rNSE {hydroGOF} R Documentation

## Relative Nash-Sutcliffe efficiency

### Description

Relative Nash-Sutcliffe efficiency between `sim` and `obs`, with treatment of missing values.

### Usage

```rNSE(sim, obs, ...)

## Default S3 method:
rNSE(sim, obs, na.rm=TRUE, ...)

## S3 method for class 'data.frame'
rNSE(sim, obs, na.rm=TRUE, ...)

## S3 method for class 'matrix'
rNSE(sim, obs, na.rm=TRUE, ...)

## S3 method for class 'zoo'
rNSE(sim, obs, na.rm=TRUE, ...)
```

### Arguments

 `sim` numeric, zoo, matrix or data.frame with simulated values `obs` numeric, zoo, matrix or data.frame with observed values `na.rm` a logical value indicating whether 'NA' should be stripped before the computation proceeds. When an 'NA' value is found at the i-th position in `obs` OR `sim`, the i-th value of `obs` AND `sim` are removed before the computation. `...` further arguments passed to or from other methods.

### Details

rNSE = 1 - ( sum( ( (obs - sim)/ obs )^2 ) / sum( abs( (obs - mean(obs)) / mean(obs) )^2 )

### Value

Relative Nash-Sutcliffe efficiency between `sim` and `obs`.

If `sim` and `obs` are matrixes, the returned value is a vector, with the relative Nash-Sutcliffe efficiency between each column of `sim` and `obs`.

### Note

`obs` and `sim` has to have the same length/dimension

The missing values in `obs` and `sim` are removed before the computation proceeds, and only those positions with non-missing values in `obs` and `sim` are considered in the computation

If some of the observed values are equal to zero (at least one of them), this index can not be computed.

### Author(s)

Mauricio Zambrano Bigiarini <mzb.devel@gmail.com>

### References

Krause, P., Boyle, D. P., and Base, F.: Comparison of different efficiency criteria for hydrological model assessment, Adv. Geosci., 5, 89-97, 2005

Legates, D. R., and G. J. McCabe Jr. (1999), Evaluating the Use of "Goodness-of-Fit" Measures in Hydrologic and Hydroclimatic Model Validation, Water Resour. Res., 35(1), 233-241.

`NSE`, `mNSE`, `gof`, `ggof`

### Examples

```sim <- 1:10
obs <- 1:10
rNSE(sim, obs)

sim <- 2:11
obs <- 1:10
rNSE(sim, obs)

##################
# Loading daily streamflows of the Ega River (Spain), from 1961 to 1970
data(EgaEnEstellaQts)
obs <- EgaEnEstellaQts

# Generating a simulated daily time series, initially equal to the observed series
sim <- obs

# Computing the 'rNSE' for the "best" (unattainable) case
rNSE(sim=sim, obs=obs)

# Randomly changing the first 2000 elements of 'sim', by using a normal distribution
# with mean 10 and standard deviation equal to 1 (default of 'rnorm').
sim[1:2000] <- obs[1:2000] + rnorm(2000, mean=10)

# Computing the new 'rNSE'
rNSE(sim=sim, obs=obs)
```

[Package hydroGOF version 0.3-10 Index]