From left to right: Average number of dark matter pairs (top panels), halo occupation function (middle panels) and residuals (bottom panels) with respect to the CDM reference level (solid blue line) as a function of M_200c in box 50/A in the range 0 < z < 2 for CDM (blue circles), WDM3 (black triangles), WDM5 (crimson diamonds), SIDM1 (gold pentagons), and vSIDM (green triangles). The corresponding errors are computed with the standard deviation of the measurements for each mass bin. The dashed horizontal gray line represents the expected ratio for a Poissonian distribution. The solid horizontal gray line marks the central halo that always exists for M_200c > M_min.