Abstract. The ability of single-frequency, millimeter-wavelength radar reflectivity
observations to provide useful constraints for retrieval of snow particle
size distribution (PSD) parameters, snowfall rates, and snowfall accumulations
is examined. An optimal estimation snowfall retrieval that allows
analyses of retrieval uncertainties and information content is applied
to observations of near-surface W-band reflectivities from multiple
snowfall events during the 2006–2007 winter season in southern Ontario.
Retrieved instantaneous snowfall rates generally have uncertainties
greater than 100 %, but single-event and seasonal snow accumulations
from the retrieval results match well with collocated
measurements of accumulations. Absolute fractional differences are
mainly below 30 % for individual events that have more substantial
accumulations and, for the season, 12.6 %. Uncertainties in retrieved
snowfall rates are driven mainly by uncertainties in the retrieved
PSD parameters, followed by uncertainties in particle model parameters
and, to a lesser extent, the uncertainties in the fall-speed model. Uncertainties attributable to assuming an exponential distribution
are negligible. The results indicate that improvements to PSD and
particle model a priori constraints provide the most impactful path
forward for reducing uncertainties in retrieved snowfall rates. Information
content analyses reveal that PSD slope is well-constrained by the
retrieval. Given the sensitivity of PSD slope to microphysical transformations,
the results show that such retrievals, when applied to radar reflectivity
profiles, could provide information about microphysical transformations
in the snowing column. The PSD intercept is less well-constrained by the retrieval. While applied to near-surface radar observations
in this study, the retrieval is applicable as well to radar observations
aloft, such as those provided by profiling ground-based, airborne,
and satellite-borne radars under lighter snowfall conditions when
attenuation and multiple scattering can be neglected.