The economic welfare of a community is affected by policies that determine both the rate of capital accumulation and the rate of growth of population. The optimum size of population at any point is time will depend on the size of the existing capital stock and the optimum rate of savings will depend on the existing number of people. Consequently in this sense a population policy cannot be developed without a concurrent savings policy. The criterion of optimality that will be used is the ma ximization of the total discounted welfare of all generations from now to infinity. The problem will be to select that rate of savings and that size of population at every moment which will achieve this maximum welfare if in fact a maximum exists. An inquiry is made into the existence of an optimum policy under various circumstances. An attempt is made to evaluate the consequences of various ethical beliefs.