“…This derivation would, however, require that the amplitudes of seismic velocity anomalies are well constrained and that all relevant mineralogical variables in the mantle (e.g., reference composition, temperature, and equation of state parameters) are sufficiently well known. An alternative method for inferring mantle density anomalies is based on the direct inversion of the convection-related geophysical observables (e.g., Corrieu et al, 1994;Deschamps et al, 2001;Forte and Mitrovica, 2001;Forte and Perry, 2000;Forte et al, 1993a,b;Karpychev and Fleitout, 2000;Panasyuk and Hager, 2000;Pari, 2001). An alternative method for inferring mantle density anomalies is based on the direct inversion of the convection-related geophysical observables (e.g., Corrieu et al, 1994;Deschamps et al, 2001;Forte and Mitrovica, 2001;Forte and Perry, 2000;Forte et al, 1993a,b;Karpychev and Fleitout, 2000;Panasyuk and Hager, 2000;Pari, 2001).…”