Genome-Wide Identification and Transcriptional Expression Profiles of the F-box Gene Family in Common Walnut ( Juglans regia L . )

The common walnut (or Persian walnut), Juglans regia L., is an economically important temperate tree species valued for both its edible nut and high-quality wood. F-box gene family members are involved in plant development, which includes regulating plant development, reproduction, cellular protein degradation, response to biotic and abiotic stresses, and flowering. However, in common walnut (J. regia), there are no reports about the F-box gene family. Here, we report a genome-wide identification of J. regia F-box genes and analyze their phylogeny, duplication, microRNA, pathway, and transcriptional expression profile. In this study, 74 F-box genes were identified and clustered into three groups based on phylogenetic analysis and eight subfamilies based on special domains in common walnut. These common walnut F-box genes are distributed on 31 different pseudo-chromosomes. The gene ontology (GO), Kyoto Encyclopedia of Genes and Genomes (KEGG), and microRNA profiles showed that the F-box gene family might play a critical role in the flowering of common walnut. The expressions were significantly higher in female flowers and male flowers compared with leaf and hull tissues at a transcriptome level. The results revealed that the expressions of the F-box gene in female flowers were positively correlated with male flowers, but there was no correlation between any other tissue combinations in common walnut. Our results provided insight into the general characteristics of the F-box genes in common walnut.


Introduction
The ubiquitin-proteasome pathway, which involves the F-box protein, is one of the most important biological regulatory systems.The F-box protein is also as a component of complexes involved in the substrate recognition subunit of Skp1-Cullin1-F-box (SCF) ubiquitin-ligase [1][2][3][4].Recent studies indicated that the F-box gene is an important factor in the regulation of plant growth and development and response to stress [5][6][7].The F-box protein contains a WD repeat, leucine zipper, tetratricopeptide repeats (TPRs), Kelch and ring finger structures, and zinc finger structures [2,8].
A total of 38 F-box genes were found in humans, whereas the common fruit fly only contains 22 F-box genes [2].However, the number of F-box gene family members in plants is much higher than that of animals [23,24].It was identified that model plants of Arabidopsis contain 694 F-box genes [23].Important crops also contain F-box genes-for example, rice, maize, soybean, and chickpea contain 678, 509, 359, and 285 F-box genes, respectively [25][26][27][28].The same applies to perennial fruit crops, such as apples and pears, which contain 517 and 226 F-box genes, respectively [24,29], as well as perennial woody plants, such as Populus trichocarpa Torr.& A.Gray ex.Hook., apple, and pear, which contain 320, 517, and 226 F-box genes, respectively [24,29,30].The number of F-box genes of woody plants and herbaceous annual plants (Arabidopsis thaliana (L.) Heynh., rice, maize, and soybean) has high variation [24][25][26][27]29,30].Under abiotic stresses, the expression profiles showed that the F-box gene family members play a crucial role in stress responsive pathways [25,28,31].A total of 972 F-box genes were found in Medicago (Medicago truncatula Gaertn.), and most of the F-box genes of this species could respond to salt and heavy-metal stresses [31].At least 43 F-box genes were found to be differentially expressed in rice seedlings subjected to different abiotic stress conditions.The F-box genes had differential expression patterns in various chickpea tissues, as well as under abiotic stress conditions [28].Furthermore, the expression of several F-box genes was also influenced by light in rice [25].In apple (Malus domestica Borkh.) and Japanese pear (Pyrus pyrifolia Nakai), since each S haplotype contains two or three related genes, the genes were named SFBB for S-locus F-box brothers.The SFBB genes were specifically expressed in pollen, and variable regions of the SFBB genes experienced positive selection [32].Many Prunus species, including sweet cherry and Japanese apricot, of the Rosaceae family, display an S-RNase-based gametophytic self-incompatibility (GSI).An F-box protein is encoded by a gene located in the S locus region, named SFB, and it was found that there were two self-compatible (SC) haplotypes, S 4' and S f of Prunus, which caused a pollen-part mutant (PPM).The Sf of Japanese apricot was also considered to be a PPM.Both were examined and it was found that SFB was the pollen S gene in GSI in Prunus [33]; an F-box gene named SLF (S-locus F-box) was specifically expressed in pollen, but not in the styles or leaves [34].Four additional alleles (SFB1, SFB2, SFB4, and SFB5) were cloned from sweet cherry (P.avium) and examined, and they were found to have the function of allele specificity of the GSI reaction [35].In Japanese pear (Pyrus pyrifolia), the mutant haplotype S 4sm lacking SFBB1-S 4 caused the pollen to be rejected by pistils with an otherwise compatible S 1 , while it was accepted by other non-self pistils.Moreover, the S 5 haplotype encoded a truncated SFBB1 protein, even though S 5 pollen was accepted normally by pistils with S 1 and other non-self haplotypes [36].The various subfamilies of the F-box gene family were identified in different plants.The F-box genes of Arabidopsis were classified into five subfamilies [23], while there were nine in chickpea [28], 10 in rice [25], 15 in maize [26], three in Medicago [30], and 12 in pear [29].The huge size of the F-box gene family was identified in many plants, which indicated that it evolved through duplication events [23,25,31].In terms of the gene family expansion, this took place through whole-genome duplications, small-scale segmental duplications, local tandem duplications, or combinations of these possibilities [23,25,29].The F-box genes of Medicago probably expanded due to localized gene duplications [31].The dispersed and tandem duplication evolved at a high rate in pear [29].In maize, the expansion of F-box genes was mainly because of tandem and segmental duplication events [27], and, in rice, the expansion might have been due to localized gene duplications [25].The contributions made by segmental and tandem duplications in the expansion of the F-box gene family in chickpea were also examined [28], and whole-genome duplication and dispersed duplication made a major contribution to F-box family expansion [25,29].
Juglans regia L., a diploid (2n = 32) walnut species, is known as Persian, English, or common walnut.It is native to the mountainous regions of central Asia [37].Walnuts and butternuts (Juglans) are known for their edible nuts and high-quality wood [38,39].It is an ecologically important tree species valued for both its nuts and wood since ancient times [39,40].J. regia is diploid monoecious and heterodichogamous.It is wind-pollinated and highly heterozygous [40].There is no previous study regarding the F-box gene in common walnut; comprehensive information and functional characterization of the F-box gene family of common walnut (J.regia) is still unclear, especially the expression profiles in male and female flowers.[41] To obtain the genes belonging to the F-box gene family of common walnut, a genome-wide analysis was performed in this study, where the gene structure, phylogenetic tree, chromosomal location, and conserved domains were examined.Additionally, to investigate the function of the F-box gene family of common walnut, the Kyoto Encyclopedia of Genes and Genomes (KEGG) pathway, expression profiles, protein domains, and promoter predictions are presented, as they constitute useful information for the F-box gene family.Importantly, the expression patterns of F-box genes in different common walnut tissues with public transcriptome data were examined.To better understand whether the F-box gene may play an important role in flowering, we sampled and examined the expression level in female and male flowers, which showed that the F-box genes of common walnut were consistent with flowering.

Bioinformatics Analysis of Putative F-box Proteins from J. regia
The whole-protein sequences of common walnut were downloaded from the NCBI (National center for biotechnology information) database (https://treegenesdb.org/FTP/Genomes/ Jure/v1.4/annotation/).Arabidopsis F-box gene family members were downloaded from the Arabidopsis information resource website (TAIR, https://www.arabidopsis.org/index.jsp).We used Arabidopsis F-box protein sequences as query sequences to search against common walnut protein sequences using a local basic local alignment search tool (BLAST), considering those with an E-value less than 1 × 10 −10 as common walnut F-box protein sequences.We used a profile hidden Markov model (HMM) implemented with default parameters in HMMER v3.2.1 for Windows (http://hmmer.org/download.html/)to search for common walnut F-box proteins as common walnut proteins with the F-box domain in the protein family (Pfam) database (http://pfam.xfam.org/).Each of the retrieved sequences was manually checked based on the features of the F-box domain structure [29].

F-box Protein Alignment, Phylogenetic Analysis, Pfam Domain Detection, and Chromosome Location Analysis of Common Walnut F-box Genes
The complete common walnut F-box protein sequences were aligned by MEGA7.0 with default settings [42].
Subsequently, MEGA7.0 software (Molecular evolutionary genetics analysis, Pennsylvania State University: State College, PA, USA) was employed to construct an unrooted phylogenetic tree based on alignments using the neighbor-joining (NJ) method [42,43].The neighbor-joining phylogenetic trees were constructed with pairwise deletion of 1000 bootstraps and a Poisson model [44].All of the above 74 F-box protein sequences were detected in the search for potential domains contained in each sequence using the Pfam web server (http://pfam.xfam.org/),and those domains found by Pfam (The large collection of protein families database) were also detected by the SMART (Simple modular architecture research tool) program (http://smart.embl-heidelberg.de/) with an E-value cutoff of 1.0 to validate the final result.According to the special domains found in those F-box protein sequences, we classified these sequences into different subfamilies, and their distribution on the 31 common walnut pseudo-chromosomes was visualized using MapChart (Wageningen university: Wageningen, Netherlands, version 2.2) (http://mapchart.software.informer.com/2.2/)with the default parameters.

The KEGG Pathway, Promoter, Gene Structure, and Motif Analysis of J. regia F-box Genes
The common walnut full length of F-box genes was submitted to online software KEGG (https://www.kegg.jp/) to acquire the KEGG (Kyoto encyclopedia of genes and genomes) (Kyoto University: Kyoto, Japan, version 1.0) terms.The 1500 bp upstream of the F-box genes of each species was used to perform cis-element analysis in PlantCARE (Plant cis-acting regulatory element) with default parameters [44].To analyze the number of gene introns, we used the coding sequences (CDS) of all the candidate common walnut F-box genes to BLAST against the J. regia genome sequences with a top E-value less than 1 × 10 −20 .The whole CDS database was downloaded (https://treegenesdb.org/FTP/Genomes/Jure/v1.1/annotation/).The exon-intron structure was illustrated using the online gene structure display server program (http://gsds.cbi.pku.edu.cn/).Related walnut gene sequences were searched on the genome browser (https://www.ncbi.nlm.nih.gov/genome/).The motifs were identified using the multiple motif alignment for motif elicitation (MEME) program with default parameters [45].The parameters were as follows: the maximum number of motifs was set to 20, and the optimum motif width was set to 30-50.
2.4.Synteny Analysis, and Calculating Ka, Ks, and Ka/Ks Values of Duplicated Gene Pairs BLASTP was carried out to identify potential homologous gene pairs (E < 1 × 10 −5 , top 5 matches) across multiple genomes.Then, these homologous pairs were used as the input for MCScanX to identify syntenic chains [46].MCScanX was further used to identify the duplicate gene pairs derived from whole-genome duplication (WGD)/segmental and tandem duplication, and other types of gene pairs.The Ka/Ks value was the ratio between the number of nonsynonymous substitutions per nonsynonymous site (Ka) and the number of synonymous substitutions per synonymous site (Ks).To estimate the type of selection F-box genes are under, the ratio of the rates of nonsynonymous to synonymous substitutions (Ka/Ks) of all sister pairs was calculated for each terminal branch of the phylogenetic trees of J. regia using DnaSP software (University of Barcelona, Barcelona, Spain, version 5.0) with default parameters [47].To confirm the selection pressure, a Ka/Ks ratio greater than 1, less than 1, and equal to 1 represented positive selection, negative selection, and neutral selection, respectively [48].For each gene pair, the Ks value was used to estimate the divergence time in millions of years based on a rate of 6.1 × 10 −9 substitutions per site per year, and the divergence time (T) was calculated as T = Ks/(2 × 6.1 × 10 −9 ) × 10 −6 million years ago (Mya) [49].We did a maximum test of Ks values for the F-box gene family to discover the T belonging to common walnut.

Plant Materials, Treatments, and Collections
To assess the expression of common walnut F-box genes, we sampled a total of 12 fresh flowers, specifically nine fresh female flowers and three male flowers from common walnut individual trees which were grown on the Qinling Mountains, collected at different development times (Table S1, Supplementary Materials).Each tissue was collected from equivalent positions on the same tree.For each female flower development time, we collected female inflorescence as three, three, two, and one biological replicates from an adult tree growing on the Qinling Mountains on 10 April, 15 April, 22 April, and 1 May, respectively (Table S1, Supplementary Materials).For each male flower development time, we collected one male inflorescence from an adult tree (around 15 years old) growing on the Qinling Mountains on 10 April, 11 April, and 2 May (for details on flower tissue collection, see Table S1, Supplementary Materials).In this study, for female flower development stages, the first opening of female flowers occurred on 10 April, full female flowers occurred on 15 April and 22 April (specifically, the stigma was not fully developed on 15 April, but was on 22 April), and the end date of female flowers occurred on 1 May.For male flowers, the three respective stages occurred on 10 April, 11 April, and 2 May (Table S1, Supplementary Materials).We put the fresh female flowers and male flowers into liquid nitrogen prior to storage at −80 • C until use [38] (Table S1, Supplementary Materials).Total RNA was isolated using an RNA-prep Pure Plant Kit (Tiangen, Beijing, China) [32,51,52].Libraries for RNA-seq were produced using NEBNext Ultra RNA Library Prep Kit (NEB, Beverly, MA, USA).Paired-end sequencing was performed on the Illumina HiSeq2500 platform to generate 100-bp reads with default parameters with Novogene Bioinformatics Technology Co., Ltd., Beijing, China (www.novogene.cn).The de novo transcriptome was assembled using default settings in Trinity [50] based on the well genome reference of J. regia [36].To further characterize the different temporal and spatial gene expression patterns of the F-box gene family, we analyzed RNA sequencing (RNA-seq) data.The transcriptome sequencing datasets were deposited in the BioProject identifier (ID) PRJNA358784, which was used to perform RNA-seq of different J. regia wild female flowers and male flowers.We analyzed the total RNA-seq data of the female flowers and male flowers at the germination initial flowering stages (Table S1, Supplementary Materials).We quantified these gene expression levels based on their fragments per kilobase of exon per million reads mapped (FPKM) values using Cufflinks with default parameters [53] and represented these results using HemI 1.0 software with default parameters [45,54].For the expression level of several F-box genes with error bars, the ggplot2 R package was used [55].Differential gene expression (DESeq) analysis was performed using the DESeq R package (1.10.1).Genes with an adjusted p-value <0.05 found by DESeq were assigned as differentially expressed.We normalized the number of reads for the differential gene expression from the RNAseq data [54].Unigenes were annotated using data from the NCBI gene ontology (GO) and protein family (Pfam) databases.GO annotations were performed in Blast2GO v2.5 with a cutoff E-value of 1 × 10 −6 [56].

Identification, Classification, and Genomic Distribution of F-box Genes in J. regia
To identify the F-box genes from common walnut, an HMMER (biosequence analysis using profile hidden Markov models) search was performed against a local genome database using the seed files for the F-box (PF00646), F-box-like (PF12937), F-box-like 2 (PF13013), FBA (PF04300), FBA_1 (PF07734), FBA_2 (PF07735), FBA_3 (PF08268), and FBD (PF08387) domains.We acquired 111 candidate F-box genes from the common walnut whole genome.Those 111 candidate protein sequences were submitted to the SMART online software and Pfam online software to check the presence of the F-box domain.In total, in this study, 74 F-box genes were detected in common walnut (Table S2, Supplementary Materials).Based on the similar domain in which common walnut F-box genes were identified, the F-box genes were classified into eight subfamilies (Figure 1a).The most abundant F-box genes (34, 45.9%) were those with a similar known functional domain FBA_1, classified as the FBA_1 subfamily.The other 40 genes displayed the presence of one or more known functional domains and were classified as F-box subfamily (15, 20.3%) which contained the F-box domain, the F-box-like subfamily (14, 19.1%) which had F-box-like repeats, the FBD subfamily (3, 4.2%) which contained FBD domains, the FBOX subfamily (3, 4.2%) which had FBOX domains, the Kelch subfamily (3, 4.2%) which contained Kelch domains, and the Amn1 subfamily (2, 2.2%) which had AMN1 (Antagonist of mitotic exit network protein 1) domains (Figure 1b).We found a total of five gene pairs of F-box gene family members (Jure_21010.t1and Jure_20752.t1;Jure_08213.t1 and Jure_08214.t1;Jure_20752.t1 and Jure_21010.t1;Jure_27447.t1 and Jure_30289.t1;Jure_30289.t1 and Jure_27447.t1)(Table S3, Supplementary Materials).Interestingly, the Ka/Ks ratios of these five F-box sister pairs were less than 1, and divergence was estimated to be 100 Mya (Table S3, Figure S1, Supplementary Materials).The maximum number of F-box genes detected on pseudo-chromosome 34 (6) (Figure 2; Table S4, Supplementary Materials).The results showed that F-box genes were randomly distributed on the pseudo-chromosomes of common walnut.In all 74 F-box genes, one gene pair of F-box gene family members (Jure_08214.t1and Jure_08213.t1)exhibited tandem duplication and three gene pairs (Jure_06252.t1and Jure_12046.t1;Jure_25820.t1 and Jure_06472.t1;Jure_11670.t1 and Jure_07788.t1)exhibited segmental duplication (Figure 2).

Phylogenetic Relationship, Gene Structure, and Protein Domains of the F-box Gene Family of Common Walnut
Based on the completed alignment of the sequences of F-box genes, they were clustered into three groups (Figure 1).To compare the structural components of 74 F-box genes, their structures including exons and introns were mapped (Figure 3c).The analysis of F-box gene structure revealed great variation among the genes.It was observed that the exon number varied from 1 to 23 in common walnut F-box transcripts.The maximum number of exons was found in Jure 09480.t1(23 exons), and the minimum number of one exon was found in 20 F-box genes.Regarding the remainder of genes, two exons were found in seven F-box members, three exons were found in four F-box members, four exons were found in two F-box members, and five exons in two F-box members (Figure 3).Using the available information of the Pfam database, the exact number and position of domains was identified for each common walnut protein (Figure 3b).Conserved domain and motif analysis showed that Motif 2 existed in all F-box genes in common walnut (Figure 3b).Motifs 2 and 1 were typical domains represented in the FBA_1 subfamily; Motif 17 was a typical motif for the FBOX subfamily; Motifs 2, 1, and 3 were typical for the F-box and the Kelch subfamily; Motif 12 was typical for the F-box-like subfamily; Motif 2 was typical for the FBD subfamily; and Motif 5 was typical for the AMN1 subfamily (Figure 3b).These results suggested that all F-box genes contained at least one

Phylogenetic Relationship, Gene Structure, and Protein Domains of the F-box Gene Family of Common Walnut
Based on the completed alignment of the sequences of F-box genes, they were clustered into three groups (Figure 1).To compare the structural components of 74 F-box genes, their structures including exons and introns were mapped (Figure 3c).The analysis of F-box gene structure revealed great variation among the genes.It was observed that the exon number varied from 1 to 23 in common walnut F-box transcripts.The maximum number of exons was found in Jure 09480.t1(23 exons), and the minimum number of one exon was found in 20 F-box genes.Regarding the remainder of genes, two exons were found in seven F-box members, three exons were found in four F-box members, four exons were found in two F-box members, and five exons in two F-box members (Figure 3).Using the available information of the Pfam database, the exact number and position of domains was identified for each common walnut protein (Figure 3b).Conserved domain and motif analysis showed that Motif 2 existed in all F-box genes in common walnut (Figure 3b).Motifs 2 and 1 were typical domains represented in the FBA_1 subfamily; Motif 17 was a typical motif for the FBOX subfamily; Motifs 2, 1, and 3 were typical for the F-box and the Kelch subfamily; Motif 12 was typical for the F-box-like subfamily; Motif 2 was typical for the FBD subfamily; and Motif 5 was typical for the AMN1 subfamily (Figure 3b).These results suggested that all F-box genes contained at least one typical

KEGG Analysis, and Cis-Acting Regulatory Elements in the Promoter of the F-box Gene Family of Common Walnut
KEGG enrichment for common walnut F-box genes was determined; a total of six terms were found, which included plant hormone signal transduction, genetic information processing, signal transduction, folding, sorting and degradation, environmental information processing, and 04120 ubiquitin-mediated proteolysis.It was obvious that plant hormone signal transduction plays a critical role in F-box genes in common walnut (Figure S4, Supplementary Materials).Otherwise, the F-box genes had a specific KEGG enrichment term, which was ubiquitin-mediated proteolysis (Figure S4, Supplementary Materials).To further clarify the gene function and transcriptional regulation mechanism of F-box genes, we amplified the 1500 bp upstream of the F-box genes and analyzed their cis-elements.We detected 23 types of cis-elements of the F-box gene family (Figure S3, Supplementary Materials).The most abundant cis-elements of F-box genes were part of a conserved DNA module array (CMA3), and the cis-elements could be classified into two main types, which contained light response elements and binding elements (Figure S3, Supplementary Materials).

Expression Profile Analysis of Walnut F-box Genes
To further reveal the expression patterns of F-box family genes in common walnut, public transcript data, transcript sequencing data, and digital expression profiles were investigated in

KEGG Analysis, and Cis-Acting Regulatory Elements in the Promoter of the F-box Gene Family of Common Walnut
KEGG enrichment for common walnut F-box genes was determined; a total of six terms were found, which included plant hormone signal transduction, genetic information processing, signal transduction, folding, sorting and degradation, environmental information processing, and 04120 ubiquitin-mediated proteolysis.It was obvious that plant hormone signal transduction plays a critical role in F-box genes in common walnut (Figure S4, Supplementary Materials).Otherwise, the F-box genes had a specific KEGG enrichment term, which was ubiquitin-mediated proteolysis (Figure S4, Supplementary Materials).To further clarify the gene function and transcriptional regulation mechanism of F-box genes, we amplified the 1500 bp upstream of the F-box genes and analyzed their cis-elements.We detected 23 types of cis-elements of the F-box gene family (Figure S3, Supplementary Materials).The most abundant cis-elements of F-box genes were part of a conserved DNA module array (CMA3), and the cis-elements could be classified into two main types, which contained light response elements and binding elements (Figure S3, Supplementary Materials).

Expression Profile Analysis of Walnut F-box Genes
To further reveal the expression patterns of F-box family genes in common walnut, public transcript data, transcript sequencing data, and digital expression profiles were investigated in common walnut tissues including male and female flowers (Figure 4; Table S5, Supplementary Materials).For female and male flowers, we collected nine periods of female flowers and three periods of male flowers; the period from April to May was a key period of flower development for the flowering of common walnut, so we collected these tissues.Of course, we could notice that the members of the walnut F-box gene family were not much different within the period.The difference was that there was no obvious increase in the expression level with the developmental period.Based on phylogenetic analysis and expression level, we found a clear pattern that Group A had a higher expression in female and male flowers than other tissues; the genes which were classified into Group B were both lowly expressed in all tissues of common walnut; in addition, for the genes classified into Group C, the F-box gene family members (Jure_29522.t1,Jure_10126.t1, and Jure_30338.t1) were highly expressed in other tissues, including those of vegetative bud, embryo, somatic embryo, leaves, young leaf, immature hull, hull cortex, hull peel, hull dehiscing, and root (Figure 4).For the F-box gene family, we were most interested in those which played an important role during common walnut male and female flower development and ripening (Figure 4).Expression profile analysis showed that some F-box genes had a higher expression in multiple tissues.For instance, Jure_07950.t1,Jure_20044.t1,Jure_07156.t1,Jure_11456.t1,Jure_06725.t1,Jure_21675.t1, and Jure_26807.t1 were highly expressed in male and female flowers, especially Jure_05249.t1 and Jure_02219.t1 which had a quite different expression in male and female flowers, Jure_05249.t1 which had a high expression in female flowers, and Jure_02219.t1 which had a low expression in male flowers, and we found that Jure_05249.t1 had a special domain which was FBOX and Jure_02219.t1 had a special domain which was F-box-like (Figure 4).During the female flower ripening, it was shown that some genes had an increased expression level with female growing, for example, Jure_21178.t1,Jure_11456.t1,Jure_07156.t1,Jure_07788.t1,Jure_14341.t1,Jure_21675.t1,Jure_06725.t1,Jure_19792.t1,Jure_05249.t1,Jure_26563.t1,Jure_13358.t1, and Jure_16679.t1.In male flowers, Jure_10126.t1,Jure_30338.t1,Jure_26563.t1, and Jure_07156.t1 had a higher expression level on 10 April than in the other two periods.Overall, in the reproductive tissues (male and female flowers) and vegetative tissues (vegetative bud, embryo, somatic embryo, leaves, young leaf, immature hull, hull cortex, hull peel, hull dehiscing, and root), a total of 13 members (Jure_07950.t1,Jure_21178.t1,Jure_07156.t1,Jure_07788.t1,Jure_14341.t1,Jure_21675.t1,Jure_06725.t1,Jure_19792.t1,Jure_06252.t1,Jure_02219.t1,Jure_05249.t1,Jure_26563.t1) of the F-box gene family were highly expressed in reproductive tissues, while those in other vegetative tissues were low in expression, and three F-box genes (Jure_29522.t1,Jure_10126.t1,Jure_30338.t1) were higher in reproductive tissues than in nutritive tissues (Figure 4).
Based on the different domains of F-box subfamilies, including the FBA-1 subfamily, F-box subfamily-box-like subfamily, FBD subfamily, FBOX subfamily, Kelch subfamily, and AMN1 subfamily, in female stages, all F-box genes of common walnut had a high expression level compared to other stages, followed by those in male flower tissues, where the F-box genes in leaf and hull had a low expression level.Notably, different subfamilies had quite different expression levels; for example, the F-box genes which contained the FBA-1 domain had a high expression in the reproductive tissues compared to the nutritive tissues, indicating that the FBA-1 domain might play an important role in flowering.In the FBA-1 subfamily, we could notice that three genes (Jure 21178.t1,Jure 11456.t1,and Jure 07156.t1)had a high expression level in female and male flowers, with values even reaching 100 (especially high values), followed by six genes (Jure 07950.t1,Jure 06150.t1,Jure 00419.t1,Jure 07751.t1,Jure 18187.t1,and Jure 07788.t1)which had a high expression level contributing in the FBA-1 domains.We found that higher expression levels of three genes (Jure 29522.t1,Jure 10126.t1,and Jure 30338.t1)were detected in the nutritive tissues (leaf and hull) than in the reproductive tissues of common walnut.In the FBD, FBOX, Kelch, and AMN1 subfamilies, higher expression levels were detected in the reproductive tissues (male and female flowers) than in the nutritive tissues of common walnut.In order to compare the differences between the F-box gene expression level in reproductive tissues and vegetative tissues, we selected male and female flowers, young leaves, and hull with biological replicates to create a clear expression pattern, as shown in Figure 5. Transcript expression analysis of different tissues of common walnut (male flower, female flower, young leaf, and hull) showed that the F-box gene family expression level was high in female flowers, and male flowers had a similar pattern, while the expression level was low in leaf and hull (Figure 5).However, the linear relative regression of the F-box gene family of common walnut was different in male flowers, female flowers, leaf, and hull (Figure 6).The results revealed that the expression of F-box genes in male flowers was positively correlated with female flowers in common walnut (Figure 6a).However, there was no correlation of expression levels between leaf and female flowers, hull and female flowers, leaf and male flowers, hull and male flowers, and vegetative tissues and germinal tissues (Figure 6).There was no significant positive or negative correlation between the expression level of the F-box gene in leaves and the expression level in female flowers; this was also the case in hull and female flowers, leaves and male flowers, and hull and male flowers.We averaged the expression values of vegetative and reproductive tissues at various stages and performed regression analysis, which did not show an obvious positive or negative correlation.In order to compare the differences between the F-box gene expression level in reproductive tissues and vegetative tissues, we selected male and female flowers, young leaves, and hull with biological replicates to create a clear expression pattern, as shown in Figure 5. Transcript expression analysis of different tissues of common walnut (male flower, female flower, young leaf, and hull) showed that the F-box gene family expression level was high in female flowers, and male flowers had a similar pattern, while the expression level was low in leaf and hull (Figure 5).However, the linear relative regression of the F-box gene family of common walnut was different in male flowers, female flowers, leaf, and hull (Figure 6).The results revealed that the expression of F-box genes in male flowers was positively correlated with female flowers in common walnut (Figure 6a).However, there was no correlation of expression levels between leaf and female flowers, hull and female flowers, leaf and male flowers, hull and male flowers, and vegetative tissues and germinal tissues (Figure 6).There was no significant positive or negative correlation between the expression level of the F-box gene in leaves and the expression level in female flowers; this was also the case in hull and female flowers, leaves and male flowers, and hull and male flowers.We averaged the expression values of vegetative and reproductive tissues at various stages and performed regression analysis, which did not show an obvious positive or negative correlation.Jure_06725.t1,Jure_07950.t1,Jure_19792.t1, and Jure_11456.t1 were highly expressed in female and male flowers during all stages, and Jure_07788.t1,Jure_21178.t1,Jure_02219.t1,Jure_06252.t1,Jure_13358.t1,Jure_21675.t1,Jure_16679.t1, and Jure_05249.t1 were lowly expressed on 10 April in male flowers; Jure_07156.t1 and Jure_26563.t1 were especially high on 10 April in male flowers.We could notice that the F-box genes of common walnut did not have a similar trend to that with the plant growth; the F-box genes of common walnut had a rising expression (Figures 6 and 7).For male flowers, we found that two genes (Jure_07156.t1,Jure_26563.t1) had higher expressed levels on 10 April than other stages.For female flowers, some genes (Jure_06725.t1,Jure 07950.t1,Jure_19792.t1,Jure_11456.t1,Jure_07788.t1,Jure_21178.t1,Jure_02219.t1,Jure_06252.t1,Jure_13358.t1,Jure_21675.t1,Jure_16679.t1, and Jure_05249.t1) were expressed highly on 10 April (Figure 7).

(a) the regression analysis of expression level between male and female flower; (b) the regression analysis of expression level between leaf and female flower; (c) the regression analysis of expression level between hull and female flower; (d) the regression analysis of expression level between leaf and male flower; (e) the regression analysis of expression level between hull and male flower; (f) the regression analysis of expression level between nutrition tissues and vegative tissues.
Jure_06725.t1, Jure_07950.t1,Jure_19792.t1, and Jure_11456.t1 were highly expressed in female and male flowers during all stages, and Jure_07788.t1,Jure_21178.t1,Jure_02219.t1,Jure_06252.t1,Jure_13358.t1,Jure_21675.t1,Jure_16679.t1, and Jure_05249.t1 were lowly expressed on 10 April in male flowers; Jure_07156.t1 and Jure_26563.t1 were especially high on 10 April in male flowers.We could notice that the F-box genes of common walnut did not have a similar trend to that with the plant growth; the F-box genes of common walnut had a rising expression (Figures 6 and 7).For male flowers, we found that two genes (Jure_07156.t1,Jure_26563.t1) had higher expressed levels on 10 April than other stages.For female flowers, some genes (Jure_06725.t1,Jure 07950.t1,Jure_19792.t1,Jure_11456.t1,Jure_07788.t1,Jure_21178.t1,Jure_02219.t1,Jure_06252.t1,Jure_13358.t1,Jure_21675.t1,Jure_16679.t1, and Jure_05249.t1) were expressed highly on 10 April (Figure 7).S5 (Supplementary Materials).We used two or three biological replicates from the same organization in the same period in Table S5 (Supplementary Materials).

The Characteristics of the F-box Gene Family of Common Walnut
The present study identified 74 F-box genes from common walnut (Figure 1; Table S2,  S5 (Supplementary Materials).We used two or three biological replicates from the same organization in the same period in Table S5 (Supplementary Materials).

The Characteristics of the F-box Gene Family of Common Walnut
The present study identified 74 F-box genes from common walnut (Figure 1; Table S2, Supplementary Materials), compared to the higher number in plants such as Arabidopsis (672), M. truncatula (972), maize (359), and rice (687) [23,25,26,31].A previous study claimed that the number of F-box genes was significantly less than that of herbaceous plants in perennial woody plants [30], due to the selection pressure of herbaceous plants in a single growth cycle, resulting in many F-box genes in herbaceous plants [30].In this study, the number of F-box genes in common walnut was less than other studies identified from herbaceous annual plants, which was consistent with another previous study [30] (Figure 1).
The genomes of plants are different; for example, the maize genome is about 2300 Mb, the Arabidopsis genome is about 125 Mb, and the rice genome is about 389 Mb.However, common walnut genome is 667 Mb [36,[57][58][59][60][61].These plants contain F-box genes-672 in Arabidopsis, 359 in maize, 687 in rice, and 74 in common walnut.Comparative analysis suggested that maize, Arabidopsis, and rice had similar numbers of gene families [60,61].In terms of the percentage of each plant, the common walnut was 1.91%, Arabidopsis was 2.71%, maize was 2.03%, and rice was 2.21%.We noticed that the percentage was not consistent with the genome size; thus, we could speculate that the genome size was not the main reason determining the number of gene families [62] (Figure 1).

The Expansion and Evolution of the F-box Gene Family of Common Walnut
Gene families were most likely to choose tandem duplication and segmental duplication as forms of expansion [62].The duplication events were also a prospective which could explain the expansion of the F-box gene family of common walnut (Figure 2).M. truncatula's expansion was probably due to localized gene duplications [30], tandem duplications mainly existed in chickpea [28], whole-genome duplication and dispersed duplication occurred in pear [29], and tandem and segmental duplication events were responsible for the rise in the number of F-box genes of maize [26].In this study, the results showed that tandem duplications and segmental duplications were low-rate events in common walnut (Figure 2).Additionally, the Ka/Ks ratios of these five F-box sister pairs were less than 1 and divergence was estimated to be 100 Mya (Table S1, Figure S5, Supplementary Materials), but the Juglans' divergence time was 40 Mya [62], indicating that the F-box gene family was an original gene family which played a vital role in flowering.We found that, among the F-box gene family members, only one gene pair experienced tandem duplication events, and three gene pairs of F-box gene family members went through segmental events.These results indicated that the expansion of the F-box gene family of common walnut might be due to whole-genome duplication (WGD) events (Figure 2; Table S3, Supplementary Materials).
The F-box genes of common walnut were clustered into three main groups based on phylogenetic analysis (Figure 1).By contrast, based on the specific and special domains, a total of five subfamilies were identified in Arabidopsis [23], nine clusters were found in chickpea [28], three subfamilies were found in M. truncatula [30], 12 subfamilies were found in pear [29], 10 subfamilies were found in rice [25], and 15 subfamilies were found in maize [26].In this study, all F-box proteins in common walnut were classified into eight subfamilies (Figure 1).F-box proteins with the same or a similar domain organization were usually grouped together in the same branches (Figures 1  and 3b), indicating that these genes might have the same function, Motif 2 existed in the entire F-box gene family of common walnut, and it was proven that the F-box gene family was conservative in evolution (Figure 3a).
Gene structure is an important factor for gene family evolution [29,43].Intron positions always determine the gene coding sequence position and protein structure, and increased protein diversity through exon shuffling and alternative splicing causes an evolutionary advantage [63][64][65].The association of the intron phase with conservation at splice site sequences is related to the evolution of spliceosomal introns [66,67].Intron phase 0 indicates the highest conservation, intron Phase 1 also shows a high conservation, and intron Phase 2 shows the lowest conservation [68,69].In the case of the F-box genes in common walnut, almost all gene structures exhibited intron phase 0; thus, the F-box genes were conservative in evolution (Figure 3c).In conclusion, both analyses including motif and gene structure showed that F-box genes were conservative in evolution.

Function of the F-box Genes
Many F-box proteins were found to contain various protein-protein interaction domains at their C terminus [23].In Arabidopsis, there are 16 types (including one unknown type) of domains [23], and at least 15 types of specific domains were examined in rice [25].Fifteen types of domains were identified from M. truncatula [31] (Figure 1b).In Arabidopsis and rice, the number of some domains, such as FBA, LRR (Leucine-rich repeat protein), DUF (Protein of unknown function, DUF), and Kelch, is larger than that of other domains, such as WD40 (WD domain, G-beta repeat), JmjC, and LysM.In M. truncatula, four domains that were predicted in the F-box protein seem to not be species-specific in their conservation, including PP2 (Phloem protein 2), PAS (Signal transduction mechanisms)-Kelch, GSH-synth (C-terminal, alpha helical domain of the Glutathione S-transferase family) ATP, and ARM (armadillo repeat).In this study, 25 types of F-box proteins of common walnut were detected.We could speculate that it was precisely because the F-box protein family possessed such a large number of conserved domains that the F-box genes were relatively conservative in evolution (Figure S2, Supplementary Materials).In M. truncatula, the FBA domain (165) was the most abundant [31].The most abundant domains in the presence of ZmFBX proteins (37) were Kelch repeats [26].Kelch repeats exist in a large fraction of rice and Arabidopsis F-box proteins and appear to be the unique feature of plant F-box proteins [31].In this study, the FBA-1 domain was the most abundant compared to other domains, which is consistent with previous studies [23,30].
A large number Kelch domains exist in Arabidopsis and rice, and they appear more likely to be the unique feature of plant F-box proteins [31].In this study, three F-box proteins (Jure 04736.t1,Jure 22110.t1,and Jure 03801.t1)were identified with the Kelch domain at their C-terminal regions.In the phloem sap, there was a large number of phloem protein 2 (PP2), indicating that PP2 plays a crucial role in the phloem [68] (Figure 1).In Arabidopsis, there were 18 F-box proteins that had C-terminal homology to the squash lectin PP2, while Jure 24701.t1may detect glycosylated substrates in common walnut.Following a comparison of walnuts and Arabidopsis, it was found that Arabidopsis (18 F-box proteins) contained PP2, but, in common walnut, Jure 24701.t1might detect glycosylated substrates (Figure S1, Supplementary Materials).Regarding FBOX, a receptor for ubiquitination targets [69], 12 F-box proteins of common walnut (Jure_14341.t1,Jure_06150.t1,Jure_20752.t1,Jure_08035.t1,Jure_26807.t1,Jure_29344.t1,Jure_07950.t1,Jure_30289.t1,Jure_27447.t1,Jure_25967.t1,Jure_21010.t1, and Jure_27263.t1) had the FBOX domain in this study, indicating that these genes exhibited a ubiquitination function (Figure 1).Importantly, a total of three genes contained the F-box domains (Jure 29522.t1,Jure 10126.t1,and Jure 30338.t1)and had a higher expression level compared to the genes contained in other domains (Figure 6).AMN1 (antagonist of mitotic exit network protein 1) is a leucine-rich repeat (LRR) protein and a negative regulator of the signal transduction pathway MEN (mitotic exit network), and overexpression of AMN1 slows the growth of wild-type cells [70].A total of five genes (Jure_10960.t1,Jure_12046.t1,Jure_22525.t1,Jure_07055.t1, and Jure_06252.t1) had this domain and they might have a function connected to the right-handed beta helix region, which contains a parallel beta helix region that shares some similarity with pectate lyases (Figure 6).
Based on KEGG analysis, we could notice that the major pathway for the F-box genes of common walnut was plant hormone signal transduction, which was useful information (Figure S4, Supplementary Materials).These F-box proteins containing similar cis-elements might perform similar functions in rice and Arabidopsis.Taken together, these results suggested that the expression of F-box protein-coding genes was regulated by light, indicating light control of protein turnover in rice, which might be critical for several light-dependent cellular processes (Figure S3, Supplementary Materials).In this study, a comprehensive analysis was performed to investigate the expression patterns of F-box gene family genes in different common walnut tissues, including vegetative bud, embryo, somatic embryo, leaves, young leaf, immature hull, hull cortex, hull peel, hull dehiscing, and root (Figure 4).Interestingly, some specific gene clusters presenting high expression were found in different tissues, suggesting their close relationship with the development of the specific tissue.The expression pattern of F-box genes of Fabaceae was complex; the F-box genes were expressed differently in different tissues: in flowers, some genes were expressed highly, but the other genes exhibited low expression [27].F-box genes showed an increasing trend with pollen tube development, implying that these genes of F-box genes of pear played potential roles in pollen tube elongation [29].A clear pattern in rice was that only a few genes were highly expressed in root, leaf, young leaf, and seeding.The same situation is present in common walnut (Figure 4).Apparently, Group A had more F-box genes in the whole F-box gene family of common walnut (Figure 1), while a clear expression pattern was that the Group A genes had a higher expression level than other groups; this showed that more F-box genes of common walnut had a higher expression level in male and female flowers, implying that the F-box genes might play a critical role in flowering (Figure 4) [11,12].During the critical development period of walnuts, from April to May, there was no increase in the expression of the F-box gene family between walnuts, regardless of the period of female flower or male flower.In the three periods, only different genes had different expression levels, but they were not different at different times.Therefore, we speculate that this is because the walnut F-box gene family played an important role in the flowering and development process, so the key genes were expressed throughout the flowering period, and there was no difference in the developmental stage, consistent with previously reported research results (Figure 4).In chickpea, there was a clear expression pattern, which was that different group genes of the F-box gene family members had a special expression level in different tissues, with a group of genes showing a higher expression level in flower buds than other tissues, and several common walnut F-box genes showing tissue-specific expression profiles, exhibiting a high similarity with well-documented F-box genes in Arabidopsis and chickpea [23,28].In the FBA-1 subfamily, we could notice that three genes (Jure 21178.t1,Jure 11456.t1,and Jure 07156.t1)had a high expression level in female and male flowers, with values even reaching 100 (especially high values), followed by six genes (Jure 07950.t1,Jure 06150.t1,Jure 00419.t1,Jure 07751.t1,Jure 18187.t1,and Jure 07788.t1)having a high expression level, contributing in the FBA-1 domains; thus, we could speculate that the FBA-1 domain might be an important factor in the formation stages.These proteins contain pfam00646 at the N terminus, suggesting that they are effectors linked with ubiquitination (Figure 5).However, in the F-box subfamily, we found that higher expression levels of three genes (Jure 29522.t1,Jure 10126.t1,and Jure 30338.t1)were detected in the vegetative tissues (leaf and hull) than in the germinal tissues of common walnut (Figure 5).These genes (Jure_07950.t1,Jure_21178.t1,Jure_11456.t1,Jure_07156.t1,Jure_06725.t1,Jure_19792.t1,Jure_05249.t1, and Jure_26563.t1) were highly expressed in female and male flowers, showing a clear expression level in male and female flowers (Figure 6).These genes (Jure_06725.t1,Jure_07950.t1,Jure_19792.t1, and Jure_11456.t1) were highly expressed in the female and male flower stages at all times, indicating that these genes might have a vital role in flowering [11,12] (Figure 7).Based on the expression analysis, regression analysis, and the values for the F-box gene family of common walnut, it was found that the F-box genes might play a vital role in flowering (Figures 5-7).Some previous studies showed that F-box genes and mutants play an important role in the development of pollen tubes in woody plants.In apples, the F-box gene was named SFBB, which is specifically expressed in pollen tubes.In Rosaceae plants, such as sweet cherry and Japanese, the F-box gene was named SFB and plays an important role in the process leading to self-incompatibility. SLF in Prunus mume was also confirmed to be specifically expressed in pollen tubes by cloning the F-box gene.Alleles SFB1, SFB2, SFB4, and SFB5 in sweet cherry proved to play a self-incompatible effect by affecting the development of pollen tubes.Allele S4sm, lacking the SFBB1-S4 protein, caused no significant effect on pollen tubes, while the S5 haplotype encoding the SFBB1 protein could cause pistils to accept other genes [29,[35][36][37][38][39][40]; thus, there is strong evidence that the F-box gene is relevant in pollen development.In this study, the results showed that some genes (Jure 07950.t1,Jure 21178.t1,Jure 11456.t1,Jure 07156.t1,Jure 07788.t1,Jure 21675.t1,Jure 19792.t1,Jure 05249.t1,Jure 26563.t1,Jure 20019.t1,Jure 14341.t1,and Jure 26807.t1)were expressed highly in female flowers, suggesting that the F-box gene family of common walnut was vital for regulating the flowering (Figures 4-6).We found that a total of 12 genes were highly expressed in the first opening of female flowers (10 April), while the two genes were highly expressed in the first opening of male flowers, suggesting that the F-box genes were relevant in female and male flowering in common walnut (Figure 7).

Conclusions
In this study, we identified 74 F-box genes in common walnut (Juglans regia).Phylogenetic analysis showed that the F-box genes can be grouped into three groups.Based on specific and special domains, the common walnut F-box genes were classified into eight subfamilies.In addition, expression profile analysis revealed that the F-box genes display diverse expression patterns in different common walnut tissues.Most of the common walnut F-box genes grouped into Group A were highly expressed in female and male flowers, while Group C members were lowly expressed in leaf and hull tissues.A total of 14 genes (Jure_06725.t1,Jure_07950.t1,Jure_19792.t1,Jure_11456.t1,Jure_07788.t1,Jure_21178.t1,Jure_02219.t1,Jure_06252.t1,Jure_13358.t1,Jure_21675.t1,Jure_16679.t1,Jure_05249.t1,Jure_07156.t1, and Jure_26563.t1) were highly expressed in female and male flowers at all stages, which might play an important role in the flowering of common walnut.During female flower ripening, it was shown that some genes exhibited an increased expression level with the female growing.Overall, in the reproductive tissues and vegetative tissues, a total of 13 members of the F-box gene family were highly expressed in reproductive tissues, while those in other vegetative tissues were low in expression, and three F-box genes were higher in reproductive tissues than in nutritive tissues.The expressions were significantly higher in female flowers and male flowers compared with leaf and hull tissues at the transcription level.The results revealed that the expressions of F-box genes in male flowers were positively correlated with female flowers, but there was no correlation between any other tissue combinations in common walnut.

Supplementary Materials:
The following are available online at http://www.mdpi.com/1999-4907/10/3/275/s1: Figure S1.The whole conserved domains of the F-box gene family of common walnut; Figure S2.The maximum estimation for KS (synonymous replacement) values; Figure S3.The cis-elements of the F-box gene family of common walnut; Figure S4.The KEGG pathway of the F-box gene family of common walnut; Table S1.A total of 12 samples of common walnut used for expression profiling in this study; Table S2.The information and accession number of the F-box gene family of common walnut; Table S3.Pairwise identities and divergence period estimation of common tobacco F-box genes; Table S4.Information for a total of 40 scaffolds (pseudo-chromosomes) for common walnut (J.regia); Table S5.Expression data of F-box genes in flowers at different developmental stages in common walnut (J.regia).

Forests 2019 , 20 Figure 1 .
Figure 1.(a) Phylogenetic analysis of F-box proteins in common walnut (74).These 74 sequences were used to construct a neighbor-joining (NJ) tree.The tree was divided into eight subfamilies; the names of different groups are displayed.(b) The number of each group of the F-box gene family of common walnut.

Figure 1 .
Figure 1.(a) Phylogenetic analysis of F-box proteins in common walnut (74).These 74 sequences were used to construct a neighbor-joining (NJ) tree.The tree was divided into eight subfamilies; the names of different groups are displayed.(b) The number of each group of the F-box gene family of common walnut.

Figure 2 .
Figure 2. Chromosomal locations in common walnut of F-box genes on 31 pseudo-chromosomes.The pseudo-chromosome name is at the top of each bar.The scale of the pseudo-chromosome is millions of base pairs (Mb).The blue box represents the gene pairs of the F-box gene family of segmental duplication.The orange box represents the gene pairs of the F-box gene family of tandem duplication.

Figure 2 .
Figure 2. Chromosomal locations in common walnut of F-box genes on 31 pseudo-chromosomes.The pseudo-chromosome name is at the top of each bar.The scale of the pseudo-chromosome is millions of base pairs (Mb).The blue box represents the gene pairs of the F-box gene family of segmental duplication.The orange box represents the gene pairs of the F-box gene family of tandem duplication.
domain.The typical F-box domains, including FBOX and FBA_1, as well as the conserved motifs, are shown in FigureS1(Supplementary Materials).typical domain.The typical F-box domains, including FBOX and FBA_1, as well as the conserved motifs, are shown in FigureS1(Supplementary Materials).

Figure 3 .
Figure 3. (a) Phylogenetic relationships, (b) motif compositions, and (c) gene structures of the 74 F-box genes identified in common walnut.(a) Phylogenetic relationships used the NJ method, and different colors represent different groups.(b) Colored boxes indicate conserved motifs, and gray lines represent non-conserved sequences.The length of motifs in each protein is shown proportionally.(c) UTR represents upstream, CDS represents coding sequence, and EXON represents exon; 0, 1, and 2 represent different types of phase.Phase 0: located between two consecutive codons; Phase 1: splitting codon between the first and second nucleotides; Phase 2: between the second and third nucleotides of a codon.

Figure 3 .
Figure 3. (a) Phylogenetic relationships, (b) motif compositions, and (c) gene structures of the 74 F-box genes identified in common walnut.(a) Phylogenetic relationships used the NJ method, and different colors represent different groups.(b) Colored boxes indicate conserved motifs, and gray lines represent non-conserved sequences.The length of motifs in each protein is shown proportionally.(c) UTR represents upstream, CDS represents coding sequence, and EXON represents exon; 0, 1, and 2 represent different types of phase.Phase 0: located between two consecutive codons; Phase 1: splitting codon between the first and second nucleotides; Phase 2: between the second and third nucleotides of a codon.

Figure 4 .
Figure 4. Expression patterns in multiple tissues of common walnut.RNA sequencing (RNA-Seq) data of all tissues in common walnut were used to analyze the expression pattern.The heat map was drawn in log10-transformed expression values.Red and green represent relatively high and low expression compared to the control, respectively.

Figure 4 .
Figure 4. Expression patterns in multiple tissues of common walnut.RNA sequencing (RNA-Seq) data of all tissues in common walnut were used to analyze the expression pattern.The heat map was drawn in log 10 -transformed expression values.Red and green represent relatively high and low expression compared to the control, respectively.

Figure 5 .
Figure 5.The values of F-box gene family member expression for different subfamilies of common walnut.

Figure 5 .
Figure 5.The values of F-box gene family member expression for different subfamilies of common walnut.

Figure 6 .
Figure 6.The regression analysis of the F-box gene family of common walnut.(a) the regression analysis of expression level between male and female flower; (b) the regression analysis of expression level between leaf and female flower; (c) the regression analysis of expression level between hull and female flower; (d) the regression analysis of expression level between leaf and male flower; (e) the regression analysis of expression level between hull and male flower; (f) the regression analysis of expression level between nutrition tissues and vegative tissues.

Figure 6 .
Figure 6.The regression analysis of the F-box gene family of common walnut.(a) the regression analysis of expression level between male and female flower; (b) the regression analysis of expression level between leaf and female flower; (c) the regression analysis of expression level between hull and female flower; (d) the regression analysis of expression level between leaf and male flower; (e) the regression analysis of expression level between hull and male flower; (f) the regression analysis of expression level between nutrition tissues and vegative tissues.

Figure 7 .
Figure 7. Expression of 14 F-box genes in various stages of female and male flowers.The X-axis represents female and male samples from different growth periods; 1, 2, 3, 4, 5, 6, and 7 represent 10 April, 15 April, 22 April, 1 May, 10 April, 11 April, and 2 May.The blue represents the expression level in female flowers, and the gray represents the expression level in male flowers.The Y-axis represents the relative expression level of F-box gene of common walnut.Error bars represent the standard deviations of three replicates.The expression level data are as shown in TableS5(Supplementary Materials).We used two or three biological replicates from the same organization in the same period in TableS5(Supplementary Materials).

Figure 7 .
Figure 7. Expression of 14 F-box genes in various stages of female and male flowers.The X-axis represents female and male samples from different growth periods; 1, 2, 3, 4, 5, 6, and 7 represent 10 April, 15 April, 22 April, 1 May, 10 April, 11 April, and 2 May.The blue represents the expression level in female flowers, and the gray represents the expression level in male flowers.The Y-axis represents the relative expression level of F-box gene of common walnut.Error bars represent the standard deviations of three replicates.The expression level data are as shown in TableS5(Supplementary Materials).We used two or three biological replicates from the same organization in the same period in TableS5(Supplementary Materials).

Funding:
This work was funded by the National Natural Science Foundation of China (No. 41471038; No. 31200500), the Program for Excellent Young Academic Backbones funded by the Northwest University, Shaanxi Academy of Science Research Funding Project, and the Natural Science Basic Foundation of Shaanxi Province (2018JM3021).