ABSTRACT
In this chapter we address the well-known problem of modelling erosion in three dimensions at the hillslope scale and the appropriate hydrological routing method for this purpose. We also look at an alternative approach to conventional kinematic wave overland-flow models that accounts for rilled or gullied topography, and that avoids the usual preordained division into rills and interrills and the need for an arbitrary threshold
of rill initiation. We start by considering the kinematic wave approach to overland flow routing on hillslopes and its limitations when used for topographically complex slopes.
