Markov chains are a powerful statistical tool to study temporal and spatial dynamic of mobility. However, its original formulation is far from reality due to its fundamental hypothesis. This paper is aimed to present some methods that relax one of these hypotheses: temporal homogeneity. We will pay special attention to one useful technique in dynamic-spatial analysis that hardly attention has received by stochastic literature, called constant matrix method. This method will be developed in this paper in order to capture the differential effect of intra-regional migrations in Spain in the interpretation of model’s results.