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Nash Sutcliffe model Efficiency coefficient

The Nash-Sutcliffe efficiency (NSE) is a widely used metric in hydrological modeling to assess the performance of a model relative to observed data. Developed by Nash and Sutcliffe in 1970, NSE is a normalized statistic that compares the residual variance of the model to the variance of the measured data.

NSE values range from negative infinity to 1. A perfect model fit to the observed data yields an NSE of 1, indicating a complete match between simulated and observed values. An NSE of 0 suggests that the model predictions are as accurate as simply using the mean of the observed data, while negative values indicate that the mean of the observed data provides better predictions than the model.

In essence, NSE serves as a measure of how well the simulated data aligns with the observed data, with higher values indicating better model performance and a closer fit to the 1:1 line on a plot of observed versus simulated data.


Nash Sutcliffe model Efficiency coefficient

where OBSi represents the observation value, SIMi represents the forecast value, and OBS denotes the average of observation values.

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Please provide the data in a two-column format (observed vs. simulated). You can copy from Excel, text, or any other format, separated by space.

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