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INDIRECT PARAMETER ANALYSIS <br />The determination of flow criteria for salmonid egg incubation is <br />an example of indirect analysis, relating surface hydraulic conditions <br />to subsurface hydraulics in the gravels. Essentially, a redd is located <br />in an unconfined, submerged aquifer. Therefore, hydraulic conditions of <br />the surface waters play an important role in determining hydraulic <br />conditions through the gravels. Unfortunately, most studies examining <br />the survival of eggs in redds were exclusively concerned with sub- <br />surface flow conditions, without discussion of surface flow factors. <br />Given an initial dissolved oxygen content high enough to provide <br />good embryo survival, two hydraulic factors remain which determine <br />the survival of eggs. The first is the velocity of water through the <br />gravel, the apparent velocity, which is important in the delivery of <br />oxygen to the embryos and in the removal of metabolic wastes. The <br />second hydraulic factor is the tractive force, or shear stress, of the <br />water. Certain shear stresses are desirable because they prevent the <br />deposition of fines in the interstices of gravel.- However, higher <br />shear stresses can cause movement of gravel, resulting in redd destruc- <br />tion and egg mortality. <br />Therefore, the objective of the calculation of incubation criteria <br />was to determine water column hydraulic conditions which would result in <br />the desired apparent velocities, without scouring or filling the sub- <br />stratum. <br />The apparent velocity is a function of <br />surface slope) and the permeability of the <br />defines apparent velocity as: <br />Va = KS <br />where, <br />Va = Apparent velocity in cm/hr <br />K = Permeability in cm/hr <br />S = Hydraulic gradient (dimensionless) <br />(1) <br />Apparent velocity may be related to surface hydraulics through the <br />use of Manning's equation, <br />the hydraulic slope (water <br />gravels. Terhune (1958) <br />14 <br />