HODs and corresponding ratios between environmental and global HODs for a magnitude cut of M_r < −20.0. We show the results using a DisPerSE persistence threshold of 3σ (top two rows) and 5σ (bottom two). Each column indicates a different smoothing level (0, 1, and 2). The top and fourth rows show the mean number of galaxies as a function of halo mass, ⟨N|M_h⟩, for all halos (black) and for those in filaments (yellow), filament outskirts (orange), and other regions (red). The second and fifth rows show the ratio of the environmental HODs to the global one, highlighting relative variations across halo masses and environments.