To assess the degree of male-biased hyper methylated regions, we first analysed the previously known hyper methylated regions–MHMa and MHMb. These two regions, situated at 27.375Mb and 27.329Mb respectively, had a 3.3 and 3.6-fold increase in methylation in males, respectively, with these ratios being highly significant (max Wilcoxon pvalue < 4e-10 and 1.7e-10, respectively, for each region), see S1 Table ). The original MHM region was hypothesised to be approximately 460kb in length [ 24 ]. When we assessed the methylation around these two regions, we find elevated methylation from 27.142Mb-27.40Mb (259-kb long), more accurately demarking this region, see Fig 1 . To identify further male biased methylation windows, we performed a chromosome-wide scan calculating the degree of sex bias. Based on the pre-existing MHM region, we then selected all those regions with both a strongly significant sex bias (p<1.75e-10, as compared to the average sex bias in methylation on the Z chromosome being p = 0.14 and a 1.69 fold methylation difference between males and females) and with at least five adjacent methylation windows (see methods section).
Male methylation is shown in blue, female methylation is shown in red.
In total, 19 MHM regions (hereafter referred to as blocks) were identified (see Table 1 and Figs 2 and S1 ). Of these continuous blocks, 17 had genes in the local vicinity. In this instance, we defined local as being within 100kb of the MHM block, as in our previous study we found strong correlations between gene expression and DNA methylation even up to 100kb away from the gene itself. To test if dosage compensation acts locally on a gene-by-gene basis or uniformly throughout each block, the methylation levels within these MHM blocks were correlated with the neighbouring genes (see Table 1 ), i.e. individual methylation windows present within each block were correlated with the expression of adjacent genes, controlling for multiple testing. Of the 17 blocks with adjacent genes, 14 had a significant correlation between at least one methylation window and local gene expression, see Figs 2 and S1 . Interestingly, neighbouring genes frequently displayed different correlations with methylation (i.e. neighbouring genes could have very different correlations with local DNA methylation), indicating that these regions seem to be associated with expression on a gene-by-gene basis.
Panes illustrate regions 1, 2, 9, 12 (selected as being representative of all the regions). Each pane consists of the following: i) The male:female methylation ratio for the 1kb methylation windows that make up the MHM region (each black dot represents the ratio at one methylation window). The red hashed line at the base indicates the average male:female methylation ratio (~1.7). ii) Male:female gene expression ratio is indicated by the blue dots, one for each gene in the region, with the ratio shown on the left-side y-axis, and the blue hashed line indicating the average male:female gene expression ratio on the Z chromosome (~1.2). iii) The number of correlations between each gene and the 1kb methylation windows that make up each MHM. The direction of the correlation (positive or negative) is indicated by the bar being above the line (positive, coloured turquoise) or below the line (negative, coloured purple). The number of correlations is indicated on each bar, whilst each gene name is given on the x-axis.
The 17 MHM regions containing genes are divided into separate regions, with their location, size, number of probesets present initially given. Also included are the average gene expression values for males and females, the p-value of the sex differences in gene expression, the ratio of male:female gene expression, the number of 1kb windows present within the MHM region that correlate with each gene and the direction of that correlation.
In total, 51 unique genes (38 present in our dataset) were adjacent to these MHM-like blocks, with 224 significant correlations with methylation levels (methylation windows) of which 134 correlations were negative and 90 positive (tvalue from linear model). Furthermore, of the 38 genes present in our dataset, 34 had a significant sex bias expression with 20 being expressed higher in males and 14 higher in females (M:F ratio). The average fold difference between males and females on the Z chromosome was 1.22 while for the autosomes this was 1.02. In the case of the original MHM region, apart from the RNAse genes (EST probes X603141644 and X603862378 for the lncRNA ENSGALG00000051419 in Fig 2 ) that are almost entirely silent in males, this region (see Figs 2 and S1 and Table 1 ) also contains multiple genes that are still male-biased, but below the average degree of male-bias on the Z chromosome. Similarly, these genes tend to be positively correlated with local methylation, where such a correlation exists. This pattern is also replicated in the newly identified MHM regions (see MHM#1 and #2 in Fig 2 , and MHM#12,13,14,15,16,19 in S1 Fig ). Therefore, increased methylation in males is associated with a reduction in the differences in male-biased gene expression, but does not eliminate it entirely, in both the existing and the new MHM regions. None of the methylation QTL detected on the Z chromosome (either QTL or phenotypes) overlapped with these MHM regions.
One other MHM region has previously been putatively identified at 73.16–73.173Mb on the Z chromosome by Sun et al. [ 25 ]. We also identify this region in our data, though the median methylation threshold fell slightly below the threshold we set, and was therefore excluded initially (i.e. there was a strongly significant sex-difference, but the median level of methylation over all individuals was lower than in the original MHM region). Nevertheless, the region shows very significant DNA methylation levels differences between the sexes (see S2 Table ), with significantly more male DNA methylation. All of the neighbouring genes to these MHM regions were also assessed for potential GO enrichment, with no GO enrichment found for those genes in the immediate vicinity.
As well as additional MHM regions, a search for regions with a lower than average male: female methylation ratio was also performed to identify regions that showed a relative decrease in DNA methylation in males or an increase in DNA methylation in females. Using a criterion of a significant increase in female methylation, relative to males, we firstly identified a total of 118 1kb windows that were significantly more methylated in females than males (see Tables 2 and S3 ). Of these, three regions consisted of five or more consecutive female-biased methylated windows. These regions were located at 30195000-30200000bp, 42633000-42638000bp, and 49073000-49073000bp on the Z chromosome. No genes were found in these regions, however. An overlap between methylation QTL and these regions was also performed, though once again no overlaps occurred.
The position, average and median methylation per window, and the average methylation in males and females per window are all given, as well as the significance of the sex-difference and the average male:female fold ratio.
To test if females up-regulate gene expression in the MHM regions, or if males down-regulate gene expression, genes that were present in the combined MHM regions were divided into those that had a significant sex difference and those that did not (see Table 1 ). Fourteen genes had a significant sex difference, and 22 did not (though as noted above, many still had less than the average male: female expression ratio). For the genes that displayed significant sex differences, males had an average expression of 5952 (S.D. 8804), whereas for balanced genes (no sex difference) the average male expression was 343 (S.D. 323). A similar pattern was seen for females, with unbalanced genes having an average expression of 4869 (S.D. 7227), and balanced genes having an average expression of 308 (S.D. 276). Of the two genes that displayed female biased expression (i.e. increased expression in females), the average male expression was 335 (S.D. 318), and the average female expression was 1643 (S.D. 1977). For both males and females, balanced genes had a significantly lower expression (males, t-test statistic -2.4, p = 0.03, females t-statistic = -2.4, p = 0.035). This potentially indicates that balancing occurs by decreasing male gene expression, though female gene expression is also low for these genes. Note that one issue here is that the unbalanced genes in the MHM region are still being balanced to some extent (with lower gene expression differences on average than the Z chromosome on average).
To assess the role that methylation plays in sex balanced and sex unbalanced genes in the MHM regions, we tested for a difference in the number of correlations for each gene with the local methylation windows present in their respective MHM regions. In the case of unbalanced genes within the MHM regions, an average of 4.64 correlations were found per gene (S.D. 2.4). All of these correlations were positive (i.e. methylation was positively correlated with gene expression). For the unbalanced female-biased genes within the MHM region, 9 correlations were found per gene (S.D.0), with all of these having a negative correlation with methylation. In the case of the balanced genes, 0.95 correlations per gene were found (S.D. 1.9). Of these, 0.18 correlations per gene had a negative correlation and 0.77 correlations per gene had a positive correlation. Therefore sex-balanced genes (no significant sex difference in gene expression levels) show significantly fewer correlations with local MHM-region methylation (t-statistic = -4.8, p = 6.7x10 -5 ), and whilst unbalanced genes all show positive correlations between methylation and gene expression, balanced genes display a mixture of positive and negative correlations. For female biased unbalanced genes, this group display the most correlations per gene, with all of these being negative. These two genes are the lncRNAs that were previously identified in the initial MHM region. These results appear to show that quantitative changes in methylation are only correlated with gene expression when no (or less) sex balancing occurs, with increasing local methylation appearing to increase, rather than decrease, gene expression. When genes are sex-balanced, local methylation appears to play less of a role in regulating gene expression.
Methylation QTL were assessed by performing local (cis) methylation QTL scans restricted solely to the Z chromosome. In addition, trans scans were also performed, where the QTL was located on the Z chromosome, but the target methylation window was free to be present on either the Z chromosome or the autosomes. In total, we identify 18 significant cis methylation QTL and 53 significant trans methylation QTL that are based on the Z chromosome, with a further 20 suggestive cis methylation QTL and 528 trans methylation QTL. As expected, most of the methylation QTL (n = 528) had a significant sex interaction effect. This is expected due to the large differences in Z chromosome methylation between males and females, with males possessing two methylated chromosomes (ZZ) and females only one (ZW). A full list of all methylation QTL can be found in S4 Table . In addition, 51 expression QTL (eQTL) were identified on the Z chromosome (either as a QTL or the trans-effect phenotype of a QTL), see S5 Table .
To identify trans-acting hotspots, we identified where multiple methylation QTL were associated with the same marker and had overlapping confidence intervals. Of the 619 methylation QTL on the Z chromosome, these mapped to 141 different SNP loci. Of these loci, 13 were associated with multiple methylation windows/phenotypes (10 or more methylation windows associated with each marker, respectively). These hotspots on average spanned 5.87Mb of physical distance in the genome (found by taking the shared overlapping confidence intervals and finding the minimum overlapping size), see Table 3 . Of note, all bar one (n = 12) of these trans hotspots were located on the autosomes, but regulated variation in methylation on the Z chromosome. Of these 12, 3 were previously identified as regulating methylation variation on the autosomes in this intercross [ 4 ], on chromosomes 3 (at 18Mb, hotspot 4), 6 (at 7.7Mb, hotspot 6) and 7 (at 2.4 Mb, hotspot 9). One hotspot was located on the Z chromosome (at 41.7Mb, hotspot 13, with this hotspot spread over three adjacent SNPs, rs16768340, rs16782623, rs14016786, see S4 Table ) and regulated variation in methylation on different windows in the Z chromosome, as well as some methylation windows on the autosomes. Thus, whilst the majority of regulation in methylation variation appears to be located on the autosomes, with these loci then regulating methylation on the Z chromosome, there is also some regulation of methylation variation by the Z chromosome itself, and even a small amount of autosomal regulation from the Z chromosome.
Table shows the number of methylation QTL present for each hotspot, its chromosome and base-pair position (nearest marker), and the confidence interval of each hotspot. The number of genes present within the intervals as determined by ensembl.org is also given.
The genes present within these hotspots were further checked for potential enrichment via gene ontology analysis, using DAVID 6.8 ( https://david.ncifcrf.gov/ ). In total 3 hotspots showed enrichment using the DAVID 6.8 database: the hotspot (ID#2) at
[email protected] contained genes enriched for immunoglobulin-fold/domain, the hotspot (ID#5 in Table 3 ) on
[email protected] had genes enriched for the activity of glutathione and metabolism of cytochrome P450, and the hotspot (ID#6 in Table 3 ) on
[email protected] contained genes enriched for activity with rhodopsin, see S6 Table . The hotspots and their distribution across the genome are illustrated in Fig 3 . Gene enrichment analysis was also performed for the target genomic regions in the vicinity (±10kb) of each methylation window associated with a methylation QTL hotspot. Some enrichment was found for hotspot ID#4 (located on chromosome 3 at 17.98Mb), however, this result was non-significant (Bonferroni p -value > 0.05).
(A) The 12 autosomal hotspots affecting Z DNA methylation, and (B) the single Z chromosome hotspot affecting Z and autosomal methylation.
To test the role that cis and trans regulation plays in sex-balancing gene expression on the Z chromosome, we selected all the cis-acting methQTL that were present on the Z chromosome, as well as any trans acting loci that affected methylation on the Z chromosome. These QTL were then divided into those with a significant sex-interaction, and those without one. In this case, a sex interaction indicates that the allelic effect of the QTL is different depending on the sex of the recipient, i.e. an interaction between QTL and sex is identified. Note that this is distinct from the fixed factor effect of sex (i.e. when one sex always has a uniformly higher or lower expression relative to the other). Thirty-eight cis methQTL were present on the Z chromosome, and none of these had a significant sex-interaction. In stark contrast, 540 trans methQTL affected Z chromosome methylation, and 528 of these displayed a significant sex interaction, with only 22 not displaying such an interaction (chi-squared test, p<0.0001). This ratio is similar even if only significant and not suggestive loci are considered. In this case, 45 trans methQTL showed a sex interaction effect, and only 3 did not.
To test how sex balanced and sex unbalanced genes are differently regulated over the whole Z chromosome, all of the 51 eQTL that were either present on the Z chromosome or affected gene expression on the Z chromosome (but were trans in effect) were assessed. The trans effects that were located on the autosomes but affected gene expression on the sex chromosome (n = 43) all had a significant sex interaction. On average, gene expression for these genes in males was 3276 (S.D. 6521), and 2923 (S.D. 6082) in females. In stark contrast, all the cis-acting eQTL that were present on the Z chromosome had no significant sex interaction effect. Similarly, all the trans-acting eQTL that were based on the Z chromosome, but affected autosomal gene expression, also had no significant sex interaction. The average gene expression values of the genes with no significant sex interaction was 381 (S.D. 549) for males, and 243 (S.D. 246) for females.
In total 360 overlaps were found between eQTL and methylation QTL. These were methylation and expression QTL where either the QTL or methylation phenotype were located on the Z chromosome. The overlapping phenotypes (gene expression and methylation) were tested for association using a linear model. Of these, 15 overlaps were significant after applying an FDR-based multiple testing corrections. Eleven of the overlaps were significant (p-value < 0.05, FDR corrected) using all individuals, while 3 were significant (p-value < 0.05, FDR corrected) using only females, and 1 was significant (p-value < 0.05, FDR corrected) using only males, see Table 4 . These overlaps contained 5 unique probesets belonging to 2 unique genes and 3 ESTs. The gene LINGO1 ( ENSGALG00000002708 ; chr10:3212741–3290778) is an immunoglobulin domain protein [ 37 ]. Immunoglobulin activity was also found in the methylation QTL hotspot on chromosome 3. Additionally, the 15 overlaps were tested with NEO, a network edge orientated method which uses the underlying QTL genotype as anchors for the network [ 36 ], to assess the orientation of the observed correlation. In this case, this means testing whether the causality relationship indicates that methylation is driving gene expression, or the reverse (or if the two are unrelated). Four of the overlaps had a LEO.NB.OCA-score > 0.3. Both eQTL and mQTL originated from the same genotype (imputed marker position) and thus are treated as a single-marker orientation where a LEO.NB.OCA-score > 1.0 is significant. Hence, our results indicate that the EST X603598164F1 (gene id: ENSGALG00000050497 , chrZ : 44706094–44707218 ) influences the methylation levels in the region of chrZ:45163000–45165000, see Table 4 . This gene has been retired on the GalGal6 genome, with no known function. In addition, one further EST (X603865974) was suggestive (LEO.NB.OCA >0.8), with methylation appearing to drive gene expression in this case. However, as the model p-value was significant, this means that other models (gene expression driving methylation) cannot be ruled out.
The probeset and the methylation window being tested, along with their confidence interval is presented. In addition, the genotype p-value, the sex p-value (also broken down into male and female), as well as the actual causality statistics (leo.nb.oca and cpa and the model p-value) are all shown.