> Which does nothing to explain the similar ratio in say England where access to guns is very restricted.
Drive a car fast. Just a lethal. Sometimes you hear about car accidents with only one car involved and the young male driver was the only fatality. Sometimes it's an accident. Sometimes it's someone ending it all.
"Jumping off things" would be "falls and fracture", and it's not a common method for completed suicide. About 4% of registered deaths are "jumping off things". Drowning is a bit more, about 4%. Poisoning is about 20% and hanging, strangulation and suffocation is about 56%. (The rest has the unhelpful title of "other". I'm not sure what that means.)