Ratios L_ratio (top) and F_ratio (bottom) shown as a PDF over all lines of sight for both all directions and emitters at a given redshift as shown by the colormap. We chose the double peaked input spectrum, but we also find a very similar result for the centrally peaked input spectrum. The four overplotted lines in each panel show different averaging methods (see text). We assume that no peak can be detected (hence no ratio) when the flux remaining after passing the IGM is less than 1% of the intrinsic flux I(λ).