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<br />I <br />1 <br />I <br />I <br />I <br />I <br />I <br />,I <br />I <br />I <br />I <br />r <br />I <br />I <br />I <br />,I <br />I <br />I <br />I <br /> <br />5 <br /> <br />c. the large scale vertical motion precipitation component <br /> <br />(Rls), <br />5,0 that we can write <br /> <br />RT = Ro + Rc + Rls <br /> <br />(1-1) <br /> <br />These three components have been discussed by Elliott and Schaffer <br />(1962), Hjermstad (1970), Chappell (1970), and others. <br />In (1-1) the three components may have different magnitudes (when <br />compared to each other) depending on the degree of stability of the <br />atmosphere, the underlying topography, and large scale weather condi- <br />tions. However, in most complex terrain areas, the topography exerts <br />the most dominant effect due mainly to a more persistent orographic <br />vertical motion field and convection resulting from forced lifting over <br />the barrier. Previous observations of the ridge-to-valley winter <br />precipitation ratios range between 2/1 and 1011 and make evident this <br />topographic dominance (Hjermstad, 1970; Rogers, 1970; Rhea, 1978; and <br />others). <br />In many hydrologic studies (Peck and Brown, 1962; Schermerhorn, <br />1967), it has been found, based on observations, that precipitation in <br />mountainous areas increases with elevation, which helped in developing <br />local linear regression relationships between these two variables <br />(precipitation versus elevation). These studies, however, did not try <br />tCI directly relate these factors to any causal meteorological flow <br />features (wind, temperature, moisture, etc.). <br />In the last 25 years, a number of orographic precipitation models <br />have been developed. A few are three-dimensional (3-D) (Colton, 1975). <br />