Don't forget educating women, which tends to result in fewer children per household.
I am concerned, though, that the temporary lull in overpopulation will be broken by belief systems that encourage large families; by definition, those with a genetic or memetic instinct to have many children will out-populate those without that instinct. (I have a soft spot for the Mormons, but they come to mind here.)
Memes aren't strictly inheritable in the same way that genes are.
For example, it is completely plausible to advance the argument that children in large families decide to have fewer offspring due to their own childhood experiences. I'm not saying that this is definitively the case or that I have any evidence for it, but it is just as plausible as the conjecture that a propensity for a large number of offspring is perfectly inheritable.
Even if memes are not genetically heritable, they are still transmissible, and therefore still subject to selection pressures. And the more children these families have, the broader the attack surface for large-family beliefs to infect the next generation.
Moreover, I would suggest that genetics do influence tendencies for adopting some memes over others, especially as regarding the instinct to spread genetic material, which is very ancient. I can't cite any scientific support for this idea, but the likelihood seems very strong.
I am concerned, though, that the temporary lull in overpopulation will be broken by belief systems that encourage large families; by definition, those with a genetic or memetic instinct to have many children will out-populate those without that instinct. (I have a soft spot for the Mormons, but they come to mind here.)