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# Parameter Sensitivity in Hydrologic Modeling - page 108 / 163

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The final step approximates the overall discharge sensitivity as a result of variation in parameter values. Equation 5.3 outlines this calculation. The results from Equation 5.1 describing the lag time elasticity with respect to each parameter are multiplied by the discharge elasticity with respect to lag time as calculated by Equation 5.2.

elasticityQparameter

=

âŽ¢ âŽ¡ âŽ¦ âŽ¤ âŽ¢ âŽ¡ * ) ( * ) ( ) ( l a g Q l a g l a g Q

(lag) ( parameter)

• *

parameter

lag ( parameter )

âŽ¤âŽ¥ âŽ¦

=

âŽ¢ âŽ£ âŽ¡ ) ( ) ( p a r a m e t e r Q

*

âŽ¥ âŽ¦ âŽ¤ ) ( p a r a m e t e r Q p a r a m e t e r

# Equation 5.3

5.2.1

Step 1: Sensitivity of SCS Lag Time to Parameter Variations

Figure 5.5 describes the process analyzed in this section. Variations in parameter values are used to calculate resulting variations in SCS lag times.

Figure 5.5: Step 1 in Calculating the Discharge Sensitivity

98

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