The dust-corrected SFRD from galaxies with different luminosity limits, as described in the labels. The background gray shaded area is the total SFRD, while the SFRD for different luminosity cuts decreases for brighter galaxies. The luminosity limits are kept fixed at all redshifts. The shaded area for each SFRD accounts for the same kind of errors as for the total SFRD (STY ellipses, cosmic variance, Poisson noise, weighting scheme, and at z > 1.7 also the span of α between α = −1.1 and α = −1.73). When the luminosity limit is fainter than the LF magnitude bias (see Sect. 3.1) at a given redshift, the area between the lower and upper 1-σ error is not filled but left empty. The dashed black line is the SFRD from galaxies brighter than M^∗ at each redshift (i.e., the luminosity cut varies with redshift following M^∗). At each redshift, error bars on this SFRD are similar to those for the cut in luminosity closest to M^∗, and we do not overplot them for clarity. We apply to all the points the same dust correction as for the total SFRD, as we do not detect a clear dependence of E(B − V) on FUV luminosity (see discussion in Sect. 5.1).