Mass of water in the core, mantle and atmosphere reservoirs for three different choices of the threshold melt fraction Φ_melt above which the magma ocean is considered liquid and can hence exchange volatiles with the core and the atmosphere. The core reservoir is relatively unaffected by this choice and holds in all cases the dominant water mass. Lowering the threshold fraction to 0.3 means that the magma ocean does not formally crystallize and hence the mantle reservoir cannot outgas efficiently to the atmosphere. Increasing instead to Φ_melt = 0.7 causes less outgassing than the nominal choice of Φ_melt = 0.5, since the volatile exchange with the atmosphere ceases at a higher magma mass that can thus store more volatiles. This reduces the atmospheric reservoir of water by a factor of approximately two.