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variable. If the elasticity is less than one, the parameter is “inelastic” in that the dependent variable is less sensitive to the independent variable. Figure 5.3 below shows the concept of elasticity graphically:

gradient

=

dy dx

Y*

dx

dy

elasticity =

dy

dx

Y* X*

=

%changeoutput %changeinput

X*

Figure 5.3: Concept of Elasticity

The goal of this analysis is to determine the effect of parameter variations

on the lag time, and subsequently the parameter variations on discharge. This

The reason for this is created a hydrologic

that Area 2 is the

model.

After

an

effect of analysis is only study analytical

lag time variations due to conducted only for Area 2. area for which TxDOT has calculation of gradients to

determine lag time TxDOT is used to as shown in Figure

elasticity for each parameter, the hydrologic model created by numerically calculate the elasticity of discharge with lag time 5.4.

96

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