“…These calculations are essentially of three types: (1) analytical approximations including various assumptions about coupling between the subducted crust and the overlying mantle and about convection in the mantle wedge [e.g., Davies, 1999;Molnar and England, 1995;Molnar and England, 1990], (2) purely plate-driven models with uniform viscosity, in which the thermal regime is calculated numerically using analytical expressions for corner flow in the mantle wedge, with model results depending on various input parameters including the thickness of the arc "lithosphere" and the depth of coupling between subducting crust and overlying mantle [e.g., Peacock, 2002;Peacock and Hyndman, 1999;Peacock and Wang, 1999;Iwamori, 1997;Peacock, 1996;Ponko and Peacock, 1995;Peacock et al, 1994;Pearce et al, 1992;Peacock, 1991;Peacock, 1990a;Peacock, 1990b], and (3) dynamic models in which the mantle flow field as well as the thermal regime are calculated numerically, with model results depending on parameters such as thermal buoyancy, chemical buoyancy and mantle viscosity [van Keken et al, 2002;Furukawa and Tatsumi, 1999;Kincaid and Sacks, 1997;Furukawa, 1993a;Furukawa, 1993b;Davies and Stevenson, 1992]. These models differ in many respects, but most agree that subduction of oceanic crust that is more than 20 million years old at down-dip rates greater than 20 km/Myr will not produce temperatures at the top of the subducting plate that are high enough to allow fluid-saturated melting of sediment or basalt.…”