Analytical estimate of f_water at 1 au as a function of the initial disk radius (r_d,0) and the initial disk accretion rate (Ṁ_g,0), including the effect of the pebble isolation mass. The other parameters are Ṁ_pe =10⁻⁹M_⊙ yr⁻¹, t_diff = 3 × 10⁶ yr, and St = 0.1. Pebble accretion is halted when M_pl reaches M_peb,iso. The dry regime (red) in the left bottom part of the plots represents the cases of M_pl,0 > M_peb,iso.