Abstract

This study proposes an endogenous population economic growth model with gender time distribution between work, children fostering and leisure. It deals with nonlinear dynamic interdependence between the birth rate, the mortality rate, the population, wealth accumulation, and time distribution. We model the production side and wealth accumulation on the basis of the Solow model. The population dynamics is influenced by the Haavelmo population model and the Barro-Becker fertility choice model. The different growth mechanisms are integrated in a compact framework by applying the utility function proposed by Zhang. We simulate the model to demonstrate existence of equilibrium points and motion of the dynamic system and examine the effects of changes in the effects of changes in the propensity to have children, woman’s propensity to pursue leisure activities, and woman’s human capital.

Key words: Endogenous population, small-open economy, propensity to have children; birth and mortality rate, gender time distribution.