It would make more sense to put such a restriction on females then wouldn't it?
Besides, there is overpopulation control in nature. 1) natural predators 2) if 1 is absent, epidemics

Scarcity means that there will inevitably only be enough to sustain X number of specimens, individually it would make more sense for you to breed harder to take up as many places as you can (and thus ensure your genetic survival)