With the use of 213,456 one-minute measured data of droplet-size distribution (DSD) of rain collected during several National Aeronautics and Space Administration (NASA)-sponsored field campaigns, the relationships between rainfall rate R, mass-weighted diameter D
m and normalized intercept parameter N
w of the
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With the use of 213,456 one-minute measured data of droplet-size distribution (DSD) of rain collected during several National Aeronautics and Space Administration (NASA)-sponsored field campaigns, the relationships between rainfall rate R, mass-weighted diameter D
m and normalized intercept parameter N
w of the gamma DSD are studied. It is found, based on the simulations of the gamma DSD model, that R, D
m and N
w are closely interrelated, and that the ratio of R to N
w is solely a function of D
m, independent of the shape factor μ of the gamma distribution. Furthermore, the model-produced ratio agrees well with those from the DSD data. When a power-law equation is applied to fit the model data, we have:
, where
,
. Analysis of two-parameter relationships such as R–D
m, N
w–R and N
w–D
m reveals that R and D
m are moderately correlated while N
w and D
m are negatively correlated. N
w and R, however, are uncorrelated. The gamma DSD model also reveals that variation of R–D
m relation is caused primarily by N
w. For the application of the Ku- and Ka-band dual-frequency radar for the retrieval of the DSD bulk parameters as well as the specific radar attenuations, the study is carried out to relate the dual-frequency radar reflectivity factors to the DSD and attenuation parameters.
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