The authors derive relations of the equivalent radar reflectivity Z(e)
and extinction coefficient alpha of ice clouds and confirm the theory
by in situ aircraft observations during the First International Satel
lite Cloud Climatology Project Regional Experiment. Equivalent radar r
eflectivity Z(e) is a function of ice water content W and a moment of
the size distribution such as the median volume diameter D-0. Stratifi
cation of the data by Do provides a set of W-Z(e) relations from which
one may deduce the dependence of particle density on size. This relat
ion is close to that of Brown and Francis and provides confidence in t
he methodology of estimating particle size and mass. The authors find
that there is no universal W-Z(e) relation, due both to large scatter
and systematic shifts in particle size from day to day and cloud to cl
oud. These variations manifest the normal changes in ice crystal growt
h. The result is that, with the exception of temperatures less than -4
0 degrees C, temperature cannot be used to reliably parameterize the p
article size as has been previously suggested. To do so is to risk lar
ge possible systematic errors in retrievals. Even if one could measure
monthly averages of ice water content, this is inadequate to estimate
the monthly radiative effect because of the nonlinearity between the
two. The authors show that a sizable fraction of radiatively significa
nt clouds would be missed at a radar threshold of -30 dBZ, the value p
roposed for a spaceborne cloud-profiling radar.