The Gamma-Gamma Maximum a posteriori filter provides an estimate of the speckle-free radar cross-section when both the radar reflectivity and the speckle distributions are gamma-distributed. In this Letter, it is shown that a factor greater than two in precision can be typically gained in the radar cross-section estimate in the case of natural land Synthetic Aperture Radar (SAR) clutters. This is accomplished by using the normalized logarithmic estimator which is a more accurate index than the coefficient of variation to deduce the local heterogeneity parameter.