  We measure the amount of absorption in the Lyman-alpha forest at 0 < z < 1.6
in HST FOS spectra of 74 QSOs. At 0 < z < 1.6 we find that 79% of the
absorption is from the low density intergalactic medium, 12% from metals and 9%
from the strong H I lines, nearly identical to the percentages (78, 15 and 7)
that we measured independently at z=2 from spectra taken with the Kast
spectrograph on the Lick 3-m. At z=1 the low density intergalactic medium
absorbs 0.037 +/- 0.004 of the flux. The error includes some but not all of the
uncertainty in the continuum level. The remaining part gives relative errors of
approximately 0.21 when we report the mean absorption in eight independent
redshift intervals, and 0.047 when we average over all redshifts. We find 1.46
times more absorption from the low density intergalactic medium than comes from
Ly-alpha lines that Bechtold et al. 2002 listed in the same spectra. The amount
of absorption increases with z and can be fit by a power law in (1+z) with
index 1.01. This corresponds to no change in the number of lines, of fixed rest
frame equivalent widths, per unit redshift, consistent with the Janknecht et
al. 2006 results on the distribution of lines. When we include similar
measurements from higher redshifts, we need more degrees of freedom to fit the
amount of absorption at 0 < z < 3.2. A power law with a break in slope,
changing from index 1.5 at low z to 3.0 above z ~ 1.1 is a better but only
marginally acceptable fit. We also calculate two other continuous statistics,
the flux probability distribution function and the flux autocorrelation
function that is non zero out to v ~ 500 km/sec at 0.5 < z < 1.5.
