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<br />I 3 6 7 9 I I 13 16 17 19 21 23 25 Z1 29 31 33 :Ii <br />~ ~ <br /><I <br /> <br /> <br />...1 <br /> <br />'J9 <br />37 <br />36 <br />33 <br />31 <br /> <br />21 <br /> <br />19 <br />17 <br />16 <br />13 <br />II If <br />9 <br />7 <br />6 <br />3 <br />I I <br />I 3 6 7 9 f1 13 16 17 19 21 23 25 'Zl 29 31 33 :Ii <br /> <br />Fig. 3. Model topography for the Delaware River <br />watershed (contours in feet). <br /> <br />The Arizona study area is most distinguished <br />by the prominent near-horseshoe-shaped Mogollon <br />Rim that extends from the north-central part of the <br />state southward, then turning eastward to the New <br />Mexico border. The rim is marked by a generally flat <br />summit and relatively low elevations near 2150 m <br />( -7000 ft) with tbe exception of two peaks that extend <br />above 3050 m (-10 000 ft). <br /> <br />The Delaware River study area is marked by <br />the presence of the Atlantic Ocean on the southeast <br />and rising terrain to the north, with the highest area in <br />the northeast at the southern end of the Catskill <br />Mountains. Elevations at the headwaters of the <br />Delaware are generally well less than 1200 m <br />(- 3900 ft). <br /> <br />Regularly scheduled OOZ and 12Z rawinsonde <br />data were obtained and interpolated to 50-mb <br />intervals for use by the model. In the case of the <br />Delaware River watershed, soundings were obtained <br />from Pittsburgh (PIT), Albany (ALB), and Dulles <br />(lAD). For the Mogollon Rim, soundings from Desert <br />Rock (DRA), Winslow (INW), and Tucson (TUS) <br />were obtained. Additionally, soundings developed by <br />the MM4 regional model were used as input to the <br />model. The latter soundings are available at 6-hour <br />intervals as opposed to 12 hours for the regularly <br />scheduled observational data. The MM4 was <br />initialized at 12-hour intervals with European Center <br />for Medium Range Forecast's large-scale analysis of <br />January 1979 First Global Atmospheric Research <br />Project Global Experiment data. Matthews et al. <br />(these proceedings) discuss the MM4 analysis. <br /> <br />The two-dimensional feature of the model <br />demands for best results that, for each grid line, there <br />be representative sounding information at the upwind <br />border. Interpolation of the sounding data can <br />substantially affect the performance of the model. <br />Rhea (1977) interpolated from available sounding data <br />to 10 border positions and the center of the area of <br />interest. The border points were selected to well <br />represent important moisture sources and distribution. <br />Each grid line was then assigned to a particular <br />border-point sounding. In the current applications, a <br />similar procedure was generally applied but with <br />determination of the 11 soundings by use of a series of <br />weights based on inverse distance squared to real <br />soundings and general knowledge of weather <br />conditions accompanying winter precipitation events. <br />Assignment of grid lines to a border sounding was <br />based on distance to border points and general <br />weather knowledge. <br /> <br />The model requires for each run that one of <br />the 36 topographic grids be selected. Pittsburgh- <br />sounding 850-mb winds were found appropriate to <br />select the grid in the case of the Delaware River, and <br />the average of Tuscon and Winslow 700-mb winds <br />were best for the Mogollon Rim. With MM4- <br />produced soundings, 7oo-mb winds at a point near the <br />center of the model domain determined the <br />topographic grid to be used. <br /> <br />The vertical displacement of the air layers as <br />they cross the underlying terrain is estimated by the <br />model depending on airmass stability and terrain rise. <br />In the only attempt to simulate effects of convection, <br />an additional enhancement of air-layer rise over the <br />highest terrain is included in the model (thus leading <br />to additional condensate generation). Model runs <br />were performed to determine values of parameters <br />affecting air-layer displacement that led to improved <br />model estimations of gauge precipitation. <br /> <br />The model can estimate the large-scale <br />vertical motion provided that at least three real <br />soundings are available for each ob~ervational time. <br />For the Delaware River watershed, ::omputation and <br />inclusion of this factor into the model led to no <br />improvement, and it was thus eliminated. In fact, best <br />results were obtained using a single sounding for filling <br />all model border points as opposed to interpolated <br />estimates from three soundings. Similar unfruitful <br />results were obtained from attempts to incorporate the <br />large-scale vertical motion in the case of the Mogollon <br />Rim, with the exception of cases utilizing MM4 model- <br />produced soundings where little effect was observed. <br />More analysis is required on model runs using MM4 <br />information. <br /> <br />Model efficiency (E) was determined <br />according to Rhea's procedure (1977). Attempts to <br />improve model capability by altering E's formulation <br />have generally produced little gain. <br />