Léon, Pierre-FrançoisSkapin, XavierMeseure, PhilippeFrancois Faure and Matthias Teschner2014-02-012014-02-012008978-3-905673-70-8https://doi.org/10.2312/PE/vriphys/vriphys08/067-076This paper presents a model that describes the temporal evolution of 2D-topological structures to represent and control dynamic natural phenomena. As input, the user provides the system with a list of actions that gives a highlevel description of the evolution in terms of application-specific operations. As output, a complete representation of the evolution is computed. Our model is composed of three parts: A structural model allowing the temporal representation of both topology and geometry; an event model that aims at detecting topological modifications and ensures consistency between topology and geometry; and a semantic model that simultaneously describes the evolution as a sequence of elementary modifications and manages the history of the various entities of the model. We show the efficiency of the model in the geology field, by studying two well-known phenomena, namely sedimentation and erosion.