The volume of the grain boundaries is a small percentage of the total volume of a polycrystalline superconducting material, but their contribution to the superconductor's properties is paramount. The present work analyses the influence of the variation of the relative fraction of the grain boundary volume, as well as the presence of alkaline additives (K and Rb) and CuO, on the hysteretic losses, the ability to screen low-frequency a.c. fields, the critical current density and the superconducting transition temperature. The data obtained are indicative of a strong dependence on the type of dopant accumulated on the grain boundaries and on the degree of recrystallization of the HTS. The influence of the internal grain pore boundaries caused by the intensification of the recrystallization process is discussed.