Planetary and core-mass occurrences of the four different populations. Every planet in each systems starts with a core mass of 0.0123 M_⊕ and no envelope. The quantities that arise from the three analytical planetesimal surface density profiles are shown in blue (Σ_P ∝ r^−2.1), orange (Σ_P ∝ r^−1.5), and green (Σ_P ∝ r^−0.9), whereas the properties of the planetesimal formation population are shown in black. The dashed lines in the plots showthe median planet and median core masses. The histograms show clear shifts toward the higher mass ranges for steeper planetesimal surface densities and for the dynamically formed planetesimals than the Σ_P ∝ r^−0.9 or even the Σ_P ∝ r^−1.5 distribution.