AN EVALUATION OF THE AVAILABLE TECHNIQUES FOR ESTIMATING MISSING FECAL COLIFORM DATA 1

: This paper presents the findings of a study aimed at evaluating the available techniques for estimating missing fecal coliform (FC) data on a temporal basis. The techniques investigated include: linear and nonlinear regression analysis and interpolation functions, and the use of artificial neural networks (ANNs). In all, seven interpolation, two regression, and one ANN model structures were investigated. This paper also investigates the validity of a hypothesis that estimating missing FC data by developing different models using different data corresponding to different dynamics associated with different trends in the FC data may result in a better model performance. The FC data (counts/100 ml) derived from the North Fork of the Kentucky River in Kentucky were employed to calibrate and validate various models. The performance of various models was evaluated using a wide variety of standard statistical measures. The results obtained in this study are able to demonstrate that the ANNs can be preferred over the conventional techniques in estimating missing FC data in a watershed. The regression technique was not found suitable in estimating missing FC data on a temporal basis. Further, it has been found that it is possible to achieve a better model performance by first decomposing the whole data set into different categories corresponding to different dynamics and then developing separate models for separate categories rather than developing a single model for the composite data set.

[1]  Robert J. Kuligowski,et al.  USING ARTIFICIAL NEURAL NETWORKS TO ESTIMATE MISSING RAINFALL DATA 1 , 1998 .

[2]  Robert M. Hirsch,et al.  Estimating constituent loads , 1989 .

[3]  Ashu Jain,et al.  Short‐term water demand forecast modeling techniques—CONVENTIONAL METHODS VERSUS AI , 2002 .

[4]  Robert A. Goldstein,et al.  DECISION SUPPORT SYSTEM FOR TOTAL MAXIMUM DAILY LOAD , 1999 .

[5]  Rao S. Govindaraju,et al.  Prediction of watershed runoff using Bayesian concepts and modular neural networks , 2000 .

[6]  José Manuel Benítez,et al.  Interpretation of artificial neural networks by means of fuzzy rules , 2002, IEEE Trans. Neural Networks.

[7]  A. Soldati,et al.  Forecasting river flow rate during low‐flow periods using neural networks , 1999 .

[8]  R. Abrahart,et al.  Detection of conceptual model rainfall—runoff processes inside an artificial neural network , 2003 .

[9]  K. P. Sudheer,et al.  Identification of physical processes inherent in artificial neural network rainfall runoff models , 2004 .

[10]  George B. Shih,et al.  Variance of load estimates derived by piecewise linear interpolation , 1998 .

[11]  Ashu Jain,et al.  Comparative Analysis of Event-Based Rainfall-Runoff Modeling Techniques—Deterministic, Statistical, and Artificial Neural Networks , 2003 .

[12]  Arthur T. DeGaetano,et al.  ESTIMATING MISSING DAILY TEMPERATURE EXTREMES USING AN OPTIMIZED REGRESSION APPROACH , 2001 .

[13]  Emily M. Zechman,et al.  Methodology for pH Total Maximum Daily Loads: Application to Beech Creek Watershed , 2004 .

[14]  C. Obled,et al.  Objective analyses and mapping techniques for rainfall fields: An objective comparison , 1982 .

[15]  Joachim Diederich,et al.  The truth will come to light: directions and challenges in extracting the knowledge embedded within trained artificial neural networks , 1998, IEEE Trans. Neural Networks.

[16]  Saad Bennis,et al.  Improving single-variable and multivariable techniques for estimating missing hydrological data , 1997 .

[17]  Ashu Jain,et al.  Identification of Unknown Groundwater Pollution Sources Using Artificial Neural Networks , 2004 .

[18]  R Govindaraju,et al.  ARTIFICIAL NEURAL NETWORKS IN HYDROLOGY: II, HYDROLOGIC APPLICATIONS , 2000 .

[19]  Fernando J. Pineda,et al.  Dynamics and architecture for neural computation , 1988, J. Complex..

[20]  Ignacio Requena,et al.  Are artificial neural networks black boxes? , 1997, IEEE Trans. Neural Networks.

[21]  Christopher R. Thewalt,et al.  Neural Network Approaches in Structural Mechanics Computations , 1989 .

[22]  Slobodan P. Simonovic,et al.  Group-based estimation of missing hydrological data: I. Approach and general methodology , 2000 .

[23]  Robert J. Marks,et al.  Electric load forecasting using an artificial neural network , 1991 .

[24]  Slobodan P. Simonovic,et al.  Group-based estimation of missing hydrological data: II. Application to streamflows , 2000 .

[25]  Ashu Jain,et al.  Short-Term Water Demand Forecast Modelling at IIT Kanpur Using Artificial Neural Networks , 2001 .

[26]  Ashu Jain,et al.  Development of effective and efficient rainfall‐runoff models using integration of deterministic, real‐coded genetic algorithms and artificial neural network techniques , 2004 .

[27]  Kuolin Hsu,et al.  Estimation of physical variables from multichannel remotely sensed imagery using a neural network: Application to rainfall estimation , 1999 .

[28]  N. Lam Spatial Interpolation Methods: A Review , 1983 .

[29]  K. P. Sudheer,et al.  Explaining the internal behaviour of artificial neural network river flow models , 2004 .