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<br />Since late 1981, HMS has used a combination of surface weather station <br />data and a 2-D cloud methodology to predict the peak rainfall rate associated <br />with convective rainfall. HMS has found that the depth of a thunderstorm's <br />updraft that is warmer than O. Celsius is directly related to the rain-production <br />potential of the cloud, When the warm depth of the updraft exceeds 1.5 km in <br />Colorado, for instance, the rain-production potential of the cloud doubles, <br /> <br />7 <br /> <br /> <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />radar reflectivity and the intensity of the rainfall rate. This relationship is <br />described by the equation (1) below: <br />(1) Z = A Rb <br /> <br />Where, Z is the radar reflectivity in dBZ, A is an empirically derived co-efficient <br />related to the cloud phYSiCS of the storm cloud water droplets and b is another <br />empirical co-efficient related to the type of storm cloud present. This <br />relationship has proven to produce highly variable results. Since the values of <br />both A and b are variables that must be assumed, opportunities for errors in the <br />calculation are possible. <br /> <br />The algorithms used to estimate the rainfall are standard for use around <br />the country and have not proven to be responsive to local cloud variations, The <br />r-squared or "goodness" of the rain to radar reflectivity statistical relationship has <br />varied from 0,15 to 0.90 on a daily basis and for most storm seasons has been <br />about 0.60. <br /> <br />The good r's (values >0.75) have been for the low volume and low <br />intensity rain events (stratiform rainfall), generally those of less than 0.25"/hr <br />accumulation rates. The high intensity, high volume, thunderstorms (convective <br />rainfall) have shown r-values of 0,15 to 0.45. Thus the standard prOducts <br />appear to be unreliable at this point. The storm rainfall has been both <br />overestimated and underestimated for periods of less than three hours for <br />storms within 25 miles of each other, <br /> <br />Finally, hail "contamination" of the equation has proven to be a <br />troublesome problem to deal with as well. Since the strength of the radar signal <br />is related objectively by the algorithm to the estimated rainfall, the strong radar <br />return value of hailstones will usually cause an over-estimation of the rainfall <br />rate. <br /> <br />HMS uses its own method to solve these problems related to rainfall over <br />and under estimation. The HMS method uses the radar reflectivity to locate the <br />portion of the precipitating cloud where the heaviest rainfall is located rather <br />than to calculate a rainfall rate. In over 90 percent of the operational heavy rain <br />days in the Urban Drainage & Flood Control District since 1985, HMS has <br />observed that the heaviest rainfall has occurred when the strongest radar <br />reflectivity field passes over the rain gauges. Given the validity of this <br />assumption, the next step is to calculate the peak rainfall rate associated with <br />the storm, which can in turn be related to the strongest radar reflectivity values. <br />