Distribution of center weights, for kernels of different sizes, applied to a random catalog with the same fiducial volume and density as the SDSS DR9 CMASS NGC survey. The dark blue curve corresponds to R₀ = 80.5 h⁻¹ Mpc and yellow corresponds to R₀ = 139 h⁻¹ Mpc. Intermediate colors correspond to the intermediate kernel sizes used in this analysis. The red stars indicate the threshold values, C_min used to create catalogs of probable centers at each kernel size.