Abstract
Insulin may serve as a key causal agent which regulates fat accumulation in the body. Here we assessed the causal relationship between fasting insulin and adiposity using publicly-available results from two large-scale genome-wide association studies for body mass index and fasting insulin levels in a two-sample, bidirectional Mendelian Randomized approach. This approach is only valid on the condition that the two instruments are independent of one another. In analysis excluding overlapping loci, there was an increase of 0.20 (0.17, 0.23) log pmol/L fasting insulin per SD increase in BMI (P= 2.80 x 10−36), while there was a null effect of fasting insulin on BMI, with a 0.01 (−0.39, 0.38) SD decrease in BMI per log pmol/L increase in fasting insulin (P= 0.98). Furthermore, a high degree of heterogeneity in the causal estimates was obtained from the insulin-related variants, which may be attributed to varying mechanisms of action of the insulin-associated variants. Results were largely consistent when an Egger regression technique and weighted median and mode estimators were applied. Findings suggest that the positive correlation between adiposity and fasting insulin levels are at least in part explained by the causal effect of adiposity on increasing insulin, rather than vice versa.
Introduction
The energy balance model of obesity based on the First Law of Thermodynamics states that energy intake minus energy expenditure is equal to change in stored energy (i.e., weight gain or weight loss)1. Opponents of the energy balance hypothesis criticize its circular reasoning which, they state, does not separate out cause and consequence of overeating and weight gain and therefore does not provide a primary driver for the obesity epidemic.2,3 Recently there has been a revival of a theory about the obesity epidemic which provides an alternative mode of thinking to the prevailing hypothesis. This alternative hypothesis highlights the role of carbohydrate (and in particular, refined sugars such as sucrose and fructose) as being responsible for increasing rates of obesity and identifies insulin as the key causal agent that is driven by the carbohydrate content of diet and which regulates fat accumulation in the body.2
The “insulin-carbohydrate” hypothesis views obesity as a hormonal, regulatory disorder and, in doing so, identifies insulin as a causal agent which may be directly targeted to reduce adiposity. Thus, this hypothesis provides impetus for the development of diet regimens that aim to lower intake of carbohydrate and glycaemic load.3 However, although observationally there is a strong association between levels of insulin and measures of adiposity, causal mechanisms (and indeed the direction of causation) still remain uncertain4. As a result, critics argue that this alternative hypothesis provides unwarranted support for fad diets proposed to lower levels of obesity5·6.
Randomised controlled trials (RCTs) examining the effectiveness of low sugar diets have generally been limited by short trial duration, a lack of compliance and little differentiation between treatment groups. Where an effect of increased sugar intake on weight change has been observed, data suggest that this is mediated through changes in total energy intake.7 Meanwhile, other trials suggest that insulin therapy may have a direct effect on weight gain and proposed mechanisms include the anabolic effects of high-dose insulin and appetite increases.8 However, such trials have generally been performed in groups of diabetic patients and so findings may not be generalisable to the general population, where research into the role of hyperinsulinemia on obesity in the absence of insulin resistance and glucose intolerance is required.
It may be possible to investigate causality in the association between insulin and adiposity using alternative methods of causal inference. Mendelian randomization (MR) is an approach that uses genetic variants robustly associated with modifiable exposures to infer causality.9,10 Such variants are not theoretically or empirically related to potential confounding factors or influenced by the development of the outcome. Therefore, they are not subject to confounding or reverse causation, allowing for the unbiased estimation of causal effects. The MR design is analogous to an RCT, where study participants are randomly allocated to one or another treatment, avoiding potential confounding between treatment and outcome.11
Statistical methodology for MR has been extensively developed since it was initially proposed10 and developments include: the use of multiple genetic variants to improve the precision with which causal effects may be estimated12,13; the application of two-sample MR based on summary statistics from two independent studies for genotype-exposure and genotype-outcome assessment13–15; bi-directional MR, which may be used in situations where the direction of causality in an observed association is uncertain16; and the application of various sensitivity analyses to test the assumptions of the MR approach, particularly pertaining to an appraisal of invalid instruments, which may bias causal estimates15,17,18.
We aimed to investigate the causal relationship between fasting insulin and adiposity using publicly available results from two large-scale genome-wide association studies (GWAS) for body mass index (BMI)19 and fasting insulin levels20 in a two-sample, bidirectional MR approach.
Methods
Defining genetic instruments
For BMI, a genetic instrument was constructed using 97 BMI-associated SNPs and their effect sizes (and associated standard errors) as estimated in a large-scale multi-ethnic meta-analysis of Genome wide Association Studies conducted by the Genetic Investigation of Anthropometric Traits (GIANT) consortium (n = 339,224)19. To generate the corresponding SNP-outcome (i.e., insulin) association, we took effect estimates and standard errors from publicly available results of a GWAS meta-analysis conducted by the Meta-Analysis of Glucose and Insulin-related traits Consortium (MAGIC) (n = 133,010)20.
For fasting insulin, a genetic instrument was constructed using 14 fasting insulin-associated SNPs and their effect sizes (and associated standard errors) as estimated in a large-scale meta-analysis of GWAS in the MAGIC consortium20. Although 19 SNPs were identified as being robustly associated with insulin in this meta-analysis, an additional 5 SNPs were identified in a GWAS of insulin only when adjusted for BMI; therefore, these SNPs were excluded due to potential bias induced in the genetic associations in this context21. To generate the corresponding SNP-outcome association (i.e., BMI), we took effect estimates and standard errors from a GWAS meta-analysis conducted by the GIANT consortium19.
Where the exposure SNPs were not available in the outcome data, we identified proxy SNPs in linkage disequilibrium (r2 > 0.8 and within 250kb of the target SNP) to use in analyses. Given an absence of proxy SNPs for 7 of the BMI SNPs in the fasting insulin GWAS, we repeated analyses using summary data from a previous GWAS effort by MAGIC22, consisting of data obtained in up to 46,186 non-diabetic participants. GWAS summary results available for this study consisted of 1,860,357 SNPs directly genotyped or imputed from HapMap CEU sample data, compared with 64,436 SNPs directly genotyped on the MetaboChip array, which were available in the larger study used in our main analysis. All 97 BMI SNPs were present in this GWAS summary dataset and therefore there was no need to identify proxy SNPs.
Statistical analyses
All analyses were performed using the MR-Base “TwoSampleMR” package23 in R version 3.2.2. We harmonized the SNP-exposure and SNP-outcome associations using the MR-Base “harmonise_data” function23 to ensure that the associations obtained from the exposure and outcome GWAS summary-level data were coded relative to the same effect allele of each SNP. All harmonized SNP-exposure and SNP-outcome associations were combined using the inverse-variance weighted (IVW) method17. This produces a causal estimate of the exposure-outcome association, which is equal to the coefficient from a weighted regression of the SNP-outcome on the SNP-exposure association estimates, where weights are the inverse of the precision of the SNP-outcome coefficients and the intercept is constrained to zero.
Sensitivity analyses
Investigating potential pleiotropy and prevailing direction of effect
The existence of directional pleiotropy, where a genetic instrument has an effect on an outcome independent of its effect on the exposure, is a particular problem for MR, especially when using multiple genetic variants where the function of variants identified in GAWS is unknown.
One indication of pleiotropy is a high degree of heterogeneity between causal estimates of the individual SNPs combined in the IVW method. In the meta-analysis of the individual SNP estimates, we therefore calculated Cochran’s Q-statistic to estimate the degree of heterogeneity (p[het]) and Cook’s distance24 as a measure of the aggregate impact of each SNP in the model. We also applied the MR-Egger regression technique17, which was used to test overall directional pleiotropy and provide a valid causal estimate, taking into account the presence of pleiotropy. Violation of the no measurement error (NOME) assumption of the SNP-exposure estimates was addressed using simulation extrapolation (SIMEX) to adjust the MR-Egger estimate for regression dilution 25. Further to this, we applied the weighted median method, which provides a valid causal estimate under the assumption that up to 50% of the weight in the analysis stems from instrumental variables are invalid18, and the weighted mode method, which provides valid estimates when the largest number of similar causal effect estimates comes from valid instruments, even if the majority of instruments are invalid26.
An important caveat relevant to bidirectional MR, is that these methods are only valid on the condition that the two instruments are independent of one another (i.e., that there is no overlap or linkage disequilibrium between genetic variants included in the construction of the instruments used for the two traits being investigated)10. For example, it is possible that an instrument for insulin may be contaminated by genetic variants directly associated with BMI if there is a causal effect of BMI on insulin. This leads to a violation of the InSIDE (Instrument Strength Independent of Direct Effect) assumption of MR-Egger, which states that the direct pleiotropic effect of the genetic variants on the outcome must be independent of the instrument strength (i.e., the association between the instrument and exposure)17. Therefore, we investigated whether any of the 97 BMI-associated variants and the 14 insulin-associated variants were identical or strongly correlated and repeated the analyses following the exclusion of such SNPs.
As a final sensitivity analysis, we used the Steiger test to provide evidence for the prevailing causal direction, based on the estimated variance explained by the SNPs in the exposure and the outcome27,28.
Investigating insulin secretion vs insulin resistance
Previous studies indicate that genetic variants associated with fasting insulin are involved in different pathways of insulin action, specifically insulin resistance and secretion20,29. Of the 14 SNPs associated with fasting insulin that were used in our main analysis, 6 were previously identified as being directly involved in insulin resistance as they showed associations with low HDL and higher triglycerides20, hallmarks of common insulin resistance (Supplementary Table l).29 To investigate the relevance of these pathways within the context of BMI, we stratified our SNP set into those deemed to be “insulin resistance” SNPs (N=6) and those that were not (N=8) and compared causal estimates with BMI obtained between these strata.
In an extension of this, we used a further list of SNPs29, which included an additional 4 variants associated with insulin resistance (totaling 10 SNPs) and 21 variants associated more specifically with insulin secretion (Supplementary Table 2), and then compared the causal effect of fasting insulin on BMI between these strata.
Results
Using the available 90/97 SNPs robustly associated with BMI that were presentin the MAGIC GW AS summary results (total r2 = 2.5%; F-statistic = 95.6), there was a 0.21 (95% Cl 0.17, 0.24) log pmol/L increase in fasting insulin per SD (4.5kg/m2) increase in BMI (P=1.57×l0'32), although there was some evidence of heterogeneity for the individual causal estimates obtained for each variant (P(het) = 7.07xl013) (Table 1, Figure 2),
Results of Mendelian randomization analysis with body mass index as the exposure and insulin as the outcome
Schematic representation of bidirectional Mendelian randomization of BMI and insulin
Mendelian randomization analysis estímate of the association of genetically-elevated body mass index on fasting insulin levels using 90 SNPs robustly associated with BMI as instrumental variables
While the results of the MR analysis provided suggestive evidence for a causal effect of adiposity on increasing insulin levels using data from the most recent GIANT19 and MAGIC20 GWAS efforts for BMI and fasting insulin, respectively, we repeated analyses using summary data on all 97 SNPs robustly associated with BMI, which were present in the previous MAGIC GWAS effort22, consisting of data obtained in up to 46,186 nondiabetic participants. The IVW method gave a causal estimate similar to that previously obtained in the main analyses (0.18 (95% CI 0.14, 0.21) log pmol/L increase in fasting insulin per SD increase in BMI (P=2.02×l0−20)). There was less evidence of heterogeneity for the individual causal estimates obtained for each variant (P(het) = 0.05).
In the reverse direction, using 14 SNPs robustly associated with fasting insulin that were presentin the GIANT GWAS summary results (r2 = 0.4%; F-statistic = 35.0), there was a 0.58 (95% CI −0.20,1.36) SD increase in BMI per log pmol/L increase in fasting insulin (P=0.14) (Table 2, Figure 3). However, there was evidence of heterogeneity for the individual causal estimates obtained for each fasting insulin-associated variant (P(het) =1.83 × 10−146).
Results of Mendelian randomization analysis with insulin as the exposure and body mass index as the outcome
Mendelian randomization analysis estimate of the association of genetically-elevated fasting insulin levels on body mass index using 14 SNPs robustly associated with BMI as instrumental variables
Sensitivity analysis
Investigating potential pleiotropy and prevailing direction of effect
All approaches provided evidence of a positive causal effect of BMI on insulin, with the causal estimate from both the MR-Egger, weighted median and weighted mode being very similar to that obtained by the IVW method (Table 1, Supplementary Figure la). When plotting the instrument strength (i.e., the genetic associations with BMI) against the individual IV estimates in a funnel plot, there was a degree of asymmetry (Supplementary Figure lb), suggesting some level of directional pleiotropy. However, this was largely driven by one variant in the HHIP gene region and the MR-Egger intercept estimate of 0.001 (95% CI −0.002, 0.003; P = 0.62) was consistent with the null. Calculation of Cook’s distance showed four variants (including the HHIP variant) to have a disproportionate level of influence on the model compared to the other variants in the set (Figure 4a). Three out of four of these variants were found to be identical or in strong LD with genetic instruments for fasting insulin (Table 3).
Cook’s distance applied to the IVW analysis to assess outliers (A) for effect of BMI on fasting insulin (B) for effect of fasting insulin on BMI Figure 5 – Genetic associations between BMI and fasting insulin stratified by relationship with insulin resistance
Overlapping loci between BMI and insulin genetic instrument lists
All approaches provided suggestive evidence of a positive causal effect of insulin on BMI, with the causal estimate from MR-Egger being larger than the weighted median, weighted mode and IVW estimates (3.76 SD (95% CI −0.48, 8.00; P = 0.11), although with wide confidence intervals (Table 2, Supplementary Figure 2a). The asymmetry shown in the funnel plot of the instrument strength (i.e., the genetic associations with insulin) and the IV estimates (Supplementary Figure 2b) provided some evidence of negative directional pleiotropy, although the MR Egger regression was consistent with the null (intercept = −0.05 (95% CI −0.14, 0.02); P = 0.16). Calculation of Cook’s distance showed one variant, in the FTO gene region, to have a disproportionate level of influence on the model compared to the other variants in the set (Figure 4b). This variant is in strong LD with another SNP used as a genetic instrument for body mass index (Table 3).
Of the insulin-associated SNPs used in this analysis, the FTO variant was most likely to have an effect on fasting insulin entirely mediated through BMI20. In line with this and as anticipated, there was evidence for a strong positive pleiotropic effect of the FTO variant on BMI (Supplementary Figure 2a). However, as the MR-Egger approach assumes that causal estimates for the stronger genetic variants should be closer to the true causal effect, this approach treats the effect estimates obtained from variants such as FTO as the least invalid17. As such, the MR-Egger estimate indicates directional pleiotropy in the negative direction when, in actual fact, the pleiotropic effect of FTO may induce a spurious positive effect of insulin on BMI in both the IVW and MR-Egger analyses. We therefore repeated the analyses, excluding FTO along with any other variants that were found to overlap the list of genetic variants for both BMI and insulin.
In analysis excluding overlapping loci, similar estimates for the causal effect of BMI on insulin to that previously identified were obtained for all three approaches, with a 0.20 (0.17, 0.23) log pmol/L increase in fasting insulin per SD increase in BMI (P= 2.80 × 10−36) in the IVW analysis and a 0.12 (0.03, 0.21) log pmol/1 increase in fasting insulin (P=0.01) in the MR-Egger analysis (Supplementary Table 3, Supplementary Figure 3). The intercept of the MR-Egger regression was consistent with the null (intercept = 0.002 (−0.0001, 0.004), P = 0.06), suggesting no strong directional pleiotropic effect However, evidence for heterogeneity of the individual causal estimates obtained for each BMI-associated variant on fasting insulin remained (P(het) = 8.70 × 10−5).
Using summary data on the full 97 SNPs from the previous MAGIC GW AS effort22, effect estimates from MR-Egger, weighted median and weighted mode approaches were also consistent with this analysis, and the MR-Egger intercept (0.0003 (95% Cl −0.003, 0.002)) indicated no directional pleiotropy (Supplementary Table 4). Furthermore, results were largely unchanged after removing overlapping SNPs associated with fasting insulin (IVW estimate = 0.17 (95% CI 0.13, 0.21; P=4.47×l0−19, P(het)=0.24) (Supplementary Table 5).
With the exception of the weighted median and weighted mode approaches, estimates for the causal effect of insulin on BMI attenuated with the exclusion of these overlapping variants, with a 0.01 (−0.39, 0.38) SD decrease in BMI per log pmol/L increase in fasting insulin (P= 0.98) in the IVW analysis (Supplementary Table 6, Supplementary Figure 4), The intercept of the MR-Egger regression was negative, although with a smaller magnitude and wide confidence intervals (intercept = −0.02 (95% CI −0.06, 0.02), P = 0.39), providing no strong evidence of directional pleiotropy. Furthermore, calculation of Cook’s distance showed no outliers (Supplementary Figure 5a). However, there was evidence for heterogeneity of the individual causal estimates obtained for each fasting insulin-associated variant on BMI (P(het) = 1.58 x 10−13)
There was evidence for heterogeneity in the individual SNP estimates in all of the stratified analyses; therefore, it remains possible that there is violation of the InSIDE assumption in these analyses (for example if some of the SNPs being used as instruments for insulin resistance or insulin secretion have a direct effect on BMI), However, the Steiger test provided evidence against this in most analyses, where the tested direction of effect was found to be the prevailing causal direction (Supplementary Table 7),
Investigating insulin secretion vs insulin resistance
One explanation for the level of heterogeneity observed in the individual causal estimates for each fasting insulin-associated variant on BMI is the action of the genetic variants in either insulin secretion or insulin resistance pathways.20 We therefore performed stratified analysis to establish causal effects for 6 “insulin resistance” SNPs (Supplementary Table 8) compared with the remaining 8 variants, based on findings from a previous study20.
The causal effect of fasting insulin on BMI was inverse using the SNPs implicated in insulin resistance (IVW estimate = −0.61SD (95% CI −0.95, −0.26; P=5.34×l0−4)) compared with a positive causal estimate when using the remaining 8 SNPs (IVW estimate = 1.26SD (95% CI 0.25, 2.27; P=0.01) (p(het) between groups <0.001) (Figure 5). The effect estimate obtained using the “insulin resistance” variants was largely unchanged after removing SNPs that were found to overlap with loci associated with BMI (IVW estimate = −0.53SD (95% CI −0.91, −0.15; P=0.006), although the positive causal estimate obtained using the other variants was halved (IVW estimate= 0.42SD (95% CI 0.11, 0.72; P=0.007) (Supplementary Table 9, Supplementary Figure 6).
Genetic associations between BMI and fasting insulin stratified by relationship with insulin resistance
Using the more comprehensive list of “insulin resistance” variants (N=10) and “insulin secretion” variants (N=18/21 which were present in the GWAS summary results) (Supplementary Table 10), the effect estimates were similarly inverse when using the insulin resistance SNPs (IVW estimate = −0.72SD (95% CI −1.06, −0.38; P=4.16×l0−5) and positive when using “insulin secretion” variants 1.06SD (95% CI 0.34,1.79; P=0.004) (Supplementary Table 10, Supplementary Figure 7) although MR-Egger was less well powered to detect strong evidence for causality. Furthermore, the MR-Egger intercept was consistent with the null, providing no evidence for directional pleiotropy. However, for all stratified analyses the 12 values were very low, indicating instability in the MR-Egger estimates. For all of stratified analyses, the weighted I2 values were very low (0-22%), indicating instability in the MR-Egger estimates. We therefore did not implement MR-Egger regression or SIMEX adjustment for this particular analysis.
Nonetheless, for all of stratified analyses, weighted median and mode estimates were typically consistent with the IVW estimates.
Discussion
Summary of findings
The observational association between adiposity and insulin levels is well established4and the genetic correlation between the two traits has been found to be 0.65 (SE=0.06; p = 1.81×l0−25)30,31. This study used a MR approach to investigate the direction of causality in the association.
Results obtained from the analysis suggest that the positive correlation between adiposity and fasting insulin levels are at least in part explained by the causal effect of adiposity on increasing insulin. However, insufficient evidence was provided regarding a causal effect of increasing insulin on adiposity and thus the “insulin-carbohydrate” hypothesis of weight gain was not supported in this analysis.2
Furthermore, we identified a high degree of heterogeneity in the causal estimates obtained from the list of variants associated with insulin. This heterogeneity may be attributed to varying mechanisms of action of the insulin-associated variants. The insulin-related variants found to be inversely associated with BMI have all been determined to be “insulin resistance” SNPs in previous studies where they showed an inverse association with adiposity.29,32 This inverse association, which is in the opposite direction to that anticipated, has been attributed to the loci having primary effects on subcutaneous adipocyte function and distribution,29,33,33 although the extent of directional pleiotropy was not strong for these variants in the MR-Egger analysis.
In the stratified analysis to establish causal effects using the “insulin resistance” SNPs compared with the remaining 8 variants, there was some evidence for a positive causal estimate obtained using the remaining variants. However, this effect was halved when removing SNPs that were found to overlap with loci associated with BMI. Furthermore, as the partitioning of insulin resistance and non-resistance SNPs was determined based on their associations with HDL and triglycerides29, which in turn are causally influenced by BMI, this might induce spurious associations through collider bias.34,35 When using a more comprehensive list of “insulin secretion variants”, there was some evidence for a positive causal effect, although the Steiger test provided some evidence that the SNPs were not having a direct effect through BMI. The lack of robust causal effect is consistent with previous findings showing little evidence of an association between genetic variants associated predominantly with insulin secretion and a number of anthropometric traits,29 again casting doubt on the causal role of hyperinsulinemia on obesity.
Strengths and limitations
A major strength of MR analysis in this context is that it enables an assessment of the direction of causality in an observed association between two traits. In particular, the use of genetic variants robustly associated with the exposures of interests and the two-sample design utilising publicly available data from large-scale meta-analyses have been used to maximise power to detect causal effects in this context10,23
This two-sample approach can also be used to address issues of weak instrument bias present in a one-sample setting which elevates the rate of Type 1 errors. In a two-sample MR analysis, any bias due to weak instruments is in the direction of the null.36 While this protects against inflated Type 1 error rates, this bias may lead to lower power to detect a causal effect, which could potentially explain the lack of causal effect of insulin on body mass index where the genetic instrument explained just 0.4% of the variance in insulin. However, overlap between the two datasets used in a two-sample MR approach can mitigate this bias towards the null37, which in the case of MAGIC and GIANT is ∼48,000 individuals.
A limitation of MR is the presence of a pleiotropic association of a genetic variant with the outcome which is independent of the exposure of interest. However, the use of MR-Egger regression, weighted median and weighted mode techniques have been used to provide estimates of causal effects that are robust to the presence of pleiotropy in different but complementary ways. While the sensitivity analyses left the causal estimate of BMI on insulin levels unchanged, the estimate from MR-Egger was larger than the IVW estimate for the causal effect of insulin on BMI. However, a limitation of the MR-Egger approach highlighted in this work was the violation of the InSIDE assumption due to the presence of the same variant in the SNP list for the exposure and the outcome. When overlapping SNPs were excluded, the causal effect of insulin on BMI was reduced in both the IVW and MR-Egger analyses.
Efforts (led by the MAGIC consortium) are already underway to identify additional variants associated with fasting insulin levels with the results of a trans-ethnic analysis involving more than 280,000 non-diabetic individuals from 144 studies currently being prepared.38 Preliminary results suggest 62 loci (43 novel) associated with fasting insulin. While the addition of these loci to the set available for future MR analyses may improve our ability to predict fasting insulin as an exposure (i.e. increase the variance explained), the difficulties highlighted in this analysis regarding heterogeneity of effects and potential pleiotropy are only likely to be enhanced. Additional work is needed to determine the functionality of the insulin-related variants in order to obtain the most reliable variants to improve the validity of the MR analysis assessing the causal effect of insulin on adiposity. Furthermore, while in this analysis we only assessed the causal effect of fasting insulin, the causal impact of other glycemic traits, including insulin response, on adiposity remain to be fully established.
Implications
Overall, no clear causal effect of insulin on BMI was established compared with the strong effect of increasing BMI on insulin levels. This analysis draws to question the validity of the alternative hypothesis of weight gain based on anabolic effects of insulin induced by a high-sugar diet2 The lack of causal effect of insulin on body mass index is aligned with findings demonstrating no genetic link between sugar metabolism and BMI assessed using copy number variation at the human amylase locus39 and a genetic variant in FGF21 recently associated with sweet intake and preference40.
N.B. Results based on random-effects meta-analysis so differ slightly from those based on IVW in Supplementary Table 8
Funding/support
All authors work in the Medical Research Council Integrative Epidemiology Unit (IEU) at the University of Bristol which is supported by the Medical Research Council (MC_UU_12013/1, MC_UU_12013/2, MC_UU_12013/3) and the University of Bristol. RCR is supported by CRUK (C18281/A19169). JB is funded by a Medical Research Council Methodology Research Fellowship (grant number MR/N501906/1). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Acknowledgements
We would like to thank Jie Zheng for his help with the implementation of LD Hub http://ldsc.broadinstitute.org/1 to estimate genetic correlation and sample overlap.