Azamathulla, H. Md. and Ghani, A. A. (2010). “Genetic programming to predict river pipeline scour.” Journal of Pipeline Systems Engineering and Practice, ASCE, Vol. 1, No. 3, pp. 127-132.10.1061/(ASCE)PS.1949-1204.0000060Azamathulla, H. Md. and Ghani, A. A. (2010). “Genetic programming to predict river pipeline scour.” Journal of Pipeline Systems Engineering and Practice, ASCE, Vol. 1, No. 3, pp. 127-132.

Azamathulla, H. Md., Ghani, A. A. and Guven, A. (2010). “Genetic programming to predict bridge pier scour.” Journal of Hydraulic Engineering, ASCE, Vol. 136, No. 3, pp. 165-169.10.1061/(ASCE)HY.1943-7900.0000133Azamathulla, H. Md., Ghani, A. A. and Guven, A. (2010). “Genetic programming to predict bridge pier scour.” Journal of Hydraulic Engineering, ASCE, Vol. 136, No. 3, pp. 165-169.

Cater, J. E. and Williams, J. J. R. (2008). “Large eddy simulation of a long asymmetric compound channel.” Journal of Hydraulic Research, IAHR, Vol. 46, No. 4, pp. 445-453.10.3826/jhr.2008.3134Cater, J. E. and Williams, J. J. R. (2008). “Large eddy simulation of a long asymmetric compound channel.” Journal of Hydraulic Research, IAHR, Vol. 46, No. 4, pp. 445-453.

Chabert, J. and Engeldinger, P. (1956). Etude des affouillements autour des piles des ponts, Laboratoire Nationale d’Hydraoulique, Chatou, France. Chabert, J. and Engeldinger, P. (1956). Etude des affouillements autour des piles des ponts, Laboratoire Nationale d’Hydraoulique, Chatou, France.

Choi, S.-U. and Cheong, S. (2006). “Prediction of local scour around bridge piers using artificial neural networks.” Journal of the American Water Resources Association, Vol. 42, No. 2, pp. 487-494.10.1111/j.1752-1688.2006.tb03852.xChoi, S.-U. and Cheong, S. (2006). “Prediction of local scour around bridge piers using artificial neural networks.” Journal of the American Water Resources Association, Vol. 42, No. 2, pp. 487-494.

Cui, J. and Neary, V. S. (2008). “LES study of turbulent flows with submerged vegetation.” Journal of Hydraulic Research, IAHR, Vol. 46, No. 3, pp. 307-316.10.3826/jhr.2008.3129Cui, J. and Neary, V. S. (2008). “LES study of turbulent flows with submerged vegetation.” Journal of Hydraulic Research, IAHR, Vol. 46, No. 3, pp. 307-316.

Dey, S., Bose, S. K. and Sastry, G. L. N. (1995). “Clear water scour at circular piers: A Model.” Journal of Hydraulic Research, IAHR, Vol. 15, No. 4, pp. 869-876.Dey, S., Bose, S. K. and Sastry, G. L. N. (1995). “Clear water scour at circular piers: A Model.” Journal of Hydraulic Research, IAHR, Vol. 15, No. 4, pp. 869-876.

Ferreira, C. (2001). “Gene expression programming: A New Adaptive Algorithm for Solving Problems.” Complex Systems, Vol. 13, No. 2, pp. 87-129.Ferreira, C. (2001). “Gene expression programming: A New Adaptive Algorithm for Solving Problems.” Complex Systems, Vol. 13, No. 2, pp. 87-129.

Gao, D., Posada, G. L. and Nordin, C. F. (1993). Pier scour equations used in the people’s republic of China – Review and Summary, U.S. Department of Transportation, Federal Highway Administration, Publication FHWA-SA-93-076.Gao, D., Posada, G. L. and Nordin, C. F. (1993). Pier scour equations used in the people’s republic of China – Review and Summary, U.S. Department of Transportation, Federal Highway Administration, Publication FHWA-SA-93-076.

Grega, L. M., Wei, T., Leighton, R. I. and Neves, J. C. (1995). “Turbulent mixed-boundary flow in a corner formed by a solid wall and a free surface.” Journal of Fluid Mechanics, Vol. 294, pp. 17-46.10.1017/S0022112095002795Grega, L. M., Wei, T., Leighton, R. I. and Neves, J. C. (1995). “Turbulent mixed-boundary flow in a corner formed by a solid wall and a free surface.” Journal of Fluid Mechanics, Vol. 294, pp. 17-46.

Guven, A. and Gunal, M. (2008). “Genetic programming approach for prediction of local scour downstream of hydraulic structures.” Journal of Irrigation and Drainage Engineering, Vol. 134, No. 2, pp. 241-249.10.1061/(ASCE)0733-9437(2008)134:2(241)Guven, A. and Gunal, M. (2008). “Genetic programming approach for prediction of local scour downstream of hydraulic structures.” Journal of Irrigation and Drainage Engineering, Vol. 134, No. 2, pp. 241-249.

Harlow, F. H. and Welch, J. E. (1965). “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface.” Physics of Fluids, Vol. 8, p. 2182.10.1063/1.1761178Harlow, F. H. and Welch, J. E. (1965). “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface.” Physics of Fluids, Vol. 8, p. 2182.

Holland, J. H. (1975). “Adaptation in natural and artificial systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence.” Oxford, England: University of Michigan Press.Holland, J. H. (1975). “Adaptation in natural and artificial systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence.” Oxford, England: University of Michigan Press.

Hsu, T. Y., Grega, L. M., Leighton, R. I. and Wei, T. (2000). “Turbulent kinetic energy transport in a corner formed by a solid wall and a free surface.” Journal of Fluid Mechanics, Vol. 410, pp. 343-366.10.1017/S0022112099008125Hsu, T. Y., Grega, L. M., Leighton, R. I. and Wei, T. (2000). “Turbulent kinetic energy transport in a corner formed by a solid wall and a free surface.” Journal of Fluid Mechanics, Vol. 410, pp. 343-366.

Issa, R. I., Gosman, A. D. and Watkins, A. P. (1986). “The computation of compressible and incompressible recirculating flows.” Journal of Computational Physics, Vol. 62, No. 1, pp. 62-82.10.1016/0021-9991(86)90100-2Issa, R. I., Gosman, A. D. and Watkins, A. P. (1986). “The computation of compressible and incompressible recirculating flows.” Journal of Computational Physics, Vol. 62, No. 1, pp. 62-82.

Jee, Y. G., Kim, S. J. and Kim, P. S. (2005). “Forecasting monthly inflow for the storage management of small dams.” 2005’ Conference of Korea Water Resources Association, pp. 85-89 (in Korean).Jee, Y. G., Kim, S. J. and Kim, P. S. (2005). “Forecasting monthly inflow for the storage management of small dams.” 2005’ Conference of Korea Water Resources Association, pp. 85-89 (in Korean).

Kim, K., Kim, S., Kim, T. and Heo, J.-H. (2007). “Theoretical derivation of IDF curve using probability distribution function of rainfall data.” 2007’ Conference of Korea Water Resources Association, pp. 1503-1506 (in Korean).Kim, K., Kim, S., Kim, T. and Heo, J.-H. (2007). “Theoretical derivation of IDF curve using probability distribution function of rainfall data.” 2007’ Conference of Korea Water Resources Association, pp. 1503-1506 (in Korean).

Kim, S. J., Jee, Y. G. and Kim, P. S. (2004). “Parameter optimization of long and short term runoff models using genetic algorithm.” 2004’ Conference of Korea Water Resources Association, pp. 1117-1121 (in Korean).Kim, S. J., Jee, Y. G. and Kim, P. S. (2004). “Parameter optimization of long and short term runoff models using genetic algorithm.” 2004’ Conference of Korea Water Resources Association, pp. 1117-1121 (in Korean).

Kim, S., Heo, J.-H. and Choi, M. (2011). “Derivation of plotting position formulas considering the coefficients of skewness for the GEV distribution” Journal of Water Resources Association, KWRA, Vol. 44, No. 2, pp. 85-96 (in Korean).10.3741/JKWRA.2011.44.2.085Kim, S., Heo, J.-H. and Choi, M. (2011). “Derivation of plotting position formulas considering the coefficients of skewness for the GEV distribution” Journal of Water Resources Association, KWRA, Vol. 44, No. 2, pp. 85-96 (in Korean).

Kim, S., Heo, J.-H., Shin, H. and Kho, Y. W. (2009). “Comparison of plotting position formulas for gumbel distribution” Journal of Water Resources Association, KWRA, Vol. 42, No. 5, pp. 365-374 (in Korean).10.3741/JKWRA.2009.42.5.365Kim, S., Heo, J.-H., Shin, H. and Kho, Y. W. (2009). “Comparison of plotting position formulas for gumbel distribution” Journal of Water Resources Association, KWRA, Vol. 42, No. 5, pp. 365-374 (in Korean).

Lee, K. S., Kim, S. U. and Hong, I. P. (2005). “Automatic calibration of rainfall-runoff model using multi-objective function” Journal of The Korean Water Resources Association, Vol. 38, No. 10, pp. 861-869 (in Korean).10.3741/JKWRA.2005.38.10.861Lee, K. S., Kim, S. U. and Hong, I. P. (2005). “Automatic calibration of rainfall-runoff model using multi-objective function” Journal of The Korean Water Resources Association, Vol. 38, No. 10, pp. 861-869 (in Korean).

Melville, B. W. and Chiew, Y. M. (1999). “Time scale for local scour at bridge piers.” Journal of Hydraulic Engineering, ASCE, Vol. 125, pp. 59-65.10.1061/(ASCE)0733-9429(1999)125:1(59)Melville, B. W. and Chiew, Y. M. (1999). “Time scale for local scour at bridge piers.” Journal of Hydraulic Engineering, ASCE, Vol. 125, pp. 59-65.

Melville, B. W. and Coleman, S. E. (2000). Bridge scour, Water Resources Publications, Highlands Ranch, Colorado.Melville, B. W. and Coleman, S. E. (2000). Bridge scour, Water Resources Publications, Highlands Ranch, Colorado.

Ministry of Security and Public Administration. (1995-2003). Disaster annual report (in Korean).Ministry of Security and Public Administration. (1995-2003). Disaster annual report (in Korean).

Mueller, D. S. and Wagner, C. R. (2005). Field observations and evaluations of streambed scour at bridges, Office of Engineering Research and Development, Federal Highway Administration, McLean, Virginia.Mueller, D. S. and Wagner, C. R. (2005). Field observations and evaluations of streambed scour at bridges, Office of Engineering Research and Development, Federal Highway Administration, McLean, Virginia.

Muzzammil, M. (2010). “ANFIS approach to the scour depth prediction at a bridge abutment.” Journal of Hydroinformatics, Vol. 12, No. 4, pp. 474-485.10.2166/hydro.2010.004Muzzammil, M. (2010). “ANFIS approach to the scour depth prediction at a bridge abutment.” Journal of Hydroinformatics, Vol. 12, No. 4, pp. 474-485.

Pagan-Ortiz, J. E. (2002). “Impact of the federal highway administration’s scour evaluation program in the united states of north america’s highway bridges.” Proceedings of the First International Conference on Scour of Foundations, ICSF-1, Texas A&M University, College Station, Texas, U.S.A., Vol. 2. pp. 636-641.Pagan-Ortiz, J. E. (2002). “Impact of the federal highway administration’s scour evaluation program in the united states of north america’s highway bridges.” Proceedings of the First International Conference on Scour of Foundations, ICSF-1, Texas A&M University, College Station, Texas, U.S.A., Vol. 2. pp. 636-641.

Richardson, E. V. and Davis, S. R. (1995). Evaluating scour at bridges, Report No. FHWA-IP-90-017, Hydraulic Engineering Circular No. 18 (HEC-18) (Third Edition), Office of Technology Applications, HTA-22, Federal Highway Administration, U.S. Department of Transportation, Washington, D.C.Richardson, E. V. and Davis, S. R. (1995). Evaluating scour at bridges, Report No. FHWA-IP-90-017, Hydraulic Engineering Circular No. 18 (HEC-18) (Third Edition), Office of Technology Applications, HTA-22, Federal Highway Administration, U.S. Department of Transportation, Washington, D.C.

Sheppard, D. M., Melville, B. and Demir, H. (2014). “Evaluation of existing equations for local scour at bridge piers.” Journal of Hydraulic Engineering, ASCE, Vol. 140, No. 1, pp. 14-23.10.1061/(ASCE)HY.1943-7900.0000800Sheppard, D. M., Melville, B. and Demir, H. (2014). “Evaluation of existing equations for local scour at bridge piers.” Journal of Hydraulic Engineering, ASCE, Vol. 140, No. 1, pp. 14-23.

Shin, J., Kim, S., Kim, T. and Heo, J.-H. (2007). “Parameter estimation of intensity-duration-frequency curve using genetic algorithm.” 2007’ Conference of Korea Water Resources Association, pp. 142-146 (in Korean).Shin, J., Kim, S., Kim, T. and Heo, J.-H. (2007). “Parameter estimation of intensity-duration-frequency curve using genetic algorithm.” 2007’ Conference of Korea Water Resources Association, pp. 142-146 (in Korean).

Shppard, D. M. and Melville, B. (2011). Scour at wide piers and long skewed piers, NCHRP Report 682, Transportation Research Board of the National Academies. Washington, D.C.Shppard, D. M. and Melville, B. (2011). Scour at wide piers and long skewed piers, NCHRP Report 682, Transportation Research Board of the National Academies. Washington, D.C.

Yang, W. and Choi, S.-U. (2002). “Three-Dimensional numerical simulation of local scour around the bridge pier using large eddy simulation.” Journal of The Korean Society of Civil Engineers, Vol. 22, No.6-B, pp. 785-793 (in Korean).Yang, W. and Choi, S.-U. (2002). “Three-Dimensional numerical simulation of local scour around the bridge pier using large eddy simulation.” Journal of The Korean Society of Civil Engineers, Vol. 22, No.6-B, pp. 785-793 (in Korean).

Yanmaz, A. M. and Altinbilek, H. D. (1991). “Study of time-dependent local scour around bridge piers.” Journal of Hydraulic Engineering, ASCE, Vol. 117, No. 10, pp. 1247-1268.10.1061/(ASCE)0733-9429(1991)117:10(1247)Yanmaz, A. M. and Altinbilek, H. D. (1991). “Study of time-dependent local scour around bridge piers.” Journal of Hydraulic Engineering, ASCE, Vol. 117, No. 10, pp. 1247-1268.