Tree-based genetic programming approach to infer microphysical parameters of the DSDs from the polarization diversity measurements

The use of polarization diversity measurements to infer the microphysical parametrization has remained an active goal in the radar remote sensing community. In view of this, the tree-based genetic programming (GP) as a novel approach has been presented for retrieving the governing microphysical parameters of a normalized gamma drop size distribution model D-0 (median drop diameter), N-w (concentration parameter), and mu (shape parameter) from the polarization diversity measurements. A large number of raindrop spectra acquired from a Joss-Waldvogel disdrometer has been utilized to develop the GP models, relating the microphysical parameters to the T-matrix scattering simulated polarization measurements. Several functional formulations retrieving the microphysical parameters-D-0 [f(Z(DR)), f(Z(H), Z(DR))], log(10)N(w) [f(Z(H), D-0), f(Z(H), Z(DR), D-0), and mu[f(Z(DR), D-0), f(Z(H), Z(DR), D-0)], where Z(H) represents reflectivity and Z(DR) represents differential reflectivity, have been investigated, and applied to a S-band polarimetric radar (CAMRA) for evaluation. It has been shown that the GP model retrieved microphysical parameters from the polarization measurements are in a reasonable agreement with disdrometer observations. The calculated root mean squared errors (RMSE) are noted as 0.23-0.25 mm for D-0, 0.74-0.85 for log(10)N(w) (N-w in mm(-1) mm(-3)), and 3.30-3.36 for mu. The GP model based microphysical retrieval procedure is further compared with a physically based constrained gamma model for D-0 and log10N(w) estimates. The close agreement of the retrieval results between the GP and the constrained gamma models supports the suitability of the proposed genetic programming approach to infer microphysical parameterization. (C) 2012 Elsevier Ltd. All rights reserved.