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Calculate statistical indexes (Number of pairs, observation average, model average, correlation, Index Of Agreement, Factor of 2, Root Mean Square Error, Mean Bias, Mean error, Normalized Mean Bias, and Normalized Mean Bias) for model evaluation

Usage

stat(
  model,
  observation,
  wd = FALSE,
  cutoff = NA,
  cutoff_NME = NA,
  nobs = 8,
  rname,
  verbose = TRUE
)

Arguments

model

numeric vector with paired model data

observation

numeric vector with paired observation data

wd

logical, set true to apply a rotation on wind direction, see notes

cutoff

(optionally the maximum) valid value for observation

cutoff_NME

(optionally the maximum) valid value for observation for NME, MFB and MFE

nobs

minimum number of observations

rname

row name

verbose

display additional information

Value

data.frame with calculated Number of pairs, observation average, model average, correlation, Index Of Agreement, Factor of 2, Root Mean Square Error, Mean Bias, Mean error, Normalized Mean Bias, and Normalized Mean Bias

Note

the option wd = TRUE applies a rotation of 360 on model wind direction to minimize the angular difference.

References

Emery, C. and Tai., E. 2001. Enhanced Meteorological Modeling and Performance Evaluation for Two Texas Ozone Episodes.

Monk, K. et al. 2019. Evaluation of Regional Air Quality Models over Sydney and Australia: Part 1—Meteorological Model Comparison. Atmosphere 10(7), p. 374. doi: 10.3390/atmos10070374.

Ramboll. 2018. PacWest Newport Meteorological Performance Evaluation.

Zhang, Y. et al. 2019. Multiscale Applications of Two Online-Coupled Meteorology-Chemistry Models during Recent Field Campaigns in Australia, Part I: Model Description and WRF/Chem-ROMS Evaluation Using Surface and Satellite Data and Sensitivity to Spatial Grid Resolutions. Atmosphere 10(4), p. 189. doi: 10.3390/atmos10040189.

Emery, C., Liu, Z., Russell, A.G., Odman, M.T., Yarwood, G. and Kumar, N. 2017. Recommendations on statistics and benchmarks to assess photochemical model performance. Journal of the Air & Waste Management Association 67(5), pp. 582–598. doi: 10.1080/10962247.2016.1265027.

Zhai, H., Huang, L., Emery, C., Zhang, X., Wang, Y., Yarwood, G., ... & Li, L. (2024). Recommendations on benchmarks for photochemical air quality model applications in China—NO2, SO2, CO and PM10. Atmospheric Environment, 319, 120290.

Examples

model <- 1:100
data  <- model + rnorm(100,0.2)
stat(model = model, observation = data)
#>     n      Obs  Sim         r       IOA  FA2    RMSE         MB       ME
#> 1 100 50.79421 50.5 0.9992839 0.9996105 0.99 1.14183 -0.2942089 0.921157
#>      NMB (%)  NME (%)
#> 1 -0.5792175 1.813508