There are more ways to overshoot or undershoot than there are to be critically damped. Population level tends to be an overshooting system which then collapses

There are more ways to overshoot or undershoot than there are to be critically damped. Population level tends to be an overshooting system which then collapses back to equilibrium. Doesn't bode too well for us when you look at human population growth over the last century. The troubling part is the scale; even a loss of 10% of the population would be the largest wholesale loss of life in human history. Over a century, that's not a huge deal, but over a decade, it would be a disaster the likes of which we've never experienced.