Electron scattering optical depth, calculated using Equation (9) from our derived Q(z). We plot our results from integrating the model UV LFs to two magnitude limits of ﹩{M}_{{\rm{AB}}}=-17﹩ (green) and ﹩{M}_{{\rm{AB}}}=-12﹩ (purple), with 1σ confidence regions as shaded regions. We show the reionization optical depth value and its 1σ confidence levels from Planck Collaboration et al. (2015) in gray.