Maximum Sustainable Yield: Renewable Resource Harvesting

Every renewable resource — a fish stock, a managed forest, a grazed rangeland — regrows according to some form of logistic population dynamics, and every harvest policy removes part of that regrowth. This simulator renders a real 3D stand of resource units growing on a habitat plot and applies the classic Schaefer logistic-growth-with-harvest model, dN/dt = rN(1 − N/K) − hN, so you can watch the live population, the instantaneous growth rate and the harvest yield respond as you tune the intrinsic growth rate r, the carrying capacity K and the harvest effort h. A one-click button jumps the harvest rate to the textbook Maximum Sustainable Yield (h = r/2), and pushing the harvest effort past r shows exactly how overharvesting collapses a renewable resource to zero — the same mathematics that underlies real fishing quotas and forestry rotation limits.