Top: completeness fraction of GLADE+ in the K band, indicating the probability that the catalog contains the host galaxy of a GW event, as a function of the redshift for H 0 = 67.9 km s−1 Mpc−1 and Ωm = 0.3065. The different lines are calculated for a given K-band apparent magnitude m thr threshold indicated in the legend. The legend also indicates the fraction of the sky, computed by dividing the sky in equally sized pixels of 3.35 deg2, for which the apparent magnitude threshold is brighter than the one reported in the legend. The fraction of pixels with no galaxies is ∼ 5% for the B j and K bands. Bottom: same as the top panel but for the B J band.