law of averages says we achieve 10B worldwide population a ot sooner than 2100. We were 4B in 1975, and doubled in 50 years, and it will not occupy that much time to double again before 2075, and I maintain that with proper land management, which we do not practice very well today, we will still not exhaust resources. Not even food, because every single one oof us - all 8B of us - can survive on 0.45 acres, each and sustain life with more than enough food, and that leaves availability
ON the other hand, I don't think we reach 2100 before Earth as we know it is completely changed with Christ's return, so aiming at 2100 is a moot point.