TY - JOUR AU - Huiyong, Li, AB - Abstract Heterosis and increasing planting density have contributed to improving maize grain yield (GY) for several decades. As planting densities increase, the GY per plot also increases, whereas the contribution of heterosis to GY decreases. There are trade-offs between heterosis and planting density, and the transcriptional characterization of heterosis may explain the mechanism involved. In this study, 48 transcriptome libraries were sequenced from four inbred Chinese maize lines and their F1 hybrids. They were planted at densities of 45000 and 67500 plants ha–1. Maternal-effect differentially expressed genes (DEGs) played important roles in processes related to photosynthesis and carbohydrate biosynthesis and metabolism. Paternal-effect DEGs participated in abiotic/biotic stress response and plant hormone production under high planting density. Weighted gene co-expression network analysis revealed that high planting density induced heterosis-related genes regulating abiotic/biotic stress response, plant hormone biosynthesis, and ubiquitin-mediated proteolysis, but repressed other genes regulating energy formation. Under high planting density, maternal genes were mainly enriched in the photosynthesis reaction center, while paternal genes were mostly concentrated in the peripheral antenna system. Four important genes were identified in maize heterosis and high planting density, all with functions in photosynthesis, starch biosynthesis, auxin metabolism, gene silencing, and RNAi. Differentially expressed gene, heterosis, maize, planting density, transcriptome, weighted gene co-expression network analysis Introduction Heterosis or hybrid vigor is an important biological phenomenon that has significantly improved human food supply because agronomically important traits and performance of hybrids are superior to those of their parents. Plant breeders have utilized heterosis to develop higher yielding, better performing hybrids in many crop species. Heterosis in maize (Zea mays L.), which was independently proposed by East and Shull in the early 1900s (Shull, 1952), became the primary reason for its successful commercialization (Stuber et al., 1992). The first known attempts at heterosis were made by 19th century farmers who hybridized maize landraces (Anderson and Brown, 1952) that represented a major turning point in developing hybrids with significantly increased yield. Maize landraces (open-pollinated varieties) were developed to adapt to various environmental conditions by long-term domestication and natural and artificial selection, resulting in varieties well adapted to local cultivation conditions and highly resistant to diseases. Maize single-cross hybrids have been produced and cultivated since the late 1950s. In China, the two main landraces, Lvda Red Cob (LRC) and Tang Si Ping Tou (SPT), had been grown extensively but with low yield before 1950. By the mid to late 1970s, progress was achieved by developing significantly improved single-cross hybrids with high stability and yield. Based on classical genetics, several hypotheses have been proposed to explain heterosis in single-cross hybrids. These included dominance, pseudo-overdominance, overdominance, and epistasis (Shull, 1908; Powers, 1944; Birchler et al., 2003, 2006). Recent transcriptome analyses revealed that non-additive gene expression was prevalent (Guo et al., 2003; Auger et al., 2005; Uzarowska et al., 2007; Ma et al., 2016), while additive expression was predominant in other studies (Stupar and Springer, 2006; Swanson-Wagner et al., 2006; Meyer et al., 2007; Paschold et al., 2012). This discrepancy might be explained by differences in the genotypes, plant tissues, experimental designs, and statistics used in these studies (Hochholdinger and Hoecker, 2007). In addition to heterosis, increasing the planting density also contributed to improving the maize grain yield (GY). Planting density and GY per unit area have increased in popularity as maize productivity metrics since 1930 (Mansfield and Mumm, 2014). Several studies reported that microarray analysis disclosed transcriptional changes in maize in response to planting density stress. For example, in 12-day-old maize seedlings from five inbred lines, St. Pierre et al. (2011) found 35 differentially expressed genes (DEGs) in response to plant density stress. In maize hybrid seedlings at the four-leaf stage, Guo et al. (2004) found two genes presenting allelic differences in transcript accumulation under high and low planting densities. In immature ear tissues of hybrid maize, the percentage of genes exhibiting mid-parent expression decreased with increasing planting density. Nevertheless, the proportion of additively expressed alleles was positively correlated with hybrid yield and heterosis (Guo et al., 2006). Therefore, differential allele regulation may play important roles in hybrid yield and heterosis (Guo et al., 2004, 2006). In developed countries, increases in GY have been attributed to genetic improvement, advanced crop management practices, and high tolerance to biotic and abiotic stresses, including high planting densities (Tollenaar et al., 1997; Tollenaar and Wu, 1999). As planting densities increase, the GY per plot increases, whereas the contribution of heterosis to GY decreases. Therefore, a balance between heterosis and planting density is necessary for GY improvement. In this study, four inbred Chinese maize lines (Zheng58, Chang7-2, Ye478, and Huangzaosi) and their cross combinations were subjected to RNA sequencing analysis. These four inbred lines belong to popular heterotic groups used in China that have played important roles in the genetic improvement of Chinese maize. Zheng58 and Ye478 belong to the Reid heterotic group and were used as maternal parents. Zheng58 was developed from Ye478 and an unknown inbred line. Chang7-2 and Huangzaosi are important inbred lines of the SPT heterotic group that were used as paternal parents. Chang7-2 was developed from Huangzaosi and two other inbred lines. Zheng58 and Chang7-2 are the parents of the commercial hybrid Zhengdan958 which is currently the most widely grown variety in China. Ye478 and Chang7-2 are the parents of the commercial hybrid Anyu5 which was extensively cultivated in the 1990s. This study used transcriptome analysis for examining maternal and paternal effects on heterosis, identifying heterosis-related genes in maize, and elucidating the molecular mechanism of heterosis in response to planting density stress. Materials and methods Plant materials and field experiment design Zheng58, Chang7-2, Ye478, and Huangzaosi, and their four hybrids, Zheng58/Chang7-2 (Zhengdan958), Ye478/Chang7-2 (Anyu5), Zheng58/Huangzaosi, and Ye478/Huangzaosi, were grown at 45000 and 67500 plants ha–1 in a randomized block design (four rows per block) with three replicates. The trials took place in the summer of 2014 and 2015 on the experimental fields of the Henan Academy of Agricultural Sciences, China. For convenience, Zheng58, Ye478, Chang7-2, and Huangzaosi are designated as AA, BB, CC, and DD, respectively; AC, BC, AD, and BD are used to represent Zhengdan958, Anyu5, Zheng58/Huangzaosi, and Ye478/Huangzaosi, respectively. Agronomic trait measurements and statistical analyses At maturity, all maize ears within each block were harvested. Twenty ears per plot, replicate, and material were randomly selected from the 45000 plants ha–1 density. At the 67500 plants ha–1 density, 30 ears per plot, replicate, and material were randomly selected. Grain moisture content was measured in two replicates using a PM-8188-A moisture meter (Kett Electric Laboratory, Tokyo, Japan). After threshing, the GY was determined and then adjusted to 14% moisture. The GY per plant (GYP) was calculated by dividing GY by 20 or 30, according to planting density. Kernel row number (KRN), kernel number per row (KNR), kernel number per ear (KNE), ear length (EL), ear diameter (ED), plant height (PH), and ear height (EH) were measured in five maize ears. Four parental lines are inbred with a heterosis index (HI) of one. The HI of the four hybrids was calculated for all these traits according to: HI=F1(P1+P2)/2×100% (1) The difference in GY and other traits between the 45000 and 67500 plants ha–1 planting densities were evaluated using Student’s t-tests. ANOVA of GY and GY HI was conducted considering varieties (eight materials), three replicates, two planting densities, and variety×density interactions. Duncan’s multiple comparison test was used to evaluate significant differences between means when a significant effect was found by ANOVA. Student’s t-tests, ANOVA, and Duncan’s multiple comparison tests were performed with the t.test, aov, and duncan.test functions in R (https://www.r-project.org/), respectively. RNA extraction and sequencing Photosynthetic efficiency and ear leaf area are significantly and positively correlated with GY in maize (Agrama et al., 1999). Therefore, 15 d after pollination, 25 ear leaves were collected from plants in the two middle rows of each replicate within each material and planting density. The three plants in the front and back of each row were excluded. Total RNA was extracted from the leaves using TRIzol® Reagent (Invitrogen, Carlsbad, CA, USA) following the manufacturer’s instructions. Oligo(dT) magnetic beads (Illumina, San Diego, CA, USA) were used to obtain purified mRNA. The cDNA libraries were constructed using a TruSeq Stranded mRNA LT Sample Prep Kit (Illumina). Transcriptome sequencing was performed on the Illumina HiSeq X Ten platform according to the manufacturer’s protocol. Identification and functional analysis of differentially expressed genes After filtering, clean sequence reads were aligned to the B73 reference genome (ftp://ftp.ensemblgenomes.org/pub/release-29/plants/fasta/zea_mays/dna/Zea_mays.AGPv3.29.dna.toplevel.fa.gz) using TopHat v.2.0.10 (http://ccb.jhu.edu/software/tophat/index.shtml). Only uniquely matched reads were selected and used. Gene expression was calculated and normalized to fragments per kb per million reads (FPKM) using Cufflinks v.2.1.1 (http://cole-trapnell-lab.github.io/cufflinks/). The expression cut-off was defined as FPKM >0.5. To interpret the relatedness among the eight materials graphically, cluster analysis was performed using the heatmap.2 function in gplots (http://cran.r-project.org/web/packages/gplots/index.html) with default settings. The average FPKM value of three replicates was used for the clustering. Zhengdan958 (AC) and Anyu5 (BC) or Zheng58/Huangzaosi (AD) and Ye478/Huangzaosi (BD) have the same paternal lines but different maternal lines. Therefore, differences in the transcription profiling between Zhengdan958 and Anyu5 or between Zheng58/Huangzaosi and Ye478/Huangzaosi might be explained by the maternal lines Zheng58 (AA) and Ye478 (BB). Genes presenting such profiles have the same paternal parents but different maternal lines and are therefore called maternal-effect genes. We found DEGs among AC, BC, and CC transcriptomes, and among AD, BD, and DD transcriptomes, and common maternal-effect DEGs between them. Genes with the same maternal parents but different paternal lines are called paternal-effect genes. Paternal-effect DEGs were found by comparing the FPKM values of DEGs in AC, BC, AD, and BD with that in their maternal lines (AA and BB). In addition, DEGs between 45000 plants ha–1 (CK) and 67500 plants ha–1 were identified for the eight materials. Read counts were obtained by HTSeq (http://www-huber.embl.de/users/anders/HTSeq/doc/overview.html). Negative binomial distribution of DESeq (http://www.bioconductor.org/packages/release/bioc/html/DESeq.html) was used to test significant differences of read counts. Base mean (mean of normalized counts) was used to represent the expression value for differential expression analysis. The significance threshold was P<0.05. The log2 fold change threshold was not used in this analysis. Both additive and non-additive expression patterns of DEGs were found in the four hybrids. Additive expression means that the hybrid expression level is equal to the mid-parent expression level. Non-additive expression occurs when the hybrid expression level deviates from the mid-parent expression value. The Audic–Claverie statistic was used to detect significant levels of additive and non-additive gene expression (Audic and Claverie, 1997). Gene Ontology (GO) and Kyoto Encyclopedia of Genes and Genomes (KEGG) annotations were performed for DEGs. The hypergeometric distribution test was used in GO enrichment analysis and in KEGG enrichment pathway analysis. The GO terms within the category ‘biological process’ (BP) were obtained from http://geneontology.org/. A GO term was considered significantly enriched if the Benjamini and Hochberg (BH) false discovery rate (FDR) cut-off was <0.05. The KEGG pathways were assigned using the KEGG software package (http://www.kegg.jp/), and considered significant if P<0.05. Identification of gene co-expression modules Gene co-expression modules were assigned using the weighted gene co-expression network analysis (WGCNA) protocol (Zhang and Horvath, 2005; Langfelder and Horvath, 2007, 2008), based on the log2 of the FPKM data of all expressed genes. The Dynamic Tree Cut algorithm was used to cut the hierarchal clustering. The minimum module size was 50 genes and the soft threshold power β was set to 11. Significant module–trait associations were identified by correlating the module eigengenes with the GY HI. The eigengenes represented the gene expression pattern within a module (Langfelder and Horvath, 2007). Cytoscape v.3.0.2 (Shannon et al., 2003) was used to display the co-expression network. A module was considered significant if the absolute gene significance value was substantially greater than 0.9 and the absolute correlation coefficient value was >0.5 and significant (P<0.05). The functions of co-expressed genes were also classified by GO and KEGG enrichment analyses, and their significance tests and threshold were the same as those used for DEG analysis. The FPKM values of genes found by WGCNA were analyzed as the phenotypic data in the ANOVA framework. The HI of the genes of the four hybrids was calculated according to the formula described previously. The parental HI of the transcriptome was 1 as they are inbred lines, which was the same as that of GY HI. ANOVA of genes also contained varieties (eight materials), three replicates, two planting densities, and variety×density interactions. Quantitative real-time PCR validation Four hybrids were grown at Hainan, China, in December 2015, and selfed to obtain F2 progeny. In the summer of 2016, the four F2 populations derived from the hybrids were grown in six rows at 90000 plants ha–1 on an experimental field at the Henan Academy of Agricultural Sciences. After open pollination, leaves from plants in the four middle rows of each F2 population were collected. The three plants in the front and back of each row were excluded. The ears corresponding to the excised leaves were harvested, and GYP for each F2 population was calculated. As it followed a normal distribution, the six best and six worst ears were chosen from each F2 population based on GYP. The four inbred parents were grown at 67500 plants ha–1 and their leaves were collected for gene expression validation. Gene expression quantification was obtained from reverse transcription–PCR (RT–PCR). For the reverse transcription, 0.5 μg of RNA and 2 μl of 4× gDNA wiper mix were combined, and nuclease-free H2O was added to bring the total volume to 8 μl. The reactions were run in a GeneAmp® PCR System 9700 (Applied Biosystems, Foster City, CA, USA) for 2 min at 42 °C. After adding 2 μl of 5× HiScript II Q RT SuperMix IIa (Vazyme, Nanjing, China) to the reaction mixture, amplifications were run in a GeneAmp® PCR System 9700 (Applied Biosystems) for 10 min at 25 °C, 30 min at 50 °C, and 5 min at 85 °C. The 10 μl reverse transcription reaction mix was then diluted 10× in nuclease-free water and stored at –20 °C. Quantitative real-time PCR (qRT-PCR) was performed in the LightCycler® 480 II Real-time PCR Instrument (F. Hoffmann-La Roche AG, Basel, Switzerland) using 10 μl PCR reaction mixtures including 1 μl of cDNA, 5 μl of 2× QuantiFast® SYBR® Green PCR Master Mix (Qiagen, Hilden, Germany), 0.2 μl of forward primer, 0.2 μl of reverse primer, and 3.6 μl of nuclease-free water. Reactions were incubated in a 384-well optical plate (F. Hoffmann-La Roche AG) at 95 °C for 5 min, followed by 40 cycles of 95 °C for 10 s and 60 °C for 30 s. Each sample was run in triplicate. At the end of the PCR cycles, a melting curve analysis was performed to validate the expected quantity of the PCR product. The primers for qRT-PCR were designed using mRNA sequences from the National Center for Biotechnology Information (NCBI) database, and synthesized by Generay Biotech (Beijing, China). The ratio of target genes to the reference gene (Actin) was used to describe the relative target gene expression. Ten of the genes identified by WGCNA were validated. The FPKM values of genes expressed by plants grown at the 45000 and 67500 plants ha–1 densities were correlated with the qRT-PCR expression values (67500 plants ha–1) obtained for the four parents. A regression analysis was performed on the GYP of each of the 12 progeny from the four F2 populations on the expression values determined by qRT-PCR. The lm function in R was used to perform this regression analysis. The additive and non-additive target gene patterns were classified for each F2 population according to the expression found in the 12 F2 individuals relative to that found in their parents. Results Phenotypic performance of maize hybrids and their parents at 45000 and 67500 plants ha–1 Both GY and GYP were significantly and positively correlated with all other traits except KRN (r=0.7969–0.9676, P<0.05) at both planting densities (Suuplementary Tables S1, S2 at JXB online). The GY of all materials was significantly higher at 67500 plants ha–1 than at 45000 plants ha–1 (Supplementary Fig. S1A). There was no significant difference between high and low planting densities for all other traits (Supplementary Fig. S1A). The GY or their heterosis indices for the eight materials, two planting densities, and variety×density interactions were significant (P<0.01; Supplementary Tables S3, S4). The GY and their heterosis indices were significantly higher in the four hybrids than in their four parents. Differences in GY between Zhengdan958 (Zheng58/Chang7-2) and Anyu5 (Ye478/Chang7-2), between Anyu5 and Zheng58/Huangzaosi, and between Zheng58/Huangzaosi and Ye478/Huangzaosi were significant at 67500 plants ha–1 (Fig. 1A). However, none of the four hybrids significantly differed in terms of GY at 45000 plants ha–1 (Fig. 1A). The four hybrids did not significantly differ in terms of GY HI at the high planting density (Fig. 1B), but they significantly differed at the low planting density (Fig. 1B). When the planting density increased from 45000 plants ha–1 to 67500 plants ha–1, the GY per plot of all four hybrids increased but their GY HI decreased. Therefore, the contribution of heterosis to GY decreased with increasing planting density. Fig. 1. View largeDownload slide Bar charts of Duncan’s multiple comparison test for grain yield (GY) (A) and GY heterosis index (HI) (B). Data represent the means ±SE. Lower case letters above error bars represent results of Duncan’s multiple comparisons at the 0.05 significant level. Means with the same letter are not significantly different. AA, BB, CC, and DD represent four parental lines Zheng58, Ye478, Chang7-2, and Huangzaosi, respectively. AC, BC, AD, and BD represent four F1 hybrids Zhengdan958 (Zheng58/Chang7-2), Anyu5 (Ye478/Chang7-2), Zheng58/Huangzaosi, and Ye478/Huangzaosi, respectively. Fig. 1. View largeDownload slide Bar charts of Duncan’s multiple comparison test for grain yield (GY) (A) and GY heterosis index (HI) (B). Data represent the means ±SE. Lower case letters above error bars represent results of Duncan’s multiple comparisons at the 0.05 significant level. Means with the same letter are not significantly different. AA, BB, CC, and DD represent four parental lines Zheng58, Ye478, Chang7-2, and Huangzaosi, respectively. AC, BC, AD, and BD represent four F1 hybrids Zhengdan958 (Zheng58/Chang7-2), Anyu5 (Ye478/Chang7-2), Zheng58/Huangzaosi, and Ye478/Huangzaosi, respectively. Global gene expression in maize hybrids and their parents at 45000 and 67500 plants ha–1 To identify heterosis-related genes affected by planting density, 48 maize RNA libraries were constructed and sequenced. Raw sequence data are available at the Sequence Read Archive of NCBI (accession no. SRP136913). Genes with FPKM <0.5 were filtered out and excluded, resulting in 15496 expressed genes (Supplementary Table S5). Gene expression correlations were high among the three biological replicates. The average correlation coefficient range was 0.98–0.99 for both planting densities (Fig. 2A). The maternal lines, Zheng58 and Ye478, and the paternal lines, Chang7-2 and Huangzaosi, were clustered in one group each (Fig. 2B, C). The two maternal lines formed a cluster with all four F1 hybrids, whereas the paternal lines did not cluster with any hybrid (Fig. 2B, C), indicating that the four hybrids had a closer relationship with their maternal parents than with their paternal parents. Fig. 2. View largeDownload slide (A) Average correlation coefficient among three biological replicates of four inbred lines and their F1 hybrids based on FPKM values at 45000 and 67500 plants ha–1. (B) Dendrogram of expressed genes for four inbred lines and four hybrids at 45000 plants ha–1. (C) Dendrogram of expressed genes for four inbred lines and four hybrids at 67500 plants ha–1. (D) Number of differentially expressed genes between transcriptomes of four hybrids against their parents at 67500 plants ha–1. In (B) and (C), Euclidean distance was used to compute the distance of four inbred lines and four hybrids on the basis of FPKM values of expressed genes. Small values (distance) are represented by dark squares and larger values by lighter squares. AA, BB, CC and DD represent four parental lines Zheng58, Ye478, Chang7-2, and Huangzaosi, respectively. AC, BC, AD, and BD represent four F1 hybrids Zhengdan958 (Zheng58/Chang7-2), Anyu5 (Ye478/Chang7-2), Zheng58/Huangzaosi, and Ye478/Huangzaosi, respectively. Fig. 2. View largeDownload slide (A) Average correlation coefficient among three biological replicates of four inbred lines and their F1 hybrids based on FPKM values at 45000 and 67500 plants ha–1. (B) Dendrogram of expressed genes for four inbred lines and four hybrids at 45000 plants ha–1. (C) Dendrogram of expressed genes for four inbred lines and four hybrids at 67500 plants ha–1. (D) Number of differentially expressed genes between transcriptomes of four hybrids against their parents at 67500 plants ha–1. In (B) and (C), Euclidean distance was used to compute the distance of four inbred lines and four hybrids on the basis of FPKM values of expressed genes. Small values (distance) are represented by dark squares and larger values by lighter squares. AA, BB, CC and DD represent four parental lines Zheng58, Ye478, Chang7-2, and Huangzaosi, respectively. AC, BC, AD, and BD represent four F1 hybrids Zhengdan958 (Zheng58/Chang7-2), Anyu5 (Ye478/Chang7-2), Zheng58/Huangzaosi, and Ye478/Huangzaosi, respectively. DEGs between both planting densities were identified for parental lines and their hybrids. The 45000 plants ha–1 planting density was considered the control condition. For Zheng58 and Ye478, the number of down-regulated DEGs between the two planting densities was higher than that of the up-regulated DEGs; 77.42% of 1045 genes and 64.57% of 525 genes were down-regulated in Zheng58 and Ye478, respectively (Supplementary Fig. S2A). For Huangzaosi and Chang7-2, the number of up-regulated DEGs between the two planting densities was higher than that of the down-regulated DEGs; 69.32% of 502 genes and 80.34% of 880 genes were up-regulated in Huangzaosi and Chang7-2, respectively (Supplementary Fig. S2A). Therefore, as planting density increased, most maternal genes in the maize ear leaves were repressed, while most paternal genes were induced. Maternal-effect and paternal-effect DEGs have significant functions in response to high planting density stress To analyze maternal and paternal effects on heterosis in response to planting density, the DEGs in AC, BC, and CC transcriptomes, AD, BD, and DD transcriptomes, AC, AD, and AA transcriptomes, and BC, BD, and BB transcriptomes were examined. We found common DEGs (maternal-effect) between AC, BC, and CC transcriptomes and AD, BD, and DD transcriptomes. Common paternal-effect DEGs were found between AC, AD, and AA transcriptomes, and BC, BD, and BB transcriptomes. At 45000 plants ha–1, there were nine DEGs each in the AC>BC>CC and AD>BD>DD transcriptomes, and in the ACAD>AA and BC>BD>BB transcriptomes, and in the ACBC>CC and BC>BD>DD transcriptomes, and 148 DEGs were found in the ACAD>AA and BC>BD>BB transcriptomes, and 110 DEGs from the ACBC>CC transcriptomes (34 DEGs) and AD>BD>DD transcriptomes (28 DEGs) than in the AC>AD>AA transcriptomes (seven DEGs) and BC>BD>BB transcriptome (seven DEGs) (Supplementary Fig. S3A). Therefore, maternal-effect genes mainly participated in the synthesis of energy storage materials. The total number of GO terms and DEGs associated with biotic and abiotic stress responses and plant hormone production was higher in AC>AD>AA transcriptomes (24 DEGs) and BC>BD>BB transcriptomes (22 DEGs) than in AC>BC>CC transcriptomes (25 DEGs) and AD>BD>DD transcriptomes (14 DEGs) (Supplementary Fig. S3B, C). Therefore, paternal-effect genes were primarily involved in adaptation to environmental stress. At a density of 67500 plants ha–1, 34 paternal-effect genes common to transcriptomes AC>AD>AA and BC>BD>BB, and four paternal-effect genes common to transcriptomes ACBC>CC and AD>BD>DD, and four maternal-effect genes overlapping transcriptomes ACAD>AA, BC>BD>BB, AC>BC>CC, and AD>BD>DD at 67500 plants ha–1. Fig. S4. Scatterplots of gene significance for GY HI versus module membership in significant modules for maternal WGCNA at 45000 and 67500 plants ha–1. Fig. S5. Scatterplots of gene significance for GY HI versus module membership in significant modules for paternal WGCNA at 45000 and 67500 plants ha–1. Fig. S6. Significant KEGG pathways and number of genes involved for maternal and paternal WGCNA at 45000 and 67500 plants ha–1. Fig. S7. Photosynthesis–antenna protein pathway in maternal significant modules at 45000 and 67500 plants ha–1. Fig. S8. Photosynthesis pathway in maternal and paternal significant modules at 45000 and 67500 plants ha–1. Fig. S9. Photosynthesis–antenna protein pathway in paternal significant modules at 45000 and 67500 plants ha–1. Fig. S10. Ubiquitin-mediated proteolysis pathway in maternal significant modules at 45000 and 67500 plants ha–1. Fig. S11. Line charts of expression values by transcriptome at 45000 and 67500 plants ha–1, and by qRT-PCR at 67500 plants ha–1 of 10 genes in four parental lines. Fig. S12. Linear regression of GYP in the F2 population derived from Zhengdan958 on expression values by qRT-PCR in 10 genes. Fig. S13. Linear regression of GYP in the F2 population derived from Anyu5 on expression values by qRT-PCR in 10 genes. Fig. S14. Linear regression of GYP in F2 population derived from Zheng58/Huangzaosi on expression values by qRT-PCR in 10 genes. Fig. S15. Linear regression of GYP in the F2 population derived from Ye478/Huangzaosi on expression values by qRT-PCR in 10 genes. Fig. S16. Gene expression pattern of 10 genes by qRT-PCR. Acknowledgements This work was funded by the National Key Research and Development Program of China (2016YFD100103), the National Natural Science Foundation of China (31471566), and the Major Science and Technology Projects in Henan Province, China (161100110500). We would like to thank Oebiotech company (Shanghai, China) for RNA sequencing and related data analyses. References Agrama HAS , Zakaria AG , Said FB , Tuinstra M . 1999 . Identification of quantitative trait loci for nitrogen use efficiency in maize . Molecular Breeding 5 , 187 – 195 . Google Scholar Crossref Search ADS Anderson E , Brown WL . 1952 . The history of the common maize varieties of the United States corn belt . Agricultural History 26 , 2 – 8 . Audic S , Claverie JM . 1997 . The significance of digital gene expression profiles . Genome Research 7 , 986 – 995 . Google Scholar Crossref Search ADS PubMed Auger DL , Gray AD , Ream TS , Kato A , Coe EH Jr , Birchler JA . 2005 . 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For permissions, please email: journals.permissions@oup.com This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model) TI - Heterosis-related genes under different planting densities in maize JF - Journal of Experimental Botany DO - 10.1093/jxb/ery282 DA - 2018-10-12 UR - https://www.deepdyve.com/lp/oxford-university-press/heterosis-related-genes-under-different-planting-densities-in-maize-Ya5ZYCMBrS SP - 5077 VL - 69 IS - 21 DP - DeepDyve ER -