Quenching of the filament populations over time compared to the field population. Quenched fraction of filament population as a function of cosmic time, separated by the environmental history and infall times into filaments (stellar mass is controlled). The galaxy is considered quenched if the sSFR is below 10⁻¹¹, yr⁻¹. Results are shown for two models, with solid lines representing the median and shaded regions indicating uncertainty limits (16th–84th percentiles) across 100 stellar mass-matched realisations. We note that for the GAEA2024 model, the star formation rate was time averaged, and for TNG100, it was instantaneous. Therefore, comparisons between the models at this stage should be interpreted qualitatively. The number of galaxies in each bin of stellar mass and infall time is given in the top-left corner of each panel.