Cumulative distribution function of the local galaxy overdensity of different galaxy subsamples defined in this work, calculated following Zarattini & Aguerri (2025). The solid lines show the behavior of all the cluster (red), and filament (violet) galaxies included in Castignani et al. (2022)’s work (barred or not). The dashed lines show the behavior of the morphologically selected barred galaxies, which have been obtained from Walmsley et al. (2023) and adopted in this study. The dashed red, violet, and blue lines mark the cluster, filament and field barred galaxies, respectively.