Selenium intake in a dose-response manner is negatively correlated with osteoporosis. Compared with the lowest quartile tho odds ratios of osteoporosis were 0.72, 0.72 and 0.47 for the second, third and fourth quartiles of dietary Se intake, respectively. See also this paper.
In my paper on osteoporosis on the Osteoporsis page I argue that the transsulfuration pathway is dysregulated in osteoporosis. Dysregulation of the transsulfuration pathway would dysregulate selenium metabolsim as the food form of selenium, selenomethionine is metabolized via the transsulfuration pathway. Se-methylselenocysteine can be metabolized by kynurenine aminotransferase whereby Se-Methyl-L-selenocysteine + H2O <=> Pyruvate + Ammonia + Methaneselenol. Kynurenine aminotransferase is an enzyme that is not in the transsuluration pathway whereby Se-methylselenocysteine is the prefecred form of supplemental selenium as selenium from Se-methylselenocysteine is biovailable. Dosages of Se-methylselenocysteine should not exceed 200 micrograms a day. More is not better.