Ratio between the HOD of central galaxies located in voids at z = 0 and the general HOD of the Universe at three different redshifts. The solid black line with diamonds corresponds to z = 0, the dashed red line with squares to z = 0.304, and the dashed pink line with triangles to z = 0.49. The HOD for all cases was calculated for galaxies with M_r − 5log₁₀(h) <  − 17 at z = 0 with halo masses fixed to their z = 0 values. The error bars were estimated via the Jackknife resampling method and using 50 subsamples.