The theory of stable population dynamics is relatively well developed in the demographic literature, but virtually all of it is founded on the assumption of unchanging rates of fertility, mortality, and migration. The case of changing rates is relatively underdeveloped and little is known about the influence of changing rates on age composition and regional distribution. This paper considers how multiregional zero growth populations evolve over time when exposed to changing birth, death, and migration rates. It illuminates the ways in which an age-by-region composition is influenced by the pattern of recent rates and how the influence of an initial composition is lost over time
