Evolution of the SFRD with redshift with different lower limits of integration. The limit log L = 38.5 corresponds to a 2 dex extrapolation with respect to the completeness limit in this work. Our results (in red/brown) are compared to SFRD in the literature computed for LBGs (in light grey) and from previous studies of the LAE LF (in green/blue). For the clarity of the plot, a small redshift offset was added to the points with L_inf = 38.5. The darker grey points correspond to the SFRD derived from the LFs in Bouwens et al. (2015b) for a magnitude limit of integration of M_UV = −17 corresponding to the observation limit, and M_UV = −13. The points reported by Cassata et al. (2011) are corrected for IGM absorption. The yellow area corresponds to the 1σ and 2σ estimations of the total SFRD corresponding to the cosmic emissivity derived in Bouwens et al. (2015a).