Mass of protoplanet M₀ (Eq. (14)) formed by streaming instability as a function of radial distance (left) and host mass (right). The cyan and red lines represent the protoplanets in self-gravitating disks (γ = 1) and non-self-gravitating disks (γ ≠ 1), respectively, whereas the black line corresponds to the pebble isolation mass. The birth time of the protoplanet is assumed to be at t = 0 Myr (solid) yr or 3 Myr (dashed). The mass of the central host is 0.1 M_⊙ in panel a and the birth location of the protoplanet is at r_ice in panel b. When protoplanets form by streaming instability, their birth masses increase with both the mass of the central host and radial distance.