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<br />When the model was run on CVR soundings and INW 750-mb wind speed was included as a <br />second independent variable in MLR, the multiple corre~ation was 0.72, approaching the 0.78 <br />obtained with local sounding data. The model physics probably could be improved (in some <br />future effort) to at least attain the level yielded by the more statistical approach. <br /> <br />Performance of a followup task to study cloud PE would involve application of the forecasting <br />equations to the 10-winter sounding data set. It would be prudent to also employ the model <br />approach and compare results with those obtained from the equation rendered by the statistical <br />method. <br /> <br />A decision is required on whether an R2 of about 0.45 (statistical approach) is ad.equate to <br />justify the performance of task 2 involving the estimation of the PE. The determination <br />depends somewhat on the value to Arizona ofthe knowledge ofPE. Clearly, additional water is <br />of substantial value to Arizona. Thus far, studies indicate cloud seeding to be promising for <br />increasing winter precipitation over the Mogollon Rim. Consequently, a numerical procedure <br />that can contribute to the quantification of cloud seeding possibilities should be of value and <br />interest. The procedure can then be used in future assessments of the benefits of cloud seeding. <br /> <br />About half of the variance is left to noise from the procedures described in this study. However, <br />the analysis proposed for a followup task 2 is largely of a climate nature. Other forecasting <br />systems, such as the seasonal forecasting of hurricanes, have also encountered substantial <br />noise. In these types of problems, explaining about one-half of the variance offers beneficial <br />results because of the high value of the product to society. <br /> <br />Performing task 2 <br /> <br />The primary purpose of performing task 2 is the development of relationships, applicable to a <br />historical period, that estimate PE in winter storms on the Mogollon Rim. For Arizona, the <br />definition ofPE must be loosely applied because the ice water that crosses the barrier cannot be <br />estimated in historical data. Yet, ice water does influence PE and, in some cases, will likely <br />substantially increase estimate errors. However, the error from exclusion of transient ice water <br />is not likely to render pointless the performing of task 2. The rationale for this impression and <br />the general approach to performing the task follows. <br /> <br />The PE can be estimated by an expression such as the following (excluding water vapor in the <br />water budget because saturation is assumed within clouds and the temperature changes are <br />not large in the immediate vicinity of a ridge crest): <br /> <br />P <br />PE = I (1) <br />PI+IT+LT <br /> <br />The PI represents ice precipitation; that is, all precipitation captured by the gauge is assumed <br />to be snow, though if some consisted of raindrops one should assume inclusion in the PI. The IT <br />represents ice in transit that does not precipitate at least in the local study area. Similarly, the <br />LT stands for cloud liquid water in transit for points downwind beyond the geographical area of <br />interest. <br /> <br />For Arizona, the expression must be modified to the following: <br />P <br />PE= I <br />PI + LT <br /> <br />(2) <br /> <br />17 <br />