Rest-frame NUV-band LFs from z = 0.05 to z = 4.5 of the VVDS Deep+Ultra-Deep sample, in 10 redshift bins as indicated in each panel. Red circles represent the 1 / V_max data points up to the LF bias limit and the corresponding number of galaxies are given in parenthesis. The vertical cyan long-dashed and blue short-dashed lines correspond to the LF bias limits for the Deep and Ultra-Deep surveys, respectively. The black solid curve and the associated shaded area is the STY LF estimate assuming free Schechter parameters and its associated error. The dot-dashed curve is the same in each panel, and it corresponds to the solid curve in the 0.2 < z < 0.4 redshift bin, as reference. All Schechter parameters are given in Table B.1. For the NUV-band, we were not interested in fixing either M^∗ nor α. We note that in the last redshift bin the STY fit is unconstrained, so there is no solid curve overplotted.