Genetic and phenotypic variation within mapping population

Analysis of variance (ANOVA) and heritabilities in the broad sense (H²) were calculated over the combined four environments as they are good indicators of the origin of the variation within segregating mapping populations (Table 1). Results confirmed that the accumulation of isoflavones in soybean seeds is highly influenced by genetic (G), environmental (E), and G×E interaction effects (P < 0.0001). Furthermore, the high heritability values (0.76-0.92) suggested that, despite environmental influence, a high proportion of the phenotypic variation is determined by genes. In addition, because H² estimated on RILs encompasses only additive (A) and additive-by-additive (AA) epistatic genetic variances, the involved genes could be acting alone or interacting. Frequency distribution and normal-distribution parameters of isoflavone seed content between locations and years clearly indicated quantitative inheritance of these traits (Table 1, Figure 2, and Additional file 1). Although parental lines did not greatly differ in genistein, daidzein and total isoflavones in some environments, considerable transgressive segregation was found, which indicated that both parents bear positive-effect alleles for isoflavone synthesis, and ultimately suggested that an elevated number of QTL might be segregating and likely to be detected in the mapping analysis.

QTL Mapping shows that numerous minor-effect loci control isoflavone amounts

Developing RILs may be time-consuming but allows for testing the same genetic background under different conditions. Seed isoflavone content is highly affected by the environment (Table 1). Hence, it is not surprising that very distinct sets of QTL data have been reported when the same mapping populations were independently analyzed under different conditions [12, 14]. In this study, data from four different environments were used to perform an integrated analysis by a mixed linear model. A total of 2460 (205 RILs × 3 replications × 4 locations) individual observations were used to run the mapping software. Running data from different locations and individual replicates together under a unique model has been proven to be a powerful tool for discovering minor-effect QTL in complex traits because of the contribution to a reduced experimental error associated with increased observations [14, 41], and might also allow the identification of the most stable QTL over the pooled locations. As a result, ten additive main genomic regions were found to influence genistein accumulation in seeds (Table 2 and Figure 3). A major QTL was found on chromosome 5 (Gm05, following the new nomenclature for soybean chromosomes) named qGEN5, with an estimated heritability of the additive effect, h²(a), of 5.5%. Other identified important regions were in Gm02, Gm15, Gm13, Gm19 and Gm07, which were named qGEN2, qGEN15, qGEN13, qGEN19, and qGEN7, respectively. All were previously reported [14]. Importantly, two newly identified loci were found in Gm12 and Gm20, qGEN12 and qGEN20. Among them, qGEN5, qGEN2, and qGEN19, also displayed an additive by environment (A×E) interaction effect, reflecting differences in accumulation over locations (Additional file 2). We also used each environment alone as input data for the mapping software. As a result, two other regions were found to explain genistein accumulation: qGEN4 and qGEN2_2 (at BREC in 2007). For daidzein, nine different regions were exerting influence on its accumulation (Table 2 and Figure 3). Two key loci were found in Gm05 and Gm12, qDAI5 and qDAI12. Other influencing loci were mapped in Gm08, Gm04, Gm01, Gm02, and Gm16: qDAI8, qDAI4, qDAI1, qDAI2, qDAI16, respectively, and two in Gm17, qDAI7 and qDAI7_2. Apart from their additive effect, qDAI2, qDAI12, and qDAI17_2 also showed a significant A×E interaction effect. Glycitein accumulation was found to be influenced by a total of six different genomic regions (Table 3 and Figure 3). Two of them, qGLY15 and qGLY6, explained a greater percentage of the variation than any other QTL. Newly found glycitein loci were detected in Gm05, Gm06, Gm02, and Gm09 (qGLY5, qGLY6, qGLY2, and qGLY9). Reflecting the variability of this particular isoflavone over environments, five out of six loci had an A×E interaction effect. In the latter instance, total isoflavone content was mapped as the sum of the previous three, resulting in the discovery of ten genomic regions that influenced its content in seeds. The most influencing locus was again placed in Gm05 (qTOT5). This was previously reported, as well as the other five (qTOT2, qTOT15, qTOT12, qTOT19, and qTOT7). Newly discovered regions were found in Gm04 (qTOT4), Gm02 (qTOT2_2), and Gm16 (qTOT16). Another QTL (qTOT8) was detected only at BREC in 2006. Five of these QTLs also bared a component of A×E interaction effect. The total percentage of phenotypic variance accounted for additive QTLs were 24.5, 24.3, 7.7, and 25.9% for genistein, daidzein, glycitein and total isoflavones, respectively.

Namea	Interval	ICb	A ± SEc	F-valued	P-Value	h2(a)e
Genistein
qGEN5*	SATT236-SAT_271	27.4-34.4	82.1 ± 5.2	35.2	0.00000	5.5
qGEN2*	SAT_279-EACAMCTT123	0.0-6.0	54 ± 4.3	34.7	0.00000	2.0
qGEN15*	SAT_112-SATT691	8.0-11.0	58.9 ± 4.6	24.8	0.00000	2.3
qGEN13*	SATT490-SAT_197	3.4-11.0	25.3 ± 4.4	13.1	0.00000	1.3
qGEN12	SCTT009-SATT541	0.0-6.0	41.9 ± 4.3	11.9	0.00000	1.2
qGEN20	GMLPSI2-SCT_189	72.5-74.5	-32.5 ± 4.1	8.1	0.00000	0.4
qGEN19*	SAT_113-SAT_286	141.4-149.8	-47.5 ± 4.5	13.3	0.00000	1.9
qGEN7*	SATT175-EAGGMCTT095	76.1-83.1	42.9 ± 4.9	14.7	0.00000	2.3
qGEN4	SAT_337-SAT_140	6.2-17.6	-47.5 ± 7.2	19.8(17.3)	0.00000	3.3
qGEN2_2	SAT_139-SAT_289	107.6-126.2	-44.8 ± 9.0	27.2(17.3)	0.00001	5.3
Daidzein
qDAI5*	SATT174-SATT236	21.5-28.4	50.3 ± 3.2	32.8	0.00000	8.3
qDAI8*	SATT187-EAGGMCTT205	23.0-25.1	-27.9 ± 2.9	17.5	0.00000	2.2
qDAI4	SATT396-SAT_337	0.0-6.0	-27.5 ± 3.2	15.7	0.00000	1.2
qDAI1	SAT_106-AW781285	34.7-42.6	20.9 ± 3.1	14.2	0.00000	1.2
qDAI2*	SAT_279-EACAMCTT123	0.0-8.0	27.5 ± 3.2	20.4	0.00000	1.4
qDAI12*	SCTT009-SATT541	0.0-3.0	63.6 ± 3.1	25.2	0.00000	4.3
qDAI16	SAT_339-SATT280	0.0-15.0	-58.8 ± 3.9	15.5	0.00000	2.3
qDAI7*	SATT175-EAGGMCTT095	75.1-83.1	55.7 ± 3.5	13.6	0.00000	2.4
qDAI7_2	SAT_147-SAT_330	145.7-151.7	-38.5 ± 3.1	9.2	0.00000	1.0

^aName given to a particular QTL, GEN and DAI for genistein and daidzein content, respectively, followed by the chromosome number and a number when more than one in the same chromosome. Asterisks highlight QTL reported in our previous study [14]. ^bInterval of confidence in centiMorgans with respect to the first marker in the LG. ^cMain additive effect in μg/g plus/minus standard error. Mean effect of substituting both Essex alleles by PI437654 alleles. Thus, positive values indicate that the PI437654 allele increase the phenotypic value. ^dF-values of significance of each QTL. Threshold F-values were 7.4 and 7.5 for genistein and daidzein, respectively, for the 4-environmentcombined analysis. Between brackets is the threshold F-value for QTLs identified at a particular environment. P-values represent the significance of each effect. ^eh²(a) is the heritability of the additive effect or percentage of variation (%) that is explained by the additive component of the QTL.

Namea	Interval	ICb	A ± SEc	F-valued	P-Value	h2(a)e
Glycitein
qGLY5	SATT236-SAT_271	26.4-35.4	7.1 ± 1.1	18.2	0.00000	1.4
qGLY6*	SATT281-SATT291	40.0-52.7	-7.1 ± 0.9	9.2	0.00000	1.4
qGLY6_2	SATT319-EAACMCAC113	41.2-48.8	9.2 ± 0.9	8.3	0.00000	1.0
qGLY2	SAT_279-EACAMCTT123	0.0-5.0	5.9 ± 0.8	13.7	0.00000	0.9
qGLY15*	SAT_112-SATT691	8.0-11.0	10.7 ± 1	19.9	0.00000	2.1
qGLY9	SATT242-EAACMCAC227	25.1-36.3	6.4 ± 0.9	10.0	0.00000	0.9
Total
qTOT5*	SATT174-SATT236	20.5-25.4	161.7 ± 8.3	36.7	0.00000	7.0
qTOT4	SAT_337-SAT_140	3.0-9.2	-104.1 ± 7.8	9.8	0.00000	1.1
qTOT2*	SAT_279-EACAMCTT123	0.0-7.0	87.4 ± 8.1	34.7	0.00000	2.1
qTOT2_2	SAT_139-SAT_289	107.6-118.2	-63.2 ± 7.7	11.6	0.00000	1.9
qTOT15*	SAT_112-SATT691	8.0-11.0	52.9 ± 8.5	15.0	0.00000	1.7
qTOT12*	SCTT009-SATT541	0.0-4.0	95.2 ± 7.8	20.5	0.00000	3.4
qTOT16	SAT_339-SATT280	3.0-19.0	-125.8 ± 11.2	9.2	0.00000	1.3
qTOT19*	SAT_286-SATT229	144.8-159.9	-69.9 ± 8.8	14.3	0.00000	1.4
qTOT7*	SATT175-EAGGMCTT095	76.1-85.1	115.8 ± 9	11.0	0.00000	3.1
qTOT8*	SATT187-EAGGMCTT205	23.0-29.1	-50.5 ± 14.6	19.3 (16.2)	0.000554	3.0

^aName given to a particular QTL, GLY and TOT for glycitein and total isoflavone content, respectively, followed by the chromosome number and a number when more than one in the same chromosome. Asterisks highlight QTL reported in our previous study [14]. ^bInterval of confidence in centiMorgans with respect to the first marker in the LG. ^cMain additive effect in μg/g plus/minus standard error. Mean effect of substituting both Essex alleles by PI437654 alleles. Thus, positive values indicate that the PI437654 allele increase the phenotypic value^{. d}F-values of significance of each QTL. Threshold F-values were 7.2 and 8.0 for glycitein and total isoflavones, respectively, for the 4-environmentcombined analysis. Between brackets is the threshold F-value for QTLs identified at a particular environment. P-values represent the significance of each effect. ^eh²(a) is the heritability of the additive effect or percentage of variation (%) that is explained by the additive component of the QTL.

Epistasis is decisive in determining seed isoflavone amounts

Accumulated evidence suggests that gene-gene interactions may be accountable for a great part of the phenotypic variation observed in complex traits. Particularly, additive × additive (AA) epistatic interactions have been proven to be responsible for a great part of isoflavone seed amounts in certain environments, even more than main QTL [14]. Despite its interest, mapping epistasis in complex traits is a daunting task because of the great number of pair-wise combinations implicated and their small individual effects. Analogous to the additive main-effect QTL, performing a combined analysis with replicated observations and over different environments allows not only recovery of a great number of small-effect AA epistasis, but also the more stable-over-environment. A total of fourteen, twenty one, seven, and eight AA epistatic interactions were found to influence genistein, daidzein, glycitein and total isoflavones accumulation, respectively (Additional file 3). In addition to the AA epistatic main-effect, some of the interactions also possessed an AA×E interaction effect (Additional file 4). The importance of epistasis was most revealed for daidzein, for which the percentage of the variation explained for by the sum of epistatic interactions was 22.7%. For genistein, glycitein and total isoflavones this percentage was 10.7, 4.7, and 12.0, respectively. Importantly, the maximum contribution by any particular interaction was only 3.6%. All chromosomes had at least one epistatic connection. Overall, our results suggested that epistasis is a major determinant of phenotypic variance for isoflavone seed contents, and that many small individual interactions contribute to the total effect.

Isoflavone synthesizing genes as candidate genes for additive QTL

The recent release of the whole genome sequence Glyma1 assembly for Williams 82 [15] (accessible at http://www.phytozome.net/soybean) provides a powerful tool with which to interrogate QTL data. Previously reported genes for isoflavone biosynthesis [3] were used in BLAST searches against the whole genome sequence to identify homologous regions in the genome with assigned or putative functions (Additional file 5). All twenty soybean chromosomes had regions sharing a high percentage of homology with genes of known function in the phenylpropanoid pathway (Figure 4). In an effort to add more information onto the network map, we also included other reliable QTL reported earlier by our and other groups [10–12, 14]. In total, out of the twenty soybean chromosomes that form the soybean genome, nineteen were found bearing at least one additive QTL accounting for seed isoflavone accumulation, reflecting the wide-spread distribution of isoflavone influencing loci. In addition, to make the genetic map as informative as possible, all homologous sequences found during the blast search were also placed on the map at their approximate positions, including the ones with only putative function or potential pseudogenes. Candidate genes were considered those falling in the interval of confidence (IC) of a main-effect QTL, assuming the limits of the mapping resolution.

Accordingly, several matches were found between QTL and biosynthetic genes. In Gm01, qDAI1 and another locus reported somewhere else for glycitein synthesis [11] overlapped a copy of chalcone synthase (CHS6). Another region at one of the ends of the chromosome was previously reported to account for glycitein seed content [10, 12] and embraced three phenylpropanoid genes (CHS7, 4CL4, and HIDH). Nearby the end of Gm02, two F3H copies matched the position of four QTLs (qGEN2, qDAI2, qGLY2, and qTOT2). In the same chromosome, two other QTL were found to explain genistein and total isoflavones (qTOT_2 and qGEN2). A C4 H gene is centered in their IC. Another C4 H copy on Gm14 is found within the interval of the QTL gen-B2, and also of two other QTL for genistein and daidzein previously reported [10]. In Gm03 a glycitein QTL found by the same group [10, 11] coincides with a copy of another important gene, PAL1. At the beginning of Gm04, three QTL (qGEN4, qDAI4, and qTOT4) were in the same region in which an isoflavone reductase copy (IFR2) was mapped. Several genomic regions in Gm07 account for the synthesis of distinct isoflavones (qGEN7, qDAI7, qTOT7, and qDAI7_2). However, despite the observation that critical isoflavone genes (IFS1 and 4CL4) are present in this chromosome, those QTLs remain without a clear candidate. An extensive area of approximately 50 cM was shown to influence genistein, daidzein, glycitein and total isoflavone accumulation [12]. This region was apparently reduced to ~15 cM by another group [11], because the latter is included in the former and both accounted for the same isoflavone compounds. The 4CL4 gene is less than 5 cM apart from this region and about 10 cM from qGEN7, qDAI7, and qTOT7. Numerous QTL reported for this chromosome suggests the presence of a large number of polymorphisms associated with isoflavone synthesis. In Gm11, a region identified to affect glycitein content [10, 11] was found to overlap a 4CL homolog. A chalcone isomerase (CHI3) and isoflavone synthase (IFS2) genes were located in the region identified by qGEN13, in Gm13. In this chromosome, another QTL was reported for glycitein [12], with a PAL and 4CL copies lying nearby the QTL IC. In Gm14, one of the two C4 H homologous copies is within the genomic area delimited by gen-B2 [14] and by two other QTL for genistein and daidzein [10]. The only known copy of the isoflavone hydroxylase (I2'H) gene is in the region delimited by the IC of qGEN15, qGLY15, and qTOT15, in Gm15. Two glycitein loci were previously reported by our group in Gm17 (gly-D2_1 and gly-D2_2), had a copy of 4CL1 and DFR2 as candidate genes, respectively. Another QTL for glycitein in Gm18 (gly-G) is nearby a IOMT and CHR copies, although not overlapping. A phenylalanine ammonia-lyase copy (PAL) located on Gm19 is clearly a good candidate for qGEN19, qTOT19, and dai-L. Finally, in Gm20, a copy of the IOMT gene is within the region demarcated by qGEN20. In addition, copies of CHI-1A, CHI-1B1, and CHI2 are present in close proximity (<10 cM).

Genetic control of isoflavone seed content

The phenotype of complex traits is the result of diverse genetic and environmental factors, many of which have been found to interact with one another. Isoflavone content in soybean seeds is highly variable among lines, locations, and within cultivars. The origin of such variability was found in genetic (G), environmental (E), and G×E interaction factors. This grade of phenotypic unpredictability inherent to the environment has long hampered the use of molecular breeding technologies, such as marker-assisted selection (MAS), to develop appropriate isoflavone lines. Besides, the need for pyramiding of numerous genes, most with very small effects and the inconsistency in estimation of those effects may make MAS quite difficult. Different MAS approaches have been successfully attempted targeting traits governed by many minor-effect QTL [42]. However, these approaches rely on finding a close marker-trait association relatively independent from the environment. Despite the environmental interference, heritability in the broad-sense was found high for all traits, which in a population of RILs indicates that the observed phenotypic variability is largely under the genetic control of additive loci, either by itself or by AA epistasis. Supporting the broad range of variation observed for isoflavones, several loci also have an E and a QTL×E interaction effect (A×E or AA×E) by themselves (Figure 4 and Additional files 2, 3 and 4).

Our multi-environment approach allowed detection of thirty-five main-effects QTL. Nearly 92% of them individually account for less than 5% of the phenotypic variability, suggesting that isoflavone seed concentrations are governed by numerous minor-effect QTLs. Successfully detecting QTL and interactions of such small effects could have been accomplished through including data points of various environments and replications as independent entities under the same mapping algorithm. Certainly, the presence of false positives cannot be ruled out but, likely, the many individual observations (2640) resulted in increased power and precision by reducing the experimental error [41]. Many of these main-effect QTL were also interacting, implying that they might have different absolute effects in different genetic backgrounds and environments. However, most of the interactions occurred between loci that bear no additive effects. Our results indicate that epistatic network of interactions for isoflavones is largely changed when plants are grown in different environments and may be one of the main causes of their phenotypic variability over locations and years. Corroborating this observation, approximately one-third of the epistatic interactions detected in this analysis also showed interaction with the environment (QTL×E). The same proportion of QTL×E interactions was found for different traits in a study in maize [43]. Recently, it has been shown that an epistatic interaction can have a positive or negative effect upon plant fitness depending on the environment by regulating the salicylic acid stress signaling pathway [44]. We hypothesize that the whole network of main-effect and epistatic QTL changes to confront and adapt to external biotic or abiotic stimuli. This is in agreement with the role of isoflavones in defense mechanisms against damaging agents such as pathogens, UV radiation and cold stress [5, 16, 17, 45–47]. However, the specific reason why isoflavones are directed towards accumulation in seeds remains elusive.

Some observations suggest that we might currently perceive only the tip of the iceberg and that the genetic network controlling isoflavone synthesis is likely to be even more intricate than previously thought. First, the threshold applied to QTL detection must be very strict to deal with the multi-test issue and keep the rate of false positives low. For such complex traits likely imply that many minor-effect QTL would remain undiscovered, especially in sample mapping populations. This issue is even more critical for epistatic QTL because two intervals must be tested. For instance, taking into account both main and epistatic QTL, our model was only able to explain 37.9% of the variance (additive:25.8 + epistatic:12.1), 49.1% (25.4+23.7), 16.7% (10.2+6.5), and 40% (27.5+12.5) for genistein, daidzein, glycitein and total isoflavones, respectively. The high percentage of remaining unassigned variance is likely due to minor-effect loci and epistasis that did not reach the threshold level of detection, further suggesting that numerous minor-effect loci are involved in isoflavone synthesis. Underestimating the number of QTL causes overestimation of the genetic effects of the ones identified because of what is known as the Beavis effect [48, 49]. Therefore, special care must be taken when considering the reliability of the parameter estimates. Second, only polymorphic loci will segregate in the progeny and consequently be detected. Important but monomorphic loci may remain undiscovered. This is especially crucial for epistatic QTL as both interacting loci must be polymorphic, as otherwise they will not create phenotypic variance. Third, a population of RILs may underestimate the total epistasis if dominant interactions exist [50]. Effectively, due to the structure of the mapping population, it is not possible to map QTL bearing dominant (D) main or epistatic effects (DD, AD or DA). However, due to the smaller number of genotypic classes, a RIL population increases the statistical power to detect the remaining AA component, which is the more useful for MAS because it is heritable [51]. Moreover, the self-pollinating nature of soybean, with usually less than 1% cross-pollination [52], does not suggest those effects to be important in natural populations. Fourth, third- or higher-order epistatic interactions are not reflected on the mapping analysis but could exist and be an important component for complex traits such as isoflavones [53, 54]. As a last observation, despite the marker-dense linkage map and the threshold values considered for QTL detection, the presence of spurious QTL cannot be completely discarded due to the limited number of individuals sampled. Nevertheless, large sample size in experimental populations is not only economically unfeasible but also does not guarantee detecting all possible minor-effect QTL [55].

Complex networks of interacting genes govern isoflavone content in soybean seeds

The soybean genome is believed to have undergone at least two independent duplications from a diploid ancestor to render the actual polyploidy [15, 37]. This degree of duplication is also reflected in the phenylpropanoid genes and increases the difficulty in performing gene-function association analysis because polyploidization may bring about gain-of-function, loss-of-function or neo-functionalization of certain copies [38]. It is also common to find tissue-specificity for some gene copies. For example, CHS has nine paralogues distributed along seven chromosomes, out of which CHS5 and CHS6 were not found in seeds at detectable levels [56]. With regards to CHS6, it has been suggested that it is present as a single copy in Gm09 [57, 58]. However, our BLAST searches revealed a second matching locus in Gm01 (Glyma01g22880.1), which features only a few SNPs when compared to the NCBI entry for CHS6 (Additional files 6, 7, 8 and 9).

A separate discussion of the CHS genes present on Gm08 is merited. According to BAC sequencing, as many as 12 CHS-related genes are thought to be present on Gm08, organized in two clustered regions [58]. One such region is composed of two perfect inverted repeated regions each containing CHS1, CHS3, CHS4 genes. This region is commonly referred to as the I locus, and although the specific silencing RNA is unclear, appears to act through siRNA-mediated gene silencing to inhibit seed coat pigmentation by specific degradation of seed coat specific CHS7 and CHS8 transcripts [58–60]. The CHS6, CHS7 and CHS8 genes are not apparently present in clusters on Gm08 but rather in single copy regions on other chromosomes [58]. In addition, at least four additional CHS genes (CHS5, CHS3, CHS1, and CHS9) are thought to be present in another CHS cluster on Gm08, for a total of 12 CHS genes on Gm08. The current Glyma 1.01 assembly of Gm08 contains only 7 CHS-corresponding regions (6 CHS gene models, and an additional matching region which does not have an annotated gene model, Additional file 5) as determined by BLAST searches using CHS sequence as queries http://www.phytozome.net/soybean. It seems likely that a miss-assembly has occurred in this region and the number of CHS genes present on Gm08 remains to be resolved. It is not currently clear to what extent other similar regions with gene repeats may have impacted on the assembly of the whole genome shotgun sequence. Furthermore, as many as ten regions were found sharing homology to the IFR gene. Although several of them may be pseudogenes, genes inactivated by the accumulation of deleterious mutations, it may be quite difficult to ascertain in which tissues, if any, these genes are expressed if they share a high percentage of homology. In addition, we currently have only a single sequenced genome (Williams 82) for reference. It is highly likely that other cultivars will have differing numbers and dispositions of phenylpropanoid genes. In particular, large scale rearrangements and deletions have been noted for the CHS gene clusters present on Gm08 [61].

The network of genes and interactions appears to have several interconnected neuralgic centers. The CHS gene cluster in Gm08 emerges as key node controlling the synthesis and accumulation of all individual isoflavones. The cluster rests within the IC of two important QTL for daidzein and total isoflavone content. In addition, it has connections with two other influential QTL and candidate genes: in Gm05, and Gm19(PAL). Importantly, all three isoflavones have at least one epistatic line converging in the CHS cluster. One of those pair wise interactions connected the cluster with the focal locus at the end of Gm05, and explained both genistein and daidzein, which is a rare phenomenon and further validated the interaction. This locus itself accounted for genistein, daidzein, glycitein, and total isoflavones (qGEN5, qDAI5, qGLY5 and qTOT5), and it is by far the most principal of all QTL reported herein in terms of explained percentage of variance and additive value. However, for this QTL of largest effect, no known biosynthetic gene was found to be located within this region. Perhaps a heretofore unknown isoflavone biosynthetic gene is within this region. Alternately, a trans-acting factor affecting the expression or activity of isoflavone biosynthetic genes may be present (transcription factor, ubiquitin-related protein, etc). Consistent with this hypothesis, the epistatic interactions that this locus has with another central locus (Gm08/CHS cluster) reinforces the hypothesis of an action through trans-regulatory control. Whether this region contains such a factor remains for future fine-mapping work. Strengthening its central role, the CHS cluster is also epistaticaly connected with two other regions: a genistein interaction with the locus Gm19/(PAL), and a glycitein interaction (Gm11) with a locus in the proximity of a QLT implicated in glycitein production [10, 11]. A third strategic node in Gm07 accounts for genistein, daidzein and the sum of all isoflavones, and it is also connected with two other important areas in the genome. First, a daidzein epistatic interaction with the region in Gm01/(CHS6) of qDAI1 and a QTL reported for glycitein [11]. The second is an interaction for genistein with Gm13/(IFS2, CHI3), which itself also explains genistein seed concentrations in an additive manner. Three loci located in Gm02/(F3H1, F3H2)-Gm05-Gm15/(I2'H) formed another key three-node subnet for isoflavone synthesis. If a single genomic region harbors QTL for genistein, daidzein, glycitein and total isoflavones, it is certainly a good candidate to be considered for marker assisted selection. The underlying gene could be an enzyme acting early in the pathway or a trans-acting factor, which impacts expression or activity of one or more of these genes. One such region is found at the beginning of Gm02 corresponding to two F3 H genes (F3H1 and F3H2). This focal locus also featured two epistatic interactions accounting for daidzein and total isoflavones, respectively, with another locus in Gm05 for daidzein accumulation [10]. In addition, this Gm02 locus was also linked by means of an epistatic interaction for total isoflavones to a QTL in Gm15 for genistein, glycitein, and total seed isoflavone content, which is also connected with Gm10(CHI-1B). Finally, two other important additive nodes, in Gm04 (qGEN4, qDAI4, qTOT4) and Gm16 (qDAI16, qTOT16), were connected by a daidzein epistatic union.

Downstream and substrate-competing enzymes are less tractable to an intuitive interpretation, and likely require metabolite quantification to more precisely assess flux before considering their role as candidate genes. It is also difficult to establish a relationship with enzymes which govern reactions occurring far removed, or in another biosynthetic branch, from the QTL. This may be the case of for example the QTL region in Gm02 explaining the accumulation of all isoflavones (qGEN2, qDAI2, qGLY2, and qTOT2) and overlapping a copy of F3H. Other examples are: IFR2 for qDAI4, qTOT4, and qGEN4 in Gm04; DFR2 for gly-D2_2 in Gm17; IOMT for gly-G in Gm18; and 12'H for qGEN15, qGLY15, and qTOT15 in Gm15. Product inhibition and other metabolic controls are likely involved and maintain the proportion of the different isoflavones within acceptable biochemical ranges.

Having placed the phenylpropanoid genes on the genetic map also offered us the possibility to formulate hypotheses on the genetic basis underlying epistasis. Surprisingly, a great number of the epistatic QTL have isoflavone synthesizing genes located in their IC (Figure 4), suggesting that a great number of the interacting loci could have a tractable genetic basis. Epistasis might be a critical factor for fitness-related traits in some plant species [62, 63]. This is in perfect agreement with the role that isoflavones have in the fitness of soybean plants. However, epistatic QTL are subjected to dramatic adjustments, even more than their additive counterparts, when different environments are considered [12, 14]. Despite these difficulties, researchers have successfully assigned genes to epistatic QTL that also had additive effects [44, 64–66]. Finding the genes underlying epistatic QTL with no main-effect is more challenging but in some cases they have been revealed [67, 68]. Trying to assess the complete network of isoflavone epistasis appears to be a colossal task because the number, environmentally-influenced, and small-effects of the interactions. Moreover, only genes on the phenylpropanoid pathway were placed on the linkage map, and although epistasis is more likely to occur between genes on the same or related pathways [69], undoubtedly interactions with other enzymes or transcription factors exist. Under these premises, one should be very cautious when intending to assign candidate genes to epistatic QTL. However, considering the genetic network as a whole might help not only in validating the individual components but also in deciphering genes underlying epistasis. For instance, if an epistatic locus also bears a main-effect, it may warrant further study. Moreover, if both epistatic and main-effect QTL account for the same trait it seems more likely not to be a spurious QTL. This extreme, frequently observed in our analysis, further validated many of the epistatic interactions, as opposed to being artifacts due to a limited sample size. For example, in Gm17 two independent main-effect QTL accounted for glycitein concentrations. Both had candidate genes in their IC, and both were found to interact with each other by an epistatic interaction, which accounted for glycitein accumulation itself.

Plant material and growing conditions

In a previous study we used a cross between Essex (low seed-isoflavone content) and the plant introduction PI 437654 (high seed-isoflavone content) to map isoflavone-content QTL [14]. The same 205 F₇-derived recombinant inbred line (RIL) mapping population was planted in two-row plots in April of the following year (2007) at the same two locations: University of Missouri Bradford Research and Extension Center (BREC, 38°9'N) and the University of Missouri Delta Research Center (DRC, 36°44'N), with three replications per location. Plants were maintained under irrigated conditions until physiological maturity at which seed samples were harvested from a pool of at least three plants per RIL for each replication. Records of precipitation, temperatures, and other climatological parameters during the growing period for both locations and years can be found at http://aes.missouri.edu/bradford/weather/ and http://aes.missouri.edu/delta/weather/, respectively. Consequently, four different environments were used for the study, which consisted of 2 years (2006 and 2007), and 2 locations (BREC and DRC), and a total of 2460 (205×4×3) pooled seeds were phenotyped and later used as independent observations to perform an ample QTL mapping analysis.

Isoflavone Extraction and Quantification

Genistein, daidzein, and glycitein amounts were determined as previously described [14]. Briefly, ~ 20 seeds from a pool of at least three plants per RIL for each replication were ground to a fine powder and extracted with 7 mL of 80% methanol at 55 °C for 2 h, vortexing every 30 min. The supernatant was cleaned using Fisherbrand 0.45 μm 25 mm nylon syringe filters (Fisher Scientific, Pittsburgh, PA). 10 μl of the filtered extraction was used for reverse-phase HPLC on an Agilent 1100 HPLC system (Santa Clara, CA). Separation and elution were performed by an 18 min linear gradient starting with 20% methanol/80% 10 mM ammonium acetate (v/v) (pH 5.6) and finishing with 100% methanol at 1 ml/min. A RP-C18 Lunar C2 column was used (Phenomenex, La Jolla, CA). Metabolites were detected by photodiode array. Identification and quantification of each isoflavone component were based on available standards (Indofine Chemical Co., Somerville, NJ).

Statistical analysis, linkage map and QTL analysis

Statistical analysis was performed using the SAS STAT 9.1 program (SAS Institute Inc., Cary, NC). For the ANOVA, the pooled linear model contained the effect of environment, replication within environment, genotype, and environment × genotype. Effects were tested using PROC GLM. Heritability in the broad-sense over replicates and environments (H²) was calculated according to [70] for which the variance components were determined by the PROC GLM. The linkage map was previously described [71], and contained a total of 276 markers (SSR and AFLP) distributed on 26 linkage groups. The mixed-model based composite interval mapping implemented in QTLNetwork v2.0 (Institute of Bioinformatics, Zhejiang University, Hangzhou, China), and described in [72], was used for the QTL mapping analysis and run with two-year two-location input data and three replications per location. QTLNetwork, which was specifically developed for complex traits, can perform an integrated analysis using each replicate data as an independent entity, precluding the need to average, and thus allowing greater statistical power through larger data samples [41]. This mapping approach efficiently integrates effects of multiple QTLs, epistasis, and QTL-by-environment, by first conducting a whole genome scan for candidate marker intervals. The selected markers are subsequently used as cofactors for putative QTLs, followed by detection of significant marker-interval interactions. Finally, all is integrated by a whole-genome scan of epistasis conditioned on previously found QTLs and marker-interval interactions. Candidate interval selection, epistatic effects, and putative QTL detection were calculated with an experimental-wise Type I error of α = 0.05, α = 0.001, α = 0.001, respectively. QTL effects were estimated using Markov chain Monte Carlo method. Genome scan was performed using 10 cM window size and 1 cM walk speed. Critical F-value was assessed by permutation test using 1000 permutations rendering 7.4, 7.5, 7.2, and 8.0 for genistein, daidzein, glycitein, and total isoflavones, respectively. Individual replicated data and the four environments together were used to run QTLNetwork; however, data of each separate location and year were also used for comparison.

To calibrate the statistical power of the experimental design for detecting QTLs, a Monte Carlo simulation was conducted with the actual linkage map, sample size (2460 observations), and trait broad sense heritabilities, as previously reported [72]. For the simulations, a complex trait was supposed to be controlled by ten QTLs, with additive (A) and/or additive by environment interaction (A×E) effect components. One hundred simulations were run and the average estimates (± SE) were computed. Support intervals were calculated as described in [72]. Overall, simulations found a 100% power of detecting QTLs with relative contributions (RC) larger than 3.8%, a 68% with contributions larger than 1.5%, and a 58% larger than 0.8% (Additional file 10. Epistatic effects were not included in the simulations due to the overdemanding computational needs for their estimation with the aforementioned experimental parameters. However, including epistasis would likely further improve the statistical power to detect QTL as well as the false discovery rate estimates [14, 73].

Candidate gene identification

To discern the genomic location of candidate genes for isoflavone synthesis we assembled a list of NCBI gene entries derived from Glycine max and Medicago truncatula. The coding sequence of each entry was used as query in BLASTn searches, using an E-value cut off of 1.0E-05 against the Williams 82 Glyma1.01 sequence http://www.phytozome.net/. For one of these gene categories, chalcone synthase (CHS), we utilized tBLASTn with predicted protein sequences as query, with an E-value cut off of 1.0E-20. A list of gene models identified by BLAST searches were assembled and evaluated (Additional File 5). We assigned the best matching gene model the gene name corresponding to an NCBI entry (a list of all entries used is shown in Additional File 1), other matches are labeled "putative". Glyma1.01 gene model protein and nucleotide coding sequences were aligned to NCBI entries using AlignX software (Invitrogen, Carlsbad, CA) to determine protein and coding sequence % identity. Genetic map position for candidate genes were estimated by identifying the nearest flanking SSR or SNP genetic markers using the generic genome browser hosted on: http://www.soybase.org.