Plio-Pleistocene marine marls and clays from southern Italy often have weak natural remanent magnetizations (NRM) and show poor thermal demagnetization results. Some random scatter appears after treatment at higher temperatures, due to the low remaining intensities and promoted by the acquisition of viscous magnetizations. Since these problems hamper a uniform analysis of the demagnetization results, a method is proposed to improve their representation and interpretation. A (simple) stacking routine reduces the amount of scatter considerably and makes it possible to separate different NRM components in a more consistent and reliable manner. In addition, the construction of NRM-decay curves is more straightforward from stacked diagrams and thus a more accurate information is obtained about the remanence carrying minerals. The application to two sites from southern Italy serves as an illustration for the method. ¿ American Geophysical Union 1992