scores.runoff {amber} R Documentation

## Scores for runoff

### Description

This function compares modelled runoff and measured streamflow on an annual basis for 50 river basins. Modelled runoff is converted to streamflow by spatially integrating annual runoff across each river basins. The performance of a model is expressed through scores that range from zero to one, where increasing values imply better performance. These scores are computed in five steps: (i) computation of a statistical metric, (ii) nondimensionalization, (iii) conversion to unit interval, (iv) spatial integration, and (v) averaging scores computed from different statistical metrics. The latter includes the bias, root-mean-square error, inter-annual variability, and spatial distribution. The corresponding equations are documented in amber-package. Contrary to the function scores.grid.time, no phase score is computed since data is evaluated on an annual basis. Assessing annual rather than monthly values causes the standard deviation sigma_{ref}(λ, φ) to be very small. For this reason, the relative errors for runoff are computed with repect to the mean rather than the standard deviation:

(ii) \ \varepsilon_{bias}=|bias(λ, φ)|/\overline{v_{ref}}(λ, φ) (ii) \ \varepsilon_{rmse}(λ, φ)=crmse(λ, φ)/\overline{v_{ref}}(λ, φ).

### Usage

scores.runoff(long.name, nc.mod, nc.ref, nc.basins, mod.id, ref.id,
unit.conv.mod, unit.conv.ref, variable.unit, score.weights = c(1, 2, 1,
1, 1),
shp.filename = system.file("extdata/ne_110m_land/ne_110m_land.shp",
package = "amber"), my.xlim = c(-180, 180), my.ylim = c(-60, 85),
plot.width = 8, plot.height = 3.8, outputDir = FALSE,
subcaption = "")


### Arguments

 long.name A string that gives the full name of the variable, e.g. 'Gross primary productivity' nc.mod A string that gives the path and name of the netcdf file that contains the model output, e.g. '/home/model_gpp.nc' nc.ref A string that gives the path and name of the netcdf file that contains the reference data output, e.g. '/home/reference_gpp.nc' nc.basins A string that gives the path and name of the netcdf file that contains the river basins, e.g. '/home/basins.nc' mod.id A string that identifies the source of the reference data set, e.g. 'CanESM2' ref.id A string that identifies the source of the reference data set, e.g. 'MODIS' unit.conv.mod A number that is used as a factor to convert the unit of the model data, e.g. 86400 unit.conv.ref A number that is used as a factor to convert the unit of the reference data, e.g. 86400 variable.unit A string that gives the final units using LaTeX notation, e.g. 'gC m$^-2$ day$^-1$' score.weights R object that gives the weights of each score (S_{bias}, S_{rmse}, S_{phase}, S_{iav}, S_{dist}) that are used for computing the overall score, e.g. c(1,2,1,1,1) shp.filename A string that gives the coastline shapefile my.xlim An R object that gives the longitude range that you wish to plot, e.g. c(-180, 180) my.ylim An R object that gives the longitude range that you wish to plot, e.g. c(-90, 90) plot.width Number that gives the plot width, e.g. 8 plot.height Number that gives the plot height, e.g. 4 outputDir A string that gives the output directory, e.g. '/home/project/study'. The output will only be written if the user specifies an output directory subcaption A string that defines the subcaption of the figure, e.g. '(a)'.

### Value

(1) Figures in PDF format that show global maps of the model data (mean, mod.mean; interannual-variability, mod.iav), the reference data (mean, ref.mean; interannual-variability, ref.iav), statistical metrics (bias, bias; centralized root mean square error, crmse), and scores (bias score, bias.score; root mean square error score, rmse.score; inter-annual variability score iav.score).

(2) Three text files: (i) score values and (ii) score inputs averaged across the entire grid, and (iii) score values for each individual river basin.

### Examples



library(amber)
library(classInt)
library(doParallel)
library(foreach)
library(Hmisc)
library(latex2exp)
library(ncdf4)
library(parallel)
library(raster)
library(rgdal)
library(rgeos)
library(scico)
library(sp)
library(stats)
library(utils)
library(viridis)
library(xtable)

long.name <- 'Streamflow'
nc.mod <- system.file('extdata/modelRegular', 'mrro_monthly.nc', package = 'amber')
nc.ref <- system.file('extdata/referenceRegular', 'runoff.nc', package = 'amber')
nc.basins <- system.file('extdata/referenceRegular', 'basins.nc', package = 'amber')
mod.id <- 'CLASSIC' # model name
ref.id <- 'GRDC' # give reference dataset a name
unit.conv.mod <- 86400 # optional unit conversion for model data
unit.conv.ref <- 86400 # optional unit conversion for reference data
variable.unit <- 'kg m$^{-2}$ day$^{-1}$' # unit after conversion (LaTeX notation)
score.weights <- c(1,2,1,1,1) # define score weights

scores.runoff(long.name, nc.mod, nc.ref, nc.basins, mod.id, ref.id, unit.conv.mod,
unit.conv.ref, variable.unit, score.weights)
#donttest


[Package amber version 1.0.3 Index]