A BRIEF REVIEW OF SEVERAL MODELS OF TOPOGRAPHIC EVOLUTION

With steady development of mathematical-physical models and computer technology, numerous methods of topographic simulation have emerged during the past decades. A major challenge in the modeling is how to accurately and efficiently describe processes of surface erosion at different spatial scales. This review focuses on the physical processes controlling surface erosion, including river erosion and hillslope erosion. Four popular models of topographic simulation (CASCADE, CHILD, FastScape and DAC models)and their applications are presented. Although these models have become more sophisticated in recent years, there are still some issues unsolved regarding the basics of the physical erosion processes. For example, some factors have not been taken into account, such as the impacts of changes in grain size and sediment budget during transportation on river erosion and the measurements of the rock erodibilities for various lithologies. Moreover, there is no topographic index that can be used to evaluate the modeling results. Therefore, it would be helpful to combine the models of topographic simulation with other numerical models, e.g. the low-temperature thermochronometric data modeling, to provide better constraints on the terrain modeling.