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NSE of Log Transformed Flows

This objective function uses the same equation as for the NSE of daily flows (equation (1)), but applies it to log transformed data:

Equation 3
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where c is a small constant equal to the maximum of 1 ML and the 10th percentile of the observed flow.

NSE of Monthly Flows

This objective function uses the same equation as for the NSE of daily flows (equation (1)), but applies it to monthly rather than daily data:

  • If the model is run on a daily time step, Qobsbecomes the sum of the observed flows for month i and Qsimi becomes the sum of the modelled flow for month i. The NSE calculation ignores observed and modelled data for all months where there are one or more days of missing data in the observed flow series. 
  • If the model is run on a monthly time step, then the monthly values are unchanged.

Flow Duration 

Flow Duration of Daily Flows

The flow duration objective function sorts the observed and modelled data values in increasing order and then calculates the NSE of the sorted data.

Flow Duration of Log Transformed Flows

This objective function calculates the flow duration objective function using the log transformed flows in Equation (3).

Absolute Bias

The equation for the absolute value of the relative bias is:

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