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Evaluating the use of “goodness‐of‐fit” measures in hydrologic and hydroclimatic model validation

January 1, 1999

Correlation and correlation‐based measures (e.g., the coefficient of determination) have been widely used to evaluate the “goodness‐of‐fit” of hydrologic and hydroclimatic models. These measures are oversensitive to extreme values (outliers) and are insensitive to additive and proportional differences between model predictions and observations. Because of these limitations, correlation‐based measures can indicate that a model is a good predictor, even when it is not. In this paper, useful alternative goodness‐of‐fit or relative error measures (including the coefficient of efficiency and the index of agreement) that overcome many of the limitations of correlation‐based measures are discussed. Modifications to these statistics to aid in interpretation are presented. It is concluded that correlation and correlation‐based measures should not be used to assess the goodness‐of‐fit of a hydrologic or hydroclimatic model and that additional evaluation measures (such as summary statistics and absolute error measures) should supplement model evaluation tools.

Publication Year 1999
Title Evaluating the use of “goodness‐of‐fit” measures in hydrologic and hydroclimatic model validation
DOI 10.1029/1998WR900018
Authors David R. Legates, Gregory J. McCabe
Publication Type Article
Publication Subtype Journal Article
Series Title Water Resources Research
Index ID 70021955
Record Source USGS Publications Warehouse