Patterns of genetic diversity can be used to reconstruct populations demographic history. Thus, it is crucial to understand the statistical properties of data sets generated under different scenarios. SPAms is a graphical application that allows the simulation of data under a set of demographic models of increasing complexity: (i) population size change (ii) admixture and (iii) population structure (n-island or stepping stone model). SPAms generates data under the infinite site and the stepwise mutation models and computes a set of commonly used statistics. It should thus be a useful tool for both research and teaching purposes.