ABSTRACT First, the evolution with cosmic time of the hydrogen clouds which produce the Lyman-alpha absorption lines is studied in dependence on the strength of these lines. From the analysis it is concluded that the results show no evidence of a dependence in the sense of stronger lines evolving faster, although for the resolution at which the used observations were done, it can not be ruled out. Within the same analysis, a distribution of the Doppler parameter of the lines was obtained, with large values and a wide spread. This parameter being an indicator of the gas temperature, this result is in accordance with high temperatures and, consequently, large ionised fractions and a large fraction of the baryonic matter of the universe being associated with these clouds. However, recent high resolution studies seem to reveal that much lower temperatures are characteristic of the clouds. The main content of this thesis, however, focuses on the redshift evolution of the absorbing systems producing absorption at the Lyman limit and of the amount of CIV producing CIV absorption lines. Regarding the CIV absorbers, previous predictions on the effects underlying their redshift distribution pointed to an increase with redshift of the absorbing column densities. In this thesis the first direct measurements of such column densities by profile fitting of a large number of absorption systems (73) are presented, confirming the predictions of a decrease of at least a factor of 3 between z=1.5 and z=3.0. The study on the evolution of Lyman limit absorption systems (LLSs) puts an end to previous discrepancies between the results of different groups. Both a smooth single power law dependence of the LLS number density on redshift indicating no evolution in number density for 0.4 ≤ z ≤ 4.1, and a broken power law with a rapid increase above z ~ 2.5 had been obtained with different data sets. A detailed analysis reveals here the reasons for these discrepancies and obtains the most reliable result to date, which is consistent with no cosmological evolution of these absorbers, allowing for, at most, a mild evolutionary rate, depending on the cosmology chosen to interpret the redshifts. Taken together, the results on these two classes of absorbers allow to conclude on the effects underlying the evolution of the intervening objects: This is due mostly to an increase of the chemical abundance of C and not to changes in the ionisation conditions of the absorbers, which may be present to a small extent. Given these constraints on the changes in the ionisation conditions of the absorbers, it was possible to set limits on the evolution of the ionising metagalactic UV background radiation. These limits are compared with a thorough compilation of variously determined results and theoretical predictions on the evolutionary behaviour of this metagalactic radiation from the literature, and are in agreement with those favouring mild or no decrease above z=2.5. To prepare the observations of many QSOs with the HST by the Team of the HST Key Project on QSO absorption lines, and in particular to estimate the necessary exposure times, the magnitudes of several of these objects had to be re-measured. The acquisition of their images and the results of the photometric calculations performed on them are also described in a separate chapter.