Whereas several models of indoor concentrations of radon and its decay products exist, models for the occurrence and spatial distribution of thoron (Rn-220) and its decay products are lacking. This study highlights the specific properties of the thoron decay chain and presents their consequences for a thoron model. The short half-life of thoron results in an inhomogeneous spatial distribution, which is determined by diffusive and advective transport. The long half-life of the decay product Pb-212 accounts for a strong influence of air exchange on its overall concentration as well as on its unattached fraction. It could further be predicted that also the unattached part of Pb-212 is distributed inhomogeneously. The theoretical structure of a thoron model, which can neglect the most short-lived decay products but must account for the influence of air exchange in a stronger way than it is the case for radon, results from these considerations.