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. 2021 Feb 25;18(2):e1003536. doi: 10.1371/journal.pmed.1003536

Vitamin D levels and risk of type 1 diabetes: A Mendelian randomization study

Despoina Manousaki 1,2,*, Adil Harroud 3,4, Ruth E Mitchell 5,6, Stephanie Ross 7, Vince Forgetta 8, Nicholas J Timpson 5, George Davey Smith 5,6, Constantin Polychronakos 9,10,11, J Brent Richards 8,9,12,13,14
Editor: Timothy M Frayling15
PMCID: PMC7906317  PMID: 33630834

Abstract

Background

Vitamin D deficiency has been associated with type 1 diabetes in observational studies, but evidence from randomized controlled trials (RCTs) is lacking. The aim of this study was to test whether genetically decreased vitamin D levels are causally associated with type 1 diabetes using Mendelian randomization (MR).

Methods and findings

For our two-sample MR study, we selected as instruments single nucleotide polymorphisms (SNPs) that are strongly associated with 25-hydroxyvitamin D (25OHD) levels in a large vitamin D genome-wide association study (GWAS) on 443,734 Europeans and obtained their corresponding effect estimates on type 1 diabetes risk from a large meta-analysis of 12 type 1 diabetes GWAS studies (Ntot = 24,063, 9,358 cases, and 15,705 controls). In addition to the main analysis using inverse variance weighted MR, we applied 3 additional methods to control for pleiotropy (MR-Egger, weighted median, and mode-based estimate) and compared the respective MR estimates. We also undertook sensitivity analyses excluding SNPs with potential pleiotropic effects. We identified 69 lead independent common SNPs to be genome-wide significant for 25OHD, explaining 3.1% of the variance in 25OHD levels. MR analyses suggested that a 1 standard deviation (SD) decrease in standardized natural log-transformed 25OHD (corresponding to a 29-nmol/l change in 25OHD levels in vitamin D–insufficient individuals) was not associated with an increase in type 1 diabetes risk (inverse-variance weighted (IVW) MR odds ratio (OR) = 1.09, 95% CI: 0.86 to 1.40, p = 0.48). We obtained similar results using the 3 pleiotropy robust MR methods and in sensitivity analyses excluding SNPs associated with serum lipid levels, body composition, blood traits, and type 2 diabetes. Our findings indicate that decreased vitamin D levels did not have a substantial impact on risk of type 1 diabetes in the populations studied. Study limitations include an inability to exclude the existence of smaller associations and a lack of evidence from non-European populations.

Conclusions

Our findings suggest that 25OHD levels are unlikely to have a large effect on risk of type 1 diabetes, but larger MR studies or RCTs are needed to investigate small effects.


Despoina Manousaki and co-workers investigate vitamin D levels and risk of type I diabetes.

Author summary

Why was this study done?

  • Observational epidemiological studies have associated low vitamin D levels with risk of type 1 diabetes; however, these studies are susceptible to confounding and reverse causation, and thus it remains unclear whether these associations are accurate.

  • To our knowledge, there are no randomized controlled trials published to date on this topic.

  • If vitamin D insufficiency did cause type 1 diabetes, this would be of clinical relevance for type 1 diabetes prevention in high-risk individuals, since vitamin D insufficiency is common and safely correctable.

What did researchers do and find?

  • We applied a Mendelian randomization study design to understand if vitamin D levels are associated with a higher risk of type 1 diabetes. This approach offers an alternative analytical technique able to reduce conventional patterns of confounding and reverse causation and reestimate observations in a framework allowing causal inference.

  • Our study did not find evidence in support of a large effect of vitamin D levels on type 1 diabetes. However, the findings do not exclude the possibility that there may be smaller effects than we could not detect.

What do these findings mean?

  • Our findings suggest that the previous epidemiological associations between vitamin D and type 1 diabetes could be due to confounding factors, such as latitude and exposure to sunlight.

  • Our results do not support increasing vitamin D levels as a strategy to decrease the risk of type 1 diabetes.

Introduction

Type 1 diabetes is a relatively common autoimmune disease affecting the pancreatic beta cell. Its incidence is increasing worldwide [1], and it inflicts substantial life-long morbidity, affecting patients during childhood and throughout their adult life. Currently, there are no known therapies that can be used in the prevention of type 1 diabetes, but evidence exists that low vitamin D level may play a role in predisposition to this disease.

Animal studies [25] and observational studies [610] have shown that reduced levels of serum 25 hydroxyvitamin D (25OHD) are associated with an increased risk of type 1 diabetes. Additionally, it has been shown that vitamin D could prevent cytokine-induced apoptosis of human pancreatic islets [11]. In an observational birth cohort of 10,366 children, vitamin D supplementation was associated with a decreased risk of type 1 diabetes as compared to those who did not receive supplementation (relative risk (RR): 0.12, 95% CI 0.03 to 0.51) [6]. In a large prospective study on 8,676 children from the TEDDY cohort, the authors reported a weak association between 25OHD levels and odds of type 1 diabetes (odds ratio (OR) = 0.93 for a 5-nmol/L difference; 95% CI 0.89, 0.97) [12]. The most recent observational evidence comes from a nested case-control study in the TRIGR cohort, which showed a protective role of higher 25OHD levels [13].

Conversely, a recent study on 1,316 children with diagnosed type 1 diabetes showed an unexpected inverse association between vitamin D intake and fasting C-peptide, a marker of residual insulin production from the pancreatic beta cell [7]. A small prospective study in 252 Finnish children showed no difference in 25OHD levels among these who progressed to type 1 diabetes compared to controls [14]. A larger observational study in children at risk for type 1 diabetes showed that neither increased 25OHD levels nor vitamin D supplementation were associated with islet autoimmunity [15], while a separate study showed no difference in 25OHD levels of newly diagnosed children with type 1 diabetes compared to those of their healthy siblings [16]. Another prospective study [17] demonstrated an association of low 25OHD with presence of pancreatic islet autoantibodies but not with progression to type 1 diabetes. It is important to note that prospective studies of the effect of 25OHD levels on type 1 diabetes starting before the occurrence of islet autoantibodies are less susceptible to reverse causation compared to other study types in the field.

The link between vitamin D and type 1 diabetes may be mediated by the effects of vitamin D on the immune system. There is evidence that the active form of vitamin D, 1,25-dihydroxyvitamin D, is an immune modulator, reducing activation of the immune system [18]. It has been argued that vitamin D has also nonimmunologic effects on the pancreas and thus may directly influence beta-cell function [19].

The reason the epidemiological associations have not led to changes in clinical care is because the aforementioned observational studies can be hampered by confounding or reverse causation. In this scenario, confounding could cause a spurious association if vitamin D and type 1 diabetes are actually linked through an unobserved association with another disease determinant, such as latitude or ethnicity. According to the “sunshine hypothesis” [20], the increasing prevalence of this disease can be explained by the fact that less time is spent outdoors and there is less exposure to ultraviolet radiation, leading to vitamin D deficiency. This hypothesis basically comes from the observation that countries closer to the equator have lower rates of type 1 diabetes [21] and from the seasonal variations in its incidence, with most cases being diagnosed in winter [22]. Also, patients affected by type 1 diabetes are more sensitive to ultraviolet radiation and have less skin pigmentation than healthy controls [23], which could suggest that reduced sun exposure might account for the low level of vitamin D in these patients. Reverse causation can represent another limitation of the observational studies. For instance, the onset of type 1 diabetes may lead individuals to remain indoors because of fear of hypoglycemia with physical activity, which would decrease vitamin D levels due to reduced sunlight exposure. Given these findings and in the absence of evidence from randomized controlled trials (RCTs), strongly implicating vitamin D as a causal factor in etiology of type 1 diabetes in humans remains difficult.

However, support for a causal role for vitamin D in type 1 diabetes would have important public health implications. The prevalence of this disease under the age of 14 years old is expected to rise by 3% annually worldwide [24]. In addition, the prevalence of vitamin D insufficiency is estimated to be 43% in the general population [25] and is also increasing [26]. There is a significant economic burden and long-term care costs associated with type 1 diabetes [27]. In contrast, an annual supply of 1,000 IU vitamin D supplements satisfying the Institute of Medicine’s intake guidelines for sufficiency [28] costs approximately $30 to $40. Therefore, ensuring vitamin D sufficiency among individuals at high risk for type 1 diabetes may be explored as a cost-effective approach to reduce risk, if clinical trial evidence supports a role for vitamin D administration in the prevention of this disease. Despite this, the considerable controversy in the available epidemiological data has prevented the conduct of large-scale RCTs, also because such trials would be expensive and reliant upon funding of the public purse, since vitamin D cannot be patented. Therefore, it is necessary to better understand the causal relationship between vitamin D and type 1 diabetes in humans, in order to provide evidence to support or not a costly RCT.

Mendelian randomization (MR) is a method in genetic epidemiology which uses genetic variants reliably associated with exposures of interest to estimate causal associations between a given biomarker, such as vitamin D, and disease. These studies have orthogonal assumptions to conventional techniques and are arguably less prone to reverse causation since disease states usually do not change the germline DNA sequences [29]. Most importantly, MR can limit confounding, since genotypes are randomly assorted at meiosis [30]. In this regard, the MR framework can be compared to that of an RCT because the random assortment of genetic variants replicates the random allocation of study participants to different therapeutic arms. Lastly, since genetic variants remain stable over a lifetime, MR studies provide insights from a lifetime of genetically altered biomarker levels, which, in this case, is lowered 25OHD levels. Therefore, we elected to perform an MR study using single nucleotide polymorphisms (SNPs) from the largest genome-wide association study (GWAS) for vitamin D to date on 443,734 Europeans [31], and their effects on type 1 diabetes from a recent large meta-analysis of GWAS on 9,358 cases and 15,705 controls [32].

Methods

The present study did not follow a prespecified analysis plan or protocol. Ethics approval was not required for this study. We provide a completed STrengthening the Reporting of OBservational studies in Epidemiology (STROBE) checklist for the study (see S1 STROBE Checklist).

Genetic variants associated with vitamin D

To assess whether genetically lowered vitamin D levels are associated with increased odds of type 1 diabetes, we identified, among the conditionally independent SNPs of a large 25OHD GWAS meta-analysis (n = 443,734) [31], the lead common independent SNPs associated with 25OHD. To satisfy the first MR assumption, which requires that the instrument (SNP) robustly associates with the exposure (25OHD level), we chose as instruments SNPs which were associated with 25OHD levels at a level of genome-wide significance (p < 6.6 × 10−9). We selected only common SNPs among the conditionally independent SNPs, to ensure that our instruments are truly in linkage equilibrium, since the r2 as metric of linkage disequilibrium (LD) is less accurate for rare variants [33]. Also, rare variants with minor allele frequency (MAF) <0.5% were generally absent in the type 1 diabetes GWAS. We extracted estimates of the effects of these 25OHD-associated variants on type 1 diabetes from a large GWAS meta-analysis of 12 European studies, totaling 9,358 cases and 15,705 controls [32]. Details on the demographics of the cohorts participating in the 25OHD and type 1 diabetes GWAS can be found in the respective publications [31,32]. We also estimated the total variance explained in 25OHD by our genetic instruments. The variance explained for a given SNP was calculated using the formula: variance explained = 2β 2 ƒ (1 –ƒ), where β and ƒ denote the effect of the SNP on 25OHD level and the MAF, respectively.

For 25OHD-related variants not directly present in the type 1 diabetes GWAS, we selected proxy SNPs in LD (r2 > 0.7) using the LDproxy function in LD link (https://ldlink.nci.nih.gov) and all EUR populations from 1,000 genomes phase 3.

Mendelian randomization analyses

We performed a main analysis using an inverse-variance weighted (IVW) two-sample MR to estimate the effect of a 1 standard deviation (SD) increase in standardized natural log-transformed 25OHD on type 1 diabetes susceptibility, using previously described methods [34]. Specifically, the effect of each variant on risk of type 1 diabetes was weighted by its effect on 25OHD using the Wald ratio method. These individual MR estimates were then combined in a random effect inverse-variance meta-analysis. To help the interpretation of our MR results, we also expressed our MR estimates as the effect of a given nmol/l change in 25OHD levels (corresponding to 1 SD in standardized natural log-transformed 25OHD) in vitamin D–deficient, vitamin D–insufficient, and vitamin D–sufficient individuals, defined as individuals having 25OHD levels at the clinically relevant thresholds of 25, 50, and 70 nmol/l, respectively.

The second MR assumption requires that the instruments (SNPs) are not associated with phenotypes that could confound the association between the exposure and the outcome. As a sensitivity analysis, MR estimates excluding variants associated with potential confounders were calculated. To do so, we queried in the PhenoScanner database each 25OHD-related SNP used as instrument, in order to identify genetic variants associated with GWAS traits that are potential confounders or could introduce horizontal pleiotropy in the exposure-outcome association (associating variants). We considered positive associations whenever the GWAS p-value of the variant for a trait was below the nominal p-value Bonferroni-corrected for the number of genetic variants (p < 0.05/69 = 0.001). Associations with specific traits appearing more than once per SNP in our Phenoscanner search (meaning that they were present in more than one GWAS) were counted as single entries. Certain traits clustered into larger trait categories; therefore, we grouped these into 14 trait categories (S2 Table). We then counted the number of SNP-trait associations and looked for enrichments of each of the 25OHD SNPs in traits clustering into the 14 categories. While we did not detect associations of our MR SNPs with traits considered as confounders in the association between vitamin D and type 1 diabetes (and therefore eliminated the risk of horizontal pleiotropy), we selected the top 3 trait categories (S1 and S2 Tables), defined as the categories that accumulated the most SNP-trait associations, and performed sensitivity analyses excluding SNPs mapping in each of these 3 categories respectively. We additionally performed a sensitivity analysis excluding SNPs associated with type 2 diabetes and related traits. The rationale for performing sensitivity analyses by omitting SNPs associated with these traits is that the latter might explain how the SNPs act upon 25OHD levels or explain downstream effects (vertical pleiotropy).

The third MR assumption is that the genetic variants must not be associated with the outcome through pathways other than the exposure of interest (referred to as exclusion restriction assumption) [34]. In the context of MR, horizontal pleiotropy refers to a scenario in which this assumption is breached. To test this assumption, we applied different approaches which account for potential pleiotropic effects. First, we tested for heterogeneity of the SNPs used as instruments and generated MR estimates omitting SNPs appearing as outliers [35]. We then applied MR-Egger regression to account for potentially unmeasured pleiotropy [36]. This method consists of a weighted linear regression of the SNP-type 1 diabetes susceptibility on the SNP-25OHD associations. This allows the estimation of an intercept as a measure of the average pleiotropic effect and produces a slope coefficient as a robust to pleiotropy MR estimate. MR-Egger allows a weakening of the exclusion restriction assumption and requires the association of each variant with 25OHD not be correlated with its pleiotropic effect (known as the InSIDE assumption). Additionally, we performed a weighted median analysis [37], which weights individual MR estimates by their precision. This approach relies on the fact that estimates from SNPs without pleiotropic effects are more likely to converge toward the median, while we could expect that pleiotropy will introduce heterogeneity and result in relative outliers. This method provides reliable results when less than 50% of the total weight is coming from variants with pleiotropic effects. Finally, we used a similar approach to the previous, but that relies on a mode-based estimate rather than the median, allowing for even the majority of SNPs to be pleiotropic [38]. Lastly, to further ensure that our estimates were not influenced by pleiotropy, we repeated the MR analysis using only 6 genetic variants for 25OHD levels identified in a previous GWAS and also undertook a separate analysis using 4 among these 6 SNPs, which lie in or next to the DHCR7, CYP2R1, GC, CYP24A1 genes which directly regulate vitamin D synthesis or degradation [39]. By undertaking this variety of sensitivity analyses, and comparing results using these approaches, each one with different underlying assumptions, we ensured that it is unlikely that our findings are biased by of pleiotropy.

We therefore used the MendelianRandomization R package [40], and its default parameters, to compute the 4 different MR estimates [IVW, weighted median, random-effects MR-Egger, and mode-based estimate (MBE)] for the main analysis, including all SNPs, and in the sensitivity analyses omitting SNPs associated with confounders, and proxy SNPs. Notably, the “random” model was selected in the MR Egger and IVW methods, given the presence of heterogeneity in our instruments. The “penalized” parameter also penalized variants with heterogeneous causal estimates. We used the same package to generate scatter plots to compare the MR estimates using different methods. As an additional control for pleiotropy, we applied the global test, outlier test, and distortion test using the MR pleiotropy residual sum and outlier (MR-PRESSO) R package [35]. Specifically, the global test detects horizontal pleiotropy among the MR instruments; the outlier test corrects for horizontal pleiotropy via outlier removal; the distortion test identifies significant distortion in the causal estimates before and after outlier removal.

The type 1 diabetes GWAS was restricted to individuals of European descent, similar to the 25OHD GWAS, in order to limit bias from population stratification. Finally, we undertook power calculations using the method published by Brion and colleagues [41] to test whether our study was adequately powered to detect clinically relevant changes in type 1 diabetes risk. To do this, we set the alpha level to 0.05 and used the estimate of the variance explained by the 25OHD-related SNPs produced by the aforementioned formula.

Results

SNP selection and genetic effect sizes on 25OHD

We used 69 lead common independent SNPs (S1 Table), explaining 3.1% of the variance in 25OHD levels, as instruments in our MR studies. Eight out of the 69 SNPs were absent in the type 1 diabetes GWAS and were replaced by proxies in high LD (r2 > 0.7) (Table 1). Our PhenoScanner search did not reveal any associations, at a Bonferroni-corrected threshold, with any known potentially pleiotropic pathways influencing these 2 outcomes. However, we observed an enrichment in SNPs associated with certain trait categories, in particular blood cell counts, body composition, and serum lipid traits (S1 Table). Specifically, among 1,641 SNP-trait associations with 494 individual traits found by our PhenoScanner search, we observed 246 associations with blood cell counts, 250 associations with body composition traits, and 213 associations with serum lipids. A full description of the SNP-trait associations is provided in S2 Table. We then undertook sensitivity analyses excluding SNPs clustering in each of these 3 trait categories and also excluding SNPs associated with type 2 diabetes–related traits.

Table 1. Results of the MR study testing causal association between low 25OHD and type 1 diabetes.

Full analysis with all SNPs (N = 69)
Analysis Odds ratio CI lower CI upper p-value Egger intercept Intercept p-value
Inverse variance weighted (random) 1.093 0.855 1.396 0.478 heterogeneity: Q = 113.9; p < 0.001
Weighted median 1.139 0.882 1.472 0.318
MR-Egger (random) 1.314 0.948 1.821 0.101 −0.009435201 0.099 heterogeneity Q = 109.5; p < 0.001; I2 univariable MR-Egger = 0.9931612
MBE (simple,1) 1.143 0.902 1.447 0.268
excluding proxy SNPs (N = 61)
Analysis Odds ratio CI lower CI upper p-value Egger intercept Intercept p-value
Inverse variance weighted (random) 1.090 0.844 1.407 0.510 heterogeneity: Q = 101.6; p < 0.001
Weighted median 1.139 0.875 1.483 0.334
MR-Egger (random) 1.261 0.902 1.764 0.175 −0.007952573 0.191 heterogeneity Q = 98.8 p < 0.001; I2 univariable MR-Egger = 0.9938547
MBE (simple,1) 1.121 0.888 1.415 0.337
excluding lipids SNPs (N = 47)
Analysis Odds ratio CI lower CI upper p-value Egger intercept Intercept p-value
Inverse variance weighted (random) 1.050 0.818 1.347 0.703 heterogeneity: Q = 70.0; p = 0.00127
Weighted median 1.132 0.881 1.456 0.332
MR-Egger (random) 1.260 0.918 1.730 0.153 −0.01102054 0.077 heterogeneity Q = 65.5; p = 0.0246; I2 univariable MR-Egger = 0.9951814
MBE (simple,1) 1.109 0.880 1.398 0.381
excluding blood cell SNPs (N = 34)
Analysis Odds ratio CI lower CI upper p-value Egger intercept Intercept p-value
Inverse variance weighted (random) 1.171 0.741 1.852 0.498 heterogeneity: Q = 72.2; p < 0.001
Weighted median 1.577 0.948 2.623 0.079
MR-Egger (random) 1.738 0.861 3.508 0.123 −0.01539115 0.151 heterogeneity Q = 67.8; p < 0.001; I2 univariable MR-Egger = 0.9878622
MBE (simple,1) 1.212 0.785 1.871 0.386
excluding body composition SNPs (N = 46)
Analysis Odds ratio CI lower CI upper p-value Egger intercept Intercept p-value
Inverse variance weighted (random) 1.111 0.882 1.400 0.372 heterogeneity: Q = 56.7; p = 0.1124
Weighted median 1.161 0.885 1.522 0.281
MR-Egger (random) 1.418 1.066 1.884 0.016 −0.01466228 0.009 heterogeneity Q = 49.2; p = 0.2737; I2 univariable MR-Egger = 0.9950168
MBE (simple,1) 1.218 0.950 1.562 0.120
excluding diabetes SNPs (N = 60)
Analysis Odds ratio CI lower CI upper p-value Egger intercept Intercept p-value
Inverse variance weighted (random) 1.112 0.862 1.436 0.414 heterogeneity: Q = 101.7; p < 0.001
Weighted median 1.149 0.882 1.497 0.304
MR-Egger (random) 1.354 0.971 1.888 0.074 −0.01072743 0.077 heterogeneity Q = 96.5; p = 0.0011; I2 univariable MR-Egger = 0.9939633
MBE (simple,1) 1.179 0.935 1.487 0.165

The OR are per 1 standard deviation decrease in standardized log-transformed 25OHD.

25OHD, 25-hydroxyvitamin D; CI, confidence interval; MBE, mode-based estimate; MR, Mendelian randomization; SNP, single nucleotide polymorphism.

The results of the MR analyses are shown in Figs 13 and Table 1. We did not find evidence supporting a causal association between 25OHD levels and risk of type 1 diabetes (IVW MR OR = 1.09, 95% CI: 0.86 to 1.40, p = 0.48 per 1 SD decrease in standardized log-transformed 25OHD). Similar results were obtained using the other 3 MR methods. We estimated that a 1 SD change in standardized natural-log transformed 25OHD levels corresponds to a change in 25OHD levels of 40.9 nmol/l in vitamin D–sufficient individuals (defined as individuals having 25OHD levels of 70 nmol/l), of 29.2 nmol/l in vitamin D–insufficient individuals (defined as having 25OHD levels of 50 nmol/l), and of 14.6 nmol/l in vitamin D–deficient individuals (defined as having 25OHD levels of 25 nmol/l). Of note, a 29.2-nmol/l change in 25OHD levels is comparable to the 21.2 nmol/L mean increase in 25OHD levels conferred by taking daily 400 IU of cholecalciferol, the amount of vitamin D most often found in vitamin D supplements [42].

Fig 1. Forest plot of the MR study investigating the effect of 25OHD on type 1 diabetes.

Fig 1

Forest plot of the main study and of the sensitivity analysis excluding proxy SNPs. 25OHD, 25-hydroxyvitamin D; MR, Mendelian randomization; SNP, single nucleotide polymorphism.

Fig 3. Scatter plot of the main MR study investigating the effect of 25OHD on type 1 diabetes.

Fig 3

The x-axis represents the genetic association with 25OHD levels; the y-axis represents the genetic association with risk of type 1 diabetes. Each line represents a different MR method. 25OHD, 25-hydroxyvitamin D; MR, Mendelian randomization.

Fig 2. Forest plot of the MR sensitivity analyses excluding SNPs with possible pleiotropic effects.

Fig 2

The odds ratios for type 1 diabetes are reported for a 1 standard deviation decrease in 25OHD on the log scale. 25OHD, 25-hydroxyvitamin D; CI, confidence intervals; MR, Mendelian randomization; OR, odds ratio; SNP, single nucleotide polymorphism.

There was evidence of heterogeneity across the individual MR estimates derived from the 69 SNPs in the main MR analyses (IVW Q > 100, p-value ≤ 0.002 in both MR studies). The intercept estimated from the MR-Egger regression was centered around zero (−0.009, p-value = 0.1) and did not provide strong evidence for unbalanced horizontal pleiotropy. However, using MR-PRESSO, we found evidence for pleiotropy (p-value global test 0.001). The MR estimates for type 1 diabetes did not alter the inference of the results after removing 1 outlier SNPs with increased evidence of pleiotropic effects (S3 Table). Moreover, we conducted sensitivity analyses after removing subsequently 8 proxy SNPs, 35 SNPs associated with blood cell counts, 23 SNPs associated with body composition, and 22 SNPs associated with lipid phenotypes for both outcomes, and also 9 type 2 diabetes SNPs (S1 and S2 Tables). All sensitivity analyses yielded results similar with those of the main analyses. The results of these sensitivity analyses appear in Figs 13. Finally, using only the 6 SNPs for 25OHD identified in a previous GWAS [39], we obtained similar estimates (IVW MR OR = 0.96, 95% CI: 0.58 to 1.58, p = 0.86 per 1 SD decrease in standardized log-transformed 25OHD) (S4 Table). When we limited our MR instruments to only 4 among these 6 SNPs (which involve genes with direct role in vitamin D synthesis and metabolism explaining 2.4% of the variance in 25OHD levels), the results were similar (IVW MR OR = 0.92, 95% CI:0.53 to 1.62, p = 0.78).

Based on a sample size of 25,063 individuals and setting alpha to 0.05, and the variance explained to 3.1%, our study had a power of 80% power to exclude effects on type 1 diabetes as small as an OR of 1.23 per 1 SD change in 25OHD on the log scale and a power of 100% to exclude effects as small as an OR of 1.4.

Discussion

The results of this MR study do not support a causal association between a genetically determined change in 25OHD levels—comparable to the effect of a conventional dose of vitamin D supplementation in a vitamin D–insufficient individual—and risk of type 1 diabetes. Our findings confidently exclude large effects (OR >1.40), given the sufficient statistical power and the consistency of the estimates using different MR methods and in the sensitivity analyses. However, the relatively large confidence intervals of our MR result suggests that small effects cannot be excluded, and further evidence is needed to investigate such effects.

Our results are generally in contrast with observational evidence, largely from northern European populations, supporting a role of low 25OHD in type 1 diabetes [12,13]. They are consistent with those of 3 prospective studies [14,15,17], but, due to the nature of the MR analysis, are less prone to confounding and reverse causation. Our findings are also in agreement with those of a recent observational study in individuals residing in a solar-rich environment [9].

No previous MR studies have been performed to investigate this research hypothesis. Although associations between genetic variants influencing 25OHD levels and risk of type 1 diabetes have been studied in previous works by Cooper and colleagues [43] and Thorsen and colleagues [44], the authors of these papers reported straightforward associations of these variants with disease status in cohorts of type 1 diabetes cases and controls. More recently, a phenome-wide association study by Meng and colleagues [45] examined associations between a polygenic risk score for 25OHD levels comprising 6 SNPs and 920 phenotypes in UK Biobank, among which was type 1 diabetes. The authors found no evidence for positive association of 25OHD with type 1 diabetes. The 3 aforementioned studies do not fulfill the criteria of an MR approach. Also, since these studies were published, our knowledge on vitamin D genetics was substantially expanded with the publication of large vitamin D GWAS meta-analyses [31], providing more precise association tests and a new set of 25OHD SNPs explaining a larger portion of the variance in 25OHD levels.

Our MR approach has several strengths. First, its design decreases potential confounding or reverse causation which are present in observational studies. Eliminating reverse causation is important since type 1 diabetes may be characterized by a preclinical phrase, which renders it difficult to determine whether an exposure precedes the pathological changes to the pancreatic beta cell. Our analysis also captures lifetime risk of type 1 diabetes due to genetically decreased vitamin D, which again is important since a single vitamin D measurement is unlikely to be an accurate predictor of a disease that manifests later in life. Lastly, by employing the two-sample MR approach, we were able to test the effect of vitamin D in a large cohort of type 1 diabetes patients (N = 9,358 type 1 diabetes cases and 15,705 controls). Such two-sample approaches have statistical power comparable to an approach using individual-level data [46]; however, few cohorts have accrued as many cases and controls for type 1 diabetes.

Our analysis also has limitations worth consideration. While we undertook multiple steps to examine pleiotropy, residual bias is possible since the exact function of most of these SNPs is unknown. Even in the case that pleiotropy was not properly accounted for by MR egger (if the INSIDE assumption was violated by some of the SNPs used as instruments), the fact that we obtained consistent results using another 2 pleiotropy robust MR methods and in sensitivity analyses excluding SNPs with pleiotropic effects is reassuring. Canalization is another mechanism which may bias MR results toward the null. In this scenario, the effects of genetically reduced 25OHD levels on pathophysiology of type 1 diabetes may have been mitigated by physiologic compensation [47], which, in this scenario, could lead to an increase conversion of 25OHD to its active form 1,25 dihydroxyvitamin D. In this regard, it might also be possible that the immune effects of vitamin D on the beta cell are correlated to the levels of the active form of vitamin D (1,25 dihydroxyvitamin D), which are weakly correlated with 25OHD levels. Thus, although genetically lowered total 25OHD levels do not appear to be associated with increased risk of type 1 diabetes, our study still leaves open the possibility that reduced lifelong 1,25 dihydroxyvitamin D is indeed associated with type 1 diabetes. However, changes in 25OHD levels are commonly measured to diagnose vitamin D insufficiency and monitor response to vitamin D supplements, in contrast to 1,25 dihydroxyvitamin D levels, which are unstable, have a short half-life, and are not routinely measured in clinical practice.

MR studies can assess the relationship between a biomarker and a disease only at the time point in the life course where the genetic variant has been associated with the biomarker. This may be important if the genetic determinants of 25OHD levels are different in adulthood when compared to childhood, despite lack of evidence from the literature supporting this for 25OHD levels. In this regard, our study could not exclude effects of intrauterine exposure to lower 25OHD levels in the risk of type 1 diabetes in the offspring which have been examined in observational studies [48,49]. Despite the fact that the SNPs used as instruments in our MR were extracted from GWAS in Europeans, the populations of both GWAS were not homogenous in terms of geographic location. It has been shown that there could be some gene-environment interaction in the effect of SNPs in the vitamin D receptor gene on type 1 diabetes risk [50]. Specifically, the effect of these SNPs on type 1 diabetes varies with levels of ultraviolet irradiation, suggesting that the impact in vitamin D–deficient groups differs from that in nondeficient population. This raises a possibility of gene-environment interaction for SNPs affecting 25OHD levels and of nonlinear effects of these SNPs on risk of type 1 diabetes, but two-sample MR studies can only assess linear associations. As such, they do not assess either the effects on disease of having levels of a biomarker in the extremes of the normal distribution. However, it is difficult to assess the impact of the above limitations in our MR study, given the fact that prospective studies have reported a linear relationship between doses of vitamin D supplementation and risk of type 1 diabetes [6]. Our MR results cannot be generalized to non-Europeans and potentially to Europeans residing in different geographic areas than those of the participants in the vitamin D and type 1 diabetes GWAS; and although we assured that both exposure and outcome GWAS were restricted to participants of European ancestry, residual confounding from population stratification cannot be completely excluded in a two-sample MR setting, due to ethnic differences in the exposure and outcome GWAS populations [51]. Finally, there is a possibility that our MR power calculation was overestimated due to overfitting caused by the fact that the variance explained by the vitamin D SNPs was calculated in the same population as the vitamin D GWAS. Unfortunately, we do not have access to an independent cohort where the amount of variance explained by those SNPs could be estimated.

In conclusion, our results identified no large impact of a genetically determined reduction in 25OHD levels on type 1 diabetes risk. This provides critical insight into a complex disease that remains poorly understood. Our findings imply that the observational associations between 25OHD and risk of type 1 diabetes might be due to environmental confounders, such as latitude, which is correlated with exposure to sun and skin pigmentation, but this needs to be investigated in further studies. Since small effects cannot be excluded, our findings need to be confirmed by large RCTs testing the effects of vitamin D supplements in type 1 diabetes, or future MR evidence based on larger GWAS samples for 25OHD and type 1 diabetes risk.

Supporting information

S1 STROBE checklist. A completed STrengthening the Reporting of OBservational studies in Epidemiology (STROBE) checklist for the study.

(DOCX)

S1 Table. List of the 69 conditionally independent common variants used as instruments in the Mendelian randomization studies.

(XLSX)

S2 Table. PhenoScanner traits associated with the 69 SNPs used as instruments in the MR studies.

(XLSX)

S3 Table. Horizontal pleiotropy assessment using MR-PRESSO for the vitamin D-type 1 diabetes MR.

(XLSX)

S4 Table. MR sensitivity analysis with the 6 common variants from the Jiang et al. GWAS.

(XLSX)

Abbreviations

25OHD

25-hydroxyvitamin D

CI

confidence interval

GWAS

genome-wide association study

IVW

inverse-variance weighted

LD

linkage disequilibrium

MAF

minor allele frequency

MBE

mode-based estimate

MR

Mendelian randomization

MR-PRESSO

MR pleiotropy residual sum and outlier

OR

odds ratio

RCT

randomized controlled trial

RR

relative risk

SD

standard deviation

SNP

single nucleotide polymorphism

STROBE

STrengthening the Reporting of OBservational studies in Epidemiology

Data Availability

All relevant data are within the manuscript and its Supporting Information files.

Funding Statement

DM is supported by JDRF (JDRF 3-PDF-2017-370-A-N). JBR is supported by the Canadian Institute of Health Research and Fonds de la recherche en santé du Quebec (FRSQ). A.H. is funded by the NMSS-ABF Clinician Scientist Development Award from the National Multiple Sclerosis Society (NMSS) and the Multiple Sclerosis Society of Canada (MSSC). NJT is a Wellcome Trust Investigator (202802/Z/16/Z), is the PI of the Avon Longitudinal Study of Parents and Children (MRC & WT 217065/Z/19/Z), is supported by the NIHR Biomedical Research Centre at University Hospitals Bristol and Weston NHS Foundation Trust and the University of Bristol (BRC-1215-2001), the MRC Integrative Epidemiology Unit (MC_UU_00011) and works within the CRUK Integrative Cancer Epidemiology Programme (C18281/A19169).GDS works in the Medical Research Council Integrative Epidemiology Unit at the University of Bristol MC_UU_00011/1. Funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Richard Turner

26 Aug 2020

Dear Dr Manousaki,

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Decision Letter 1

Richard Turner

21 Sep 2020

Dear Dr. Manousaki,

Thank you very much for submitting your manuscript "Genetically decreased vitamin D and risk of type 1 diabetes: A Mendelian randomization study" (PMEDICINE-D-20-04125R1) for consideration at PLOS Medicine.

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Requests from the editors:

We note that one reviewer mentions STROBE-MR. As far as we are aware, this has not yet been published in peer-reviewed form, and so we are not requesting that authors of relevant studies use that guideline.

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Comments from the reviewers:

*** Reviewer #1:

This paper looks at the association between Vitamin D and Type 1 diabetes, through a Mendelian randomization framework. It is not a completely novel result, but it is confirmation of the null effect previously published in "Phoneme-wide Mendelian-randomization study of genetically determined vitamin D on multiple health outcomes using the UK Biobank study" https://academic.oup.com/ije/article/48/5/1425/5569493. Unlike that paper, this one focuses only on a single outcome, and so does a range of sensible robustness checks on the result. It is a useful confirmation that will be of interest to clinical researchers, as the observational studies are far from clear and there are not randomly controlled trials on the topic.

The data is sensibly chosen and the analysis method is well done and sufficient to warrant their conclusion. The method is explained in sufficient detail in the main text - some of this could be summarized to make a more streamlined paper, and the detail moved to a supplementary section - and should be reproducible by anyone with access to the data.

The paper is sensibly laid out and should be possible for a interested non-specialist to follow.

No mention is made of the STROBE-MR guidelines, but the paper has followed all the major points.

Figure 2 shows a convincing lack of any pattern, supporting the null result found; however it would be clearer to restrict to just the major method used in the paper (ivw, median, mode, mr-egger) and to add error bars to the points.

I think the power calculations are slightly underestimated. The numbers given in the paper give me 80% power to detect an effect of size 1.23, and 87% power to detect 1.25 (from https://cnsgenomics.com/shiny/mRnd/)

The discussion section needs to include a wider discussion of the current literature. This null result has been shown before in https://academic.oup.com/ije/article/48/5/1425/5569493 "Phenome-wide Mendelian-randomization study of genetically determined vitamin D on multiple health outcomes using the UK Biobank study" (This is easy to miss as the null results are discussed individually in the main body of the paper, but Type 1 diabetes is one of the outcomes in MR-PheWAS and it was no significant as show in this image https://academic.oup.com/view-large/figure/178161527/dyz182f2.tif ) . The instrument they used was weaker (2.84% of trait variance explained using 6 snps) and this confirmation of that result is useful. Clarification as to the degree of overlap in individuals in the outcome datasets & SNPs under consideration between the two studies would be helpful.

A greater prominence should also be given to a discussion of how differing geographic areas of studies may impact the SNPS results. "Variation in Associations between Allelic Variants of the Vitamin D Receptor Gene and Onset of Type 1 Diabetes Mellitus by Ambient Winter Ultraviolet Radiation Levels: A Meta-Regression Analysis" (https://academic.oup.com/aje/article/168/4/358/106033 ) showed that impact of SNPs on T1D varies with UV levels, suggesting that the impact in vitamin D deficient groups differs from that in non-deficient population. How homogeneous is the population under consideration in terms of geographic location? This could also be indicative of a non-linear effect. The authors say that traditional MR methods assume linearity, but there are a range of techniques adapting MR to non-linear situations - https://pubmed.ncbi.nlm.nih.gov/28317167/ or https://www.bmj.com/content/364/bmj.l1042 . If the authors have appropriate data to apply these, they should be considered.

Under limitations, the authors should also explicitly discuss the lack of applicability to other ethnic groups, and potentially other geographic areas.

*** Reviewer #2:

Manousaki et al. used two-sample Mendelian Randomization analyses (MR) to investigate whether genetically determined lower vitamin D status is causally associated with higher risk of type 1 diabetes (T1D). While previous MR analyses of vitamin D status with other outcomes typically have used a 4 SNP genetic risk score as the instrument, the current analysis uses 69 SNPS, from a recent GWAS of around 440 000 participants in UK Biobank. However, these still only explains a small proportion of the variance of vitamin D status (circulating 25-hydroxyvitamin D, 25OHD).

The main analysis showed that a one standard deviation decrease in standardized natural log-transformed 25OHD was not significantly associated with increased risk of T1D, OR=1.09, with moderately wide 95% CI of 0.86 - 1.40. Results seem reasonably robust to sensitivity analyses assessing potential influence of pleiotropy. The authors concluded that a large effect of vitamin D status on T1D is unlikely. In lightly of the suggestive findings from other studies and theoretical potential for initiating intervention studies to prevent T1D, the current study represent important evidence. Large data sets combined with analyses that seem competently executed is a strength. My comments are mostly minor.

COMMENTS

1.Presentation of existing evidence from observational evidence: There is a relatively large literature linking various aspects of vitamin D with T1D, but my assessment is that the authors have not done a balanced assessment / selection of papers to discuss. I would suggest that the authors focus on available prospective studies of 25OHD in the current context. "Cross-sectional" studies comparing 25OHD in people diagnosed with T1D compared to controls are not high-quality epidemiological evidence, as these are clearly much more prone to both selection and reverse causation bias (e.g. refs 5-7), than are prospective studies (e.g. ref 9 and 12). One of the largest prospective studies in the field, with longitudinal 25OHD measurements from early childhood is the TEDDY study (Norris, Diabetes 2018). I would say this is a glaring omission from the intro and discussion. While TEDDY/Norris and TRIGR (Miettinen, ref 12) found evidence of an inverse association, the associations were moderate or weak, and not consistent with Simpson (ref 9) and Raab (ref 11). While islet autoimmunity (IA) is a surrogate endpoint for T1D, it is important to note that prospective studies of 25OHD before IA are less susceptible to reverse causation bias than other study types in the field (but note that Raab measured 25OHD after seroconversion, and is prone to potential reverse causation bias!). Yet another important, prospective study is Makinen/DIPP, J Clin Endocrinol Metab 2016, who found no significant association between longitudinal 25OHD and progression from IA to T1D. Again in the discussion (2nd paragraph), 3 low quality studies are cited to support observational evidence for a causal role of low 25OHD. I understand that it is nice if the story fits into the "MR narrative" where observational studies show an association and MR not, but a balanced review of existing high quality prospective studies are in my mind not consistently showing an inverse association with T1D. Finally, in one of the last paragraphs of the discussion, where the authors discuss limitations, ref 3 (Hypponen Lancet 2001) is cited to support that deviation from linear association between 25OHD and T1D should not be a problem. This is either a typo or an incorrect assessment of this paper. Hypponen 2001 did NOT include measures of 25OHD (and all of the association is based on less than 1% of the study population who deviated from the general advice to take vitamin D supplements), and clearly cannot be used to assess linearity of the potential 25OHD-T1D association.

When the authors discuss the fact that their study cannot exclude the possibility that prenatal vitamin D status could influence T1D risk, I would suggest to cite two large scale prospective studies of maternal or neonatal 25OHD in relation to T1D (showing relatively precise estimates near null): Thorsen AJE 2018 and Jacobsen, Diabetologia 2016 (I am admittedly a co-author on one of them, so I may be biased, but you should at least assess these papers).

Also reference to existing animal studies seems a bit unbalanced in my mind. Ref 8 cited in the introduction is not a study of mice as the authors state, but in vitro studies of human islets. There are many studies of various aspects of vitamin D and diabetes in NOD and other rodent models (in addition to ref 2), of various relevance to humans.

2. SNPs and effects: I am not a GWAS or MR expert, but impression is that the analyses are competently performed. I have couple of comments which may reflect my of expertise. Given that most of the 69 SNPs were recently identified in UKBiobank, can we be confident that the R-square is not upwardly biased due to overfitting? I may be wrong, but after browsing the AJHG paper I could not see that the novel SNPs were replicated? I am worried that if the Rsq is overestimated, then so is the statistical power in the current analysis (and effect estimates probably also biased?). If the UK Biobank were the data set used to identify these novel SNPs, the effect estimates may have been biased (cf winners curse), and Rsq should perhaps have been estimated based on a replication dataset or at least cross validation (I may have browsed too quickly over this in the paper or cited reference, but these aspects should probably be better described).

3. Population stratification? Again this question may reflect my lack of expertise in MR data analysis, but I wonder whether population stratification is properly adjusted for in the analyses. Even if the populations are of European descent, could not population stratification still confound results, if allele frequency and T1D risk differed systematically across strata? (or was this handled by adjusting each of the SNP-25OHD - and SNP - T1D associations for principal components?).

4. calculation and interpretation of statistical power

The paper cited for power calculations (Brien et al. 2013) is for continuous outcomes, not binary such as T1D. Would't it make more sense to use Burgess' method (IJE 2014), for binary outcomes? It may not make a major difference in practice, but would be good to clarify.

Most importantly, based on the given power of 80% under an alternative hypothesis where the true OR is 1.25, the authors state in the end of the results section and again in the first paragraph of the discussion that "…results are robust to exclude large effects (OR >1.25), given ….". I do not think this is a proper interpretation. The test (or analysis) failed to detect a significant association, but did not exclude the possibility that the true OR is 1.25!

MINOR COMMENTS

-a strength in the current study is that all 25OHDs were measured using a single assay (presumably in the same lab). However, the 12 cohorts used for T1D associations could perhaps be described in some more detail (age at onset, selection of controls, control of ethnicity and other types of population stratification, etc. (or did I miss this)

-The authors explained in the methods section that they presented the results in terms of a given contrast in 25OHD, which is important. It would probably help the readers if this was presented right away in the methods where this is explained (and perhaps briefly mentioned in the abstract too; it is after all not a major result).

- While the authors have done a great job at assessing potential pleiotropy, and also discussing potential limitations of the study, my impression is that even with the "traditional" vitamin D pathway SNPs, we do not really know much about the functional consequences of the polymorphism (the fact that they are near a relevant enzymes is of course reassuring, but not enough). Furthermore, one of the loci most robustly associated with 25OHD is GC (encoding Vitamin D-binding protein, DBP), which in addition is also strongly associated with circulating DBP-concentrations. It is admittedly not well established, but a role of DBP in the aetiology of T1D has been suggested in a few studies.

-The first reference cited for incidence of T1D in Canada, is incorrect (reference is about something else), probably a typo. Personally, I would cite a reference showing the incidence not only in a single country, and some of the variation across the world and over time.

-Ref 19 is cited for expected risk in prevalence of T1D worldwide, but ref 19 is about something else! (genetic interactions)

-in the methods section, the authors state that they calculate risk associated with a SD increase, while the actual results were in fact presented as OR for an SD decrease.

-Ziegler ref 18 on skin pigmentation. Could this observation not simply have been due to ethnicity? I am not sure this is convincing evidence for reverse causation.

*** Reviewer #3:

This is a good mendelian randomisation study that tests the important hypothesis that higher vitamin D levels could protect from Type 1 diabetes. The authors have used the latest, recently greatly enlarged set of genetic variants robustly associated with vitamin D as a proxy for vitamin D levels, and the largest set of T1D case control data available (with genetics). In contrast to a study in 2011, with similar numbers of cases the authors find no evidence that Vitamin D levels alter the risk of type 1 diabetes. The methods are all very thorough and a wide range of appropriate sensitivity analyses performed

Main point.

1. This might seem pedantic, but can the authors provide one more sensitivity analysis ? Using the 4 "canonical" SNPs rather than the 6 in the Jiang et al study. I ask for two reasons - the 6 SNPs in Jiang et included 2 outside of the key 4 that lie near key Vit D metabolism and synthesis genes, and it makes sense to exclude these from this very specific test. Second, the Cooper et al study in 2011, did see a positive association with these canonical variants, in what appears to be a very similar set of T1D cases. Third, fig 2 shows nicely how a very small number of much more specific-to-vitamin-D SNPs could have a big influence on the MR result.

2. Many tests show considerable heterogeneity and some MR egger intercept p values suggest there could be meaningful levels of pleiotropy that are hard to properly account for. Many of these pleiotropic effects likely reflect the fact that most SNPs have strong effects on traits other than vitamin D. Although the methods used adjust the models for such effects, none can eliminate all the sources of error. Ultimately, the most useful advance for this question would be a larger sample size for the outcome trait - T1D cases and controls. Given that many of the MR results are trending towards a positive effect of Vit D in protecting from T1D, the question is crying out for a larger sample size.

Minor points:

1. Can a study be biased by confounding ? I think confounding is confounding ? likewise reverse causation is reverse causation , not bias ?

2. Suggest avoid chatty phrases such as "Widely known" and "on the other hand"

3. The background oversells MR a little - it is not immune from many of the issues you describe, such as reverse causation, confounding and not entirely equivalent to an RCT. Suggest qualify.

Tim Frayling

***

Any attachments provided with reviews can be seen via the following link:

[LINK]

Decision Letter 2

Emma Veitch

23 Nov 2020

Re: PMEDICINE-D-20-04125R2

"Decreased vitamin D levels and risk of type 1 diabetes: A Mendelian randomization study"

Dear Dr. Manousaki,

Thank you very much for submitting your revised paper, above, for consideration at PLOS Medicine. The revisions were seen again by all three reviewers, whose comments are enclosed below and at [LINK]; I hope you find them constructive. The reviewers feel that many of their original critiques have been responded to well although some issues remain in their reviews below; the reviewers ask for further modifications to clarify the results and present them in the context of prior evidence in a fuller way.

Given the reviews we can't formally offer publication at this point but would ask you to revise the paper further in response to those reviews and the editors will then reassess.

In revising the manuscript for further consideration, your revisions should address the specific points made by each reviewer and the editors. Please also check the guidelines for revised papers at http://journals.plos.org/plosmedicine/s/revising-your-manuscript for any that apply to your paper. In your rebuttal letter you should indicate your response to the reviewers' and editors' comments, the changes you have made in the manuscript, and include either an excerpt of the revised text or the location (eg: page and line number) where each change can be found. Please submit a clean version of the paper as the main article file; a version with changes marked should be uploaded as a marked up manuscript.

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Format requests from the editors:

*The editors felt it would be good to also mention (briefly) additional possible limitations in the abstract (as are noted in the full discussion section, eg the possibility for pleiotropy and canalization, as well as the point already noted that very small effects can't be excluded.

*Many thanks for including the information about the lack of a prespecified analysis plan per journal policy - however, the point that "group has a long track of published MR studies" could probably be excluded.

*The funding statement in the main manuscript text can be deleted, as this is provided in the submission form (and needs only to be there, not in the actual manuscript as well).

-----------------------------------------------------------

Comments from the reviewers:

Reviewer #1: I disagree with the author's choice not to discuss Meng et. al. paper because the "diseases/traits with null outcomes among the 920 tested are not outlined in the main paper or the supplement". It is clear from the paper (and supplement) that they have used the mapping from ( https://phewascatalog.org/phecodes ) which includes Type 1 diabetes, this can also be seen in reference 8 of the main paper ( https://academic.oup.com/bioinformatics/article/30/16/2375/2748157 ). Given the concern over exact case numbers, they could contact the authors. However the UK Biobank website shows it would be ~ 1000 people ( https://biobank.ctsu.ox.ac.uk/crystal/field.cgi?id=41202 ).

This paper is a clear improvement on that study, as it is focused exclusively on type 1 diabetes and thus able to discuss and investigate the null result in detail, but I still feel adding the confirmation of this result in other sources is important - particularly when they use it to respond to reviewer 3's comments!

Otherwise I think this paper has responded well to my comments and those of the other reviewers, and is ready to publish.

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Reviewer #2: The authors have responded and revised well, with one minor exception. I am not entirely happy with the interpretation of the power calculation. My main point was not about the aboslute power (now 80% power to detect OR of 1.23), but how such a power analysis is interpreted. The authors still say the study "excluded ORs larger than" the calculated smallest OR with 80%. I do not think this is formally correct. If anything, it may be reasonable to say that the study (reasonably) excluded ORs outside the 95% CI. THe fact that you had 80% power to detect true ORs of 1.23 or larger, and you failed, does not mean you excluded such values. At least this is how I have understood this. I am willing to consider a counterargument, but the authors did not really address this in their response.

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Reviewer #3: Many thanks for doing that extra 4 SNP analysis. It is slightly worrying how this result differs from the 2011 result, given the very similar set of outcome cases and SNPs - you might expand a little on why you think the result differs when using the same SNPs and v similar outcome data. I realise they didnt do 2 sample MR so did not accoutn for the SNP-exposure dosage - and I see that the strongest Vitamin D SNP is flat in your data and pulling any protective effect towards the null, but is this one that was associated in the Cooper et al study and what are the differences ?

-----------------------------------------------------------

Any attachments provided with reviews can be seen via the following link:

[LINK]

Decision Letter 3

Richard Turner

18 Dec 2020

Dear Dr. Manousaki,

Thank you very much for re-submitting your manuscript "Decreased vitamin D levels and risk of type 1 diabetes: A Mendelian randomization study" (PMEDICINE-D-20-04125R3) for consideration at PLOS Medicine.

I have discussed the paper with editorial colleagues and it was also seen again by one reviewer. I am pleased to tell you that, provided the remaining editorial and production issues are dealt with, we expect to be able to accept the paper for publication in the journal.

The remaining issues that need to be addressed are listed at the end of this email. Any accompanying reviewer attachments can be seen via the link below. Please take these into account before resubmitting your manuscript:

[LINK]

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Please let me know if you have any questions. Otherwise, we look forward to receiving the revised manuscript soon.   

Sincerely,

Richard Turner PhD

Senior Editor, PLOS Medicine

rturner@plos.org

------------------------------------------------------------

Requests from Editors:

Please submit both clean and tracked files for your next revision.

To your competing interest statement, please add "GDS is a member of PLOS Medicine's Editorial Board." or similar.

We suggest removing the word "Decreased" from the title.

At line 54, should the numbers of cases and controls not add up to the total?

At line 60, please adapt the text as follows: “MR analyses suggested that a one standard deviation decrease in standardized natural log-transformed 25OHD (corresponding to a 29nmol/l change in 25OHD levels in vitamin D insufficient individuals) was not associated with an increase in type 1 diabetes risk (inverse-variance weighted MR OR=1.09, 95% CI: 0.86-1.40, p=0.48).”.

In the abstract and elsewhere in the paper, please avoid statements like "to reasonable/confidently exclude". We would suggest language such as "Our findings indicate that decreased vitamin D levels did not have a substantial impact on risk of type 1 diabetes in the populations studied. Study limitations include an inability to exclude the existence of smaller associations, and a lack of evidence from non-European populations.".

At line 81, please make that "are accurate".

At line 82, please add "to our knowledge".

At line 89, please make that "an alternative".

At line 92, please revise the bullet point to: "Our study did not find evidence in support of a large effect of vitamin D levels on type 1 diabetes. However, the findings do not exclude the possibility that there may be smaller effects than we could detect.” or similar.

At line 98, please revise the bullet point to: “Our results do not support increasing vitamin D levels as a strategy to decrease the risk of type 1 diabetes.”

Please remove the word "Specifically" at lines 110 and 334.

At line 166, please make that "to be".

Around line 200, please adapt the language to "We provide a completed STrengthening the Reporting of OBservational studies in Epidemiology (STROBE) checklist for the study (See S1_STROBE_Checklist)." or similar, and rename the relevant attachment to match.

At line 391, please remove the word "simply" (you may wish to adapt the text to "straightforward associations ...").

At line 411, please substitute "estimate", or similar, for "test".

At line 465, please reword "failed to identify", e.g., to "... identified no large impact ...".

Throughout the paper, please remove spaces from within the reference call-outs (e.g., "... diabetes [12,13].").

Please revisit table 1. We generally ask that p values are quoted as "p<0.001" where appropriate, unless there is a specific statistical reason to do otherwise. There is also a value with two decimal points in this table. Please correct all misspellings of "intercept".

Please also look over the supplementary tables, correcting any similar issues.

Please reformat the attached STROBE checklist, which would be much clearer if the entries regarding locations of specific items in the present paper were organized into a right-hand column.

Comments from Reviewers:

*** Reviewer #3:

thanks for the extra info about the 4 SNP instrument. Sorry to prolong the discussion, but i think the fact that you have estimated the exposure effects in 430k people rather than 2k people could be an explanation for the different results, rather than the stronger instrument - you say that you explain more variance in vitamin D but you have also added in a lot more pleiotropy - and pleiotropy that might not be properly accounted for by MR egger - especially if the INSIDE assumptions are violated - which is possible if there is a consistent dose response effect of lipid SNP > vitamin D levels as well as SNP > lipid levels. Can you say how much more variance you explain compared to the 4 canonical SNPs in your added discussion paragraph , and point out the that Egger is not a perfect solution to pleiotropy ?

***

Any attachments provided with reviews can be seen via the following link:

[LINK]

Decision Letter 4

Richard Turner

12 Jan 2021

Dear Dr Manousaki, 

On behalf of my colleagues and the Academic Editor, Prof Frayling, I am pleased to inform you that we agree to publish your manuscript "Vitamin D levels and risk of type 1 diabetes: A Mendelian randomization study" (PMEDICINE-D-20-04125R4) in PLOS Medicine.

Before your manuscript can be formally accepted you will need to complete some formatting changes, which you will receive in a follow up email. Please be aware that it may take several days for you to receive this email; during this time no action is required by you. Once you have received these formatting requests, please note that your manuscript will not be scheduled for publication until you have made the required changes.

In the meantime, please log into Editorial Manager at http://www.editorialmanager.com/pmedicine/, click the "Update My Information" link at the top of the page, and update your user information to ensure an efficient production process. 

PRESS

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We also ask that you take this opportunity to read our Embargo Policy regarding the discussion, promotion and media coverage of work that is yet to be published by PLOS. As your manuscript is not yet published, it is bound by the conditions of our Embargo Policy. Please be aware that this policy is in place both to ensure that any press coverage of your article is fully substantiated and to provide a direct link between such coverage and the published work. For full details of our Embargo Policy, please visit http://www.plos.org/about/media-inquiries/embargo-policy/.

Thank you again for submitting to PLOS Medicine. We look forward to publishing your paper. 

Sincerely, 

Richard Turner, PhD 

Senior Editor, PLOS Medicine

rturner@plos.org

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 STROBE checklist. A completed STrengthening the Reporting of OBservational studies in Epidemiology (STROBE) checklist for the study.

    (DOCX)

    S1 Table. List of the 69 conditionally independent common variants used as instruments in the Mendelian randomization studies.

    (XLSX)

    S2 Table. PhenoScanner traits associated with the 69 SNPs used as instruments in the MR studies.

    (XLSX)

    S3 Table. Horizontal pleiotropy assessment using MR-PRESSO for the vitamin D-type 1 diabetes MR.

    (XLSX)

    S4 Table. MR sensitivity analysis with the 6 common variants from the Jiang et al. GWAS.

    (XLSX)

    Attachment

    Submitted filename: Rebuttal_Plos_Med_AH_REM_njt.docx

    Attachment

    Submitted filename: Rebuttal.R2[1].BR.docx

    Attachment

    Submitted filename: Rebuttal_R3.docx

    Data Availability Statement

    All relevant data are within the manuscript and its Supporting Information files.


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