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URBAN WATER DEMAND FORECASTING USING ARTIFICIAL NEURAL NETWORKS: A CASE STUDY OF BANGKOK. BY VICTOR SHINDE
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CONTENTS Need for water demand forecasting Description of ANN Study area description Results of the study Conclusions
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INTRODUCTION Need for water demand forecasting Need for water demand forecasting Water is a finite resource. Expanding the capacity of a water distribution system. Improving the reliability of supply. Effecting demand management instruments. Procurement of investment.
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DESCRIPTION OF ANN Why use ANN? Accounts for non linearity between inputs and outputs Uses a universal function to convert inputs to output, for all types of problems. More realistic forecasts.
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DESCRIPTION OF ANN A network which mimics the human brain. Input layerHidden LayerOutput layer INPUTINPUT OUTPUTOUTPUT Connection links each having some weight ‘w’ w 1j w 2j w 3j x1x1 x2x2 x3x3 j y j = f(x 1 w 1j +x 2 w 2j +x 3 w 3j ) f = Transfer function = (1/(1+e -t )
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DESCRIPTION OF ANN Network Training Input layerHidden LayerOutput layer INPUTINPUT Output Desired Output Compares Cost function E =
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STUDY AREA DESCRIPTION Main study area Metropolitan Waterworks Authority (MWA) responsibility area – Bangkok Metropolis, Nontaburi & Samut Prakarn Secondary study areas Hanoi (Vietnam) and Chiang Mai (Thailand)
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STUDY AREA DESCRIPTION MWA responsibility area (2007 statistics) Population : 7.86 Million Population served: 7.36 Million (93.6%) Average Daily production : 5.52 MCM Non Revenue Water : 30.32 % Secondary study areas Secondary study areas
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Overall objective Overall objective To develop ANN models to forecast the water demand for MWA – Bangkok. Specific objectives Specific objectives forecast ● To forecast the short term and long term water demand for MWA. identify ● To identify the factors most crucial in determining the short term and long term water demands for MWA. compare ● To compare the factors influencing long term demand for Bangkok, Hanoi and Chiang Mai OBJECTIVES OF THE STUDY
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Demand Short term (ST) demand – Daily demand, 1,2 & 3 days lead Long term (LT) demand – Monthly demand, 1,2 & 6 months lead Data used ST Demand – Historical demand (sales), Rainfall, RH, Mean Temp LT Demand – Historical demand (sales), Population, GPP, Household connections, Education status, Rainfall, RH, Max Temp For comparing the cities (Bangkok, Hanoi and Chiang Mai) – Same as LT Demand, only production in lieu of sales & Mean Temp instead of Max Temp Software used – ANN NeuroSolutions SCOPE OF THE STUDY
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Methodology for both ST and LT demand models Methodology for both ST and LT demand models SCOPE OF THE STUDY Data Collection and Analysis Input Selection Model Training & Testing for 1 st set Sensitivity analysis Omission of least sensitive variables Training & Testing for 2 nd set Correlation Matrix Pruning & Construction Architectures MLP GFF RBF Transfer functions Hyperbolic tan Sigmoid Learning Rules Backward Descend Conjugate Gradient 150 ST Models – 15 sets 88 LT Models – 6 sets 60 Comparison models
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RESULTS Short term demand, 1 day lead Input Selection : Zhang et al. (2006), Msiza et al. (2007) Selected Variables: Mean Temperature, Rainfall and RH
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RESULTS
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RESULTS AARE = RMSE = (Threshold static) x = (n/N) x 100 Zhang et al. (2008) Adamowski (2008) Ghiassi et al. (2007) Jain et al. (2000)
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Input Variables: HWD, Mean Temp & Rainfall RESULTS
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RESULTS Input Variables: Only HWD Input Variables: HWD -1, HWD -2.
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RESULTS Input Variables: HWD -1, HWD -2 & HWD -3. Input Variables: HWD -1 through HWD -7
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Master model for seven consecutive day forecast Input variables: HWD, Rainfall, Mean Temperature & RH
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Best fit models for Short term Demand RESULTS
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RESULTS Best fit models for Long term Demand
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Factors influencing ST & LT Demand Sensitivity Analysis Standardize all data Y = & σ are the mean and standard deviation Increases and decreases the input variables between the standardized -1 and +1 Thus a standardized value of ‘zero’ represents the mean of the sample Presents the trend of change in the demand. RESULTS
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Factors influencing ST & LT Demand RESULTS
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20 models prepared for each city using MLP & GFF Input Variables: Population, GPP, Household connections, Education status, HWD, Rainfall, Max Temperature, RH Input Variables: Population, GPP, Household connections, Education status, HWD, Rainfall, Max Temperature, RH Best fit model results, AARE Bangkok – 1.06% Hanoi – 2.18 % Chiang Mai – 1.26% Sensitivity analysis to determine influencing variables Demand models for Bangkok, Hanoi & Chiang Mai RESULTS
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RESULTS
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CONCLUSIONS ANN can provide the MWA with a powerful instrument to forecast the demands. Forecasting accuracy will be over 98% for both ST & LT. Advantages for MWA Schedule pumping operations Reduce detention time to improve water quality Monthly revenues can be estimated upto 6 months in advance Diversions, Basin transfers can be planned in dry years Factors Influencing MWA sales demand ST Demand : Historical water demand LT Demand : Education status & Household connections Comparison of factors influencing production demands of Bangkok, Hanoi and Chiang Mai Bangkok : HH connections, GPP and Education Hanoi: Education status, Mean Temperature and Population Chiang Mai: HH connections, Mean Temperature & Rainfall (This information could prove vital for goverments, international agencies and funding organizations)
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