Hess diagrams (apparent i magnitude as a function of ﹩i-z﹩ color) for the DR7 M7–M9 and L dwarf samples (from W11 and S10; left) and the component of the BUD sample selected from DR10 (right). In the DR7 sample, we differentiate between M and L dwarfs, while in the DR10 sample, we distinguish dwarfs targeted specifically for the sample (black dots; as described in Section 2.3.1) from those observed due to other target selections (red dots). The blue limit of the DR7 sample reflects the spectral type cut at M7, while the excluded color and magnitude regions represent the criteria applied to select low and high redshift quasars (Richards et al. 2002). The artifacts at ﹩i-z﹩ = 1.14 and ﹩i-z﹩ = 1.44 in the DR10 sample (right) are due to the color cuts applied to the Stripe82 and the main sample, respectively (see Section 2.3.1 and Table 1).