Normalised distribution of the nearest distances to filaments for galaxy mergers located outside 1 × R₂₀₀ in the 33 galaxy clusters (dashed orange line), compared to the non-merging cluster galaxy population outside 1 × R₂₀₀ of each respective cluster (dotted blue line). Error bars correspond to Poisson uncertainties in each bin, while vertical lines mark the median of each distribution. Shaded regions indicate the 68% bootstrap confidence intervals (percentiles 16–84) around the median. Clusters are ordered from lowest to highest p-value, where a lower p-value indicates stronger evidence of a difference between the distributions. Distances to filaments are truncated at 2 Mpc to emphasise the vicinity where most merger candidates are found, although the full distributions extend up to ∼4 Mpc.