The A.S.T. model, Analyse et Simulation Topologique, does for system analysis what multiple regression does for multivariate analysis. For an origin-destination table this model determines the gains effected by the dependent elements of the System for any change in the independent ; it calculates the transmission links and gains, and it also establishes the sensitivity of any element to fluctuations in any arc of the network. It is a model which should prove of considerable interest for studies of repercussion effects of flow fluctuations, or for the analysis of transmission flows in a diffusion process. It should also prove of value for the study of the evolution of a system to establish which elements are gaining in influence and which are being relegated to the outer fringes. As an illustration, the model was applied to the study of the flow patterns of French migrant populations for the period 1962-68, by planning region.