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This program code was written in JAVA to facilitate the comparison between simulated and measured data using different efficiency criteria for model evaluation. Program calculates following statistics:-

  1. Mean and standard deviation of measured data
  2. Mean and standard deviation of simulated data
  3. Change in Standard deviation (Delta S)
  4. Root mean squared error (RMSE)
  5. % RMSE
  6. Mean absolute error (absME)
  7. Bias
  8. Standard error of the estimates (Se)
  9. Relative bias (Rb)
  10. Relative standard error (Rs)
  11. Test (two sided test at a 5% significance level)
  12. Correlation ®
  13. Nash-Sutcliffe efficiency (NE2)
  14. Nash-Sutcliffe efficiency-first degree (NE1)
  15. Nash-Sutcliffe efficiency-relative (NErel)
  16. Index of agreement (Willmort, 1981) (index-d2)
  17. Index of agreement-first degree (index-d1)
  18. Index of agreement-relative (index-drel)

For detailed explanation of each statistics and their strengths and weaknesses readers are referred to following documents:-

Kraus et al.-2005. Comparison of different efficiency criteria for hydrologic model assessment. Advances in geosciences- 5: 89-97

Debele et al.-2007. Accuracy evaluation of weather data generation and disaggregation methods at final timescale. Advances in Water Resources 30-1286-1300

Sample input data:-simulated results using three different models

Date, sim1,sim2,sim3

7/21/2005 11:0,23.37,26.73,27.55

7/21/2005 12:0,24.46,27.4,27.95

7/21/2005 13:0,25.5,27.81,27.88

7/21/2005 14:0,26.42,27.95,27.66

7/21/2005 15:0,27.16,27.8,27.32

7/21/2005 16:0,27.67,27.39,26.84

7/21/2005 17:0,27.92,26.72,26.27

7/21/2005 18:0,27.88,25.85,25.6

Sample input data:-Measured

Date, measured

7/21/2005 11:00,23.50

7/21/2005 12:00,23.68

7/21/2005 13:00,25.00

7/21/2005 14:00,26.20

7/21/2005 15:00,27.95

7/21/2005 16:00,27.08

7/21/2005 17:00,26.20

7/21/2005 18:00,24.30

7/21/2005 19:00,23.00

Sample output data:

Mean and Stdev of Observed Data:21.768,3.299

Stats from simulated data:-

Mean,Stdev,Delta S,RMSE,RMSE_%,AbsME,Bias,Se,Rb,Rs,Test,R,NE2,NE1,NErel,index_d2,index_d1,index_drel

21.334,3.233,-0.02,2.124,9.755,1.56,-0.434,2.124,-0.02,0.644,0.461,0.798,0.586,0.411,0.643,0.887,0.704,0.903

 

VALIDation STATistics (VALIDSTATS)

Version 1.0