Ha, good idea. But now I feel that should be the default setting, because the breeding rate as of now is completely ridiculous and doesn't have a parallel in either the developed world on Earth right now, as
@draqsko points out, or in any plausible starting colony scenario in the future.
Honestly if it was me, I'd have Birth permits on the slightly unpopular end, but allow you to be more selectave about who breeds and so what traits are passed on, which in turn would have impacts (for example allowing the Sexy Perk to be favored might make the edict more popular as they seek mates and to give it something to do now we've accepted more isnt always better) at the same rate of growth but less morale damaging would be a lottery, or trade the controll of traits for a productivity boost by giving permits to the hardest workers. Then you'd have increasingly draconian levels of eugenic meddling, potentially taking your colony to full handmaids tale type stuff if you have the stomach for that. Very tight controlls to such purposes would undoubably reduce birth rates in turn, making things that boost it usefull again.
And thats just one aspect we should have been able to play with, this is 5 mins of thought at 3am. Then theres rations (Variety, degree of preperation, quantity) living standards, amenity access... theres so much that they could and really
should be doing with the human side of the equation because right now your colonists feel like the worst and least intresting part of the game. A badly implamented nesesty. We have humans druging in mines and in factories, while robots get to explore, discover anomolies, and be the ones to break new ground on mars. It seems totally backwards to me.