The genetic control of polyacetylenes involved in bitterness of carrots (Daucus carota L.): Identification of QTLs and candidate genes from the plant fatty acid metabolism

Background Falcarinol-type polyacetylenes (PAs) such as falcarinol (FaOH) and falcarindiol (FaDOH) are produced by several Apiaceae vegetables such as carrot, parsnip, celeriac and parsley. They are known for numerous biological functions and contribute to the undesirable bitter off-taste of carrots and their products. Despite their interesting biological functions, the genetic basis of their structural diversity and function is widely unknown. A better understanding of the genetics of the PA levels present in carrot roots might support breeding of carrot cultivars with tailored PA levels for food production or nutraceuticals. Results A large carrot F2 progeny derived from a cross of a cultivated inbred line with an inbred line derived from a Daucus carota ssp. commutatus accession rich in PAs was used for linkage mapping and quantitative trait locus (QTL) analysis. Ten QTLs for FaOH and FaDOH levels in roots were identified in the carrot genome. Major QTLs for FaOH and FaDOH with high LOD values of up to 40 were identified on chromosomes 4 and 9. To discover putative candidate genes from the plant fatty acid metabolism, we examined an extended version of the inventory of the carrot FATTY ACID DESATURASE2 (FAD2) gene family. Additionally, we used the carrot genome sequence for a first inventory of ECERIFERUM1 (CER1) genes possibly involved in PA biosynthesis. We identified genomic regions on different carrot chromosomes around the found QTLs that contain several FAD2 and CER1 genes within their 2-LOD confidence intervals. With regard to the major QTLs on chromosome 9 three putative CER1 decarbonylase gene models are proposed as candidate genes. Conclusion The present study increases the current knowledge on the genetics of PA accumulation in carrot roots. Our finding that carrot candidate genes from the fatty acid metabolism are significantly associated with major QTLs for both major PAs, will facilitate future functional gene studies and a further dissection of the genetic factors controlling PA accumulation. Characterization of such candidate genes will have a positive impact on carrot breeding programs aimed at both lowering or increasing PA concentrations in carrot roots. Supplementary Information The online version contains supplementary material available at 10.1186/s12870-022-03484-1.

Dunemann et al. BMC Plant Biology (2022) 22:92 Background Carrot is an economically important and world-wide grown root vegetable known as a multi-nutritional food source. The carrot root is one of the richest sources of provitamin A and contains several other bioactive natural products, which are recognized for their nutraceutical effects [1,2]. Among the several chemical major classes the polyacetylenes (PAs) are a large group of phytochemicals, which are produced in higher plants of the families Apiaceae, Araliaceae and Asteraceae [3,4]. Twelve different aliphatic C 17 -PAs have been characterized in carrots [4], and Busta et al. [5] recently added two further compounds to this list. The major PAs of carrot and other Apiaceae species are falcarindiol (FaDOH) and its presumed precursor falcarinol (FaOH), previously also known as carotatoxin [6]. In carrot root periderm FaDOH is the quantitatively predominating PA [5,7] but the concentrations of FaOH and FaDOH depend on the carrot cultivar [8]. In addition, roots of some wild carrot relatives such as the subspecies D. c. maximus, D. c. maritimus, or D. c. halophilus were shown to have up to 20 times higher PA concentrations than roots of cultivated carrots [9,10]. Next to other phytochemicals such as 6-methoxymellein, laserin and epilaserin the presence of higher amounts of C 17 -PAs has been shown to contribute to the undesirable bitter off-taste of carrots and their products [11][12][13]. The localization of PAs in exterior plant tissue layers such as the root periderm is also consistent with their assumed role in plant defense. Moreover, FaOH and FaDOH might action against some fungal carrot pathogens [14]. Accumulation of polyacetylenic phytoalexins, including FaOH, was observed in tomato fruits and leaves induced with Cladosporium fulvum, Verticillium albo-atrum, and Fusarium oxysporum [6]. In carrots, FaDOH could inhibit the in vitro development of the fungal leaf blight pathogen Alternaria dauci, and the levels increased in response to A. dauci inoculation [15]. With regard to putative effects of PAs on human health a wide range of biological activities have been reported for falcarinol-type PAs demonstrating that they exhibit potent anti-microbial, anti-inflammatory and anti-cancer effects [3,4,[16][17][18][19].
Despite their interesting biological functions, the biosynthesis of PAs and its genetic basis are poorly understood. In higher plants PAs are produced from unsaturated fatty acids such as oleic acid and linoleic acid. It has been hypothesized that a diverse pathway from linolenic acid to unusual fatty acids, such as crepenynic and dehydrocrepenynic acid, is the major route for the biosynthesis of falcarinol-type PAs [5,6]. The enzyme primarily responsible for the synthesis of linoleic acid from oleic acid is a Δ12-fatty acid desaturase [20]. Divergent forms of FATTY ACID DESATURASE 2 (FAD2) enzymes have diversified functionalities in fatty acid modification, e.g. catalyzing hydroxylation [21], epoxidation [22] and the formation of acetylenic bonds and conjugated double bonds [23]. The Crep1 gene from Crepis alpina was the first cloned FAD2 gene encoding a functional acetylenase. This enzyme accumulates large amounts of the acetylenic fatty acid crepenynic acid in the seeds of C. alpina [22].
FAD2 is among the best-studied plant fatty acid desaturase gene families, in terms of both molecular and biochemical investigations. Since the cloning of a first plant FAD2 gene in A. thaliana [24], FAD2 genes have been isolated and characterized from many different plant species, including members of the FAD2 gene family that possess diverse functional activities in fatty acid modification such as acetylenases. Only a single FAD2 gene exists in Arabidopsis, but in most other plants multiple homologous FAD2s were found. Species with the largest known number of FAD2s are soybean (seven FAD2 gene family members), cotton and tomato (9 genes), and safflower (11 genes) [25]. However, in the Apiaceae species Petroselinum crispum (parsley) 17 FAD2 sequences were found [26], and in the carrot genome 24 FAD2s were previously reported [5]. This is the highest number of FAD2 family members reported so far, indicating that functional divergence of FAD2s is not limited to oil seed crops [25].
The biochemical formation of FaDOH from its presumed precursor substance FaOH is largely unknown until now. Recently a pathogen-induced biosynthetic gene cluster was discovered in tomato and shown to be putatively involved in FaDOH production [27]. Among the four highly co-expressed clustered genes three genes were annotated as FAD2 desaturases or acetylenases, and the fourth was shown to belong to five tomato homologs of CER1 decarbonylase [27]. In Arabidopsis thaliana CER1 (ECERIFERUM1) and CER3 (ECERIFERUM3) gene products catalyze fatty acid decarboxylation in the alkane biosynthetic pathway and play a major role in wax production [28]. Several orthologous genes of CER1 and CER3 have been identified in other plant species such as Brassica napus, Camelina sativa, and Brachypodium distachyon [29][30][31]. In carrot CER1/CER3 family members have not been described yet.
Despite the extensive research concerning the biochemical identification, characterization and putative biological function, less knowledge exists about the genetic control of PA accumulation in carrot roots [4]. However, for breeding of carrot cultivars with a reduced bitter taste (i.e. for baby food or juice and pulp production), or with a higher pathogen resistance and enhanced health benefits more information about the inheritance of PA accumulation is needed. Genetic dissection by QTL analysis and the utilization of gene-specific (functional) molecular markers linked to QTLs for natural product biosynthesis could support such breeding strategies [32]. As a first attempt for carrot PAs, Le Clerc et al. [33] identified QTLs for the FaDOH levels in roots in some regions of a carrot linkage map and associated them with QTLs for bitterness and resistance to the fungus Alternaria dauci. However, no putative candidate genes were investigated in this study.
In this study, we performed a QTL analysis in a 400 plants large carrot F 2 family derived from a cross of inbred lines of a cultivated and a wild Daucus accession rich in PAs. Major QTLs were identified for both root levels of FaOH and FaDOH, enabling the detection of numerous genomic regions carrying QTLs and candidate genes from the plant fatty acid metabolism. To discover putative candidate genes, we examined and extended the FAD2 gene family in carrot and, for the first time, we used the carrot genome sequence for an inventory of CER1/3 genes putatively involved in the genetic control of PA biosynthesis.

Polyacetylene phenotyping and QTL mapping
Two main C 17 -PAs FaOH and FaDOH were quantified in carrot root samples of 400 individual F 2 plants of the progeny 'CA' (P_1870 x P_345B). There was a large phenotypic variation among the F 2 genotypes, with a population mean of 197 μg/g dry weight (DW) for the FaOH level, and an about five-fold higher FaDOH content (1038 μg/g DW) (Fig. 1). We observed few individuals with less than 30 μg/g DW FaOH and three plants with a FaOH content above 1000 μg/g. The FaDOH contents varied between 200 μg/g and 3000 μg/g in the analyzed plants (Additional file 1: Table S1). Since a major prerequisite for bi-parental QTL mapping is a cross between contrasting parental genotypes, we performed a pre-test of the parents. In average, the plants of the D. c. commutatusderived parent line (P_1870) had a twice as high FaOH content compared to the parent plants of the cultivated carrot line (P_345B), and the FaDOH content was about 3.5 times higher, respectively (Additional file 2: Fig. S1).
A total of 713 SNP markers were used to construct a 505 cM linkage map for the nine carrot chromosomes based on 374 F 2 plants of the CA progeny (Additional file 3: Fig. S2). The map constructed has an average map resolution of 1 cM with a maximum gap of 11.7 cM on chr_8. With regard to the physical position of the markers, the chromosomes are well covered with the largest gap size of 1.48 Mbp. Severe segregation distortions were noted for chromosomes chr_1, chr_5 and chr_9, all positive towards the P_345B parent. To check if the segregation distortions were caused by bolting, the bolted individuals were genotyped for the distorted regions, and only chr_1 showed a different allele distribution, showing a single incomplete recessive locus on chr_1, between 16.6-25.6 Mbp (P_1870 origin; data not shown).
QTL analysis mapped in total 10 QTLs for the concentrations of FaOH (6 QTLs) and FaDOH (4 QTLs), and two additional QTLs were identified for the concentration ratio of FaDOH and FaOH (Table 1). The six QTLs for the FaOH concentration were located on the chromosomes chr_1, chr_3, chr_4, chr_5, chr_8 and chr_9 (Fig. 2). For FaOH the QTL FaOH_9.1 showed the highest LOD value (16.7) and explains 15.4% of the phenotypic variation. A second major QTL for FaOH with strong statistical support was found on chr_4 (LOD 14.5). For FaDOH the four QTLs were identified on chr_1, chr_4, chr_5 and chr_9 (Fig. 2). As shown by the QTL peak positions (Table 1), on chr_9 a strong QTL (LOD 40.4) explaining 24.6% of the variation was located at the same genomic position as the QTL for FaOH (FaOH_9.1).   Fig. 2).

Identification of FAD2 and CER1/3 genes in the carrot genome
We performed a reannotation of the whole carrot genome sequence vers.2 [34] to explore if there are carrot FAD2 genes, which have not yet been identified in previous studies. In addition to the FAD2 inventory of [5], who described 24 members of the carrot FAD2 family, we detected seven undescribed putative FAD2 gene models, which are not annotated in the carrot genome, yet (Additional file 5: Data S1). They extend the total number of Daucus FAD2s to 31. The total inventory of carrot FAD2s including the gene names used in this study is shown in Additional file 6: Table S2. The newly predicted FAD2 genes DcFAD2-29, DcFAD2-30, and DcFAD2-31 are located as single genes on chromosomes chr_1, chr_3, and chr_4, respectively. The other four genes (DcFAD2-25 to DcFAD2-28) are clustered together with the already known DcFAD2-4 (DCAR_027655) on chr_8 (Additional file 6: Table S2). This five-gene cluster spans a genomic region of 12.4 kb. The seven newly identified FAD2 genes showed characteristic FAD2 sequence motifs, notably the three highly conserved histidine-rich motifs (Histidine box) which are part of the active sites of the enzyme [20]. Based on alignment of their deduced protein sequences the consensus sequences for the three His boxes in the seven genes are H-E-C-X-H, H-X-R-H-H, and H-V-X-H-H and correspond to the His boxes of the other carrot FAD2s (Additional file 7: Fig. S4). Also, the conserved aromatic amino acid-rich motif Y-X-X-K/R/D/E-L/F/M/I at the C-terminus is present with one exception (DcFAD2-29), where the amino acid P is present at the fifth position of the motif. This motif was reported to be involved in the localization of FAD2 enzymes in the ER [35] and was recently used to support categorization of tomato FAD2s [25]. Therefore, based on sequence information, we suppose that the newly found genes are members of the carrot FAD2 family. A phylogenetic analysis of the carrot FAD2s showed, that DcFAD2-25, DcFAD2-26, DcFAD2-27 and DcFAD2-28 are located in clade I (Additional file 8: Fig. S5) containing 10 known Daucus FAD2s which have been classified as divergent FAD2s [5]. All gene predictions from clade I show the amino acid G immediately preceding the first His box whereas the genes of clade II possess the amino acid A at this position and likely represent canonical FAD2 desaturases. It has been proposed that the amino acid G might indicate the functionally divergent FAD2s like acetylenases [36]. Clade I contains the genes DcFAD2-6 (DCAR_017011), DcFAD2-7 (DCAR_013552), and DcFAD2-8 (DCAR_013548) which were functionally characterized as Δ12-acetylenases [5]. DcFAD2-6 is highly similar (amino acid identity 96%) to the parsley gene PcELI12, which is also known as an FAD2-derived acetylenase [36]. Hence, we assume that DcFAD2-25, DcFAD2-26, DcFAD2-27, and DcFAD2-28 might have an acetylenase function too. The three genes DcFAD2-29, DcFAD2-30, and DcFAD2-31 build a separate clade III (Additional file 8: Fig. S5) but appear to be also FAD2s since the homology with a predicted chloroplast ω6-fatty acid desaturase gene (DcFAD6_DCAR_019387) is very low (results not shown).
To compile a first inventory of carrot CER1/3 genes, we used the predicted tomato CER1 decarbonylase gene Solyc12g100270 [27] for BLAST searches in the carrot genome and in a whole plant protein database (NCBI). In total 12 putative carrot CER1/3 s were found in the carrot genome. Eleven gene models are already annotated in the carrot genome [34], but seven of them appeared to show uncomplete transcript sequences and were complemented by manual comparisons with other plant CER1/3 s and bioinformatically predicted carrot CER1/3 gene models. The putative CER1/3 genes are located either as single or unclustered genes on the carrot chromosomes chr_3, chr_4, and chr_5, respectively, or as two clustered genes each on chr_6, chr_7, and chr_9 ( Table 2). The gene model DcCER1-3 on chr_6 has not been annotated yet in the carrot genome sequence (Additional file 5: Data S1). The predicted Daucus CER1/3 proteins were compared with other plant CER1 and CER3 proteins as for instance those of A. thaliana [28] or C. sativa [29], and a phylogenetic tree was constructed which showed two major clades consisting each of six carrot CER1 or CER3 genes, respectively (Fig. 3). Sequence alignments of the 12 carrot gene models and other plant CER1/3 s showed that the three typical His boxes [37] are also present in the carrot genes (Additional file 9: Fig. S6). Two of the genes (DcCER1-1, DcCER3-1) might be truncated and functionally inactive. The highest amino acid sequence identity was 85.5% for the genes DcCER3-4 and DcCER3-5 and 85.3% for DcCER3-1 and DcCER3-2, whereas the maximum identity among the CER1 genes was 78.2%. The DcCER1s shared only 32 to 36% sequence identity with the DcCER3 genes (Additional file 10: Fig. S7).

Association of QTLs with candidate genes
Chromosomal start and end positions of the QTL intervals were utilized to compare the QTL regions detected with the chromosomal position of FAD2 and CER1/3 gene models described in the previous subsection. In total, nine out of the 12 identified QTL regions comprise FAD2 and/or CER1/3 candidate genes ( Table 3). The number of FAD2 candidate genes per QTL region varies between three and nine, and the number of CER1/3 Table 2 List of Daucus carota CER1 and CER3 gene models sorted by their physical position on the assembled nine carrot chromosomes according to the whole genome sequence [34] a Chromosomes, genomic coordinates, and locus names according the carrot whole genome sequence assembly vers.2 [ [27] is shaded in grey. Multiple sequence alignment was performed by ClustalW using the Lasergene (DNASTAR) software package. A phylogenetic tree was constructed using the Kimura distance formula to calculate distance values and bootstrap analysis (1000 replicates). Numbers indicate bootstrap replication, and branch length is scaled below the tree indicating the number of amino acid substitutions per 100 amino acids Table 3 Putative FAD2 and CER1/3 candidate genes located in 2-LOD QTL intervals. For positions of QTL intervals and candidate genes, see Table 1 (QTL intervals), Additional file 6:  Fig. S8).
For DcFAD2-4 associated with the minor QTL on chr_8, the transcript levels showed the same pattern as for DcFAD2-8 and DcFAD2-19 located within the support interval of the strong QTL on chr_4, and the expression in the periderm was highest among all three cultivars (Additional file 12: Fig. S9). For the genes which are not associated with QTLs, such as DcFAD2-5 and DcFAD2-12, expression levels are high in periderm and low in leaf and petiole. However, DcFAD2-12 was the only analysed FAD2 gene which had a higher expression level in the vascular system (mix of phloem and xylem) compared to the expression level in the periderm.
To get an impression about the genotypic variability of candidate gene expression patterns in different individuals of the parental lines, we analyzed the relative expression of the FAD2 and CER1 candidate genes located on chr_4 and chr_9 in each six individuals of parental lines P_1870 and P_345B. The total RNA was isolated from the 'PPX' samples (mixed periderm, phloem and xylem tissues) from the individual root harvested for each genotype. For P_1870 individuals, the xylem was excluded due to lignification. The relative transcript levels were highly differentiated among the individuals even within the parental lines indicating a large genetic diversity for this trait in the parental lines (Additional file 13: Fig. S10). Similar to the tissue-specific expression study, transcripts of DcFAD2-16, DcFAD2-22, DcCER1-1, DcCER1-2 were barely detected in all tissues. The individuals which have a high expression level of DcFAD2-8, expressed DcFAD2-7, DcFAD2-17 and DcCER1-6 in a high level as well.

Polyacetylene quantification in a carrot F 2 family
In the present study a carrot F 2 family derived from a cross of a cultivated carrot breeding line and the wild relative D. c. commutatus was used for quantification of major PAs FaOH and FaDOH. Since the roots of the original parental plants were not available for PA analysis, we measured the PA contents of each six siblings raised for the pilot experiment with the aim to identify parental lines differing in PA contents and to justify a  bi-parental QTL approach. The average PA contents in the wild parent appeared to be considerably higher than the average PA contents in the cultivated breeding line. In the rare PA studies based on carrot wild relatives it was shown that Daucus species and subspecies can contain much higher PA contents than cultivated carrot forms [9]. Accessions of D. c. commutatus were among the (sub)species with the highest FaOH and FaDOH contents [10]. PA data collected from the pilot experiment as well as those from the main experiment showed that -with the exception of three plants -all investigated plants possessed a higher FaDOH level compared with FaOH. According to Czepa and Hofmann [7] the most abundant PA in cultivated orange carrots is FaDOH, and the highest total PA levels were found in the periderm tissue [5,9,38]. In our study we focused for QTL analysis on total FaOH and FaDOH contents measured in samples representing a mixture of the different root tissues (periderm, phloem, xylem). Considering the large number of F 2 individuals involved in this study, this approach appeared to be appropriate to detect QTLs relevant for carrot breeding. A further dissection of the root tissues for QTL analysis might be applied in future studies to reveal tissue-specific changes in PA biosynthesis.
A large phenotypic variability was observed for the contents of both PAs in the F 2 population indicating that the selection of the crossing parents was appropriate for the bi-parental QTL approach. Carrot is a highly heterozygous species, and genetic uniformity even in advanced breeding lines appears to be not the rule, as it is demonstrated by the phenotypic variation of the PA contents in the six individuals of the 345B parental line. The observed frequency distributions in the F 2 progeny indicate a polygenic inheritance of the PA production in carrot. This is not surprising considering the complex biochemical pathway from which the falcarinol-type PAs derive. Nevertheless, the high phenotypic variation in the F 2 family, which contains plants with no measurable contents of PAs and on the other side plants with extremely high contents above 1000 μg/g FaOH or even 3000 μg/g FaDOH suggest, that major structural or regulatory genes are involved in the control of PA biosynthesis. Generally, the inheritance of PA concentrations and distribution patterns are poorly understood. The only study on carrot PAs based on a segregating population showed that PA contents are a heritable trait [33]. In the carrot F 2 family used in the 2-years experiment for QTL analyses of falcarinol-type PAs, a comparatively low impact of the environment on the accumulation of PAs was found, and the broad-sense heritability for, e.g. FaDOH was estimated with 0.88. Transgressive segregation was also observed in this study [33].

Linkage mapping and QTL analysis
Carrot belongs to the vegetable species for which already several partial or saturated linkage maps have been developed and published (for review, see [39]). For the current study publicly available SNP markers [40] were used for linkage mapping, allowing integration with other published genetic maps. Overall the genetic map is smaller compared to the first high-resolution SNP-based carrot map published by Cavagnaro et al. [41], but the marker order is similar, giving no indication of regions with recombination suppression. It has to be noted that several regions of segregation distortions were identified, which could have an effect, though limited, on the general lower number of observed recombinations in this study. While segregation distortion does not affect QTL mapping especially in dense marker maps, it may lead to erroneous interpretations of the number of loci controlling a trait of interest [42].
In the present study we dissected the genetic basis of two key PAs, FaOH and FaDOH, by QTL analysis. Several major genomic regions seem to be involved in PA production in carrots. Overall, QTLs were localized on six out of the nine carrot chromosomes, which is a sign for the complexity of the genetic control of PA accumulation in carrot. Strong QTLs for FaOH and FaDOH (LOD > 10) were identified with overlapping 2-LOD confidence intervals on chromosomes chr_4 and chr_9 indicating a major involvement of these regions in PA biosynthesis. We propose that these QTL regions include major genes that control the primary or secondary PA metabolism in carrot. The QTL with the strongest statistical support was found for FaDOH in the upper region of chr_9. Interestingly, in the study of Le Clerc et al. [43] the biggest QTL for FaDOH was also located on chr_9, but according to their linkage map of chr_9 the QTL was on the opposite side. Due to the usage of proprietary markers used by these researchers (V. le Clerc, pers. comm.) it was not possible to verify the orientation of chr_9. However, it seems possible that both strong QTLs for FaDOH share a common biological origin. The QTL identified by us for both PAs in the lower region of chr_4 could be the same QTL identified for FaDOH by Le Clerc et al. [43] in this genomic region. A QTL for falcarindiol-3-acetate, a minor PA probably metabolized from FaDOH, was detected by latter researchers on top of chr_8, where we identified a QTL for the FaDOH/FaOH ratio. QTLs for PA ratio might be useful to identify loci controlling the interconversions among the PAs. It is presumed, that FaDOH is produced from the precursor substance FaOH [4,6]. As the QTL effects of allele 'B' from the wild parent P_1870 are responsible for a lower PA ratio in 'BB' genotypes, it is probably that the QTLs for the PA ratio indicate impaired conversion of FaOH into FaDOH (i.e. accumulation of FaOH). The generally increasing QTL effects of the 'B' allele for all other QTLs associated with total amounts of single PAs indicate that rather the primary metabolism of common fatty acid precursors, as for instance crepenynic and dehydrocrepenynic acid, is controlled by genetic factors underlying these QTLs. Likely there was a selection during the domestication process against unfavourable "wild" alleles associated with high FaDOH contents to avoid a too high level of bitterness in cultivated carrots.
Overall, the results from our QTL analysis confirmed the utility of a carrot family derived from a wide cross of a cultivated carrot with a D. c. commutatus accession rich in PAs. Previous studies based on the genetics of carotenoid accumulation used a mapping population derived from a cross between a cultivated orange carrot and a wild white carrot collected in North America [44,45]. Important advances in the understanding of the genetic control of carrot anthocyanin pigmentation have been made by using a purple wild carrot parent from Turkey [41,42].
To dissect the genetic basis of a quantitative trait, such as the content of a natural product, two main methods have been used in the past, bi-parental QTL mapping and genome-wide association studies (GWAS). Conventional QTL mapping depends on a diverging genetic diversity of two parents and is very time-consuming since in several crop plants including carrot a F 2 mapping population has to be developed. Moreover, QTL regions can be quite large and may include many potential candidate genes. Nevertheless, this method has been used in carrot research and breeding to elucidate the genetics of important secondary metabolites determining root quality such as β-carotene, anthocyanins, polyacetylenes, and volatile terpenes [32,33,41,44]. GWAS can overcome the limitations of bi-parental QTL mapping and has great potential for detection of QTLs with high resolution in diverse sequenced genotypes. Combinatorial approaches are also very useful to compensate the limitations of each method. Both QTL analysis and GWAS have been used for the detection of DcTPS54, a sabinene synthase gene putatively involved in carrot flavour [32,46] and discovered the Or gene controlling carotene accumulation [47,48]. GWAS aimed at PA compounds in large sets of carrot cultivars, land races and wild relatives would allow the identification of additional QTLs, but might be especially helpful to narrow down the QTL intervals for both FaOH and FaDOH on chromosome chr_4 allowing the more precise association with candidate genes.

Candidate genes associated with QTLs
In this work, the combination of a PA metabolite quantification, bi-parental QTL analysis and the discovery of putative candidate genes from two different gene families involved in fatty acid metabolism have been used to get insights into the genetic control of PA biosynthesis. Few biochemical pathways have been studied in carrot by a combinatorial approach based on linkage mapping, QTL analysis and candidate gene identification. In contrast to previous investigations on carrot carotenoids, anthocyanins and terpenes (for review, see [49][50][51]), no studies have been, to date, reported on comparable candidate gene approaches for PA compounds. The reason is, that in higher plants little is known on the genetic control and the enzymes involved in the biosynthesis of these compounds. Until recently, no carrot genes involved in PA production have been described. Work in the past on parsley (Petroselinum crispum, Apiaceae) identified a divergent form of FAD2 that was upregulated in response to pathogen attack and, when expressed in soybean embryos, resulted in the production of crepenynic acid and dehydrocrepenynic acid [36,52]. These results of the parsley studies are consistent with a pathogenresponsive, divergent FAD2-mediated pathway leading to the accumulation of acetylenic fatty acids needed for PA formation [5]. The FAD2 inventory work of Busta et al. [5] resulted in the identification of 24 carrot FAD2 members, and it was shown after functional analysis of six genes in yeast and Arabidopsis thaliana that these genes represented the major entry point into carrot PA biosynthesis. We performed a reannotation of the carrot genome sequence [34] and detected seven new FAD2 gene models, which increases the total number of carrot FAD2 family member to the large total number of 31. It is a striking feature that carrots seem to contain the highest number of FAD2 family members reported so far in the plant kingdom. Knowledge about the FAD2 family including the divergent forms is based largely on research on A. thaliana and on oil seed crops. Despite the evidence for functional diversification of FAD2 in multiple plant families, the potential of such diversification in major crops including possible roles in biotic stress resistance has been largely unexplored [25].
Recently a biosynthetic gene cluster was discovered in tomato that was required for FaDOH production. Interestingly, among the four highly co-expressed clustered genes there was a CER1 decarbonylase [27]. To our knowledge, this was the first time that a possible CER1 gene function was reported that is different from the so far recognized function in the alkane biosynthetic pathway. The Arabidopsis CER1 protein is known as a decarbonylase that converts fatty acid metabolites into alkanes. Alkanes are components of waxes in the plant cuticle, a waterproof barrier serving to protect land plants from both biotic and abiotic stimuli [53]. We searched for carrot orthologous genes and found six putative CER1 genes showing a close phylogenetic relationship with the previously characterized tomato CER1 and additionally six putative CER3 gene models. Few reports are available about CER gene families in plants. Characterization of the CER1 family genes in Brachypodium distachyon identified eight CER1 homologs [31], and in rice seven putative CER1 paralogs were identified [54].
We identified two genomic regions on two different carrot chromosomes around QTLs for FaOH and FaDOH with high LOD values of > 14 and > 21, respectively, that contain several FAD2 and CER1/3 genes. The six FAD2 genes clustering on chr_4 and the three CER1 genes on chr_9 are preliminary considered as candidate genes, based on their location within 2-LOD QTL confidence intervals. However, a causal relationship between CER1 genes and the production of FaOH and FaDOH remains to be biochemically explained. Concerning the six FAD2 genes associated with the major QTLs on chr_4 their distance to the QTL main peak is larger. However, in the upper region of this chromosome (outside of the 2-LOD interval) the gene DcFAD2-31 is located which might have an influence on the calculated QTL peak positions. The six carrot FAD2 genes associated with the strong QTL on chr_4 reside close to one another within a small region (29.3-29.4 Mbp) and might have been originated from local tandem duplications, as data from microsyntenic and phylogenomic analyses suggest [5]. This cluster also contains the two genes DcFAD2-7 and DcFAD2-8 which have been functionally characterized as Δ12-fatty acid acetylenases, and additionally the gene DcFAD2-19 which was described as a bifunctional enzyme capable of catalysing both Δ12 desaturation of oleate and Δ14 desaturation of crepenynate [5]. Interestingly, in the plants of BRL which showed high PA levels in comparison to other carrot cultivars, a co-expression seem to have occurred in the periderm tissue samples for five out of the six FAD2 candidates including DcFAD2-7, DcFAD2-8, and DcFAD2-19. In the study of [5] the highest coefficients for co-expression with DcFAD2-19 were found for the two putative acetylenase genes DcFAD2-7 and DcFAD2-8. Busta et al. [5] analysed tissue specific gene expression by qPCR in the orange cultivar 'Danvers' and showed that expression of DcFAD2-7 and DcFAD2-8 was highest in the periderm, which is in accordance with our results. Also the putative Δ12 desaturase gene DcFAD2-11 and the functionally characterized Δ12 acetylenase gene DcFAD2-6 which are associated with a QTL for FaOH on chr_5, showed highest transcript levels of peridermal tissues in both studies. Taken together, it is likely that the QTL region on chr_4 plays a major role in carrot PA production. Nevertheless, the situation that seven out of the 12 QTLs are associated with FAD2 candidate genes, support the suggested importance of the FAD2 family on the PA biosynthesis in Apiaceae. Further functional and biochemical studies are needed to identify the most relevant FAD2s. Even beyond identifying FAD2 and CER candidate genes for QTLs identified in this study, more genes involved in PA biosynthesis might be identified elsewhere in the carrot genome. Since the PAs in this study are related in terms that they represent compounds produced at different steps in the same biosynthetic pathway, it is also possible that a single regulatory gene like a transcription factor affects the compounds produced in this pathway.

Implications for carrot breeding
Bitterness is considered as an undesirable taste of carrot roots, which can cause consumer rejection and is one of the main reasons for low preference scores in sensory evaluations of carrots [13]. It is a very complex quality trait because numerous chemically different compounds may contribute to bitter taste. Potential bitter compounds in carrot are volatile mono-and sesquiterpenes, PAs, phenylpropanoids, and isocoumarins. Schmid et al. [8] recently listed 14 known bitter off-taste compounds including the major PAs FaOH and FaDOH. In the study of Le Clerc et al. [33] the total PA content was closely related to bitterness, and the highest quantities accumulated in the most bitter genotypes, whereas the lowest amounts were measured in the least bitter genotypes. There is some evidence from quantitative chemical analyses combined with sensory analysis that FaDOH is highly correlated with bitterness, whereas FaOH is not [7,13]. On the other hand, several in vitro studies have confirmed that FaOH is one of most cytotoxic PAs in Apiaceae vegetables and, according the current state of knowledge, has a higher bioactivity than FaDOH [19]. A better understanding of the genetics of the PA levels present in carrot roots might support breeding carrot cultivars with low bitterness but high health potential for the consumers. To reach this goal it will be necessary to reveal the genes that control the decisive steps in the complex PA biosynthesis pathway, i.e. the formation of FaDOH. Carrot chemotypes with acceptable amounts of bioactive PAs may contribute significantly to the known positive effects of carrots on human health.

Conclusions
The aim of the current study was to dissect the complex genetic control of PA accumulation in carrot roots. We used a carrot F 2 family derived from a carrot wild relative rich in PAs for SNP-based QTL mapping and detected several major QTLs for FaOH and FaDOH with high LOD values on chromosomes 4 and 9. To study the association of these QTLs with FAD2 candidate genes known to be involved in PA biosynthesis, we compared the genomic positions of FAD2 gene models with QTL intervals and found significant relationships, such as the putative involvement of a known and partly functionally characterized six-FAD2 gene cluster located on carrot chromosome 4 which contain acetylenase genes. To discover other putative candidate genes from the plant fatty acid metabolism, we performed a first inventory of CER1 genes which were recently reported to be putatively involved in the production of FaDOH in tomato. The genetic association of three putative CER1 decarbonylase candidates with the strongest QTLs on chromosome chr_9 might be a first indication for this hypothesis. Our finding, that more or less functionally characterized carrot genes from the plant fatty acid metabolism are significantly associated with major QTLs for key PAs, will facilitate future functional gene studies and a further dissection of the genetic factors controlling PA accumulation. The results of this research are considered to have a positive impact on carrot breeding programs aiming at lowering or increasing PA concentrations and PA patterns, dependent on the requirements of the consumers.

Plant material and sample preparation
F 2 population P11054 (called in this study 'CA') was derived from a single F 1 plant out of a cross between a cultivated carrot inbred line '345B' (parent 'P_345B'; proprietary BASF) and an inbred from Daucus carota ssp. commutatus (parent 'P_1870'). Both parental inbred lines were produced at Nunhems Netherlands BV (Nunhem, The Netherlands). Seeds from the original D. c. commutatus accession no. JKI-1870 are available from the carrot seed repository of Julius Kühn-Institute (JKI) upon request (corresponding author). The F 2 population CA was chosen based on a pilot test with PA content measurements (spring 2020), including the parental lines (6 individuals each) and a small subset of 9 individuals from F 2 population CA.
For the main experiment F 2 population CA was sown in the field in May 2020, grown during the summer and harvested in October 2020 at the BASF research station in Nunhem (Limburg, Netherlands). About 15% of the plants in the field showed to bolt. A total of 550 F 2 individuals were evaluated in the field and 400 nonbolted F 2 individuals were selected for further PA content measurements. Next 80 bolted F 2 individuals were sampled, but excluded from further analysis, as the roots were less developed, possible hampering reliable PA content measurements. For PA analysis of the F 2 plants three plugs were excised from an individual carrot root at top, middle and bottom position using a cork borer (∅ 8 mm, depth 3 mm). These three plugs were then pooled for PA analysis. Plant material was shock frozen in liquid nitrogen immediately after harvest and stored at − 80 °C until freeze-drying.
A pilot test with PA content measurements was carried out to identify parental lines differing in PA content and to prove if there is sufficient phenotypic variability amongst the individuals of the F 2 progeny. For the pilot test a slightly modified sampling method called 'PPX' was used, because some roots of the parental line P_1870 were extremely thin (Additional file 2: Fig. S1) and therefore it was not possible to sample a 3 mm-thick and 8 mm-in-diameter plug for these roots. For PPX sampling the root was first cut longitudinally into two halves and the PPX sample (a plug cylinder consisted of periderm, phloem and xylem from a half of the root) was taken by a 8-mm cork-borer. The samples were shock frozen in liquid nitrogen immediately after harvest and stored at − 80 °C until PA analysis and expression analysis of candidate genes.

Construction of a SNP-based linkage map and QTL analysis
DNA of 400 CA F 2 plants was extracted from dried young leaflets using LGC/SBeadex tm plant DNA purification kit (standard protocol). Genotyping was performed with a proprietary SNP array. A dataset, comprised of 374 F2 individuals and 705 polymorphic literature markers [40] and 8 proprietary SNP markers, was used for genetic mapping. The SNP scores were translated to parental scores, with the A genotype for homozygous P_345B parent allele, B genotype for homozygous P_1870 parent allele, H for heterozygous genotype and U for undetermined genotype. For construction of the genetic linkage map Joinmap 5.0 software [55] was used with standard settings. Markers were grouped at a recombination frequency threshold of 0.25 into nine linkage groups, which were renamed to their representing chromosomes (chr_1 until chr_9). Maximum Likelihood (ML) mapping was used to calculate the genetic distances. After the calculation overlapping genetic positions were pruned, leaving a genetic map only represented with unique genetic positions. The QTL analysis was conducted in R 3.6.2, using R/ qtl package [56]. Interval Mapping (IM) and Composite Interval Mapping (CIM) were used for a preliminary QTL detection, followed by a "scantwo" two-dimensional scan to detect possible QTL interactions. For each analysis, 5000 permutations were performed (n.perm = 5000). The significance level was set to 95% (alpha = 0.05). Final QTL models were made with FitQTL and LODINT with a 2-LOD drop was used to determine the confidence intervals.

Expression analysis of FAD2 and CER1/3 candidate genes
The tissue-specific expression analysis of candidate genes was carried out with the purple cultivar ' Anthonina' (AN; Seminis, USA), the orange cultivar 'Presto' (PR; Vilmorin, France) and a selected orange carrot breeding line (BRL; Nunhems BV, Netherlands). For the expression study seeds were sown and cultivated in 19 cm/30 cm W/H plastic pots in a sandhumus mixture (v/v 3/1) under optimized greenhouse conditions at 25/20 °C D/N and 16 h photoperiod until harvest. Samples from leaves, petioles, root periderm and mixed root phloem/xylem were taken from three individual plants about 100 days after sowing, immediately shock frozen and stored at − 80 °C until RNA isolation. Total RNA was isolated from from leaf, petiole, periderm, and the mixture of phloem and xylem of carrot cultivars AN, BRL, and PR. RNA was extracted from 80 to 100 mg plant material utilizing innuPREP PlantRNA Kit (Analytik Jena, Jena, Germany) with an additional DNAse treatment by innuPREP DNase I Digest Kit (Analytik Jena), according to the manufacturer's instructions. First-strand cDNA was synthesized by Revert-Aid First Strand cDNA Synthesis Kit (Thermo Scientific, Massachusetts, USA) following the