Comparison of the water fraction obtained by the numerical simulations (f_water,sim) with the analytical estimate (f_water,anly). The blue squares, red circles, and green cross represent the results for the Earth, Mars, and Venus analogs, respectively. If f_water,sim obtained by the numerical simulation is smaller than 10⁻⁵, we put f_water,sim = 10⁻⁵ because the numerical results would include a numerical uncertainty for such small values of f_water,sim.