No, but maybe as a first approximation in very small slices of time. It is far more complex than that. Just look at the olive tree. Olive trees detect new olive trees and release poison to kill them off, at the same time they have multi thousand year lifespans. Individuals in that species have "decided" that the only way it can live a long ass time is to have no competition and is willing to kill their own to get it. You can't apply the carrying capacity model to olive trees.