Upper panels: sample of 3184 SFGs in the SFR−M_⋆−z plane color-coded for the number of sources per bin. Solid and dashed black lines show the position of the MS of SFGs and the associated dispersion given by Schreiber et al. (2015). Vertical red solid lines show the mass-limit above which we consistently probe SFGs on and above the MS. Middle and lower panels: median size and star formation surface density, respectively, of the 3184 SFGs in the sample. We use 1000 MC realizations to include the values for unresolved sources, which are drawn from the distributions described in Sects. 4.2 and 4.4.