Interrelationships between continental freeboard, tectonics and mantle temperature

Abstract

Oceanic hypsometry and isentropic melting models are combined to address the question of freeboard from the middle Archean to the present. In addition to the fraction of continental crust, the factors governing the long-term balance of the continental freeboard include the mantle potential temperature (TP), the oceanic lithosphere thickness, and the plate creation rate (C0). It is shown that variation in TP far outweighs the other factors in importance, with freeboard decreasing by 1 km for every TP increase of about 80 C. The huge ten- to thirtyfold increases in C0 backward in geological time that have been invoked to explain near-constant freeboard are shown to be unnecessary. The low value found for TP is consistent with the preservation of ancient diamonds in the deep South African lithosphere. It is concluded from this that the present cooling rate of the earth of about 46 C/Ga has general applicability over much of geological time.