Scheme of the total dust-corrected SFRD as a function of redshift, as found in this work (solid broken line, see Sect. 5.2). We distinguish four epochs, separated with vertical dotted lines. At each epoch, arrows indicate the behaviour of the three Schechter parameters and A_FUV: arrows pointing up mean that the parameter is increasing with increasing redshift, arrows pointing down mean that the parameter is decreasing. Red arrows indicate trends that in principle should decrease the total SFRD, the opposite is for blue arrows. Thick arrows indicate which parameter is driving the SFRD evolution at that given epoch. In this raw scheme, we neither consider A_FUV dominating, nor making increase or decrease the SFRD: clearly, its trend enhances or weakens the behaviour of the LD when it is transformed to dust-corrected SFRD, but the peak at z ~ 2 is already found in the LD.