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<br />radar estimates from the nine surrounding polar grid bins, it assigns a radar estimate thaI: is <br /> <br />exactly equal to the gauge observation, i.e., it forms a perfect-match (unbiased) gauge-radar pair. <br /> <br />This is illustrated in Fig, 8 by the closed circles that fall exactly along the I: I diagonal line. If <br /> <br />the gauge observation falls outside of the nine-bin range, then the closest radar estimate of the <br /> <br />nine bins to the gauge observation is chosen in forming the gauge-radar pair. The closed circles <br /> <br />that are displaced from the diagonal line in Fig. 8 illustrate this situation. This methodology is <br /> <br />designed to account for the uncertainties in precise knowledge of the gauge location and the <br /> <br />exact radar bin(s) that contribute rain to the gauge (due to horizontal advection ofrain below the <br /> <br />beam), For this case. there is a large breadth of radar rainfall estimates in the nine polar bins <br /> <br />surrounding most gauges due partly to the convective nature of the rainfall on this day and partly <br /> <br />to the increasing beam width with range. Stratiform rainfall events with typically smaller <br /> <br />horizontal gradients of rainfall may not exhibit such large 3x3 bin variability. <br /> <br />The net impact of this method of forming gauge-radar pairs in the PPS Adjustm,~nt <br /> <br />algorithm on the resulting bias estimates appears to be an artificial smoothing out of any true <br /> <br />biases that may exist even betJre the data gets passed into the Kalman filter bias estimation <br /> <br />procedure. There is a tendency to cause the computed bias estimates to be closer to unilty than <br /> <br />they might otherwise be if other methods were used. Table I illustrates this. It shows the storm- <br /> <br />total "sample" bias (i.e., the bias based on gauge-radar observations as opposed to the Kalman <br /> <br />filter-based bias estimates from the Adjustment algorithm) according to the fonnula <br /> <br />B.....I. = L G, I L R; <br /> <br />12 <br />