Comparison of the evolution of 𝒮 × Ƥ_frac as a function of normalized column density, , between ALMA observations and our models, before and after spatial filtering. The left (right) panel corresponds to the results of the radiative transfer performed at 0.87 mm (1.3 mm). The distributions of 𝒮 × Ƥ_frac values from our models are in different tints of blue, while the distributions of 𝒮 × Ƥ_frac values from the ALMA observations presented in Le Gouellec et al. (2020) are in gray (where we split the 0.87 and 1.3 mm observations). The solid lines are the mean of the 𝒮 × Ƥ_frac values in a given bin of normalized column density, and the corresponding shaded area represents the standard deviation. These two plots correspond to set III of the models (see Table 1), i.e., we fix f_high−J = 1 and a_max = 10 µm, and we vary L_★ in the range 1.0, 5.0, 20, 50, 100 L_⊙. The dashed colored lines correspond to the filtered models, and the solid lines are from the non-filtered models.