Azimuthal averages of the vertical magnetic field component, B_z (top left), the radial magnetic field component, B_r (top right), the inclination (bottom left), and the intensity, I_out (bottom right), of our more realistic simulations (blue, red, black and grey), and of an observation (green), and an old reference simulation (gold). Horizontal dashed lines refer to B_z = 1867 G, the observed critical value for penumbral-type convection to operate (top left), and to an inclination of 90°, meaning a horizontal field (bottom-left).