A model to account for isostasy which in the lithosphere assumes a constant density (ρc = 2 670 kg/m3), but in which topographic elevations (h) are compensated by the presence of ‘roots’ replacing high-density mantle rocks (ρm = 3 300 kg/m3) by lower-density lithospheric rocks. The depth of the root (d) is equal to hρc/(ρ − ρc). See also pratt model.