Path-based methods for the determination of nondispersive drainage directions ingrid-based digital elevation models are presented. These methods extend the descriptivecapabilities of the classical D8 method by cumulating the deviations between selected andtheoretical drainage directions along the drainage paths. It is shown that either angular ortransversal deviations can be employed. Accordingly, two classes of methods designatedD8-LAD (eight drainage directions, least angular deviation) and D8-LTD (eight drainagedirections, least transversal deviation) are developed. Detailed tests on four syntheticdrainage systems of known geometry and on the Liro catchment (central Italian Alps)indicate that the proposed methods provide significant improvement over the D8 methodfor the determination of drainage directions and drainage areas.