Evolution of the reference models. Shown are a) the bound mass fraction, b) the slope of the mass function α (for 0.3  M_⊙ < m < 0.8  M_⊙), c) the Lagrangian radii r_10% and d) r_50%, e) the remnant mass fraction, and f) the number of stellar-mass black holes as a function of time. We stress that the absolute time on the x-axis is arbitrary because it depends on the total mass and the galactocentric distance and is therefore only shown for relative comparison. Dashed lines in panel f) mark the logarithmic fits to the evolution of the black hole numbers.