Stacking results, upper limit L_[CII] vs. SFR compared to several models in the literature. The error bars are the standard deviation in the case of the mean stacking analyses, and the median absolute deviation for the median stacking analyses (for the SFR obtained from mean and median SED the errors are the errors extracted from the SED fitting). Models are extracted from the following studies: Vallini et al. (2015), Olsen et al. (2017), Lagache et al. (2018). Relations derived from low-z data come from De Looze et al. (2014), shown in cyan and orange, including their 1σ dispersion.