Evolution of the star formation rate density with redshift using different integration limits for the LF. Brown (red) crosses show results of integrating the best-fit Schechter (modified Schechter) functions log(L) from 41 (39.5) to 44 erg s⁻¹. Solid blue, orange, and green curves indicate the critical SFRDs obtained by assuming a clumping factor of 3 and f_escp = 3%, 8%,  and 25%, respectively. The solid green curve, having f_escp = 8%, indicates the best likely match with our SFRD points in the luminosity range of 41 < log(L) < 44 (see details in the text).