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Parameter Sensitivity in Hydrologic Modeling - page 107 / 163

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Figure 5.4: Discharge Sensitivity Calculation

Equation 5.1, Step 1 in calculating the discharge sensitivity, describes the calculation of lag time elasticity. The first term in this equation is the gradient. The gradient is multiplied by the average parameter value for Area 2, and divided by the lag time calculated at the average parameter.

elasticitylag parameter

=

(lag)

  • *

    parameteravg

( parameter) lag( parameteravg )

Equation 5.1

Equation 5.2, Step 2 in calculating the discharge sensitivity, describes the calculation of discharge elasticity based on changes in lag values. Similar to Equation 5.1 the gradient is multiplied by the average lag time value and divided by the discharge calculated at the average lag time.

elasticityQlag

=

* ) ( a v g l a g Q (lag) Q(lagavg

)

Equation 5.2

97

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