Erratum for “Genetic Programming to Predict Bridge Pier Scour” by H. Md. Azamathulla, Aminuddin Ab Ghani, Nor Azazi Zakaria, and Aytac Guven
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VIEW THE CORRECTED ARTICLEPublication: Journal of Hydraulic Engineering
Volume 139, Issue 9
The following corrections should be noted for the original paper, and the authors apologize for the typographical errors and other mistakes in the extraction of genetic programming (GP) equations from the trained model.
The authors have been informed by the readers of the Journal that Eqs. (4) and (5) in the original paper predicted very high values of the scour depth. Using the same database for training and testing as before, the authors have developed new equations based on GP formulation.
The equations on p. 167 should be as follows:where
(4)
(5a)
(5b)
(5c)
(10)
These equations will replace those in the original paper. In fact, the GP was described in the original paper such that it would be introduced as an extension of the familiar genetic algorithm in the simplest terms, although the code used might have applied GP in a different manner.
With these new Eqs. (4) and (5), the details in Table 4 of the original paper will be modified as shown.
Method | Coefficient of determination () | Root-mean square error (RMSE) | Average error (AE %) | Average absolute deviation () |
---|---|---|---|---|
Predictions to observed for testing set | ||||
GP | 0.845 | 0.037 | 23.345 | |
RBF | 0.691 | 0.105 | 43.513 | |
Eq. 10 (authors) | 0.745 | 0.345 | 29.567 | |
Eq. 11 (HEC-18) | 0.425 | 0.271 | 113.497 | |
Predictions to observed for testing set | ||||
GP | 0.789 | 0.076 | 8.567 | 17.453 |
RBF | 0.467 | 0.167 | 14.781 | 27.987 |
Eq. 10 (authors) | 0.534 | 0.105 | 12.56 | 23.786 |
Eq. 11 (HEC-18) | 0.119 | 0.380 | 81.874 |
Note: RBF = radial basis function; HEC-18 = pier scour equation recommended by the Federal Highway Administration’s Hydraulic Engineering Circular.
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© 2013 American Society of Civil Engineers.
History
Received: Jul 26, 2012
Accepted: Sep 27, 2012
Published online: Aug 15, 2013
Published in print: Sep 1, 2013
Discussion open until: Jan 15, 2014
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