Comparison of GDM and LM Algorithms in ANN Modeling for the Estimation of Ground Water Level Fluctuations

The study evaluates forecasting of groundwater level for short period of data by utilizing the standard artificial neural network (ANN) model, trained with two back propagation (BP) training algorithms namely Levenberg-Marquardt (LM) and Gradient Descent with Momentum (GDM). Data of five wells, Annual rainfall, Temperature, Relative humidity and river stage are chosen as input parameters.The model efficiency and accuracy were measured based on the root mean square error (RMSE) and regression coefficient (R).R-values approach towards the unity for most of the wells in LM method. LM method is recommended for forecasting ground water level for short duration of data and also it is anticipated that this method will give fairly accurate result for long duration of data under consideration. In case of constraint on data availability mentioned above, the LM Method is found to be suitable for ground water forecasting even when we take river water level as one of the inputs in ANN model. Keywords— ANN, LM, GDM, RMSE, R-value

[1]  S. S. Panda,et al.  Prediction of water table depth in western region, Orissa using BPNN and RBFN neural networks , 2010 .

[2]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[3]  R. W. Skaggs,et al.  A SIMPLIFIED MODEL FOR PREDICTING DRAINAGE RATES FOR CHANGING BOUNDARY CONDITIONS , 1991 .

[4]  P. Guan,et al.  Forecasting model for the incidence of hepatitis A based on artificial neural network. , 2004, World journal of gastroenterology.

[5]  Kunio Watanabe,et al.  Application of an artificial neural network to estimate groundwater level fluctuation , 2008 .

[6]  Holger R. Maier,et al.  Neural networks for the prediction and forecasting of water resource variables: a review of modelling issues and applications , 2000, Environ. Model. Softw..

[7]  Srinivasa Lingireddy,et al.  A neural-network-based classification scheme for sorting sources and ages of fecal contamination in water. , 2002, Water research.

[8]  A. Upadhyaya,et al.  Analytical and numerical solutions to describe water table fluctuations due to canal seepage and time-varying recharge , 2001, Journal of Hydroinformatics.

[9]  Guoqiang Peter Zhang,et al.  Time series forecasting using a hybrid ARIMA and neural network model , 2003, Neurocomputing.

[10]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[11]  B. Bobée,et al.  Artificial neural network modeling of water table depth fluctuations , 2001 .

[12]  Paul A. Fishwick,et al.  Feedforward Neural Nets as Models for Time Series Forecasting , 1993, INFORMS J. Comput..

[13]  S. Prasher,et al.  ARTIFICIAL NEURAL NETWORKS FOR SUBSURFACE DRAINAGE AND SUBIRRIGATION SYSTEMS IN ONTARIO, CANADA 1 , 2000 .

[14]  Witold F. Krajewski,et al.  Rainfall forecasting in space and time using a neural network , 1992 .

[15]  Indrajeet Chaubey,et al.  Uncertainty in TMDL Models , 2006 .

[16]  S. Yakowitz Model‐free statistical methods for water table prediction , 1976 .

[17]  Chun-Chieh Yang,et al.  Artificial Neural Network Model for Subsurface-Drained Farmlands , 1997 .

[18]  Shakeel Ahmed,et al.  Forecasting groundwater level using artificial neural networks. , 2009 .

[19]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[20]  PengGuan,et al.  Forecasting model for the incidence of hepatitis A based on artificial neural network , 2004 .

[21]  P. C. Nayak,et al.  Groundwater Level Forecasting in a Shallow Aquifer Using Artificial Neural Network Approach , 2006 .

[22]  James H. Garrett,et al.  Artificial Neural Networks for Civil Engineers: Fundamentals and Applications , 1997 .

[23]  William Remus,et al.  Neural Network Models for Time Series Forecasts , 1996 .

[24]  Paulin Coulibaly,et al.  Groundwater level forecasting using artificial neural networks , 2005 .

[25]  Vijay Singh,et al.  Forecasting of groundwater level in hard rock region using artificial neural network , 2009 .

[26]  Ian Flood,et al.  Neural Networks in Civil Engineering. I: Principles and Understanding , 1994 .