Systematic comparison of lncRNAs with protein coding mRNAs in population expression and their response to environmental change

De novo assembly and identification of putative lncRNAs

We performed RNA-seq to investigate 80 individuals of Miscanthus transcriptomes. Non-directional paired-end RNA-seq was carried out and ~2.76 billion 80 bp paired-end reads were generated after quality control. Population transcripts were assembled using the Pipeline PopART which combined multiple kmers and multiple individuals [33, 37]. Totally we obtained 818,491 transcripts, out of which 18,503 unique mRNAs from the 80 individuals were identified by blasting against the latest annotation of transcriptome references of close related species including Sorghum bicolor, Zea mays, Oryza sativa, and Brachypodium distachyon. To identify lncRNAs, we used Coding Potential Calculator software to evaluate the protein-coding potential for transcripts longer than 200 bp [38], and transcripts with the evidence of protein-coding potential were discarded. All the remaining transcripts were aligned against Rfam database to discriminate lncRNAs from previously annotated miRNA, rRNA, or other small noncoding RNA transcripts [39]. To obtain a more reliable data of lncRNAs and a better comparison between two environments, we discarded the lncRNA candidates that expressed in less than 20 individuals out of the 80 individuals. Under this criterion, a total of 17,610 putative lncRNAs were remained. This amount was similar to that of lncRNAs in Arabidopsis, rice and maize [16, 24].

The lengths of lncRNAs ranged from 200 to 5196 bp, the majority (92%) of which were around 200–600 bp (Fig. 1a and Additional file 1). The length of lncRNA was 683 bp in average and 352 bp in median, respectively, which was longer than those in Arabidopsis [24]. The length of protein coding mRNAs was 1601bp in average and 1425bp in average respectively. LncRNAs were significantly shorter than mRNAs in length (Wilcoxon test or t-test, P < 2.2e-16; Fig. 1a). In addition, GC content for lncRNAs and mRNAs were 46% and 51% in median, respectively. The lncRNAs showed significant lower GC content than mRNAs (Wilcoxon test or t-test, P < 2.2e-16; Fig. 1a and Additional file 1). In order to examine whether these candidate lncRNAs sequence assembly were reliable, 8 lncRNAs were randomly selected and validated by full-length PCR experiments. PCR results showed that the sequence identity ranged from 94% to 100% compared with the reference sequences assembled from population data (Table 1 and Additional file 2). As the reference sequences of these lncRNAs were assembled from the population transcriptome data, there could be some single nucleotide polymorphisms or indels (insertions and deletions). For example, the sequence of lncRNA_MluLR14524 by PCR method has an 84bp deletion compared with the reference sequence derived from with RNA-seq, which may be due to an alternative splicing of this individual or a chimera between two similar lncRNAs in the assembling data. In general, the results suggested a high quality assembly of the lncRNAs and they could be used for further analysis.

LncRNA	Assemble length	PCR length	Coverage	Identity
lncRNA_MluLR14385	960	907	94%	98%
lncRNA_MluLR14524	748	625	93%	94%
lncRNA_MluLR6328	687	593	86%	99%
lncRNA_MluLR15001	538	393	73%	99%
lncRNA_MluLR14468	586	516	88%	99%
lncRNA_MluLR14141	699	360	51%	100%
lncRNA_MluLR2250	781	281	35%	100%
lncRNA_MluLR6864	499	69	13%	100%

Higher expression diversity of lncRNAs compared with that of mRNAs within and across environments

We first set out to characterize the global expression pattern of lncRNAs in JH and QG. The expression level of lncRNAs in population (E _p) was calculated. Then, the expression levels of lncRNAs and those of protein coding mRNAs were compared. It was found that E _pS of lncRNAs in QG shifted significantly toward to lower levels, suggesting an overall depression of lncRNAs expression from JH to QG. The change of lncRNAs expression between two environments was examined by E _p ratios of QG to JH for each lncRNA, and it was found that the resulting distribution of log₂(E _p ratios) deviated significantly from 0 and skewed toward bottom (Wilcoxon test or t-test, P < 2.2e-16; Fig. 2 and Additional file 3), indicating that lncRNAs decreased expression level in QG. Compared with protein coding mRNAs, lncRNAs had significantly lower E _p ratios (Wilcoxon test or t-test, P < 2.2e-16; Fig. 2, Additional files 3 and 4). Meanwhile, lncRNAs had a wider range of E _p ratios than that of protein coding mRNAs (Fig. 2, Additional files 3 and 4).

To evaluate and compare population variation of lncRNAs expression within and between environments, we calculated and compared expression diversity (E _d) between JH and QG. Compared with protein coding mRNAs, lncRNAs had significantly higher E _d in both environments (Wilcoxon test or t-test, P < 2.2e-16; Fig. 3a, Additional files 3 and 4). Moreover, the distributions of E _d of lncRNAs were compared between two environments, and the result showed that E _d were significantly higher in QG than in JH with 60.3% of E _ds being elevated in QG (Wilcoxon test or t-test, P < 2.2e-16; Fig. 3, Additional files 3 and 4). The significant differentiation was also detected by E _d ratios between JH and QG for each lncRNA, and log₂(E _d ratios) of lncRNAs were compared with 0, and the distribution of log₂(E _d ratios) significantly deviated from 0 and skewed toward top (Wilcoxon test or t-test, P < 2.2e-16; Fig. 3b, Additional files 3 and 4). In addition, the E _d ratios of lncRNAs were significantly higher than protein coding mRNAs (Wilcoxon test or t-test, P < 2.2e-16; Fig. 3b, Additional files 3 and 4). The higher expression diversity of lncRNAs may suggest a relaxed expression regulation compared with protein coding mRNAs.

To evaluate the expression variation of lncRNAs in the population, we measured the expression frequency for each lncRNA in two environments. It was found that lncRNAs expressed at significantly lower frequency than protein coding mRNAs in both environments (Wilcoxon test or t-test, P < 2.2e-16; Fig. 4a and Additional file 5). Expression frequency in QG showed a lower level than JH for both lncRNAs and mRNAs (Wilcoxon test, P < 2.2e-16; t-test P < 0.01794; Fig. 4a and Additional file 5), suggesting an overall decrease of both lncRNAs and mRNA expression frequency from JH to QG. The change of lncRNAs and mRNAs expression frequency between two environments was examined by difference of QG to JH for each lncRNA and mRNA, respectively. It was found that lncRNAs had a broader range of the difference than mRNAs (Wilcoxon test or t-test, P < 2.2e-16; Fig. 4b and Additional file 5). The lower level and larger difference of expression frequency for lncRNAs might suggest the loosen expression regulation compared with protein coding mRNAs.

Differential expression of lncRNAs in environment responsive regulation

Emerging evidences showed that lncRNAs participate in stress responsive regulation when plants are in the face of stressful environment [15, 23], thus we analyzed the differential expression and variation of lncRNAs between the two environments. First, we plotted the number of individuals in which lncRNA expressed between two environments (Fig. 4c). Only 1376 (7.8%) of the 17610 lncRNAs expressed in all individuals (Fig. 4d and Additional file 5), and only 45 out of the 80 individuals could be detected the lncRNA expression in median (Additional file 5), suggesting the specific and differential expression manner of lncRNAs in our population. Specially, it was found that 2 and 59 lncRNAs were detected only in QG and JH (Additional file 5), respectively. These newly arisen lncRNAs in those regions or environment-specific lncRNAs may be related with environmental adaptation. It was also possible that they just lost from the other region and had no function. In addition, except the low frequency of lncRNAs which expressed in less than 10 individuals in JH, the expression frequency of lncRNAs between 2 environments was positively correlated (Fig. 4c), suggesting that most of these lncRNAs expressed at robust or similar expression frequency between environment, and also suggesting the accuracy of the estimation of lncRNAs expression.

On the other hand, the differentially expressed genes between two sites were tested to identify candidate genes responding to environmental stress. The expression level changes (E _p ratios) of 17,610 lncRNAs between two environments were calculated. The magnitude of fold change (log₂) in the expression level of lncRNAs under new environment was observed between −9 to 10.8 (Additional file 3). We obtained a total of 2,063 lncRNAs that were over 2- fold up- or down- regulated with FDRs less than 0.01, including 821 up-regulated and 1242 down-regulated lncRNAs (Additional file 3). Because genes with substantially increased expression diversity in new stress environment QG could have increased phenotypic variation upon which natural and artificial selection could act to improve adaptability of the Miscanthus species, we also calculated the expression diversity changes (E _d ratios) of lncRNAs between two environments for lncRNAs. The magnitude of fold change in the expression diversity of lncRNAs under stress condition ranged from 0.12 to 6.65 (Additional file 3). A total of 931 stress responsive lncRNAs with E _d ratio of more than 2-fold change were obtained. These lncRNAs may have higher potential in regulation of genes expression for contribution to adaptation.

To validate the reliability of the expression level, quantitative real-time PCR (qPCR) was performed to assay the accuracy of the RNA-seq by using 9 individuals from each field site for 8 lncRNAs which were differentially expressed between two environments. The relative quantitation of expression levels which was calculated using 2 ^–ΔΔCt method was compared with the FPKM values in RNA-seq data in each sample [32, 40–42] (Fig. 5). It was found that the relative expression levels determined by the two methods were significantly correlated except for lncRNA_MluLR5936 which had outlier value in 2 samples (Fig. 5). The results confirmed that the relative gene expression levels were reliable and could be used for further analysis.

Functions of differentially expressed lncRNAs based on lncRNA-mRNA co-expression network

The environmental-specific lncRNA-mRNA co-expression network between two environments can be used to identify key lncRNAs responding to environmental change. As genes with increased expression diversity in new environment may be relevant with adaptation, we filtered out 2003 lncRNAs and 4108 mRNAs with E _d ratio larger than 1.5. Finally 2 272 lncRNA-mRNA pairs with Spearman correlation coefficients larger than 0.7, including 1 052 mRNAs and 1 023 lncRNAs (Additional file 7), were identified for network construction. The similar amount of lncRNAs and mRNAs potentially responding to environmental change suggested that lncRNAs may play the roles as important as mRNAs in environmental adaptation. Two sub-networks containing 38 lncRNAs and 25 mRNAs with lncRNA-mRNA connection degree more than 10 were presented in detail (Fig. 6a). Out of the two sub networks, 12 and 26 lncRNAs were found to be up-regulated and down-regulated respectively, while 16 and 9 mRNAs were up-regulated and down-regulated respectively. Our network showed that one lncRNA could co-express with multiple mRNAs and one mRNA could be correlated with multiple lncRNAs. The network implied a complex relationship between lncRNAs and mRNAs.

Identification of key lncRNAs regulating water use efficiency (WUE)

Previous genome-wide association studies found hundreds of lncRNAs containing trait-associated SNPs, suggesting the putative contributions of lncRNAs to agricultural traits [16, 43], and we had identified 48 candidate genes whose expression were related with WUE in our previous study [32]. To find out and reveal the potential contribution of lncRNAs to WUE, we analyzed co-expression of lncRNAs and mRNAs using Spearman correlation coefficient for each candidate gene of WUE, and constructed the WUE-lncRNA-mRNA co-expression network (WUE-LMN). As a result, this co-expression network contained a total of 48 candidate genes, 3371 unique lncRNAs and 4277 edges (Additional file 8). The degree of the candidate genes ranged from 23 to 215, indicating that each of these genes associated with adaptation was regulated by complex network involving multiple lncRNAs. We further filtered the co-expression network with more than five nodes for lncRNAs (Fig. 6a). Nine lncRNAs and 17 candidate genes for WUE were remained. And the remained 17 candidate genes for WUE were mainly functioned in abiotic stress responses, photosynthesis and stomatal regulation (Fig. 7b). Of the 9 lncRNAs, 4 and 5 lncRNAs were up-regulated and down-regulated between two environments,respectively (Fig. 7c). We inferred that they may represent hub genes or regulators in WUE related pathway and played an important role in responding to environmental changes.

The reliability of lncRNAs identification

Since de novo assembly is disadvantaged by its inability to account for incidents of structural alterations of mRNA transcripts, such as alternative splicing, de novo assembly of lncRNAs reference without a known genome faces even more huge difficulties due to lack of sequence conservation [2]. Here we reported population transcriptome-wide identification of lncRNAs with high reliability. We substantially improved the accuracy of the M. lutarioriparius lncRNAs assembly. First, we perform multiple assemblies with various kmer lengths, which could reach the best trade-off between the length and quantity of transcripts [44]. In addition, we used population transcriptome data to retain the best part of each one to form the final assembly [37]. The complementary effect of multiple individuals completed the transcriptome assembly in both transcript number and length [33]. Second, although lncRNAs often express in a low frequency, lncRNAs that expressed in less than 25% of individuals were filtered out. This procedure could greatly reduce the assembly errors and improve the reliability of the remained lncRNAs. Moreover, the sequences were further validated by PCR sequencing and the expression level of lncRNAs was proved by qPCR. The results suggested the sequence of lncRNAs was high-quality assembled and the expression level was accurately evaluated. Nevertheless, we would demonstrate that a small proportion of the identified lncRNAs may be not real in our data, as non-coding transcripts derived from transposable elements were not filtered out due to the lack of a sequenced genome from M. lutarioriparius. In summary, the population-wide RNA-seq assembly approach for identifying lncRNAs was proven as an efficient method and could be applied for other species.

Relaxed expression regulation of lncRNAs and more sensitive to environment compared with protein coding mRNAs

In our study, we found the expression diversity of lncRNAs were significantly higher than that of protein coding RNAs in both JH and QG, the two independent strictly controlled experiments (Fig. 3a). This result may be explained by that population of Miscanthus harbored more substantial variation in noncoding regions of the genome, including extensive genetic variation within cis-regulatory elements and transcription factor binding sites. The results also implied that lncRNAs may be loosely regulated compared with protein coding mRNAs [45]. This may be due to that lncRNAs do not directly function and a large number of lncRNAs are nonfunctional, and thus changes in most lncRNA expression exact little fitness cost [5]. Higher-level expression diversity of lncRNAs may provide the indirect evidence for that lncRNAs experienced more relax evolution or divergent selection than protein coding mRNAs.

Previous results that lncRNA expression is typically more variable between tissues [5, 46, 47], which may be an indicator that the expression diversity of lncRNAs in population could be larger than mRNAs. Based on this inference, lncRNAs may be more variable among individuals, i.e. preferential expression in some individuals, but the majority of the mRNAs were consistently expressed in all individual [5]. This hypothesis could be illustrated by the comparison of expression frequency between lncRNAs and protein coding mRNAs (Fig. 4). Expression diversity provides raw materials for adaptation, because it represents a source of variation may enrich phenotypic variation at the level influencing more closely than genetic diversity and consequent fitness under natural selection [33]. Thus the lncRNAs and protein coding mRNAs with higher expression diversity had the higher potential as a variation factor in contribution to phenotypic variation [15]. Moreover, the lncRNAs had even more higher potential to be the variation factor than compared to protein coding mRNAs due to their higher variation of expression frequency (Fig. 4).

It intuitively seems that the range and average value of expression diversity ratio of lncRNAs between JH and QG are wider and higher than that of mRNAs, respectively (Fig. 3). The widened ranges of expression levels and larger expression diversity suggest the lncRNAs are more sensitive to environmental change than mRNAs. As lncRNAs can epigenetically regulate the protein coding mRNAs by interacting with cis or trans elements [1, 17, 48], the increased expression diversity of lncRNAs might have triggered the mechanisms of enriching the expression diversity of genes in response to the environmental change [33]. Moreover, studies on adaptation in wild populations had revealed that ecologically important phenotypes changed due to the transcriptional regulation [49–51]. Thus, the increased diversity of lncRNAs may contribute to the change of ecologically important phenotypes such as WUE in our study and play an important role in improving the adaptation to new environment [43]. Thus, the lncRNAs with increased expression diversity could be the potential target contributing to adaptation.

Important roles of lncRNAs in regulation of stress response and agricultural trait

Previous studies have demonstrated that after stimulation with stress, expression level and expression diversity for some genes or transcription factors related to stress response were elevated [33, 52]. However, the expression variation for lncRNAs had been little reported after stress stimuli. Here we found that the expression level of 807 lncRNAs (4.6%) and 995 mRNAs (5.4%) altered more than two-fold (Additional files 3 and 4), which suggested the proportion of lncRNAs with high expression fold change is comparable to mRNAs. Among the lncRNAs that we identified, we found that 2086 lncRNAs (11.8%) may be related with stress condition based on the E _d ratio, which reveal that extent of expression variation between two environments [33]. In particular, 76 lncRNAs had E _d ratio of more than 5-fold changes, which exhibited strong stress-responsive expression pattern [33, 53]. Moreover, 52 lncRNAs expressed at the level of nearly 100-fold increase from JH to QG. These lncRNAs with extreme change of expression could have the potential roles in adaptation to stress [17].

A large number of genes which were highly correlated with lncRNAs were identified using mRNA-lncRNA co-expression network analysis and their GO term enrichment analysis [54, 55]. And 5 categories of genes were closely related to cellular stress response using GO term enrichment analysis (Table 2). Protein kinase domain played a role in a multitude of cellular processes, and Protein kinase pathway mediated drought and cold signaling [56]. Ring finger domain mainly involved in ubiquitination pathway and abiotic stress responses [57]. Cytochrome P450 mainly involved in biosynthetic reactions and biotic stress [58]. Functions of WD domain, G-beta repeat ranged from signal transduction and transcription regulation to cell cycle control, autophagy and apoptosis, and they may response to salt stress and nutrient stress [59–61]. These enrichment pathways could have been related with the cold and dry climates and poor soil conditions in the Loess Plateau. These results suggested that lncRNAs could have played the roles in many biological processes responding to stress through regulating gene network.

The higher WUE was likely to be one reason for the higher biomass production with much less precipitation in more stressful environment [30]. Using co-expression network analysis, we identified 3371 unique lncRNAs involving in the regulation of these candidate genes, which revealed a regulation pattern of lncRNAs in the manner of the accumulation of numerous minor lncRNAs for complex traits. Out of these lncRNAs, 9 lncRNAs regulated at least 5 candidate genes. This suggested that lncRNA has the potential to be the regulation center in the wide-range participation. Furthermore, the environmental change from JH to QG involves intricate natural condition, including soil water content, light condition, temperature etc. [30, 33]. Complex co-expression network regulation could be one of the most important molecular mechanisms underlying the adaptation to these conditional changes [9, 15, 22]. The evidence presented in this study indicates that only a small proportion of lncRNAs with large expression variation has an impact on phenotypic variation in WUE. It is reasonable to infer that much more lncRNAs may participate in the response to other conditional changes. Here we revealed the regulation pattern of lncRNAs for complex traits [43], which provided a good starting point towards understanding the role of lncRNAs in regulation of abiotic stress tolerance.

Although we identified a large number of lncRNAs related with many biological process, a limited number of lncRNAs had been speculated their functions using lncRNA-mRNA co-expression analysis. Further studies are necessary to understand the functional motifs of lncRNAs, and how specific lncRNAs seek out selective sites in the genome for lncRNA-mRNA and lncRNAs-lncRNAs interaction.

Data collection

We had collected populations of M. lutarioriparius across their distributional ranges along the Yangtze River in China in October and November 2008, and planted them in two experimental fields. One field site was in Jiangxia of Hubei Province (JH) which was near the native habitat and established by Wuhan Botanical Garden of Chinese Academy of Sciences, and the other field site was in Qingyang of Gansu Province (QG) which was near the domestic habitat and established by the Key Laboratory of Plant Resources and Beijing Botanical Garden, Institute of Botany, Chinese Academy of Sciences. QG is colder, drier, and nutrient-poorer condition than its native habitat. The voucher specimen was deposited in the Wuhan botanical garden of Chinese Academy of Sciences (HIB). We then collected the same 14 populations of M. lutarioriparius in nearly native habitat JH and target domestic site QG in 2012 [33]. The growing stage was about one month later in QG than in JH, which was consistent with the temperature patterns between the two locations [29]. Therefore, samples which were listed in Additional file 9 were collected around noon on June 12^th, 2012 in JH and on July 13^th, 2012 in QG, respectively. When these plants were at the same growth stage between the two sites, 3 individuals for each population were randomly chosen and the fourth mature leaves of these plants were sampled for RNA-seq using Hiseq 2000 [33]. Considering the quality of reads, 2 individuals whose Q20 and genes expression level deviated from that of the majority of the individuals in both sites were discarded. Thus a total of 80 individuals were used for transcriptomic analysis ultimately. The raw data had been released at NCBI’s Short Read Archive under three Bio Projects, PRJNA227191, PRJNA227195, and PRJNA226258. The transcriptome sequencing data, which was previously used in protein coding mRNAs expression analysis was proved to be a high quality of transcriptome reference [33].

Transcriptome assembly

We formed two assembly groups by randomly pooling 24 and 30 individuals from the 80 sampled individuals of M. lutarioriparius. De novo assembling was performed on SOAPdenovo-Trans for each group respectively [62], the average insert size was set at 230 bp, while the mergeLevel set at 0 to force perfect match. The coverage for contigs less than 3 was eliminated. The threshold value of output number of scaffolds was set at 15. The program GapCloser was used for filling the gaps of scaffolds with the sequence overlap length set at 25.

For each of the assembly group, kmer 41, kmer 51, and kmer 61 were used during assemble and all the resulting scaffolds were pooled [44]. The pooled scaffolds were merged when possible and joined together for extending sequence using the program CAP3 [63]. The minimal overlapping length was set at 45 bp and the overlapping identities of from 94% to 99% were tested. The scaffolds obtained from SOAPdenovo-Trans and merged scaffolds obtained from CAP3 for the two assembly groups were pooled together. The ORFs of all these sequences were predicted by the EMBOSS package [64], and only sequences with ORFs smaller than 150 bp were retained.

Identification and characterization of lncRNAs

All transcripts over 200 bp were filtered from raw assembled transcriptome for coding potential evaluation using Coding Potential Calculator software (http://cpc.cbi.pku.edu.cn/programs/run_cpc.jsp) [38], a sequence-based predictor for protein coding potential of transcripts and a widely used discoverer of lncRNAs. The negatively scored transcript was considered a noncoding transcript. To discriminate lncRNAs from previously annotated miRNA, rRNA, or other small noncoding RNA transcripts, we aligned all noncoding transcripts against the Rfam database [39]. The remaining transcripts were identified and were treated as candidate lncRNAs of Miscanthus, which was used for further functional analysis. The RNA sequencing reads from the 80 individuals were aligned independently against the lncRNA candidates. To gain enough sequencing data for lncRNA assembly, we combined all aligned results for each lncRNA candidate using SAMtools [65]. The mapped reads were then assembled into transcripts using Cufflinks [66]. The assembled transcripts with sequence length less than 200 bp were filtered to remove. To obtain a good comparison between two environments, we discarded the lncRNA candidates expressed in less than 20 individuals out of the 80 individuals. Under this criterion, 17610 lncRNA candidates were remained. The GC content as well as sequence length was compared between lncRNAs and protein coding mRNAs using both t-test and Wilcoxon test.

Differential expression of lncRNAs and mRNAs

Expression level of lncRNA was estimated based on transcript abundance calculated using FPKM. FPKM value for both genes and lncRNAs was calculated using Cufflinks. Reads of each individual were mapped to the reference transcriptome or lncRNA using Bowtie, TopHat, and Cufflinks [67, 68]. Reference sequence index was created using bowtie-build, and the short reads were aligned to the reference genes and lncRNAs sequence using TopHat using default settings. In this study, we used E _d which is the abbreviation of “expression diversity” as a way to estimate the Standard Deviation. Expression level and population expression diversity were calculated based on the formula \( {E}_{\mathrm{p}}=\frac{{\displaystyle \sum_{i=1}^n{E}_{\mathrm{i}}}}{n} \) and \( {E}_{\mathrm{d}}=\frac{{\displaystyle \sum_{i=1}^n\left|{E}_{\mathrm{i}}-{E}_{\mathrm{p}}\right|}}{\left( n-1\right){E}_{\mathrm{p}}} \), here E _i represents the FPKM of a given gene or lncRNA of the ith individual in the population, n represents the number of individuals, and E _p represents the expression level of a given gene or given lncRNA [33]. E _p ratio and E _d ratio, which represents the fold change of E _p and E _d from JH to QG respectively, and E _d were compared between lncRNAs and protein coding mRNAs as well as between environments using both t test and Wilcoxon test. In order to more accurately detect candidate genes responding to new environmental stress, we used both significant test and a fold change ranking [69, 70]. The differentially expressed genes between the two sites were identified using the parametric t-test (normal bimodal distribution) or the non-parametric Wilcoxon-test (non-normal unimodal distribution). And gene expression change of lncRNA with FDRs less than 0.01 and larger than two-fold change was considered to be statistically significant.

Construction of the lncRNA-mRNA co-expression network

LncRNA-mRNA co-expression network was constructed following a method similar to previous study [9]. First of all, the expression values of the lncRNAs and mRNAs were obtained. Then, Spearman correlation coefficient was calculated between the expression values of each of the lncRNA-mRNA pairs across the near native samples JH and the transplanted site samples QG, respectively. The data were preprocessed without special treatment of the lncRNAs or mRNAs expression value. A P-value of less than 0.05 was considered statistically significant. The lncRNA-mRNA pairs whose Spearman correlation coefficients was larger than 0.7 in one environment (native environment JH or transplanted site QG), but smaller than 0.5 in the other environment were selected, as these parameters indicated that the lncRNA-mRNA pairs were differentially co-expressed between the two distinct environments [9]. Finally, the network was constructed, in which nodes were lncRNAs or mRNAs. A total of 241 lncRNAs and mRNAs containing 334 relationships were visualized using Cytoscape [71]. The top 20 mRNA nodes which were those with the highest degree were shown. Two sub-networks containing 32 lncRNAs and mRNAs and 56 relationships with most lncRNA-mRNA interactions were presented in detail. Circle nodes represent lncRNAs and square nodes represent mRNAs.

Construction of water use efficiency (WUE) related differential lncRNA-mRNA co-expression network

By re-analyzing transcriptome expression level associated with water use efficiency (WUE), a WUE related differential lncRNA-mRNA co-expression network (WUE-LMN) was constructed in the current study. First of all, we conducted a matrix correlation between water use efficiency (WUE) and expression level of protein coding mRNAs. Before that, the genes with FPKM of the median value of 0 were dropped out, and 15,495 mRNAs were ultimately used for the further analysis. For each gene, the FPKM value of each individual in QG divided by the FPKM value in JH with all combinations, and then a matrix were obtained. The same process was also performed for water use efficiency (WUE). Following, we performed mantel test between the water use efficiency (WUE) matrix and FPKM matrix using Spearman’s rank correlation method. Furthermore, a Spearman’s rank correlation coefficient was calculated for each gene using a 10,000 permutation test to assess the statistical significance. The detail method was descripted in our previous work [32]. Using this method, 48 genes were identified at the P < 0.01 level as candidates genes for WUE alteration in the changing environment under stress [32]. The co-expression of lncRNAs and mRNAs as well as WUE was also visualized using Cytoscape [71]. The Pfam database was used to analyze the potential functions of lncRNAs based on their co-expressed genes.

Validation of sequence assembly and gene expression from RNA-Seq

In order to validate the sequence quality of this assembly, eight randomly selected lncRNAs were sequenced by PCR sequencing method. RNA sample from one of these individuals was used and reverse-transcribed into the first strand cDNAs for the PCR template. The primers were listed in Additional file 10. All the PCR products were obtained from the same sample. The clear PCR results were blasted against the assembly sequence from RNA-seq using BLASTN. RNA samples from the 18 individuals which passed the quality control were used and reverse-transcribed into the first strand cDNAs for the qPCR quantification. Eight lncRNAs were examined for the relative quantitation of expression level in populations. The qPCR was performed using SYBR Premix Ex Taq (Takara) on ABI7500 (Applied Biosystems). The primers were listed in Additional file 11. According to previous method [32, 40–42], we performed three technical replicates for each template to calculate the average CT value, which were used to evaluate the relative expression level of lncRNAs. Relative expression levels of target lncRNAs among the individuals were determined using the 2 ^–ΔΔCt method to calculate the relative quantitation of expression levels with the normalization gene Actin as the endogenous control (The accession number was AT3G53750 from TAIR of the Arabidopsis homologue) [42]. The correlation of lncRNA expression estimated by qPCR and RNA-Seq were analyzed using Spearman test with R (Version 3.3.0).