Biological productivity and optimal harvesting of a biological resource — An uncomplicated exercise in comparative dynamics.
提出一个简单的数学命题，用于分析可再生生物资源存量极低时的比较动态，证明在典型学校渔业模型中，最优捕捞率随生物生产率递减，即使稳态最优捕捞率随生产率递增。
The paper presents a very simple mathematical proposition that enables easy examination of comparative dynamics when the stock of a renewable biological resource is very low. The proposition is used to prove that in the canonical schooling fisheries model the optimal harvest rate is a decreasing function of the biological productivity of the resource for low stock levels even if the optimal steady state harvest rate is an increasing function of biological productivity. The results presented here carries over to the effect of technological change in the Ramsey model as the fisheries model used here and the Ramsey model are formally equivalent.