HOD in MDPL2-SAG and TNG300 catalogues for different void radii. Left column: results for MDPL2-SAG and right column: TNG300 catalogue, for R_void <  10 h⁻¹ Mpc (orange), 10 h⁻¹ Mpc < R_void <  15 h⁻¹ Mpc (purple), 15 h⁻¹ Mpc < R_void <  20 h⁻¹ Mpc (blue), and 20 h⁻¹ Mpc < R_void (green). Each panel corresponds to a different magnitude limit M_r − 5 log₁₀(h) ranging from −17 to −20. The uncertainties are calculated following the standard jackknife procedure.