Result of HD parameter fits for all the scenarios in different redshift bins. Left: Full sample. Center: Spec-z sample. Right: Photo-typed sample. For each scenario, the top panel shows the results for α, then in order going down: β,M₀, σ_M and σ_v. The results are shown for each of the eight LSST realizations together with the mean value. The averages are plotted at the mean redshift positions, while the results for the individual realizations are slightly shifted along the x-axis to improve the clarity of the figure. For each scenario, the black dotted line shows the value of the simulation input. The colored bars show the redshift range used for each fit, the bars have the same colors as the measurements.