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Computational identification of Y-linked markers and genes in the grass carp genome by using a pool-and-sequence method

The molecular analysis of sex in vertebrates is important, as it has the potential to provide vital information for theoretical and applied research alike. Teleost fish are the ancient vertebrates that present a broad sex chromosome system but lack differentiated sex chromosomes in most species. Hence understanding the sex in fish would not only illuminate the sex determination evolution in vertebrates but also shed light on fish farming. In the present study, we used grass carp as a teleost fish model, studied the Y chromosome by using a pool-and-sequence strategy in combination with fragment-ratio method. In total, we identified five Y-linked scaffolds (totaling 347 Kb) and six Y-specific sequences that could be used as sex-specific markers, demonstrating the suitability of NGS-based re-sequencing of pooled DNAs for the identification of sex markers in fish. Moreover, 14 putative Y-linked genes were described for the first time. All the genes, except for un-y1, un-y2, and ubq-y, showed high similarity to their female homologs. RT-PCR revealed that ubq-y was only expressed in the male hypothalamus and pituitary. These findings provided an abundant resource for the Y chromosome of grass carp, and may help elucidate sex chromosome evolution in cyprinid fish.

Sex determination and differentiation are important issues in biology research. Teleost fish are the ancient vertebrates that present a broad sex chromosome system but lack differentiated sex chromosomes in most species. Hence, studying the evolution of sex chromosomes in teleost is challenging 1 . Understanding the sex determination mechanisms in fish would provide insights into the sex determination evolution in vertebrates 2 . In many species, economic traits, such as growth rate, weight, and disease resistance, have been associated with sex 3 . Therefore, understanding the sex determination mechanisms in farmed fish is necessary. It is urgent to develop sex manipulation biotechnologies for sex control breeding 4,5 .
In recent vertebrates and most fish species, sex is mainly determined by one or more genetic factors located in sex chromosomes or autosomes 6 . The two common sex chromosome systems in most species are XX/XY and ZZ/ZW. However, some species present other types, such as XX/XO type in Giant freshwater stingray (Himantura dalyensis) 7 , X1X1X2X2/X1X2Y type in Neotropical gymnotiformes electric fish (Gymnotiformes) 8 , ZZ/ZW1W2 type in Apareiodon hasemani eigenmann (Characiformes: Parodontidae) 9 and so on 10 . Compared with recent vertebrates, fish lack morphologically and genetically differentiated sex chromosomes. Moreover, there are frequent recombinations between X chromosome and Y chromosome. Until now, the studies that focused on sex-specific regions and genes in fish remain rare, thus the sex-specific markers and sex-related genes must be identified to elucidate the complicated mechanisms underlying various sex determination types.
Traditionally, fish geneticists adopt multiple molecular marker technologies to screen sex-specific DNA markers, such as amplified fragment length polymorphic DNA, single nucleotide polymorphisms, random amplified polymorphic DNA, simple sequence repeats and quantitative trait locus [11][12][13][14] . These DNA markers could help locate sex-related genes. DM-related Y-specific gene (dmy), the representative sex-determining gene, was identified in Medaka (Oryzias latipes) through the traditional strategy 15,16 . However, traditional experiments is expensive Preliminary data analysis of re-sequencing of pooled DNAs. A total of 30 female and 30 male grass carp individuals at 18 months old were selected from the full-sib population. DNA was extracted, and two DNA mixed pools were constructed, hereafter referred to as female-pool and male-pool. The male-gc-assembly were softmasked using RepeatMasker and split using the repeat region as a separator. Consequently, 605,448 fragments were retained with a size of 749 Mb and an N50 value of 1,760 bp. The sizes of clean data from the female-pool and the male-pool were 33.33 Gb and 32.93 Gb, including 222,208,685 and 219,531,391 reads, respectively. The statistics of reference-guided mapping is shown in Table 1. Although the number of total reads from the female-pool was higher than that from the male-pool, the mapped reads (153,321,131) of the former was less than that of the latter (159,341,024), and mapping rates corresponded to 69% and 72.58%, respectively. The higher mapping rate of the male-pool suggested the existence of male-specific sequences in the reference that cannot be sequenced in the female-pool. The overall process for identifying Y-linked sequences and genes in the grass carp genome is shown in Supplementary Fig. S1. Identification of putative Y-linked scaffolds. The fragment-ratio method was applied to identify Y-linked fragments. We introduced several abbreviations in this method as shown in Materials and Methods. F i -reads is the number of female-pool aligned reads against Fragment i in male-gc-assembly, and M i -reads is the number of male-pool aligned reads against Fragment i in male-gc-assembly. Thus, R i denotes the ratio that divides the F i -reads by the M i -reads, R i -norm is the normalization of R i value, and can fairly describe the difference in the ratio of alignment reads against the reference genome between the female-pool and the male-pool. The average R i -norm for all the fragments was 0.905 ( Supplementary Fig. S2). We set a threshold of R i -norm <0.3 to differentiate Y-linked fragments from autosome and X fragments. Considering that false positives could result from low coverage, we excluded fragments with M i -reads less than 15. Finally, 923 fragments from 0 to 0.3 were considered as putative Y-linked fragments, involving 107 scaffolds with a size of 1,121 Kb. Of the 923 fragments, 169 have R i -norm values below 0.15. Information for these fragments is shown in the Supplementary Table S1.
Since scaffolds from Y chromosome is composed of a number of Y-linked fragments, then it is reasonable that scaffolds from Y chromosome tend to have higher rate of Y-linked fragments when compared with scaffolds from autosome. Hence, an enrichment analysis was performed on the 107 scaffolds following the formula that were described in Materials and Methods. Only the P-values below 1e-005 were supposed to be significantly enriched. Finally, six out of 107 scaffolds were detected to have significantly more fragments with R i -norm values less than 0.3 (P-value < 1e-005). These six scaffolds are Sca3194, Sca704, Sca713, Sca28791, Sca811, and Sca971 (Table 2). Take Sca971 for example, the length of Sca971 is about 45,330 bp, a total of 28 fragments were produced, interestingly, 18 out of 28 fragments have the R i -norm values below 0.3, while 10 fragments have the R i -norm values below 0.15, the P-value of Sca971 is 2.166655e-44. Conversely, for putative autosome-linked scaffolds, such as Sca667, rare putative Y-linked fragments (2/78) were detected, and its P-value was 0.006456602 that above 1e-005. The discrepancies in R i -norm distribution for scaffolds that originated from different chromosomes are shown in Fig. 2. Compared with autosome-linked scaffolds (Sca0), putative Y-linked scaffolds have a lower R i -norm value (~0). Conversely, putative X-linked scaffolds (Sca628) have a higher R i -norm value (~2). Thus, the six putative scaffolds, with a combined size of 356 Kb, were more likely to be from the Y chromosome.
High abundance of repetitive elements on the Y-linked scaffolds. For the six putative Y-linked scaffolds, we analyzed their repeat contents. Compared with whole male genome, 17.53% of the bases were masked as repetitive elements, the repetitive elements rate of Y-linked scaffold reached up to 30.71%. The detailed information for the repetitive elements and gaps is listed in Supplementary Tables S3 and S4. Moreover, we found a remarkably higher abundance of retro elements on the Y-linked scaffolds. The coverage of the retro elements is nearly five times as much sequences compared with the entire genome (17.16% vs. 3.53%). Additionally, the average coverage of long interspersed nuclear elements on the Y-linked scaffolds was 10.43%, which is 10 times more than that of the whole genome (1.34%). Furthermore, more long-terminal-repeat elements, L2/CR1/Rex, interspersed and simple repeats were detected in the Y-linked scaffolds. Notwithstanding, similar rates of DNA transposons (10.41% vs. 12.03%) were present in both Y-linked scaffolds and entire genome.
PCR tests in of full-sib population confirmed Y-linked sequences. We selected a batch of putative Y-linked sequences from the six scaffolds for further PCR verification in the full-sib population. To improve the efficiency of this process, we chose fragments that have higher stringent threshold (R i -norm < 0.15). Thus, 75 fragments were included for subsequent analysis. A BlASTN search 23 was performed against female-gc-assembly using default parameters 22 , and fragments with best blast hits (expect value < 1e-005) were discarded. Finally, 17 sequences across five scaffolds (except Sca3194) were retained in PCR amplification in the full-sib population.   Table S2). Partial full-sib PCR results of representative sequences for the five scaffolds are shown in Table 3 and Fig. 3. Therefore, the five scaffolds were totally confirmed as Y-linked. The above results suggested that fragments with low R i -norm values tend to be Y chromosome sequences, and the fragment-ratio method is reliable for identifying Y-linked sequences in grass carp.
PCR tests in wild population confirmed Y-specific sequences. Differences in the genetic background among different families may cause sequence divergence for the Y chromosome and affect test efficiency. Therefore, eight female and eight male wild grass carp individuals from different water systems (Zhujiang river, Yangtse river, Xiangjiang river, Lao river.) that were described in our previous study 24 , were collected. The detection of polymorphism in those wild grass carps confirmed that the natural germplasm resources of wild grass carp were genetically diverse 24 . Further PCR tests were performed in these wild grass carps to confirm that whether the Y-linked sequence is specific to wild male individuals. However, the results of further PCR in wild grass carps were below our expectations ( Supplementary Fig. S3). All six sequences of Sca971 (Sca971_3_662, Sca971_30_188, Sca971_4_1894, Sca971_9_1908, and Sca971_32_446, Sca971_34_3238) still presented male-specific amplification (see Fig. 4). These sequences have the potential to be used as sex-specific molecular markers. By contrast, the 11 other sequences (Sca 704_15_1909, Sca 704_33_2332, Sca 704_63_267, Sca 704_77_319, Sca 713_22_716, Figure 2. Discrepancy of R i -norm distribution among fragments that originated from different chromosomes. Pink circle indicates R i -norm values of fragments. The x axis represents different fragments, and the y axis represents R i -norm value. Scaffolds are shown by their ID numbers. Compared with autosome-linked scaffolds that with R i -norm value of ~1, Y-linked scaffolds have lower R i -norm value (~0), whereas X-linked scaffolds have higher R i -norm value (~2). Table 3. Selected Y-linked fragments with R i -norm < 0.3, PCR results are shown in Fig. 3. Note: F i -reads is the number of female-pool aligned reads against Fragment i in male-gc-assembly, M i -reads is the number of male-pool aligned reads against Fragment i in male-gc-assembly. Thus, R i denotes the ratio that divides the F i -reads by the Mi-reads, R i -norm is the normalization of R i value, and can fairly describe the difference in the ratio of alignment reads against the reference genome between the female-pool and the male-pool. In the seventh and eighth columns, Y represents the corresponding sequence that was only amplified successfully in male individuals, and N represents the corresponding sequence that was amplified in both male and female individuals. Additional information of these five representative Y-linked fragments can be found in Table 3.  Y-linked genes annotation. Identification of Y-linked sequences is important to elucidate the gene content of Y chromosomes. The five confirmed Y-linked scaffolds (Sca704, Sca713, Sca28791, Sca811, and Sca971) were used for gene annotation based on BLAST evidence. Alignments detected in at least one database (NR, Ref-Seq, EST) were considered Y-linked genes. Thus, four scaffolds presented hits in at least one database. A total of 14 genes were annotated from BLAST evidence and were named according to their putative functions or as 'un-y' for the genes without previously described functions. Detailed information of all Y-linked genes is listed in Table 4 and Fig. 5. We identified three copies of neoverrucotoxin subunit beta gene (nsb-y1, nsb-y2, and nsb-y3) that located in Sca704 and Sca811. These genes contain Fibronectin type-III, neoverrucotoxin subunit domains and were predicted to play roles in microtubule organization and stabilization 25 . Furthermore, two copies of the NACHT, LRR and PYD domains-containing gene (nacht-y1 and nacht-y2) were identified in Sca704 and Sca713, they were supposed to function in innate immunity and inflammation 26 . RNA-directed DNA polymerase genes (rdp-y1, rdp-y2, rdp-y3, and rdp-y4) were widespread in all of these four scaffolds and may play roles in DNA replication and respond to genotoxic stress 27 . Two copies of retrotransposon-like gene (retro-y1 and retro-y2) were identified in Sca704 28 . One gene that supposed to be an E3 ubiquitin ligase containing a Zinc finger domain 29 , named ubq-y gene, was identified in Sca811. All the above genes had Ref-Seq evidence and shared homology with proteins with known functions. In addition, nucleotide BLAST results against the grass carp annotated genes showed that all the genes have female homologs with high sequence identities except ubq-y gene. The coding sequence of ubq-y is obviously divergent from its female homolog. Two other genes were detected in Sca713 and Sca971, nucleotide BLAST results showed that they only have EST evidences and share no similarity to proteins with known functions. We named them unknown function genes (un-y1, un-y2), these two genes could be novel genes because of their lack of similarity to known function genes. The BLAST results showed that many genes are incomplete and some of them lack exons, it is understandable because Y-linked sequences tend to have sequence assembly errors resulting from highly repetitive sequences scattered in the Y chromosome. Therefore, re-sequencing and rapid amplification of complementary DNA are usually needed to fully annotate Y-linked genes.

Fragment name Length
Expression analysis of four Y-linked genes. Most Y-linked genes showed high similarity to female homologs, testing male-specific expression is difficult owing to the high homologous sequence. Hence, we only chose four genes, including three genes (ubq-y, un-y1, un-y2) that lack highly similar female homologs, and one gene rdp-y4 that have highly similar female homolog. Expression experiments were performed in four female and male tissues (B: brain, H: hypothalamus, G: gonad, P: pituitary). The result is shown in Fig. 6. We found that rdp-y4 gene was amplified in all four tissues in both sexes with high abundance, thereby confirming the quality of the cDNA template. Hence, rdp-y4 can be used as the positive control. Noticeably, the ubq-y mRNA was highly expressed in two male tissues (hypothalamus and pituitary), but not detected in the female tissues. Expression specificity in male neuroendocrine tissues indicated that ubq-y may function in sex differentiation. By contrast,  Table 4. Y-linked gene annotation. Notes: In the cases where the homolog is an annotated gene, we used the homolog gene name as an identifier, otherwise we used the "un-y" as an identifier. Amino acid identity with ref were computed by comparing sequences directly. a Genes in bold were selected for RT-PCR experiments, as shown in Fig. 6.
the un-y1 and un-y2 genes were not amplified in both sexes, suggesting that they may be expressed during developmental stages, such as embryonic or nymphal stage. Considering that the ubq-y gene is only present in male grass carp, we compared its translated coding sequence with female homolog. Twenty four amino acids in N-terminal were failed to be predicted. Alignment results showed widespread discrepancies in amino acid sites (Fig. 7a), suggesting that ubq-y is a divergent paralog (amino acid identity of 75%). Phylogenetic analyses of ubq-y genes suggested that this gene diverged from its female homologous gene in certain fish species, such as Sinocyclocheilus rhinocerous (Fig. 7b), which is also a ray-finned fish in the Cyprinidae family. By contrast, no ubq-y ortholog was detected in zebrafish despite being in the same Cyprinidae family. These findings indicated that their divergence from zebrafish followed by independent divergence of the sex chromosomes in these two species. Both expression and sequence evidences revealed the divergent function of ubq-y gene.

Discussion
The Y chromosome is involved in multiple biological functions, such as male fertility and sex determination. A male-determining gene in the Y chromosome is hypothesized to initiate male sexual differentiation, such as Sex-determining region Y gene (sry) in Human and dmy in Medaka 15,30 . However, deciphering gene content and organization is difficult because of the highly heterochromatic nature and accumulation of repetitive DNA in sex chromosomes, especially the Y chromosome. Fish are known to have moderately differentiated sex chromosomes 31,32 . Recombination events between the X and Y chromosomes are frequent, thereby complicating the  . Expression of two Y-linked genes (rdp-y4, ubq-y) in females and males. Template cDNAs were derived from four tissues (B: brain, H: hypothalamus, G: gonad, and P: pituitary). Each tissue was extracted from three adult male/female individuals. rdp-y4 gene was amplified in all four tissues in both sexes with high abundance, thereby confirming the quality of the cDNA templates. ubq-y was not detected in the female tissues and was highly expressed in two male tissues (hypothalamus and pituitary). characterization of sex-specific fish sequences and genes. Nevertheless, considering the diverse sex-determination types and evolutionary position, studying sex chromosomes in fish is valuable and important to evolutionary biology. Grass carp is an interesting model for sex chromosomes because of its sex chromosome fusion event described in our previous work 22 .
With the advent of high-throughput sequencing and reduced cost, various types of sequencing strategies were applied in acquisition of objective traits, including whole genome re-sequencing, restriction site associated DNA sequencing (RAD-seq), exome sequencing 33, 34 and so on. Despite of higher cost, whole genome re-sequencing (WGS) demonstrates its advantage of higher coverage compared with other next-generation sequencing (NGS) technologies. Whole genome re-sequencing of pools (Pool-seq) is becoming an efficient and economical way to acquire the objective traits, and applied in identifying markers linked to any specific gene or genomic region 35 . In our study, we performed whole genome re-sequencing of pooled gDNA samples of both sexes in grass carp. A fragment-ratio method was successfully applied to identify five Y-linked scaffolds (totaling 347 Kb), with a 94.12% accuracy of PCR tests in full-sibs (16/17). This method is based on the discrepancy in the ratio of alignment reads against the male reference genome between the female-pool and the male-pool. Thus, it could work in large and complex genomes and can be applied to any species with differentiated sex chromosomes. Coincidentally, numerous Y-linked genes have been successfully described following the same principle in various species, such as the Kissing bug (Triatoma dimidiata), Polar bear, and Mosquitos [17][18][19] . Our study further confirmed the efficacy of such comparative genomic strategies in fish. Compared with traditional methods, such as AFLP and SNP, these comparative genomic strategies are more efficient and time saving, especially in detecting large Y-linked region and genes.
However, the species previously studied have highly evolved gonosomes, and the prominent divergence between sex chromosomes make it very easy to acquire Y-specific sequences and genes. In contrast, identifying Y-specific genes in fish is complicated by their primitive property accompanied by the high sequence similarity of gonosomes. Although the method we used follows the same principle of the CQ method proposed by Hall et al. 32,36 , it has a higher rate of false positivity in PCR tests in the wild grass carp population compared with Mosquitoes. Only 6 out of 17 Y-linked sequences were proven male specific in the wild grass carp population. The undifferentiated status of fish gonosomes and high frequent crossovers between X and Y chromosome likely explain much of this phenomenon. For Y chromosome, the high similarity to X chromosome counterpart make it difficult to distinguish from each other through a pair of primer. Our results indicated the crucial influence affected by discrepancy of gonosomes. The higher the similarity between X and Y chromosome, the lower the chance of finding true Y-specific sequences and genes. Notwithstanding, we still screened out six Y-specific sequences (spanning 48Kb) that could be used as sex-specific markers with a higher efficiency compared with our previous work 22 , where only one out of 206 contigs retained its specificity in wild grass carps finally. Actually, the putative male-specific markers (probe 184, CI01M090293) that was described in our earlier publication 22 , was located on Sca971 around the 30 Kb position (30,697 bp), with a length of 4,148 bp. Additionally, the amplified product of the specific marker corresponds to Sca971_34_3238, which belongs to our six Y-specific sequences, was also verified by our PCR test in both full-sib and wild grass carp individuals (Supplementary Table S2.xls). Placental mammals have highly evolved sex chromosomes, but lower recombination with other genome regions make the Y chromosome genetically degenerate with rare active genes 36 . Fish still have a primitive Y chromosome that evolved from recent evolutionary events, thus, its gene content is theoretically higher than that of placental mammals. Although we proved that the Y-linked scaffolds have a higher rate of repetitive elements compared with the whole genome (30.71% vs. 17.53%), 14 genes were still deciphered on the basis of homology searching. Except for un-y1, un-y2, and ubq-y genes, the Y-linked genes showed high similarities to their female homologs, most of them are multi-copy genes distributed in at least two loci. This phenomenon revealed that degeneration level of Y chromosome in fish is still primitive despite of accumulation of repetitive DNA. For Sca971, although we have confirmed the male specificity of six sequences, all of them spread across an intergenic region, the gene content of this scaffold still shares high sequence similarity to female homologs, such as rdp-y4 gene. These findings indicated that the extent of divergence is variable across the region, with high similarity in coding sequences but low similarity in intergenic regions that result from mutation or indels with few functional constraints 37 .
We have no indication of the biological function of the two other Y-linked genes (un-y1 and un-y2) because of the lack of similarity to genes with known functions. ubq-y gene was supposed to be an E3 ubiquitin-protein ligase containing a zinc finger domain and shared low sequence similarity to its female homolog. RT-PCR results further revealed that ubq-y is expressed only in the male hypothalamus and pituitary, suggesting ubq-y gene possibly participates in gender differentiation and development in grass carp. Future functional studies, such as RNAi silencing, are needed to clarify its biological role. The alignments and phylogenetic analysis showed the extensive sequence divergence of ubq-y with female homologs, suggesting the differentiation of sex chromosomes in certain cyprinid fish. Although the grass carp genome underwent whole-genome duplication similar to zebrafish after the teleost radiation, with its adaption to variable environments, grass carp undergone species-specific duplications involving cell proliferation and differentiation, as well as organ size control 22 , which make it higher in terms of sex differentiation. Grass carp already has incomplete differentiation of the Y chromosome compared with zebrafish, gene duplication and function divergences are accompanied by the evolution of sex chromosomes.

Materials and Methods
Ethical procedures. Animal welfare and experimental procedures were performed in accordance with the Guide for the Care and Use of Laboratory Animals (Ministry of Science and Technology of China, 2006), and the study protocol was approved by the Committee of the Institute of Hydrobiology, Chinese Academy of Sciences (CAS). All surgeries were performed under eugenol anesthesia, all efforts were made to minimize suffering.

Construction of population and experimental fish collection.
During the breeding season of grass carp and common carp (late April to early May), 1 female grass carp, 1 male grass carp, and 1 male common carp parents were randomly selected from the Guanqiao Experimental Station of the Institute of Hydrobiology, CAS (Wuhan, China). Semen or eggs from each fish were collected separately. A part of eggs were conventionally fertilized using grass carp semen to construct a full-sib population. Another part of eggs were fertilized using UV-inactivated semen of common carp and simulated in cold water at 0-4 °C to construct a gynogenetic population 38 . The two groups of fertilized eggs were hatched in different hatchery ponds for emerging fry. After 2 weeks, 500-800 fry with approximately 1 month old were selected randomly from each population and bred in two ponds approximately 2600 m 2 in area.
At age of 18 months, weighing 800-1,200 g, with the average length of 30 cm, 90 grass carp individuals were selected randomly from each population and were dissected to observe gonad development under the microscope. In addition, eight female and eight male wild grass carp individuals were collected from different wild water systems (Zhujiang river, Yangtse river, Xiangjiang river, Lao river) that were described in our previous study. The GPS coordinates of the five water systems are listed in Supplementary Table S8. The detection of polymorphism in those wild grass carps confirmed that the natural germplasm resources of wild grass carp were genetically diverse 24 . Tail fins were cut from experimental fish and preserved in 95% ethanol.
The fish were fed in the Guan Qiao Experimental Station, Institute of Hydrobiology, Chinese Academy of Sciences, and acclimatized in aerated fresh water at 26-28 °C for one week before processing. Fish were fed with a commercial diet twice a day and water was exchanged daily.
Re-sequencing of DNA pools of male and female grass carp. A total of 30 female and 30 male grass carp individuals at 18 months old were selected from the full-sib population. DNA was extracted from tail fins using the conventional phenol-chloroform method. Thus, two DNA mixed pools were constructed, hereafter referred to as female-pool and male-pool. DNA quality and purity were checked using 1% agarose gel electrophoresis and ultra-micro spectrophotometry (Nanodrop 2000, USA). A total of 1.5 μg DNA per sample was used as input material for the DNA library. Sequencing libraries were generated using TruSeqNano DNA HT Sample Preparation Kits (Illumina, USA) following the manufacturer's protocol (NEBNext Ultra DNA Library Prep Kit for Illumina), index codes were added to attribute sequences to each sample. The DNA sample was disrupted via sonication into fragments of approximately 500 bp in size. The DNA fragments were end-polished, A-tailed, and ligated using the full-length adapter for Illumina sequencing with further PCR amplification. Finally, PCR products were purified, libraries were analyzed for size distribution using an Agilent2100 Bioanalyzer and quantified using real-time PCR. These libraries were sequenced using the Illumina HiSeq4000 platform, 150 bp paired-end reads were generated with an insert size of approximately 500 bp. Library constructions and sequencing were performed using Novogene Company (China). The sequencing data in this study have been deposited in the Sequence Read Archive (SRA) at the National Center for Biotechnology Information (NCBI) (accession number: SRP095438).
SCIEntIFIC RepoRts | 7: 8213 | DOI:10.1038/s41598-017-08476-y Preliminary data analysis. The quality control of paired-end Illumina sequencing data was initially evaluated using the NGSQC Toolkit, and low-quality sequence data were filtered out (cutOffQualScore < 20) 39 . The grass carp genome assemblies were obtained from our previous work 22 . The female genome was referred to as female-gc-assembly, the male genome assembly that was utilized as the reference genome source was referred to as male-gc-assembly. Male-gc-assembly is arranged into 130,221 scaffolds with an N50 value of 2,269 Kb and a size of 1.07 Gb, its average sequence length is approximately 8,265 Kb, with the minimum and maximum at 246 bp and 16.34 Mb, respectively. The scaffolds in male-gc-assembly were labeled according to their respective scaffold ID numbers with the format "ScaID. " In consideration that repetitive sequences may result in a high bias of sequencing coverage, all scaffolds from male-gc-assembly were softmasked using RepeatMasker and split using the repeat region as a separator. Fragments with length shorter than 200 bp were disregarded.
RepeatMasker 40 was used to softmask all scaffolds and avoid repetitive sequences (i.e., transposable elements, virus retrogenes, and simple repeats) using default parameters, except that the "-species" parameter was set as "Dario". As a result, scaffolds in male-gc-assembly were fragmented into numerous fragments. Meanwhile, fragments shorter than 200 bp were excluded to avoid false positives. The remaining sequences were used as reference.
The treated cleaned reads were aligned to against the reference genome using the ultrafast read aligner bwa 41 . Samtools 42 was used to index, merge, sort, remove, format convert, and remove duplications against the aligned data. Picard (http://picard.sourceforge.net/) was used to mark duplicated reads, and realignment of reads around regions of indels was performed using GATK 43 .
Computational identification of putative Y-linked sequences. The fragment-ratio method was applied to identify Y-linked sequences, this method was based on the discrepancy in the ratio of alignment reads against the reference genome (male-gc-assembly) between the female-pool and the male-pool. For a given Fragment i , we can obtain R i -norm that was calculated using the following equations: where F i -reads is the number of female-pool aligned reads against Fragment i in male-gc-assembly; M i -reads is the number of male-pool aligned reads against Fragment i in male-gc-assembly; R i denotes the ratio that divides the F i -reads by the M i -reads. However, the discrepancy in the sequencing coverage of the two pools may affect the R i value, leading to a biased result. Hence, R i normalization was performed by multiplying by the value of norm, which denotes the normalized female-male ratio that was calculated by dividing F total -reads from M total -reads. Therefore, R i -norm can fairly describe the difference in the ratio of alignment reads against the reference genome between female-pool and male-pool. The depth statistics of all the fragments was calculated using the command "idxstats" in Samtools. Moreover, a program written in perl named "RatioOfSex.pl" was used to calculate the R i -norm value. The fragment-ratio method is based on the difference in the relative numbers of X and Y chromosomes between females and males. Reads from the female-pool and the male-pool demonstrate the characteristics of sex-specific patterns when aligned against different chromosomes. For species with the XX/XY sex determination system, the female has two X chromosomes and no Y chromosome, whereas the male has one X and Y chromosome each. Moreover, both sexes carry two copies of each autosome. Thus, unique Y-linked sequences are not present in the female genome. On the basis of the above data, the values of R i -norm for Fragment i vary from 0 to 2: ~0 for Y chromosome fragments, ~1 for autosome fragments, and ~2 for X chromosome fragments. Meanwhile, some Y-linked fragments have homologous regions to their X chromosome counterparts, leading to few aligned reads from the female-pool, hence R i -norm is greater than 0. We set a threshold of R i -norm as 0.3 to distinguish Y-linked sequences from autosomes and X chromosomes as previously described 17 . False positives could arise from low coverage, thus the resulting fragments with M i -reads less than 15 were excluded from further analysis.
Hypergeometric test in R was used to perform enrichment analysis for the Y-linked scaffolds following the below equation: where N and n are the total number of fragments and the total number of fragments with R i -norm below the threshold (<0.3) in the reference genome, respectively. M and k represent the total number of fragments and the number of fragments below the threshold (<0.3) in the scaffold, respectively. Scaffolds with P-value < 1e-005 were used as putative Y-linked scaffolds.

Selection of putative Y-linked fragments and PCR verification.
We selected a batch of fragments for further PCR verification. To improve this process, for the fragments with R i -norm below the threshold (<0.15), BLASTN search 23 was performed against female-gc-assembly using default parameters 22 , fragments with the best BLAST hits (expect value < 1e-005) were discarded. The remaining putative Y-linked fragments were used for PCR amplification in eight male and eight female grass carp individuals (18 months old) randomly selected from a full-sib population. To determine whether the Y-linked sequences are specific to the wild population, we also performed PCR tests in eight male and eight female wild grass carp individuals (more than 18 months old) from different water systems. DNA was extracted from tail fins using the conventional phenol-chloroform method. The primers are listed in Supplementary Table S7. The PCR reaction system was 20 μL in volume, the PCR program was as follows: initial denaturation at 94 °C for 2 min, denaturation at 94 °C for 30 s, annealing at 51 °C for 30 s, and extension at 72 °C for 30 s. After 39 cycles, the program was extended at 72 °C for 2 min. Primers were designed using Primer5 and synthesized by Sangon Company (Shanghai, China). Y-linked sequences were defined as the occurrence of a clear amplicon or a distinct size in males but not in females.
Y-linked genes annotation. The Y-linked scaffolds that were successfully validated by PCR tests in the full-sib population were used for Y-linked gene annotation. These scaffolds were softmasked and blasted against different databases to search for gene coding regions. Non-redundant proteins (NR), reference sequence proteins (Ref-Seq), and expressed sequence tags (EST) were downloaded from NCBI separately. Grass carp annotated genes were downloaded from the official National Center for Gene Research website (http://www.ncgr.ac.cn/ grasscarp/). BLASTX was used against NR and Ref-Seq (e-value = 1e-005), BLASTN was used against the EST database and grass carp annotated genes (e-value = 1e-005). Alignments detected in at least one database were considered as Y-linked genes, which were then annotated from BLAST evidence and named according to their putative function or 'un-y' for the genes without previously described functions. Finally, all Y-linked genes were blasted against the Protein Family of Domains database 44 .
Expression analysis of four Y-linked genes. Expression experiments were performed in both male and male tissues for the Y-linked genes that lack high similarity to their female homologs. Three male and three female grass carp individuals (18 months old) were selected from the full-sib population. Brain, hypothalamus, gonad, and pituitary samples were prepared, equal quantities of the three samples from the same tissue were mixed, resulting in eight samples. RNA was isolated with Oligotex mRNA Kit (QIAGEN, Germany) in accordance with the manufacturer's protocol. Primers were designed using Primer5 and synthesized by Sangon Company (Shanghai, China). The primers are listed in Supplementary Table S7. The PCR reaction system was 20 μL in volume, and the PCR program was as follows: initial denaturation at 94 °C for 2 min, denaturation at 94 °C for 30 s, annealing at 51 °C for 30 s, and extension at 72 °C for 30 s. After 39 cycles, the program was extended at 72 °C for 2 min. Protein sequences were aligned using ClustalW2 45 , and a Maximum Likelihood tree with Poisson correction was constructed using MEGA6 46 .