That's... not how equilibrium works. A self-balancing segway or robot doesn't reach the balance point and then freeze in place. There are oscillations. And it isn't a pretty sine wave either. Considering the massive number of factors that go into something like "global population growth", expect a VERY chaotic graph indeed, like the stock market, but worse.
Actually I was replying to someone who said that we weren't reaching equilibrium, and I contended that we are. I said nothing about "our current economic system can’t handle it".