Uh, assuming you have 200 years to make the correction,
Why would you assume we don't?
and assuming you can reach that average birthrate across the globe.
Why would you assume we can't?
First, I need to make a small correction to my figures. My population figures started at 7 billion instead of 8 billion. If I correct that, it takes 10 generations, about 250 years, to reach 2 billion at the rates you suggest.
That means we might need to react 250 years in advance. If (hypothetically) the planet is in overshoot, with 8 billion people on a planet that can sustainably hold 2 billion, and if we find this will catch up to us 250 years from now, then, if we decided to do something about it, we would need to react now. It takes 250 years. Hence, the need to at least talk about it now.
Personally, I think we have far less than 250 years to react. I think I have explained the reasons here several times. Once again: We are
Eating Fossil Fuels, that is, we are burning 10 calories of fossil fuel for every calorie of food we put on the table. The cheapest sources of fossil fuels are rapidly depleting. When shortages get serious, the Green Revolution that sustained our population far above the normal carrying capacity of the Earth will be in jeopardy. I see this getting serious some time in the next 30 years. See
The Crash Course,
Do the Math, and
Our Finite World. Alternates like nuclear energy will help, but they need to deal with problems like
The Energy Trap. In addition, resource depletion of many renewable resources, global warming, and pollution are serious concerns.
Regarding the target birthrate, it depends how long we have to react. As we discussed, 1.7 may be adequate if we have 250 years to react. If we have 80 years, we must aim much lower. Hence, the opening post.
Why would I assume we can't reach the desired birthrate? I don't assume that. It depends on a lot of things, including the desired average birthrate, religion, human psychology and the courts. Will the recent Supreme Court decision, for instance, make it harder for even America to maintain the 1.7 births per woman figure you mention?
But anyway, considering all the factors involved, if--hypothetically--we needed to maintain an average birthrate of 1.7 births per woman worldwide for the next 250 years, yes, I do think that would be very hard. Do you think it would be easy?
By the way, you share the solutions suggest by Saier (see the opening post). His solutions are, "Anyone considering parenthood should have all the alternative options at their disposal, including (a) abstaining from sex—in marriage and outside of it, an option few couples choose, (b) using truly reliable forms of contraception, or (c) abortion." And that seems to be very close to your solutions. So in spite of all the smoke I am seeing from your end, when it comes to the solution, you are both saying the same thing. You just seem to have a dispute on what population range would be optimal for planet Earth.