Since the significant genes for all traits are clearly clustered into genomic loci (see e.g. the loci in chromosomes 8 and 16 in Fig 2A, the latter including the well-known obesity associated FTO gene [28]), we devised a circular permutation procedure preserving the gene order (see Methods) which revealed that the overlap between BMI- and sMRI-associated genes is indeed greater than expected by chance (empirical P<10−4). Here, FTO is linked to obesity due to melanocortin 4 receptor deficiency.