Histograms of the transverse velocities for the local sample and for deep fields, with pseudo-R smaller than 8 kpc or larger than 9 kpc: Vt_l (top row), Vt_b (bottom row). Left column: local data (continuous black line), local model (magenta dashed line), deep field data (continuous grey line), and deep field model (dashed cyan line). Right column: R < 8 kpc data (continuous black line), R < 8 kpc model (magenta dashed line), R > 9 kpc data (continuous grey line), and R > 9 kpc model (dashed cyan line).