Lag in a proportional feedback system results in oscillation. This is why the derivative term is added to get rid of it, to catch things before they overshoot.

Lag in a proportional feedback system results in oscillation. This is why the derivative term is added to get rid of it, to catch things before they overshoot. I don't think most of nature has a concept that maps to the derivative term, especially since "greedy" is usually the best option for short term survival.