Well it'a vodka o'clock and for some reason several threads I have clicked onto have touched on the idea that our relentless and reckless desire to obey our evolutionary programming to reproduce, like every other organism on the planet, is the reason behind the demise of the environment and the stability of the planet in general. However, we have consciousness and have progressed technologically to the point where we in the Western world often voluntarily restrict our procreation, we have evolved (almost) to a point where we in principle accept that women need no longer to be brood mares and can control their own lives, yet still the guilt and agonising is piled on. Even though, as Pps have mentioned, birth rates are dropping in some of the western world.
The problems of the world have so little to do with the numbers inhabiting it, it is more about the unequal distribution of resources, the way capitalism and corporatism funnel profit towards a very few, power, greed, all dressed up in a superficial lip service to "the greater good".
Right now we are all apparently walking vectors of disease'; we are a virus on the planet, when it has never been proved, to my knowledge, that we are anything more than part of a symbiotic evolutionary process beginning on this planet. All day every day we are told over and over again that we are the problem. Yet because so many solutions to the big issues in the world will mean people with lots of money and influence might have to forgo their fifth home or latest super yacht, those of us running on the hamster wheel are targeted as the bad guys.
The world doesn't need to be fucked but it sure is fucked up right now.
And you wonder why some people believe there is a de-population agenda.......
To the OP - if it is decided that a certain amount of reproduction will grease the wheels of capitalism, then yes, control / coercion / incetivism will be employed, probably with a side dish of genetic screening / manipulation will be centred on women. No force will be required, it will be done via brainwashing and manipulation. And we're halfway there already.