Anecdotally, we say there's a link between mental health and injuries, but I don't think there's actually research proving it. It would be nice to have some research to actually see how close the link is and what the causal factors are, so if you were to do some interventions you would know when to do them. When you're tired, you're more likely to make a mistake, and I know they've shown that if you work long hours, it's equivalent to your being impaired. We know there are some impairment issues with lack of sleep, and if you're impaired you're more likely to get hurt.
To have some actual research that might demonstrate some of the links, and even to capture the data related to fatalities by suicide, would be interesting so we could develop proactive mechanisms to prevent that.