Nash Sutcliffe Efficiency Range
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Traditionally the nashsutcliffe efficiency nse nash and sutcliffe 1970 is an often used metric in part because it normalizes model performance into an interpretable scale eq.
Nash sutcliffe efficiency range. It is calculated as. Essentially the closer to 1 the more accurate the model is. The efficiency e proposed by nash and sutcliffe 1970 is defined as one minus the sum of the absolute squared differences between the predicted and observed values normalized by the variance of the observed values during the period un der investigation. Nse 1 corresponds to a perfect match of modelled to the observed data.
An efciency of lower than zero indicates that the mean value of the observed time series would have been a better predictor than the model. An efficiency of 10 corresponds to a perfect match between model and observed data whereas an efficiency less than 00 occurs when the observed mean is a better predictor than the model. The largest disadvantage of the nash sutcliffe efciency. 2009 who applied a hydrological model with semi distributed inputs but lumped parameters to 269 austrian catchments ranging in size from 10 to 130000 km 2.
For the application of nse in regression procedures ie. When the total sum of squares can be partitioned into error and regression components the nashsutcliffe efficiency is equivalent to the coefficient of determination r2 thus ranging between 0 and 1. However contrary to this preconceived idea we noticed that the median nashsutcliffe efficiency tends to increase with catchment size for the tested models on our catchment set not shown here. 1 nse 1 t 1 t t q sim t q obs t 2 t 1 t t q obs t q obs 2.
A discharge time series. Ization the nashsutcliffe efciency nse dened by nash and sutcliffe 1970 are the two criteria most widely used for calibra tion and evaluation of hydrological models with observed data. Nash sutcliffe efficiencies can range from infinity to 10. Nash sutcliffe coefficient measures the efficiency of the model by relating the goodness of fit of the model to the variance of the measured data nash sutcliffe efficiencies can range from.
In hydrology the nashsutcliffe efficiency nse coefficient is used to determine model efficiency. Similar to the coefficient of determination better known as r2 where as a rule of thumb everything above a value of around 07 is considered to be a decent fit or better which value of the nse is considered acceptable when you model eg. The value of mse depends on the units of the predicted variable and varies on the interval 00 to inf whereas nse is dimension. This can be related to the results presented by merz et al.
The range of e lies between 10 perfect t and.
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