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Objective Function NameDescriptionReference
NSE DailyMaximise the NSE of daily flowsVaze et al. (2011), Section 6
NSE MonthlyMaximise the NSE of monthly flowsVaze et al. (2011), Section 6
NSE Log DailyMaximise the NSE of the logarithm of daily flows
Minimise Absolute BiasMinimise the Absolute value of the relative biasVaze et al. (2011), Section 6

NSE Daily & Bias PenaltyMaximise the NSE of daily flows and bias penaltyVaze et al. (2011), Section 6
NSE Log Daily & Bias PenaltyMaximise the NSE of the logarithm of daily flows and bias penalty
NSE Monthly & Bias PenaltyMaximise the NSE of monthly flows and bias penaltyVaze et al. (2011), Section 6
NSE Daily & Flow DurationMaximise the NSE of daily flows and the NSE of the flow durationVaze et al. (2011), Section 6
NSE Daily & Log Flow DurationMaximise the NSE of daily flows and the NSE of the flow duration of log flowsVaze et al. (2011), Section 6
Square-root Daily, Exceedance and Bias

Minimise a combination of the bias, daily Flows and daily exceedance (flow duration) curve

Lerat et al., 2013

Implementation Details

The Bivariate Statistics SRG User Guide entry provides general information on the objective function equations and their interpretation. Implementation details that are specific to the Source Calibration Wizard are described below.

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Monthly Flows

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  • If the model is run on a daily time step, monthly flows are calculated by summing the observed and modelled daily flow values. 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.

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Modellers have the option of selecting one optimisation technique, two optimisation techniques (in series), or manual optimisation.   Modellers can also select which objective function they wish to use.   The other parameters the modeller can input are described in the following table:in Table 2

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Table 2
Table 2
Table 2. Objective function parameters. Refer to the Bivariate Statistics SRG User Guide entry for further information on their implementation.

Objective Function
ParameterParameter DescriptionUnitsDefaultRange
NSE Daily & Flow DurationaWeight on NSE in the combined objectiveDimensionless0.50 ≤ α ≤ 1
NSE Daily & Log Flow DurationaWeight on NSE in the combined objectiveDimensionless0.50 ≤ α ≤ 1

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