In this report, we consider the amplification of electromagnetic ion cyclotron waves along a geomagnetic field line in the multicomponent magnetosphere, asssuming that the waves propagate parallel to the background magnetic field. We find it is possible for the ring-current protons (energy ~10--100 keV), which supply the free energy to stimulate the waves, to resonate with the waves not only in the equatorial region but also off the equator. An instability, caused by a thermal anisotropy, may occur in separated regions on and/or off the equator. The positions of the source regions along the wave path depend on the concentration of cold heavy ion species. The significant off-equator source regions may be located at geomagnetic latitudes where the waves, with frequencies greater than the He+ gyrofrequency on the equator, are in a local He+ pass band. ¿ American Geophysical Union 1990