and age at first birth, and SLE have been previously reported although these have been based on phenotypic correlations69–71. The majority of these traits (with the exception of age at first birth and systemic lupus erythematosus) demonstrated rG of a similar magnitude, direction and significance with recurrent and female MDD. In contrast to these results, bivariate genetic correlations between mMDD and health-related traits were all non-significant after adjustment for multiple testing (Supplementary Table 17). Summary statistics from univariate and bivariate LDSR (Supplementary Tables 14 and 17) indicate that the lack of association between mMDD and other health-related traits is due to reduced statistical power, rather than a genuine sex difference. Univariate LDSR of mMDD returned a mean χ2 = 1.018, indicating low power (as a minimum mean χ2 = 1.02 is deemed appropriate for LDSR72). In addition, the univariate LDSR h2SNP(SE) = 0.05(0.03) for mMDD. The LDSR rG is calculated as rG = ρg/\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sqrt {h_i^2h_j^2}$$\end{document} where ρg is the genetic covariance between traits, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$h_i^2$$\end{document} is the heritability of trait i and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$h_j^2$$\end{document} is
