The Rhône river basin is a highly populated area in southeastern France, with a high concentration of alpine glaciers which have been rapidly retreating in the last decades as the climate warms. In order to anticipate potential issues and conflicts concerning water resources in the high alpine valleys, there is a strong need for local-to-regional projections of glacier and snow hydrological contributions. In this study, we present ALPGM (ALpine Parameterized Glacier Model), a fully parameterized glacier model, which makes use of the most recent available data and reanalysis to simulate the evolution of all the ~660 glaciers in the French Alps for the 1984-2100 period. It computes glacier-wide yearly surface mass balances (SMB) using machine learning, and it updates the glacier geometry by redistributing the glacier-wide SMB values along the glacier elevations according to a glacier-specific parameterized function.