Same as Fig. 9 except the vertical axis is the initial metallicity Z_proto, which corresponds to the primordial metallicity of the protosolar molecular cloud core; and the horizontal axis of (d) is M_XY, lost, which was calculated using Eq. (9) and M_Z, planet = 150 M_⊕. We note that the unphysical M_XY, lost < 0 values are due to our assumption that M_Z, planet = 150 M_⊕. These solutions are equivalent to solutions with M_XY, lost = 0 and M_Z, planet > 150 M_⊕ (see Table 4).