Speed limit for population dynamics

In statistical and quantum physics, the speed limit, i.e., upper bound for change rate, of time-dependent quantities has been discussed. In this talk, I will extend the concept of speed limit to ecological and evolutionary processes by considering the competitive Lotka-Volterra model and the quasi-species model. As an application of the speed limit, I will also discuss the universal constraint for the relaxation at the bifurcation point of such models.