How long will it take until the next planet is overpopulated and resources are consumed? I mean: birth control? Socialism? Rules to obey? If it is a competiti

How long will it take until the next planet is overpopulated and resources are consumed? I mean: birth control? Socialism? Rules to obey? If it is a competitive race it will end up pretty much the same. The question is then only: how long will it take? Over to the next one ...