Ultraviolet and LAE LFs included in our analysis on a common x-axis of SFR. The LFs of Bouwens et al. (2022) and Thai et al. (2023) are shown in bold and the literature LFs are shown in coloured dash-dotted lines. The LF integration limits in terms of L* that we use throughout this work are denoted by the pink shaded regions. Left: Results from the redshift range 3 to 4. Right: Results from the redshift range 5 to 6. The literature LFs in the graph are shown in shorthand in the caption and here in full, in order: Ouchi et al. (2008), Cassata et al. (2011), Sobral et al. (2018), Thai et al. (2023), Drake et al. (2017), Bouwens et al. (2022, 2009).