<Snipped quote by Didgeridont>Like China limit births. Like one kid per woman and any woman who violates it has to give the second kid up for adoption and then have her ovaries removed.
As for reversing population growth there are a few ways I favor:
1. Random lottery if you win your family gets money while you die.
2. Those who refuse to be productive members of society are given one month to stop being leeches, failure means death.
3. Constant war.
Each of the ideas you mentioned are unsatisfactory.
China's one child policy worked somewhat, however with the scale of the world we inhabit we would still end up with many country bumpkins continuing to produce more than one child.
A lottery of that nature would cause too much societal strife, and might lead to unrest among the population to such an extent that they rebel against the processes which enforce the lottery.
Simply euthanizing "leeches" would do little to quell the constant threat of population growth. It would disincentive people from lethargy to such an extent that they might even cause further strain on the world. And, of course, there is always the question of the global scale; it won't slow the birth rates of developing countries and is hard to enforce without incident.
Constant war does too much damage to infrastructure and the environment, and can even lead to the destruction of humanity as a whole: something which is rather unwanted. Besides, war opens up too many other avenues of societal degradation (see 1984).
I should have stated that by reversing population growth, I meant stopping birth rates from occurring at a replacement level, so that the next generation of humanity is much smaller than the last.