Rotation period P_rot and activity index S_ph distribution of the simulated sample (blue) compared with the sample from Santos et al. (2021a, grey). The right panel shows the projected S_ph density distribution for the two populations. The projected density distribution for the Santos et al. (2021a) targets is computed considering only stars with S_ph < 400 ppm. The dashed horizontal orange lines correspond to the solar minimal and maximal values measured by Salabert et al. (2016).