Reply: Inaccurate measures of outcomes in the two-sample Mendelian randomization of vitamin D with miscarriage
Feng Zhang, Jingtao Huang, Gangting Zhang, Mengyang Dai, Tailang Yin, Chunyu Huang, Jue Liu, Yan Zhang

Abstract
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TopicsGenetic Associations and Epidemiology · Genetic factors in colorectal cancer · Growth Hormone and Insulin-like Growth Factors
Sir,
We thank Yang and colleagues for their interest in our recent article (Zhang et al., 2024). Having carefully reviewed their letter (Yang et al., 2024), we found it very insightful, and we would like to address each of the questions raised in turn.
Concerning Yang et al.’s first comment that ‘Women having “zero” miscarriage were actually those who had at least one stillbirth or termination but no miscarriage’; those women currently categorized into ‘zero’ would be expected to have lower 25-hydroxyvitamin D (25OHD) levels than they should have, i.e. ‘true zeros’. Given the current lack of strong evidence suggesting that women who have experienced a stillbirth or termination have lower 25OHD levels, we believe it is important to exercise caution in making assumptions.
Regarding the comments raised by Yang et al. concerning the effect of 25OHD on number of miscarriages as ‘Beta’ without any clear units, considering that the number of miscarriages is a continuous variable, we have chosen beta as the outcome. The limited unit information provided in the GWAS summary data has resulted in beta values without a clear unit (Revez et al., 2020). Recognizing this limitation, and in order to enhance the clinical interpretability of the results (similar to a previous study (Yuan et al., 2023)), we have described the findings as follows in our original text (Zhang et al., 2024): ‘The primary IVW analysis indicated that for each one-unit increase in genetically determined natural-log-transformed serum 25OHD concentration, there was little causal association with decreased odds of miscarriage (odds ratio (OR) = 0.995, 95% CI: 0.888 to 1.114, P = 0.927; Fig. 2), nor with the number of miscarriages (β = –0.004, 95% CI: –0.040 to 0.032, P = 0.829; Fig. 3)’.
Yang and colleagues also highlighted that ‘In FinnGen, GWAS of pregnancy and perinatal disorders, including miscarriage, are in all women, meaning that those who have never been pregnant, and therefore could not experience a miscarriage, are included as controls’ (Yang et al., 2024). We think they have a valid point, and it could indeed cause some interference with the results of our study. Unfortunately, owing to our limited access to only GWAS summary data and not individual-level data, we were unable to exclude women who have never been pregnant from the control group.
Yang et al.’s concerns primarily center around the accuracy and reliability of the GWAS summary data, which we also acknowledge and have addressed in the discussion of our article (Zhang et al., 2024). We had hoped to examine the original data sources; however, unfortunately, we were unable to access these resources. We look forward to a resolution of this issue in the future to advance research utilizing GWAS data, including Mendelian randomization studies.
Given the potential limitations of some of the GWAS data in our study, we have included both 25OHD concentration and vitamin D deficiency as exposures, as well as miscarriage and number of miscarriages as outcomes in our analysis simultaneously, with the aim to enhance the reliability of our results.
To conclude, as Mendelian randomization studies are flourishing, taking the time to reflect on and improve methodological limitations is very beneficial. We share Yang et al.’s concerns in this regard and hope that with methodological advancements and increased accessibility to original individual-level data, the above-mentioned issues can be more effectively addressed in the future. We also call for more global studies on the efficacy and safety of vitamin D supplementation and its relationship with miscarriage.
The reference list from the paper itself. Each links out to its DOI / PubMed record.
- 1Revez JA , Lin T, Qiao Z, Xue A, Holtz Y, Zhu Z, Zeng J, Wang H, Sidorenko J, Kemper KE et al Genome-wide association study identifies 143 loci associated with 25 hydroxyvitamin D concentration. Nat Commun 2020;11:1647.32242144 10.1038/s 41467-020-15421-7PMC 7118120 · doi ↗ · pubmed ↗
- 2Yang Q , Sun Y, Lawlor DA. Inaccurate measures of outcomes in the two-sample Mendelian randomization of vitamin D with miscarriage. Hum Reprod Open 2024;2024:hoae 025.10.1093/hropen/hoae 025PMC 1110127938764911 · doi ↗ · pubmed ↗
- 3Yuan C , Xiang L, Jian Z, Liao B. Vitamin D levels and risk of male factor infertility: a Mendelian randomization study. World J Mens Health 2023;41:640–648.36593707 10.5534/wjmh.220109 PMC 10307659 · doi ↗ · pubmed ↗
- 4Zhang F , Huang J, Zhang G, Dai M, Yin T, Huang C, Liu J, Zhang Y. No evidence of a causal relationship between miscarriage and 25-hydroxyvitamin D: a Mendelian randomization study. Hum Reprod Open 2024;2024:hoae 011.38456064 10.1093/hropen/hoae 011PMC 10918637 · doi ↗ · pubmed ↗
