Supplemental methods Ribo-minus and non-polyA RNA sequencing We first sequenced total RNAs from the mixed tissues (inflorescences, rosette leaves, cauline leaves and stems) of Arabidopsis. Tissues and seedlings were frozen in liquid nitrogen and immediately used to isolate total RNAs (QIAGEN RNeasy Plant Mini Kit), with a further step of DNase treatment. The RNAs were then quantified using NanoDrop 1000. The same amount of tissue RNAs were mixed. Ribosomal RNAs were then deleted using the RiboMinus™ Plant Kit, repeated three times. RNAs were then fragmented and enriched by agarose gel at ~330 nt. A strand-specific cDNA library was constructed by ligating different adapters according to the SMART library construction method (Levin et al., 2010), and then sequenced by Illumina HiSeq 2000 using the 100 nt paired-end sequencing protocol. We then sequenced nine poly(A)- RNAs from seedlings treated with different stress conditions at different times (Table S1). The poly(A)- RNAs were collected by removing poly(A)+ RNAs four times using the Oligotex mRNA Mini Kit (QIAGEN). Then rRNAs were removed from poly(A)- RNAs three times as above. Fragmentation and enrichment of RNAs after poly(A)+ RNAs and rRNAs removal were the same as described for the mixed tissue RNA sequencing. Fragments (200~500 nt) were excised from the gel and purified for sequencing. We used the SMART™ cDNA Library Construction Kit for strand-specific cDNA library construction. The 100 nt single-end sequencing protocol of Illumina HiSeq 2000 was selected. Transcriptome reassembly and filtering for predicted lncRNA transcripts For the mixed-tissue total RNA-seq, the first four and the last five nucleotides of raw reads were trimmed; for poly(A)- RNA-seq data, the first three nucleotides of raw reads were trimmed because of poor quality using the FASTX-toolkit. Reads were then mapped to TAIR10 rRNA sequences by Bowtie (v 0.12.9) with one mismatch, and retained reads were further mapped to the TAIR10 genome using TopHat (v 2.0.8) with two mismatches. Transcriptomes were re-assembled using the Cufflinks and Cuffmerge programs following the pipeline (Trapnell et al., 2012). Then, we performed several stringent filters to clean potential noise: [1] we filtered the transcripts if they overlapped TAIR10 annotated coding genes or noncoding RNAs with more than one nucleotide on the same strand, [2] we filtered the transcripts if they were able to align with specific types of canonical ncRNAs in miRBase, Plant snoRNAdb, tRNAdb or Rfam (Brown et al., 2003, Burge et al., 2013, Juhling et al., 2009, Kozomara and Griffiths-Jones 2011, Trapnell et al., 2012) using the Blast program (default cutoff), [3] we used INFERNAL to scan the Arabidopsis genome for homologs of structured ncRNAs in Rfam (E <= 0.01 as cutoff), and filtered overlapping transcripts, [4] we calculated the CPC scores using the CPC program (default parameters), and filtered ncRNA transcripts with higher coding potential (CPC score > 0) (Kong et al., 2007), and [5] we filtered several transcripts that aligned with mitochondria or chloroplast sequences using the BLASTn program (default cutoff). We have kept 409 assembled transcripts that are overlapping with the annotated lncRNAs, and performed the filtering steps in Figure 1. We found 18 transcripts can be aligned to the known sequences of canonical ncRNAs annotated in miRBase, Plant snoRNAdb, or tRNAdb, 6 transcripts have homologs in Rfam, and 35 transcripts have coding potential score (CPC score) larger than 0. Overall, 85.6% of the lncRNA passed the filters. The false negative rate is 14.4%, if we assume that all the annotated lncRNAs are truly functional. However, we need to note that most of the annotated lncRNAs in the database have not been well validated by solid experiments. Gold-standard set of annotations The gold-standard annotations of Arabidopsis thaliana genome were downloaded from TAIR database version 10 (Lamesch et al., 2012). We first defined the genic regions using the annotation of coding genes, all kinds of known ncRNAs, pseudogenes, and transposable elements. The regions that are 500 nt from the genic regions were defined as intergenic regions. The known ncRNAs include 899 canonical ncRNAs (4 rRNAs, 631 tRNAs, 71 snoRNAs, 299 miRNAs, 13 snRNAs and 9 siRNAs) and 469 lncRNAs (annotated as “other RNA” in TAIR10, filter out siRNA primary transcripts and those shorter than 200 nt). For model training and testing, the entire Arabidopsis thaliana genome was split into 4,765,850 small bins (each 100 nt), and each two neighboring bins have 50 nt overlap. If a genomic bin has more than 50 nt overlapped with known ncRNAs in gold-standard set, it was defined as a ncRNA bin; if a bin has more than 90 nt overlapped with CDS, UTR or intergenic region, it was annotated correspondingly (Lu et al., 2011). High-throughput data process We have curated 147 high throughput sequencing and microarray data in our integrative model (Table S2A). Twenty-six sets of poly(A)+ RNA sequencing data were collected, sixteen were treated under various stress conditions (SRA: SRP000935) (Filichkin et al., 2010), the remaining were produced from different generations of Col-0 wild-type plants at normal condition (ENA: ERP000902) (Becker et al., 2011). Thirteen sets of small RNA sequencing data were from three groups, with GEO accessions GSE10967 (Lister et al., 2008), GSE11070 (Gregory et al., 2008), and GSE11094 (German et al., 2008). For these RNA-seq data, raw reads (fastq format) were first mapped by Bowtie with the parameters -m 10 -v 1(-v 0 in small RNA-seq). The normalized value (RPKM, reads per kilobase per million) was then assigned to each genomic bin (every 100nt of the genome) by DEGseq package (Wang et al., 2010). The maximum bin value among multiple samples was taken as the bin score if sequenced by the same technology (e.g. poly(A) enriched). We also collected seventy-eight poly(A)+ RNA tiling array data (GEO: GSE13584) from (Zeller et al., 2009) and six total RNA tiling array data from (Laubinger et al., 2008). Normalized signals for probes were calculated by R package AffyTiling, and the average intensity of probes was assigned to each bin (every 100nt of the genome). The feature score of each bin was counted as done with sequencing data. We defined a set of unexpressed intergenic regions as a negative control, whose expression are lower than the mean expression of all genomic elements in all of the RNA-seq and array samples (Lu et al., 2011). The ChIP-seq data for histone modification was GSE28398 (Luo et al., 2012). Histone modifications were conducted from raw reads, after bowtie mapping (same parameters with small RNA-seq), we used MACS14 to convert mapped reads to background normalized signals, and assign averaged signals on each bin. Peaks for histone modification were identified with default p-value of cutoff 1e-05, if the summit of peak located in 1.5 kb upstream of a TSS (transcription start site) or gene body region, the genomic element (mRNA or lncRNA) was defined as the target of this modification (Charron et al., 2009, Zhou et al., 2010). ChIP-seq data for transcription factor binding sites were from several public datasets (used in lncRNA characterization), with GEO IDs GSE35059, and GSE35315 (Oh et al., 2012). The TF signals were calculated from five ChIP-seq data sets, similar to histone modification. Peaks were also called by using MACS14 with default p-value cutoff 1e-05, if the summit of peak located in 1 kb upstream or 100 bp downstream of a TSS (transcription start site), the genomic element was defined as the target of this TF (Charron et al., 2009, Zhou et al., 2010). BS-seq data for DNA methylation data was also from SRA: ERP000902 (Becker et al., 2011). DNA methylation analysis was performed using Bismark software with default parameters (Liao et al., 2011). The probability of methylated cytosine of CpG, CHH, CHG context was calculated, and sum of these probabilities on each bin was considered as the methylation feature score. The DNA methylation target was defined if the genomic element (mRNA, known ncRNA and predicted lncRNA candidates) contained methylation sites (probability of methylated cytosine above 80%) (Chuang et al., 2012). Calculations of sequence and structural features We calculated seven sequence and structure features (GC content, DNA sequence conservation, protein sequence conservation, coding potential, RNA secondary structure stability, RNA structure conservation, homologs in Rfam) for each genomic bin (every 100nt of genome) (Table S2B). DNA conservation was measured with BLASTn using default parameters; the genome sequences of 31 plant species downloaded from PlantGDB were used as library database. The maximum bit score was used as the feature score. Protein conservation was identified using BLASTx in a similar manner. The coding potential of each bin was measured by RNAcode with default parameters (Washietl et al., 2011). RNA secondary structure stability of bins was calculated by RandFold program (Bonnet et al., 2004), with 1000 times of dinucleotide random shuffling, and the p-value was used as the feature score. The RNA structure conservation value was denoted by SCI (structure conservation index) score, which was calculated by RNAz based on the multiple sequence alignments of A.thaliana, A. lyrata, T. halophile, C. papaya and C. clementine (downloaded from VISTA database). We assigned the minimum RNA structure stability score (RandFold p-values) and the maximum SCI score to the lncRNAs from overlapped bins. We used INFERNAL program (Nawrocki et al., 2009) to scan Arabidopsis genome, and identified all the homologs in Rfam. Then we assigned 1 or 0 to each bin according to whether it overlaps with the homologs (overlap at least 50 nt). Integrative model based on multiple features We predicted a ncRNA score for the whole Arabidopsis genome with a supervised machine learning method, incRNA (Gerstein et al., 2010, Lu et al., 2011). We curated 147 public datasets, which included 26 sets of RNA-seq data for poly(A)+ RNA, 78 sets of microarray data for poly(A)+ RNA, ten sets of ChIP-seq data for histone modification, and 14 sets of bisulfite-seq data for DNA-methylation (Table S2). In addition, we calculated seven computational scores (i.e., GC content, DNA conservation, protein conservation, RNA structure stability, RNA structure conservation, coding potential, and homologs in Rfam) over the entire Arabidopsis genome (see below). Using these high-throughput data and computational scores as input features, we built a model for ncRNAs (canonical and annotated lncRNAs), using CDSs (coding sequences), and unexpressed intergenic regions as negative controls. The gold-standard training and testing sets were based on the annotations of TAIR 10. Based on the gold-standard sets, we used 2/3 of the them for training, and the remaining 1/3 for independent validation, the model performance is shown in Figure S3a. The incRNA model (classifier: Random Forest) predicted the probabilities of every bin of the Arabidopsis genome (100 nt, two adjacent bins have 50 nt overlapped) to be ncRNA (either canonical ncRNA or lncRNA). We call this probability the ncRNA score. Feature score comparisons We calculated 25 feature scores for each genomic bin (Table S2). By assigning these scores to coding or noncoding transcripts, we compared their signal intensities for different groups of transcripts. For the features that tend to carry local effects (i.e., DNA conservation, structure features, and histone modification features), we calculated the maximum bin scores for each transcript. For the other features (e.g. RNA-seq signals), we calculated the average bin score for each transcript, and used these scores to measure signal intensities of transcripts. For comparison between lncRNAs and negative controls, we used the Mann-Whitney test to determine if the differences were significant (p-value< 0.05). Genomic locations of lncRNAs The genomic locations of the lncRNAs were summarized and compared in Figure 2c and Figure S6. If a lncRNA overlapped with small RNA-seq reads (the same smRNA-seq data used in the model) with more than one nucleotide, we classified it as small RNA (smRNA) precursor. For the other lncRNAs, if the overlapped element is pseudogene or transposable element (TE), we classified the lncRNA correspondingly. Antisense lncRNA means more than 50% length of a lncRNA overlapped with known coding transcripts on the opposite strand. Intergenic lncRNAs are located 500 nt away from coding transcripts or annotated ncRNAs (Liu et al., 2012), and cis lncRNAs are located within 500 nt from them without any overlaps. Sequence conservation in multiple plant species A phylogenetic tree was constructed based on divergence time (http://www.timetree.org/), and a neighbor-joining tree was built using MEGA5.0 (Tamura et al., 2011) (Figure S10). DNA conservation between Arabidopsis thaliana and 16 other organisms was measured using BLASTn. Paired t-tests were performed to determine if there were significant differences between lncRNAs and coding genes, or intergenic regions. Stress specificity score We adapted the tissue specificity score method (Cabili et al., 2011) to calculate a stress specificity score measuring the expression specificity responding to stress. This method uses Jensen-Shannon divergence to measure the distance between two expression patterns: 1, a transcript’s expressions across n stress conditions, ๐; and 2, a predefined extreme case of expression pattern, ๐ ๐ (only expressed under stress condition ๐ ), ๐ ๐ = { 1, ๐๐ ๐ ๐ก๐๐๐ ๐ ๐๐๐๐๐๐ก๐๐๐๐ . 0, ๐๐กโ๐๐ ๐๐๐๐๐๐ก๐๐๐๐ The distance is ๐ฝ๐๐๐๐ ๐ก (๐, ๐ ๐ ) = √๐ฝ๐(๐, ๐ ๐ ) , (1) where the JS divergence of two probability distributions, ๐1 ,๐2 , is defined to be ๐1 +๐2 ๐ฝ๐(๐1 , ๐2 ) = ๐ป ( 2 )− ๐ป(๐1 )+๐ป(๐2 ) 2 , (2) where H is the entropy of a discrete probability distribution as follows ๐ = (๐1 , ๐2 … ๐1๐ ), 0 ≤ ๐๐ ≤ 1 ๐๐๐ ∑๐๐=1 ๐๐ = 1 , (3) Then, the stress specificity of the transcript’s expression pattern, ๐, across n stress conditions with respect to stress ๐ can be defined as ๐ฝ๐๐ ๐ (๐|๐ ) = 1 − ๐ฝ๐๐๐๐ ๐ก (๐, ๐ ๐ ) , (4) Lastly, the stress specificity score of the transcript is defined as the maximal stress specificity score across all n stress conditions such that ๐ฝ๐๐ ๐ (๐) = ๐๐๐๐๐๐ฅ๐ ๐ฝ๐๐ ๐ (๐|๐ ), ๐ = 1 … ๐. Differential expression analysis (5) To find differentially expressed lncRNAs in plants exposed to different stress conditions, we assigned read counts of the poly(A)+ and poly(A)- lncRNAs with poly(A)+ RNA-seq and poly(A)- RNA-seq data separately using the DEGseq package (Wang et al., 2010).We normalized the raw read counts against the total mapped reads in each sample, and then used the MA-plot based method with a random sampling model to calculate the significance (p-values) and fold change of differential expression Different time points of the same stress treatment were merged together in the analysis. We used the fold change to measure the expression variations between stresses and control; k-means clustering was performed and the resulting heat maps are shown in Figure S11. The p-value of 0.05 and a two-fold change was set as the differential expression cutoff. When comparing the ratios of differentially expressed transcripts between lncRNAs, and coding genes, we used the χ2 test and with a stringent cutoff (p-value < 0.01). Co-expression network and gene ontology enrichment analysis We built a stress-related co-expression network based on 12 poly(A)+ RNA-seq data (Filichkin et al., 2010), and nine poly(A)- RNA-seq data that we sequenced from plants exposed to five different stress conditions. The poly(A)+ and poly(A)- lncRNAs’ RPKMs were calculated using the corresponding data. In the input gene list, we included all the GO annotated coding genes with lncRNAs. We retained only genes and lncRNAs whose maximum RPKM among multiple samples was above the 75% percentile of all expression values. The Pearson correlation coefficient (Pcc) was calculated to define co-expressed pairs (Pcc>0.95 as cutoff). The Bonferroni multiple test correction was introduced to each co-expressed pair, and a q-value of 0.01 was set as the cutoff. To annotate the co-expressed lncRNAs, we removed lncRNAs with less than three neighbors. The GO enrichment analysis was performed on the known classified neighbors using AgriGO (Du et al., 2010). Sequence and structural motif search Conserved sequence motif searches in a group of lncRNAs were carried out by MEME (Bailey et al., 2009), with motif width constrained to 4 to 12 nucleotides, which is the common RBP binding size. The significance threshold was set to an E-value of 0.05. For the lncRNAs selected by the co-expression network, we predicted the conserved structural motifs in grouped lncRNAs using the RNApromo (Rabani et al., 2008) program ‘rnamotifs08_motif_finder.pl’ (p-value < 0.001). Then, we used the predicted motifs to scan for similar structural motifs in all lncRNAs studied here. Before scanning, we refined a stringent set of lncRNAs: we calculated the structure conservation index (SCI) by RNAz (Gruber et al., 2010) for five closely related plant genomes (Arabidopsis thaliana, Arabidopsis lyrata, Carica papaya, Thellungiella halophile, Citrus clementina) for all lncRNAs, and only retained the conserved lncRNAs (SCI >0.5). The RNApromo program ‘rnamotifs08_motif_match.pl’ was used for scanning, with a likelihood score >0 and a FPR=0.05. To further verify the motifs, the background sequences were taken from more than 1000 bp upstream of the lncRNAs, with the same lengths (Zhong et al., 2010). For sequence motifs detected by MEME, we used MAST to search them in the background sequences. The default cutoff (p-value<0.0001) was used for motif match. We calculated the enrichments by comparing the number of matched motifs in lncRNAs to that in the background sequences, and used Fisher’s exact test to evaluate the statistical significance. For structural motif, we used a RNApromo program (Rabani et al., 2008) “rnamotifs08_motif _match.pl” to search the structural motifs (detected by “rnamotifs08 _motif_finder.pl”) in both lncRNAs and the background sequences. We used the matched structural motifs (log-likelihood score >0) to calculate the enrichment (fold-change). Then we used Mann-Whitney test to measure the difference of likelihood scores between lncRNAs and controls (Figure S16). Experimental validation of lncRNA candidates We validated poly(A)+ and poly(A)- lncRNAs by RT-PCR. Poly(A)+ RNAs, poly(A)- RNAs and total RNAs were obtained following the same procedure as sequencing library construction. cDNAs were synthesized from total RNAs, both of poly(A)+ RNAs and poly(A)- RNAs using the Superscript III Reverse transcription system (Invitrogen) and Random Hexamer primers. We designed specific primers to amplify selected lncRNAs in these cDNA libraries with RT-PCR, using the housekeeping gene ACT2 as positive control. We validated lncRNAs/coding genes that response to stress conditions using qRT-PCR. The qRT-PCR was performed with Roche LightCycler®480 II system using One Step SYBR® PrimeScript™ RT-PCR Kit (Perfect Real Time) (TaKaRa). Expression values were normalized by ACT2. To validate the pif4 and pifq mutants, we performed RT-PCR to test the mutated gene. We did the DNA digestion and reverse transcription for six samples, including Col-0, pif4 mutant and pifq mutant at normal condition and high light condition. For the high light treatment, we used the previous reported method(Filichkin et al., 2010). We amplified PIF4 in the pif4 mutant, and PIF1, PIF3, PIF4 and PIF5 in the pifq mutant. Then we did qRT-PCR to validate the differential expression for lncRNAs and PIF regulated marker genes in the six samples, the same strategy was applied as above. All the primers used in this study are listed in Table S5. 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