Nash Sutcliffe Efficiency Equation
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Nse 1 corresponds to a perfect match of the model to the observed data.
Nash sutcliffe efficiency equation. This research focuses on the interpretation of sample values of. The nashsutcliffe efficiency index e f is a widely used and potentially reliable statistic for assessing the goodness of fit of hydrologic models. 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 coefficient of determination r 2 is a measure of the goodness of fit of a statistical model.
The question for e is shown below. However a method for estimating the statistical significance of sample values has not been documented. Y observed values for model evaluation f modelledpredicted values. The used file in this video is downloadable on.
R 2 1 y i y i 2 y i y 2. Nash sutcliffe efficiency indicates how well the plot of observed versus simulated data fits the 11 line. N s e 1 t 1 t q m t q o t 2 t 1 t q o t q o 2. The primary difference is how it is used.
The nash sutcliffe model efficiency coefficient is nearly identical to the coefficient of determination. It is defined as. Formula for nash sutcliffe efficiency. Formula for coefficient of determination or r2.
The nashsutcliffe model efficiency coefficient nse is used to assess the predictive skill of hydrological models. Nse 1 sum obs sim2 sum obs mean obs2 the nash sutcliffe efficiency nse is a normalized statistic that determines the relative magnitude of the residual variance noise compared to the measured data variance information nash and sutcliffe 1970. The nash sutcliffe efficiency nse is a normalized statistic that determines the relative magnitude of the residual variance compared to the measured data variance nash and sutcliffe 1970.
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