Collapse simulations with 1 mm grains and three initial levels of turbulence. They are presented in columns, indicated by the initial turbulent Mach number ℳ_i and the snapshot time, corresponding to the formation of the first hydrostatic core (ρ_g,max = 10^–11 g cm^–3). In lines, the gas density map (slice), the dust-to-gas ratio map (slice), and the dust-to-gas ratio probability density function (PDF) in different regions of the collapse (FHSC, disk, outflow, pseudo-disk, envelope, if detected). The histogram is weighted by the gas mass within the cell and we use 100 log-spaced bins. This means, for example for ℳ_i = 1, that 70% of the gas mass contains a dust enrichment lower than the initial one (θ_d < 10^–2), and about 7% of the gas mass is very dust-enriched with θ_d > 10^–1.