Apparent K-band magnitude distributions for the halos in our simulation and for SDSS galaxies. The orange line refers to the Legacy MGS galaxies with apparent K-band magnitude from the NYU-VAGC sample. The light blue line refers to the m_K distribution for all halos in our simulation (with m_K computed with Eq. (1)). The green line shows the distribution for our magnitude-selected simulated galaxy sample. The vertical black dashed line shows our magnitude threshold of m_K = 14.