Dynamics of Multiregional Population Systems: A Mathematical Analysis of the Growth Path
Abstract
The multiregional population projection models can be rewritten in terms of eigenvalues and eigenvectors and an analytical solution can be obtained using coefficients that are determined by two different methods. The growth path can then be decomposed showing that it may be divided into five stages. These procedures are discussed in this paper and are illustrated with data for three regions in Belgium: Brussels, Flanders, and Wallonia.