There is a lot information missing for a meaningful analysis. It would be interesting to see the total mortality rate, as none of the partial mortalities attributed to any cause (often arbitrarily) mean anything without comparing to the total rate. (of course to see a better picture one needs to included migration and total population figures for the period too)
Since the probability of dying is 1 if any cause of death is really reduced, then other causes of death MUST eventually increase. I remember reading with amusement a newspaper article commenting on how little heart disease there is in Camaroon (or some west african country) compared to Europe. They were seriously intimating that their diet or lifestyle was somehow "healthier"? The falacy of their argument being that, of course, in africa they died of other causes long before heart disease, a disease mainly of the elderly, manifests itself.