This disclosure relates to pavement systems and methods for paving that are suitable for locations containing a generally weak subgrade with a California Bearing Ratio of four (4) or lower. The pavement system includes a first geogrid layer placed directly on the subgrade; a first granular layer upon the first geogrid layer, the first granular layer having a thickness of from 0.5 times to 20 times the aperture distance of the geogrid layer; a first geocell layer upon the first granular layer comprising a geocell and an infill material; and a capping layer over the geocell layer. A second geocell/geogrid layer can be placed beneath the capping layer, if desired. An optional surface layer may be applied upon the capping layer if desired. The resulting pavement system provides long-term support for pavements applied over the pavement system.