Analytical model for embryo formation and embryo formation in LIPAD. The black dots indicate the time and location at which an object reached planetary embryo mass in the LIPAD simulations. The red dots indicate the time for each distance from the star at which a planetary embryo is placed using ouranalytical model. The orbital separation as input to the analytical model is given as 17 R_Hill, with a randomization of 2.5 R_Hill The inner edge of planetesimal formation in the LIPAD runs was chosen to be at 0.5 au for numerical performance. We vary the total mass in planetesimals after 10⁶ yr from 0.5 to 5 au (6 M_⊕,13 M_⊕, and 27 M_⊕) and the planetesimal surface density slope (Σ_P ∝ r^−1.0, Σ_P ∝ r^−1.5, and Σ_P∝ r^−2.0).