The stochastic inversion method in ionospheric radiotomography is revi
ewed with a special emphasis on regularization used in the inversion p
rocess. Regularization is used both for preventing vigorous point-to-p
oint oscillations and for controlling the peak altitude and thickness
of the inversion result. The latter usually means importing a priori i
nformation on the layer height and thickness to the solver. In this pa
per it is pointed out that due to the curvature of the Earth and of th
e ionosphere, the measurements contain some information on the ionosph
eric altitude and the profile shape even in the case of a purely horiz
ontally stratified layer. If this information could be used in choosin
g an appropriate regularization, no additional information would be ne
eded. Simulation tests are presented which indicate that the altitude
of a horizontally stratified layer can be determined with a reasonable
accuracy without any a priori information. An attempt is also made to
use the data for determining the shape of a proper regularization pro
file. Although some success is achieved in this effort, it is conclude
d that available a priori information, for example, ionosonde or incoh
erent scatter measurements, should be used in choosing the regularizat
ion profile. The ideas are tested with true data obtained from differe
nce Doppler measurements carried out in Scandinavia, and the results a
re compared with simultaneous observations made by the European incohe
rent scatter radar. The comparison shows a reasonable agreement, altho
ugh clear discrepancies also occur, for instance, in the shape of the
bottomside profile.