Comparison of group method of data handling based genetic programming and back propagation systems to predict scour depth around bridge piers

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  author =       "M. Najafzadeh and Gh.-A. Barani",
  title =        "Comparison of group method of data handling based
                 genetic programming and back propagation systems to
                 predict scour depth around bridge piers",
  journal =      "Scientia Iranica",
  year =         "2011",
  volume =       "18",
  number =       "6",
  pages =        "1207--1213",
  month =        dec,
  ISSN =         "1026-3098",
  DOI =          "doi:10.1016/j.scient.2011.11.017",
  URL =          "",
  keywords =     "genetic algorithms, genetic programming, Scour depth,
                 GMDH network, Back propagation, Traditional equations",
  abstract =     "This study introduces a new application of GMDH in the
                 prediction of scour depth around a vertical pier. Two
                 models of the GMDH network were developed using genetic
                 programming and a back propagation algorithm. Genetic
                 programming was performed in each neuron of the GMDH
                 instead of performing the quadratic polynomial. In the
                 second model of the GMDH, the quadratic polynomial was
                 used in each neuron of the network as a transfer
                 function, and a back propagation algorithm was used for
                 training of the network. Six effective parameters
                 including pier diameter, flow velocity, flow depth,
                 medium diameter of bed material, standard deviation of
                 bed grain size and fluid dynamic viscosity were
                 considered for prediction of the scour depth. Results
                 of two GMDH networks were compared with results of
                 several traditional equations. From result
                 performances, it was found that although GMDH-GP is
                 very time-consuming and more complicated, this proposed
                 method has provided a better prediction of scour depth
                 than GMDH-BP in training and testing stages. A
                 sensitivity analysis was performed for the GMDH-GP
                 model and the results indicated that the ratio of pier
                 diameter to flow depth is the most significant
                 parameter regarding scour depth. In particular, the
                 GMDH network proved very effective in comparison with
                 traditional equations.",
  notes =        "Sharif University of Technology

                 Mohammad Najafzadeh received his B.S. degree in Civil
                 Engineering from Shahid Chamran University of Ahwaz, in
                 2006. He was accepted to study for an M.Eng. degree in
                 Hydraulic Structures at Shahid Bahonar University of
                 Kerman, where, in 2009, he became a Ph.D. candidate.
                 His research interests include: scouring in cohesive
                 soils, computational fluid dynamics, and artificial
                 intelligence approaches. He has published and presented
                 many papers in various journals and at national and
                 international conferences.

                 Gholam Abbas Barani received his B.S. degree in Civil
                 Engineering from Tehran University in 1973. In 1977, he
                 received his M.Eng. degree from the University of
                 California, Davis, where he continued his research work
                 towards a Ph.D. degree. His research interests include:
                 sediment scour in hydraulic structures, water resource
                 engineering, optimization of reservoir operation, and
                 hydrology. He has published more than 250 papers in
                 various journals and presented many others at national
                 and international conferences.",

Genetic Programming entries for Mohammad Najafzadeh Gholam Abbas Barani