwm311 wPt-6687 Xmag633 0.0 2.9 3.2 3.6 5.3 6.3 7.1 41.2 52.9 54.8 56.1 56.5 82.5 88.4 90.8 92.8 95.2 97.0 102.4 105.4 142.7 149.9 155.4 161.9 163.8 164.1 165.0 176.3 179.5 192.4 229.4 5D Xcau14.1 Xme26em26.2 Xbarc1138.1 Xbarc1138.2 wPt-0100 Xwmc764 wPt-6627 wPt-3459 wPt-5587 wPt-5934 wPt-6970 wPt-6575 0.0 Xwmc154 8.6 wPt-6932 8.7 wPt-9402 Xbarc200 40.0 wPt-0462 wPt-4301 Xksum053 87.1 wPt-0408 Xgwm148 0.0 Xbarc13 14.5 Xcfe274 TaSus2 Xwmc344 wPt-6576 Xcfe212 Xme4em12 wPt-7004 Xme13em3 Xwmc332 wPt-0473 wPt-9736 wPt-0694 PPO33 wPt-2430 Xme12em26.1 Xwmc317 7B Xgwm569 Xcfe100 Xgwm46 Xbarc267 wPt-6498 wPt-4025 wPt-0312 Xwmc396 wPt-2305 wPt-3833 wPt-9467 wPt-9925 Xwmc749 Xbarc182 wPt-665293 Psy-B1 wPt-0884 wPt-8598 Xcfe223 Xcau11 wPt-8007 wPt-4038 wPt-0530 wPt-6156 wPt-4814 wPt-7887 wPt-5892 Xcfe127 Xgwm344 0.0 49.8 65.7 67.0 Ha 71.6 Xcfd18 73.4 Xcfd183 73.8 Xcfd189 74.1 74.8 75.6 Xgwm174 77.1 Xwmc765 100.1 Xwmc443 138.1 155.3 158.6 160.1 162.2 167.0 170.4 172.2 194.4 194.7 203.3 205.2 219.8 236.9 246.3 295.3 Supplementary Figure S1 Novel genetic linkage map enriched with functional markers of kernel size and quality traits 17 Supplementary Figure S2 Effects of Rht-B1 (wild type Rht-B1a and mutant Rht-B1b) on traits with QTLs that mapped close to Rht-B1 in the KJ-RIL population grown under high and low nitrogen conditions An analysis of covariance (ANCOVA), with removal of the effects of plant height (PH), performed using QGA station 1.0 according to Cui et al. (2011) and Fan et al. (2015); the value for a kernel-related trait (KRT) was obtained from the average of the five HN and LN values, respectively. KRT|PH indicates KRT without the influence of PH * Indicates significance at a P < 0.05 Indicates significance at a P < 0.01 *** Indicates significance at a P < 0.001 ** 18 Supplementary Figure S3 Effects of Ha (Pinb-D1b and Pinb-D1a) on traits with QTLs that mapped close to Ha in the KJ-RIL population grown under high and low nitrogen conditions Analysis of covariance (ANCOVA), with removal of the effects of kernel hardness (KH), performed using QGA station 1.0 according to Cui et al. (2011) and Fan et al. (2015); the value for a kernel-related trait (KRT) was obtained from the average of the five HN and LN, respectively. 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