Association analysis of photoperiodic flowering time genes in west and central African sorghum [Sorghum bicolor (L.) Moench]

Abstract

Background

Photoperiod-sensitive flowering is a key adaptive trait for sorghum (Sorghum bicolor) in West and Central Africa. In this study we performed an association analysis to investigate the effect of polymorphisms within the genes putatively related to variation in flowering time on photoperiod-sensitive flowering in sorghum. For this purpose a genetically characterized panel of 219 sorghum accessions from West and Central Africa was evaluated for their photoperiod response index (PRI) based on two sowing dates under field conditions.

Results

Sorghum accessions used in our study were genotyped for single nucleotide polymorphisms (SNPs) in six genes putatively involved in the photoperiodic control of flowering time. Applying a mixed model approach and previously-determined population structure parameters to these candidate genes, we found significant associations between several SNPs with PRI for the genes CRYPTOCHROME 1 (CRY1-b1) and GIGANTEA (GI).

Conclusions

The negative values of Tajima's D, found for the genes of our study, suggested that purifying selection has acted on genes involved in photoperiodic control of flowering time in sorghum. The SNP markers of our study that showed significant associations with PRI can be used to create functional markers to serve as important tools for marker-assisted selection of photoperiod-sensitive cultivars in sorghum.

Background

Sorghum [Sorghum bicolor (L.) Moench] is a major staple crop and source of income for millions of people in Western and Central Africa (WCA). The success of sorghum production is determined to a considerable extent by the appropriateness of the flowering time for the specific production environment. The highly variable sowing dates, due in part to erratic onset of the rainy season, present an important challenge since grain maturity needs to occur at a more fixed calendar date to coincide with the end of the rainy period for successful grain filling and pest avoidance [1]. Thus, photoperiod-sensitive flowering responses of sorghum in WCA enhance adaptation by enabling more fixed maturity dates despite variable sowing dates [2-4].

The transition of plant growth from vegetative to generative stage is the primary determinant of flowering time in crops of determinant growth type such as sorghum. The degree to which varieties can adjust this onset of panicle initiation with differing sowing dates, and photoperiod conditions, is called photoperiodic flowering response [5]. Photoperiod sensitivity triggers panicle initiation in short-day (SD) plants such as sorghum when they sense an appropriate decrease in day length [6].

The molecular basis of flowering time has been extensively studied in Arabidopsis thaliana where mutant plants with an altered flowering phenotype were analyzed for their flowering behavior under laboratory conditions. As a result, four important pathways regulating floral induction have been identified: the photoperiod (long-day (LD) promotion) pathway, gibberellic-acid promotion pathway, vernalization pathway, and autonomous pathway [7-9]. A basic understanding of the molecular complexity of flowering time in important agronomic species with large genomes such as maize (Zea mays L.), wheat (Triticum aestivum L.), barley (Hordeum vulgare L.), and pearl millet (Pennisetum glaucum (L.) R. Br.) has been facilitated by comparative use of floral pathways from A. thaliana (for review see, [9-11]). Flowering time genes and sequences can be used by breeders for the development of molecular markers or for targeted genetic modification of flowering time.

Current knowledge on genetics of photoperiod-sensitive flowering

Since Bünning [12] first proposed that the photoperiodic time-keeping mechanism is associated with the circadian clock, there has been a considerable amount of research on the photoperiod pathway. The basis of day-length measurement is the interaction of an external light signal with the circadian rhythm [6]. In the photoperiod-sensitive flowering process (Figure 1), light signals are perceived by photoreceptors involved in the resetting of the circadian clock, with the result that plants respond to the light and dark cycles [13]. Genes such as CIRCADIAN CLOCK ASSOCIATED1 (CCA1), LATE ELONGATED HYPOCOTYL (LHY), and TIMING OF CAB EXPRESSION1 (TOC1) are the core components of the central oscillator of the circadian system. The oscillator determines the phase of CONSTANS (CO) transcription [14]. CO is an important gene that links the circadian clock to flowering [15], and it induces the transcription of FLOWERING LOCUS T (FT) to promote flowering [11,16]. Recent research has shown that the FT protein in Arabidopsis and corresponding proteins in other plants are an important part of the florigen [17,18], which is a leaf-generated mobile flowering signal initiating floral morphogenesis at the shoot apex [17,19].

Figure 1.

A simplified model of flowering mediation by photoperiod in Arabidopsis (modified from Izawa et al. [9]).

Status of research on flowering time genes in sorghum

A series of six maturity genes have been recognized to affect flowering time and photoperiodic flowering response in sorghum: Ma₁, Ma₂, Ma₃, Ma₄, Ma₅, and Ma₆ [20,21]. The first four maturity genes inhibit flowering under LD conditions but allow early flowering under short day conditions. Of these first four genes, Ma₁ causes the greatest sensitivity to LD conditions. In contrast, Ma₂, Ma₃, and Ma₄ generally have more modest effects on sensitivity to LD conditions [20]. Kouressy et al. [22] showed that photoperiod sensitivity was affected by dominant alleles of one major gene, equivalent to the Ma₅ or Ma₆ maturity loci identified by Aydin et al. [23]. Several other studies report on sorghum photoperiodic flowering [24-26]. These studies highlighted the role of phytochromes as an important gene family. Childs et al. [27] demonstrated that the Ma₃ gene is synonymous to PHYB and sequenced other phytochromes such as PHYA and PHYC. It is interesting that mutations in sorghum Ma₃ and A. thaliana PHYB both reduce sensitivity to non-inductive day-lengths [28,29]. Recently, positional cloning identified Ma1 as a putative pseudoresponse regulator protein 37 (PRR37), which acts as inhibitor of CO and floral activator genes [30]. Bhattramakki et al. [31] reported that primers for SSR marker Xtxp320 are derived from the PHYB sequence, but this sequence variation was not detected by White et al. [32] in studies of the PHYB sequence from several diverse sorghum accessions. There are indications that the Xtxp320 (PHYB) primer pair detects more than one locus as there are reports of Xtxp320 mapping to SBI-01 (where PHYA, PHYB and PHYC are located) and/or SBI-10 (e.g., [33]). However, to our knowledge, there has not been a study analyzing systematically the effect of candidate genes (CGs) from the photoperiod sensitivity pathway on photoperiodic flowering response in sorghum.

Advanced plant breeding techniques such as MAS have the potential to accelerate the selection process substantially [34,35]. Functional markers are the state-of-the-art molecular tools that minimize the risk of recombination between marker and QTL alleles [36]. Association studies based on linkage disequilibrium offer a new possibility to identify marker-trait associations (cf. [37]).

In this study we examined a panel of sorghum accessions from West Africa established expressly to represent the range of photoperiodic response. The objectives of our study were to (i) characterize the photoperiodic flowering response of these sorghum accessions under field conditions, and (ii) investigate the association between variation for photoperiodic sensitivity for flowering time and polymorphisms in six partially amplified genes putatively related to variation in flowering time in sorghum [CRYPTOCHROME 1 (CRY1; Sb04g023680), CRYPTOCHROME 2 (CRY2; Sb06g018510), LATE ELONGATED HYPOCOTYL (LHY; Sb04g031590), GIGANTEA (GI; Sb03g003650), HEADING DATE 6 (HD6; Sb02g001110), and Dwarf8 (SbD8; Sb01g010660)].

Results

Phenotypic evaluation

Analysis of the field data on flowering time showed that sorghum accessions of our study exhibited a wide range of photoperiodic response. The days to 50% flowering (DFL50%) of sorghum accessions sown on 10 June ranged from 47 to 141, and those sown on 10 July from 44 to 117 days, respectively (Table 1). The PRI for the accessions ranged from -7 to 37 (see additional file 1). From the phenotypic data it was observed that when sown late (on 10 July) the accessions of sorghum generally showed a reduction of growth cycle compared to when sown earlier (on 10 June). The mean DFL50% values of the two sowing dates were significantly different (p < 0.01). For both sowings dates, early-maturing accessions were generally less sensitive to photoperiod (i.e. had lower PRI values), than the late-maturing accessions (which had higher PRI values). The mean plant height of the accessions in the June sowing was significantly (p < 0.001) greater than their mean plant height in the July sowing.

Table 1.

Days to 50% flowering (DFL50%) and plant height (cm) of sorghum accessions for two sowing dates

	Sowing 1 (June 10)			Sowing 2 (July 10)
Trait	Range	Mean	SE	Range	Mean	SE	t
DFL50%	47-141	99.84	1.05	44-117	79.00	0.76	40.23**
Plant height	132-590	417.74	5.20	112-550	362.86	4.91	8.51***

**, *** Genetic differences among accessions significant at P < 0.01 and < 0.001, respectively

Co-localization of the genes on sorghum genome sequence

Gene sequences of the CGs studied were BLAST-searched against the aligned sorghum genome sequence (Paterson et al. [38]) to identify the physical locations of these genes. BLAST search identified that the CRY1-b1 gene has its best possible hit on sorghum chromosome 4 at 53.35 Mb (similar to Sb04g023680), GI gene has a unique location on sorghum chromosome 3 at 3.88 Mb (similar to Sb03g003650), CRY2-2 gene has a location on sorghum chromosome 6 at 48.11 Mb (similar to Sb06g018510), LHY gene is located on sorghum chromosome 4 at 61.55 Mb (similar to Sb04g031590), HD6 gene has its best possible hit on sorghum chromosome 2 at 0.98 Mb (similar to Sb02g001110), and SbD8 gene has its best possible hit on sorghum chromosome 1at 9.42 Mb (similar to Sb01g010660).

To validate whether these genomic regions have any association with flowering genes like CRY1b and GI, gene sequences for CRY1b and GI from different cereals and other model crop species [CRY1b sequences from Oryza sativa (OsAB073547), T. aestivum (TaEF601537), H. vulgare (HvDQ201153), A. thaliana (AtGQ177026), and GI sequences from O. sativa (OsAJ133787), T. aestivum (TaAF543844), H. vulgare (HvAY740524), A. thaliana (AtAF105064)] were BLAST searched against the aligned sorghum genome. For each gene, only the best hit could be considered for budget reasons. For the six CGs, an overview of their BLAST scores, E-values with sorghum, and percentage similarity with their respective homologs in Arabidopsis and rice obtained by direct nucleotide sequence comparisons is given in Table 2.

Table 2.

Sorghum candidate genes studied, their predicted and amplified sizes in base pairs,% of gene targeted, BLAST scores and E values with sorghum, their percentage similarities with homologous loci in Arabidopsis thaliana (At) and rice (Os) obtained by direct nucleotide sequence comparisons

Gene	Predicted size (bp)	Fragment size (bp)	% of gene targeted	BLAST score sorghum	E value	Similarity Arabidopsis %	Homologous At locus	Similarity rice %	Homologous Os locus
CRY1-b1	3954	726	18	1236.4	0	38	NM_116961	50	AB073546
CRY2-2	3971	657	17	1160.9	0	57	AY05744	53	AJ298877
SbD8	2653	531	27	910.0	0	56	NM_105306	82	AB262980
Hd6	6454	807	13	425.1	6.2e-117	46	ATHCK2B	52	AB036788
GI	8589	960	11	1703.1	0	57	NM_102124	83	AJ133787
LHY-4	2110	706	25	1322.0	0	37	NM_001197953	65	NM_001067567

Candidate gene sequence diversity

Sequences obtained from primers designed in this study (Table 3) were the desired fragments of the targeted gene (see additional file 2). This was confirmed by the high BLAST scores obtained when all fragments were searched against the sorghum genome sequence database (Phytozome) using the BLAST tool. For the CGs, 35% of the total sequenced region (4386 bp) was coding and 65% was non-coding. The number of polymorphic sites was highest for GI and lowest for CRY2-2 (Table 4). Considering all six genes in this study, the average number of polymorphic sites (S) was 12.5, the average nucleotide diversity (π) was 0.005, and Tajima's D value was negative for all genes and was highly significant for genes CRY2-2, HD6, and GI.

Table 3.

Sorghum candidate genes studied, their primer sequences, and primer melting temperatures (T_m)

Candidate genes	Tm	Forward primer sequences (5'→3') Reverse primer sequences (5'→3')
CRY1-b1	58°C 60°C	ACAACCCAGACTCGCATAG GAGGGATCGAACCGTAGAG
CRY2-2	54°C 56°C	ACCTTGTTTCTCCGTTCC CTTCTTGCAGTCTGGCTTT
LHY-4	52°C 48°C	CCCTTGACATTGACATAC CATTGATTCCCACTTGA
HD6	58°C 64°C	GATTACTGCCATTCACAAGG GAAGCTCAGGWCCCTTGAAGTA
GI	58°C 58°C	TCCGCTTCAGCCACCTAC CTGCCAGAGCAATGAGACAA
SbD8	60°C 54°C	GACGACAAGGATGAGGAGC CGAGGTGGCGATGAGC

Table 4.

Sequence diversity of genes CRY1-b1, CRY2-2, SbD8, HD6, GI, and LHY-4 in sorghum

Gene	Fragment size (bp)	Predicted gene size (bp)	% gene targeted	S	π	Tajima's D
CRY1-b1	726	3954	18	15	0.002	-1.50
CRY2-2	657	3971	17	2	0.001	-2.67**
SbD8	528	2653	20	4	0.002	-1.27
HD6	804	6454	13	6	0.011	-2.62***
GI	960	8589	11	42	0.001	-2.72***
LHY-4	706	2110	34	6	0.012	-1.75

For each gene, the total predicted size and the size of amplified fragment, S number of polymorphic sites, π the pairwise nucleotide diversity and Tajima's D value are reported; **, *** significant at P < 0.01 and < 0.001, respectively

Linkage disequilibrium analyses

A linkage disequilibrium analysis was performed for six CGs under study. The average r² values for the CGs were, CRY1-b1 = 0.21, CRY2-2 = 0.13, LHY-4 = 0.074, HD6 = 0.31, GI = 0.17, and SbD8 = 0.024. In the case of the CRY1-b1 gene, two strong linkage disequilibrium blocks were detected at the 5' UTR (untranslated region) and at the 3' end of the sequence (coding region). The linkage disequilibrium matrix plots for the CGs studied are shown in Figure 2 and additional file 3.

Figure 2.

Strength and extent of linkage disequilibrium for genes CRY1-b1, and GI. Each point in the linkage disequilibrium matrix represents a comparison between a pair of polymorphic sites, with the r² values displayed above the diagonal, and P values for Fisher's exact test below.

Association analyses with candidate genes

Association analyses were performed for all polymorphic sites in all six genes sequenced. Significant (p = 0.05) associations were found between PRI and several polymorphic sites within CGs CRY1-b1 and GI (Table 5 and additional file 4). The SNP722 in CRY1-b1 (change of nucleotide base from T to A) and SNP888 in GI (change of nucleotide base from T to C) showed effects on PRI of -4.2 and +8 days, respectively. A negative effect on PRI means that the difference in flowering time between the June and July sowing dates was reduced (i.e., photoperiod sensitivity is reduced), whereas a positive effect on PRI indicates that the difference in flowering time was increased (i.e., photoperiod sensitivity is increased).

Table 5.

Significant (P < 0.05) marker-phenotype associations for genes CRY1-b1 and GI in sorghum

Gene	Polymorphism	Change of allele state	Type of change	AE (days)	SE (AE)	P
CRY1-b1	SNP722	T_A	aa	-4.20	1.51	0.006
GI	SNP888	T_C	aa	+7.98	2.90	0.008
GI	indel904	0_1	fs	+7.25	2.64	0.008
GI	SNP909	C_G	aa	+7.38	2.07	0.001

Note: For change of allele state, 0 denotes the absence and 1 denotes the presence of an indel.

Type of change caused by polymorphism as aa: amino acid substitution or fs: frame-shift mutation, AE: allele effect, SE: standard error of the allelic effect, P: P-value of allelic effect

Discussion

Photoperiod sensitivity

The variability for photoperiod sensitivity observed in this panel of sorghum accessions was very large, ranging from highly insensitive varieties (no change in vegetative period) to highly sensitive (with a 37-day reduction in vegetative cycle induced by the 30-day delay in sowing: from 10 June to 10 July). The accessions that matured earlier in both sowings were mostly the least photoperiod-sensitive ones (having lower PRI values, see additional file 1). Earlier-flowering accessions made the transition from vegetative growth to generative growth before the day-length reached the critical photoperiods required to induce flowering in the later-flowering photoperiod-sensitive accessions. For accessions flowering comparatively late in the June planting, the critical photoperiod significantly reduced flowering time when they were sown under decreasing day-length conditions in July. This was clearly demonstrated by significantly lower mean DFL50% of the July sowing compared to the mean DFL50% of June sowing in these late, photoperiod-sensitive accessions. This reduction in mean DFL50% comes with its consequence, as the mean plant height of the accessions in the July sowing was significantly lower than their mean plant height in the June sowing. Similar observations on reduction in vegetative growth resulting from decreasing day-length conditions were made by Folliard et al. [39] on a guinea sorghum cultivar, where total number of leaves was reduced by half when it was sown at four different sowing dates. The diversity of photoperiod response of our panel of accessions made it an appropriate choice for association analysis for candidate flowering genes.

Linkage disequilibrium analyses

The linkage disequilibrium measure r² ranged from 0.024 to 0.21 for the CGs in our study. The mean r² of 0.18 was comparable to the study on sorghum [40] reporting r² > 0.1 but lower than the previous study on barley [41] which reported r² > 0.4. The variability in the range of r² estimates observed in our study can be due to the fact that linkage disequilibrium estimates vary according to the target genomic region as well as number of polymorphic sites [42,43]. Furthermore, because of limited coverage (small fragment size) of the CGs studied, it seems inappropriate to describe the decay of linkage disequilibrium along each CG. Full length sequencing of the studied and additional important photoperiod CGs will be necessary to describe patterns of linkage disequilibrium in the sorghum flowering time gene network.

Population structure and association analysis

The CGs chosen for this study were selected on the basis of comparative genomic studies on photoperiodic flowering time genes in A. thaliana and rice [44-46]. From these studies it was evident that the respective genes have a high degree of similarity in structure and function between the latter two species.

Using software STRUCTURE to infer population structure, and employing Evanno's method to estimate the number of subgroups, our sorghum germplasm panel could be divided into two subgroups [47]. Race as well as the geographical origin of the accessions, played a role in the population structure of these sorghum accessions. We used a mixed-model method for association analysis that takes into account population structure as well as kinship information. This model has proven to yield better results in association studies compared to models ignoring these factors [48,49]. The marker-phenotype association analysis was carried out using values of PRI for each accession. The field experiments were conducted in one year (2007) and at one location. Significant genotype × year interactions for measures of photoperiod-sensitive flowering response might occur in multi-location trials over years; however, the sorghum accessions of our study have been observed previously for their photoperiodic behavior over years and therefore some background information on their photoperiod response was known.

Out of the six genes analyzed, we detected in fragments of genes CRY1-b1 and GI several polymorphic sites that were significantly (p < 0.05) associated with PRI variation in our sorghum panel. The first two candidate genes considered in our study were CRY1-b1 and CRY2-2. In plants, cryptochromes and phototropins [50] are the two types of blue light/UV-A receptors important for plant photomorphogenesis. In A. thaliana, CRY1 mainly functions in de-etiolation [51], while CRY2 plays a role in the regulation of photoperiodic flowering [52]. Hirose et al. [53] showed that over-expression of OsCRY1 in rice resulted in enhanced responsiveness to blue light, suggesting that OsCRY1 is a regulator of photomorphogenesis, similar to AtCRY1. Like AtCRY2, OsCRY2 is also involved in the promotion of flowering time in rice [53]. But it was also shown that sub-cellular localization of AtCRY2 does not change in response to blue light [54]. In our analysis, we did not find any significant associations of the CRY2-2 gene with PRI but several polymorphisms in the CRY1-b1 gene were significantly associated with PRI, where the most important polymorphisms showed an effect on PRI value of up to -4.2 days (Table 5).

The CRY1 gene sequence in sorghum (SbCRY1) has three important domains namely i) DNA photolyase - binding a light harvesting cofactor [54], ii) FAD (flavin adenine dinucleotide) binding domain of the DNA photolyase - involved in energy harness of blue light [55], and iii) blue/ultraviolet-sensing protein C terminal - this domain is found in association with two previous domains in eukaryotes [56]. Our BLAST results showed that the CRY1-b1 gene fragment that we analyzed was located between the first domain (DNA photolyase) and the beginning of second domain (FAD domain) of the SbCRY1 gene. The SNP at position 722 in CRY1-b1 was therefore located in the domain of the DNA photolyase located at the N-terminal domain of SbCRY1. In A. thaliana, it was shown that the N-terminal domain of the CRY1 gene was essential for blue light reception [57]. This domain catalyzes the repair of photo-damage to the light-harvesting apparatus resulting from ultraviolet irradiation. Photolyases and cryptochromes are related flavoproteins that bind FAD. Photolyases harness the energy of blue light and cryptochromes (CRY1 and CRY2) mediate blue light-induced gene expression [58]. Therefore the effect of the SNP at position 722 at the N-terminal in our SbCRY1-b1 sequence suggested that the change in nucleotide base from T to A (Table 5) might play an important role in blue light reception in sorghum. This observation can be supported by the fact that in wheat the N-terminal domain of TaCRY1 contains a sequence signal important for its nuclear export. Therefore, a detailed analysis of SbCRY1 comparing its N-terminal domain with its C-terminal domain might reveal their exact roles in photomorphogenesis.

In addition to CRY1-b1, we found several polymorphic sites in the sorghum GI gene homolog to be significantly associated with PRI, with the largest effect on PRI of about 8 days (Table 5). Hayama et al. ([59,60]) reported that in rice, rather than promoting flowering, OsGI expression results in the suppression of flowering under LD. It has been proposed that genetic mechanisms of photoperiodic control in rice are similar to those in A. thaliana, but vary in downstream signaling of GI, at the regulation of FT. In LD conditions, CO promotes flowering through FT activation in A. thaliana and conversely represses FT and flowering in rice, which is a SD plant [60]. Similar to the observations in rice [59,60], the positive allele effect on PRI observed in this study (Table 5) indicates that SbGI enhances photoperiodic response to SD conditions in sorghum, i.e., SbGI shortens the time to sorghum flowering in the later July sowing which is more exposed to SD conditions, while in the June sowing (initially more exposed to LD conditions), SbGI delays sorghum flowering. Therefore, detailed investigation by comparison of accessions grown under SD and LD conditions would be necessary to determine the exact mode of action of the GI gene homolog in sorghum. Tajima's D values for the gene fragments sequenced in our study were negative (Table 4) with three genes (CRY2-2, HD6, and GI) having significantly negative values. Possible reasons for negative Tajima's D values (obvious through large numbers of low frequency variants) may be, firstly, that the sorghum accessions of our study originated from different geographical regions and had little common history. Secondly, it has been suggested that population structure existing among the ancestral populations as a result of multiple domestications and introgressions from wild relatives could give rise to negative Tajima's D values (see [61]). Thirdly, the negative Tajima's D values might indicate that the gene fragments used in our study may have been subjected to adaptive selection as variation in flowering time may confer adaptive advantages in sorghum (see [62]).

Conclusions

When looking at the flowering time gene network as a whole, purifying selection is found in both coding and non-coding DNA regions [63,64]. The sorghum sequence dataset of our study is in agreement with this observation. Certainly, conclusions can be drawn from Tajima's D estimates found in our study about natural selection affecting the studied sorghum genomic regions. However, in our study the number of genes as well as the size of the each CG fragment studied was small for effectively capturing the signature of selection on photoperiodic flowering time genes. It will be necessary to characterize the entire flowering time gene network in sorghum to know how selection has shaped the photoperiod pathway of flowering time and thus helped sorghum to adapt to climatic zones with different day-length conditions.

To utilize the SNPs identified to be significantly associated with PRI in our study, molecular markers could be designed based on coinciding endonuclease restriction sites which in turn could be used to create cleaved amplified polymorphic sequence (CAPS) markers [65]. Furthermore, functional markers could be created directly from the significant SNPs. These markers can thus serve as powerful tools for MAS in sorghum to identify accessions or segregants having specific sensitivities to photoperiod.

Methods

Plant material and phenotypic evaluation

Our study was based on 219 inbred accessions of sorghum mainly of the Guinea race (additional file 1), which were grown at the International Crops Research Institute for the Semi-Arid Tropics (ICRISAT) research station at Samanko, Mali in 2007 [47]. The entire panel of accessions was shown on two dates (10^th June and 10^th of July, respectively) flanking the summer solstice, with two replications each. DFL50% was recorded for each plot as the date when 50% of the plants had at least half of the panicle in anthesis (Table 1). Plant heights of the accessions were measured for both sowings dates. The photoperiod response index (PRI) for each accession was considered as the number of days difference in mean DFL50% between the 1^st sowing and 2^nd sowing and was calculated using following formula:

$$\mathsf{\text{PRI}}=\mathsf{\text{DFL50}}{\mathsf{\text{\% }}}_1-\mathsf{\text{DFL50}}{\mathsf{\text{\% }}}_2$$

where DFL50%₁ and DFL50%₂ are the mean days to 50% flowering observed for the first sowing date and second sowing date, respectively, with all DFL50% values expressed in days after sowing. Values close to zero indicate non-photoperiod-sensitive flowering (stable vegetative period); values close to 30 (the difference between the first and second sowing dates) or even higher indicate high sensitivity to photoperiod (sharp shortening of the vegetative period with the later sowing date, and its associated shorter photoperiods).

Candidate gene sequencing

Primers were designed for the desired regions in CGs CRY1 (fragment designation: CRY1-b1), CRY2 (fragment designation: CRY2-2), LHY (fragment designation: LHY-4), GI, HD6, and SbD8 [66] based on sequences published in public databases (NCBI and Phytozome) using Primer Premier Software (Premier Biosoft International, Palo Alto, CA, USA). The amplified regions of the CGs were selected on the basis of best possible primer combinations (with minimum secondary structures such as primer dimers and hairpins) and with optimum product size. Primer sequences and their respective melting temperatures are given in Table 3. Besides these six CGs, primers were also designed for partial amplification of other potentially important photoperiod genes such as Phytochrome A, B and C. Because of the lack of polymorphisms within the amplified fragments, these genes were not considered for further analysis. PCR reactions were performed and PCR products were sequenced by QIAGEN (Hilden, Germany). The gene fragments were sequenced by an easy read sequencing service using ABI BigDye Terminator 3.1 chemistry on a capillary automatic sequencing device (3730xl ABI 96; Applied Biosystems/Applera, Darmstadt, Germany). In our study, the best sequencing results by the easy read sequencing service were obtained for the fragment sizes ± 800 base pairs. Therefore, the CGs included in our study were partially amplified to fit in this range. The sequences obtained were manually checked for allele calling errors and edited manually by using software Chromas [67]. The gained nucleotide sequence data were deposited in the NCBI GenBank under the following accession numbers: CRYPTOCHROME 1 (CRY1; Sb04g023680; [NCBI GenBank accession number: JQ350839]), CRYPTOCHROME 2 (CRY2; Sb06g018510; [GenBank: JQ350840]), LATE ELONGATED HYPOCOTYL (LHY; Sb04g031590; [GenBank: JQ350844]), GIGANTEA (GI; Sb03g003650;[GenBank: JQ350842]), HEADING DATE 6 (HD6; Sb02g001110; [GenBank: JQ350843]), and Dwarf8 (SbD8; Sb01g010660; [GenBank: JQ350841]).

For further analysis of the sequenced genes, multiple alignments of the sequences were done by using software program ClustalW2 [68]. For CGs, the number of polymorphic sites (S), pairwise nucleotide diversity (π), and Tajima's D [69] values, were computed using DnaSP [70]. For the CGs, the linkage disequilibrium matrix plots (Figure 2 and additional file 2) of r² (squared correlation coefficient) values against the pair-wise physical distance between polymorphic sites were obtained with software TASSEL [71].

Association analyses

The population structure of the diversity panel was previously determined by the software STRUCTURE (Bhosale et al. [47]) and its Q matrix employed herein for association analysis. This was done by setting the number of subgroups from 1 to 20 with five runs, allowing for the admixture, correlated allele frequencies and no recombination information. For each run of STRUCTURE, the burn-in time as well as the iteration number for the Markov chain Monte Carlo algorithm was set to 100,000.

The QK method described by Yu et al. [48] was used for detection of marker-phenotype associations:

$$M_{ip}=\mu +\sum Q_{iu}{v}_u+a_p+\overline{g_i}+e_{ip}$$

where M_ip is the adjusted entry mean of the i^th sorghum inbred carrying the p^th allele, μ is an intercept term, v_u the effect of the u^th column of the population structure matrix Q, a_p the effect of allele p, g_i the genetic effect of the i^th sorghum inbred in addition to a_p, and e_ip is the residual [49]. The variances of the random effects g = {g₁, ... g₂₁₉} and e = {e_{1, 1},..., e_{209, 2}} were assumed to be $\mathsf{\text{var}}\left(g\right)=2\mathsf{\text{K}}{\sigma }_{\overline{g}}^{\mathsf{\text{2}}}$ and $\mathsf{\text{var}}\left(e\right)=\mathsf{\text{I}}{\sigma }_r^{\mathsf{\text{2}}}$, where K was a 219 × 219 matrix of kinship coefficients that define the degree of genetic covariance between all pairs of entries and was calculated using SPAGeDi [72]. Estimates of${\sigma }_{\overline{g}}^{\mathsf{\text{2}}}$, the genetic variance and${\sigma }_r^{\mathsf{\text{2}}}$, the residual variance, were obtained by REML. All mixed-model calculations were performed with ASReml release 2.0 [73].

List of abbreviations

PRI: Photoperiod response index; SNPs: Single nucleotide polymorphisms; CRY1-b1: CRYPTOCHROME 1; GI: GIGANTEA; WCA: Western and Central Africa; SD: Short-day; LD: Long-day; CCA1: CIRCADIAN CLOCK ASSOCIATED1; LHY: LATE ELONGATED HYPOCOTYL; TOC1: TIMING OF CAB EXPRESSION1; CO: CONSTANS; FT: FLOWERING LOCUS T; CGs: Candidate genes; HD6: HEADING DATE 6; SbD8: Dwarf8; DFL50%: Days to 50% flowering; UTR: Untranslated region; FAD: Flavin adenine dinucleotide; CAPS: Cleaved amplified polymorphic sequence; ICRISAT: International Crops Research Institute for the Semi-Arid Tropics.

Competing interests

The authors of the manuscript entitled 'Association analysis of photoperiodic flowering time genes in west and central African sorghum [sorghum bicolor (L.) Moench]', declare that they have no competing interests.

Authors' contributions

HKP, BIGH designed and HKP and AEM supervised the research; FR and EW conducted the field trials, SUB conducted the molecular work and BS and SUB analyzed the data. PR, CTH, AP and HC identified locations of CGs in the sorghum genome and extensively revised the manuscript. SUB, HKP, BS, BIGH, PR, CTH and FR wrote the manuscript. All authors except HKP read and approved the final manuscript.

Supplementary Material

Additional file 1

List of sorghum accessions, days to 50% flowering (DFL50%) for June and July sowings, their photoperiod response indices (PRIs), races and countries of origin.

Additional file 2

Amplified fragments of sorghum candidate genes blasted against sorghum genome database.

Additional file 3

Strength and extent of linkage disequilibrium for genes CRY2-2, SbD8, HD6, and LHY4. Each point in the linkage disequilibrium matrix represents a comparison between a pair of polymorphic sites, with the r² values displayed above the diagonal, and P values for Fisher's exact test below.

Additional file 4

Association of genes CRY1-b1, CRY2-2, SbD8, GI, HD6, and LHY4 with photoperiod response index (PRI) in sorghum.

Acknowledgements

This research was funded by the Federal Ministry for Economic Cooperation and Development, Germany (ICRISAT/GTZ Project No. 05.7860.9-001.00), with additional support from the United Sorghum Checkoff Program (USA, to A.H.P.) and the CGIAR Generation Challenge Program (to AHP and CTH). The authors sincerely thank the team at ICRISAT-Mali for successfully conducting the sorghum field trial and for the data collection, and the laboratory staff at University of Hohenheim for their continuous assistance during the entire molecular work of this project. The authors also thank Yves Vigouroux for providing HD6 primers. This paper is dedicated to the memory of Dr. Heiko K. Parzies (1959-2011) who saw through to the completion of the project.