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.

Yeah fair so what.

The argument is - our current economic system can’t handle it.

Well then that’s an argument for changing it.