Left axis: ratio of the FIR-to-FUV LDs (IRX). Right axis: FUV dust attenuation (A_FUV). The red dotted line with red diamonds is taken from Takeuchi et al. (2005). The green filled area and green dots are the associated uncertainties estimated through bootstrapping with 2000 drawings. Black dots denote the values directly computed from the LFs. At z = 3.6, A_FUV reaches about the same value as at z = 0. Takeuchi et al. (2005) (red diamonds) used an approach identical to ours while an SED analysis (no FIR data) is performed in Cucciati et al. (2012) (blue boxes). Bouwens et al. (2009) are estimates based on the UV slope β. The limiting FUV luminosity is 10⁷L_⊙ or . The best fit is given by with a = 1.20, b = 1.50, c = 1.77, and d = 2.19.