Some Programming Problems in Population Projection

Abstract

This paper, which concerns a population model relating the birth rate to a stable age distribution and a stable rate of population growth, gives a nonlinear programming formulation based on this model that allows us to determine (1) the birth rate minimizing the sum of the costs due to changing the current birth rates and the costs of social goods and services associated with the resulting age distribution, and (2) the birth rate achieving a desired age distribution and population growth rate while minimizing the cost due to birth control.