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Connecting the observed rest-ultraviolet (UV) luminosities of high-$z$galaxies to their intrinsic luminosities (and thus star formation rates)requires correcting for the presence of dust. We bypass a commondust-correction approach that uses empirical relationships between infrared(IR) emission and UV colours, and instead augment a semi-empirical model forgalaxy formation with a simple -- but self-consistent -- dust model and use itto jointly fit high-$z$ rest-UV luminosity functions (LFs) and colour-magnituderelations ($M_{\mathrm{UV}}$-$\beta$). In doing so, we find that UV coloursevolve with redshift (at fixed UV magnitude), as suggested by observations,even in cases without underlying evolution in dust production, destruction,absorption, or geometry. The observed evolution in our model arises due to thereduction in the mean stellar age and rise in specific star formation rateswith increasing $z$. The UV extinction, $A_{\mathrm{UV}}$, evolves similarlywith redshift, though we find a systematically shallower relation between$A_{\mathrm{UV}}$ and $M_{\mathrm{UV}}$ than that predicted by IRX-$\beta$relationships derived from $z \sim 3$ galaxy samples. Finally, assuming thathigh $1600 \r{A}$ transmission ($\gtrsim 0.6$) is a reliable LAE indicator,modest scatter in the effective dust surface density of galaxies can explainthe evolution both in $M_{\mathrm{UV}}$-$\beta$ and LAE fractions. Thesepredictions are readily testable by deep surveys with the James Webb SpaceTelescope.

Effects of self-consistent rest-ultraviolet colours in semi-empirical galaxy formation models