Blanchet Didier. - Regulating the age structure of a population through migration. This paper examines the consequences of a demographic policy which would use migration as a mean to control the ratio of the working age population to the population of retirees. It is shown that, if such a policy aims at a short term stabilization of this ratio (by allowing each year the number of immigrants which exactly compensates for retirements) it generates waves of immigration of an increasing amplitude, both in terms of crude numbers of immigrants and in terms of immigration rates. This result is demonstrated analytically with two models, one in discrete time, with four generations, and one in continuous time. It is then illustrated by some projectio...