We have analyzed the total HI contents of 72 Hickson compact groups of gala
xies (HCGs) and the detailed spatial distributions and kinematics of HI wit
hin a subset of 16 groups using the high angular resolution observations ob
tained with the VLA in order to investigate a possible evolutionary scenari
o for these densest systems in the present day galaxy hierarchy. For the mo
re homogeneous subsample of 48 groups, we found a mean HI deficiency of De
f(HI) = 0.40 +/- 0.07, which corresponds to 40% of the expected HI for the
optical luminosities and morphological types of the member galaxies. The in
dividual galaxies show larger degrees of deficiency than the groups globall
y, Def(HI) = 0.62 +/- 0.09 (24% of the expected HI), due in most cases to e
fficient gas stripping from individual galaxies into the group environment
visible in the VLA maps. The degree of deficiency is found to be similar to
the central galaxies of Virgo and Coma cluster, and Coma I group, in spite
of the significantly different characteristics (number of galaxies, veloci
ty dispersion) of these environments. It does not seem plausible that a sig
nificant amount of extended HI has been missed by the observations. Hence p
hase transformation of the atomic gas should explain the HI deficiency. The
groups richer in early type galaxies or more compact with larger velocity
dispersions show a weak tendency to be more HI deficient. The detection rat
e of HCGs at X-ray wavelengths is larger for HI deficient groups, although
the hot gas distribution and hence its origin is only known for a few cases
. In the evolutionary scenario we propose, the amount of detected HI would
decrease further with evolution, by continuous tidal stripping and/or heati
ng. The H-2 content also tends to be lower than expected for the galaxies i
n HI deficient groups, this may suggest that the HI stripping by frequent t
idal interaction breaks the balance between the disruption of molecular clo
uds by star formation and the replenishment from the ambient HI.