In this paper I construct and analyze a simple mathematical model for the commercial exploitation of a natural animal population. The model takes into account the response of the population to harvesting pressure, the increasing harvesting costs associated with decreasing population levels, and the preference of the harvesters for present over future revenues. The principal conclusion of the analysis is that, depending on certain easily stated biological and economic conditions, extermination of the entire population may appear as the most attractive policy, even to an individual resource owner.

[This paper studies the effects of irreversibility of capital investment upon optimal exploitation policies for renewable resource stocks. It is demonstrated that although the long-term optimal sustained yield is not affected by the assumption of irreversibility (except in extreme cases), the short-term dynamic behavior of an optimal policy may depend significantly upon the assumption. It is suggested that the results may have profound implications for problems of rehabilitation of overexploited fisheries and other renewable resource stocks.]