1.6 < Z < 3.2

We use high quality echelle spectra of 24 QSOs to provide a calibrated measurement of the total amount of Lyα forest absorption (DA) over the redshift range 2.2 < z < 3.2. Our measurement of DA excludes absorption from metal lines or the Lyα lines of Lyman limit systems and damped Lyα systems. We use artificial spectra with realistic flux calibration errors to show that we are able to place continuum levels that are accurate to better than 1%. When we combine our results with our previous results between 1.6 < z < 2.2, we find that the redshift evolution of DA is well described over 1.6 < z < 3.2 as A(1 + z) , where A = 0.0062 and γ = 2.75. We detect no significant deviations from a smooth power law evolution over the redshift range studied. We find less H I absorption than expected at z = 3, implying that the UV background is about 40% higher than expected. Our data appears to be consistent with an H I ionization rate of Γ ∼ 1.4 × 10 s.