Uncertainty and markets for renewable resources

The market allocation of renewable resources is examined when growth rates are affected by random disturbances. Given free access to a renewable resource, environmental disturbances are shown to affect the biological survival of the resource. The optimal solution is then examined and it is shown to be achieved by a competitive allocation when property rights are clearly defined given rational expectations or a complete set of contingent futures markets. The stochastic dynamics are shown in each case to differ considerably from the deterministic model.