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<br />003123 <br /> <br />Page 22 <br /> <br />4) Annual runoff increase was apportioned to two-week intervals based on <br /> <br />experience at Fraser Experimental Forest (Troendle, 1983): <br /> <br />April <br />May <br />May <br />June <br /> <br />15-30 <br />1-14 <br />15-30 <br />1-15 <br /> <br />5% <br />25% <br />45% <br />25% <br /> <br />The end result of these four steps was a set of runoff increase estimates <br /> <br />associated with each year of historical data usedin the simulations. Table III <br /> <br />depicts the runoff increases and the associated pre-increase flows. The runoff <br /> <br />increase averages 82,000 acre-feet per year, which is 0.5 percent of the mean ,~ <br /> <br />annual flow at Lee Ferry. <br /> <br />I~ <br />r~ <br /> <br />2. Network representation of the Colorado Ri~er system <br /> <br />MODS 1M utilizes an implementation of the Out-of-Kilter Algorithm developed <br /> <br />by Barr, et.al. (Barr, Glover and Klingman, 1974) to solve a network flow, <br /> <br />1967; Clasen, 1968). The Out-Of-Kilter Algorithm solves for the optimal flow in <br /> <br />~ <br /> <br />problem by minimizing transportation costs (Fulkerson, 1961; Durbin & Kroenke, <br /> <br />a circulatory network among nodes, where there is a cost associated with moving <br /> <br />a unit of flow along a link from one node to another. MODS 1M utilizes the Out- <br /> <br />Of-Kilter Algorithm by converting a tree-structured hydrologic system, with <br /> <br />inflows, demands, outflows and storage, to a circulatory network by connecting <br /> <br />all points of inflow and outflow to a single mass balance node. The amount of <br /> <br />demand, storage, inflow or outflow,at a node is represented by the flow in the <br /> <br />link (or links) to the mass balance node. <br /> <br />/C/.:J <br /> <br />:5,,-~ <br /> <br />) .-1-1 cD....:> ,9'" (J <br />r?OZ: C-z)nrl!/JUj/~cf.Q I/V!()-f'/.)-,;'7C,C' ;1-..'. <br />'/, /) . \,..\ } .' ~ l <br />f'Y20~ytA It:.( elf'. r> / f.f/l/l/,oJ :"'c:"' ,. :/,;-" (I <br /> <br />1 -.h.l Lt~^ " 'Cr.1 <br />r; I rr~.' 'Ll/):'fvr (,ij]/( i"f?r 1<( (;!/, j" rt'.:-:, I ~ ' ( ':r <br />,1'J, '. <br />(, <br /> <br />, ( <br />.... <br /> <br />(/IA ( ~"1t (1(" VI .)(~\ <br /> <br />.5% <br /> <br />VM Ot-<",<?~_ <br />~rth.Q\-' " <br /> <br />I <br />lI'Yle "(1,....).(" <br /> <br />.: '/ <br />