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Published in: Environmental Earth Sciences 5/2016

01-03-2016 | Original Article

Application of integrated ARIMA and RBF network for groundwater level forecasting

Authors: Qiao Yan, Cong Ma

Published in: Environmental Earth Sciences | Issue 5/2016

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Abstract

The combination model of autoregressive integrated moving average (ARIMA) and radial basis function network (RBFN) is used for the prediction of monthly groundwater level. The ARIMA model is used to estimate the linear principal of time series, and the RBFN model is used to predict the nonlinear residuals. The proposed hybrid model is applied to forecast the monthly groundwater level fluctuations for two observation wells in the city of Xi’an, China. The monthly groundwater level data from the year 1998 to 2008 are used for training the applied models and the data from the year 2009 to 2010 are reserved for testing. Predicted data from the hybrid model are compared with those from the ARIMA model and RBFN model using the accuracy measures. The result shows that the proposed hybrid model has both the good linear fitting ability of ARIMA model and the great nonlinear mapping ability of RBFN model. The prediction accuracy rate is higher than that of any single model. Therefore, the application of the combination model in the prediction of groundwater level is effective and feasible.

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Literature
go back to reference Adamowski J, Chan HF (2011) A wavelet neural network conjunction model for groundwater level forecasting. J Hydrol 407:28–40CrossRef Adamowski J, Chan HF (2011) A wavelet neural network conjunction model for groundwater level forecasting. J Hydrol 407:28–40CrossRef
go back to reference Aksoy H, Dahamsheh A (2009) Artificial neural network models for forecasting monthly precipitation in Jordan. Stoch Env Res Risk A 23(7):913–931CrossRef Aksoy H, Dahamsheh A (2009) Artificial neural network models for forecasting monthly precipitation in Jordan. Stoch Env Res Risk A 23(7):913–931CrossRef
go back to reference Bates JM, Granger CWJ (1969) The combination of forecasts. Oper Res Q 20(1):451–468CrossRef Bates JM, Granger CWJ (1969) The combination of forecasts. Oper Res Q 20(1):451–468CrossRef
go back to reference Box GEP, Jenkins GM, Reinsel GC (1991) Time series analysis, forecasting and control. Prentice Hall, Englewood Cliffs Box GEP, Jenkins GM, Reinsel GC (1991) Time series analysis, forecasting and control. Prentice Hall, Englewood Cliffs
go back to reference Cadenas E, Rivera W (2010) Wind speed forecasting in three different regions of Mexico, using a hybrid ARIMA-ANN model. Renew Energ 35:2732–2738CrossRef Cadenas E, Rivera W (2010) Wind speed forecasting in three different regions of Mexico, using a hybrid ARIMA-ANN model. Renew Energ 35:2732–2738CrossRef
go back to reference Chaabane N (2014) A hybrid ARFIMA and neural network model for electricity price prediction. Int J Elec Power 55:187–194CrossRef Chaabane N (2014) A hybrid ARFIMA and neural network model for electricity price prediction. Int J Elec Power 55:187–194CrossRef
go back to reference Chang FJ, Chen YC (2003) Estuary water-stage forecasting by using radial basis function neural network. J Hydrol 270(1–2):158–166CrossRef Chang FJ, Chen YC (2003) Estuary water-stage forecasting by using radial basis function neural network. J Hydrol 270(1–2):158–166CrossRef
go back to reference Chen LH, Chen CT, Pan YG (2010) Groundwater level prediction using SOM-RBFN multisite model. J Hydrol Eng 15(8):624–631CrossRef Chen LH, Chen CT, Pan YG (2010) Groundwater level prediction using SOM-RBFN multisite model. J Hydrol Eng 15(8):624–631CrossRef
go back to reference Chen LH, Chen CT, Lin DW (2011) Application of integrated back-propagation network and self organizing map for groundwater level forecasting. J Water Res Pl-ASCE 137:352–365CrossRef Chen LH, Chen CT, Lin DW (2011) Application of integrated back-propagation network and self organizing map for groundwater level forecasting. J Water Res Pl-ASCE 137:352–365CrossRef
go back to reference DeLurgio SA (1998) Forecasting principles and applications. Tom Gasson, New York DeLurgio SA (1998) Forecasting principles and applications. Tom Gasson, New York
go back to reference Faruk DO (2010) A hybrid neural network and ARIMA model for water quality time series prediction. Eng Appl Artif Intel 23:586–594CrossRef Faruk DO (2010) A hybrid neural network and ARIMA model for water quality time series prediction. Eng Appl Artif Intel 23:586–594CrossRef
go back to reference Girosi F, Poggio T (1990) Networks and the best approximation property. Biol Cybern 63(3):169–176CrossRef Girosi F, Poggio T (1990) Networks and the best approximation property. Biol Cybern 63(3):169–176CrossRef
go back to reference Govindaraju RS, Rao AR (2000) Artificial neural networks in hydrology. Kluwer, The NetherlandsCrossRef Govindaraju RS, Rao AR (2000) Artificial neural networks in hydrology. Kluwer, The NetherlandsCrossRef
go back to reference Haykin S (1999) Neural networks: a comprehensive foundation. Prentice Hall, New Jersey Haykin S (1999) Neural networks: a comprehensive foundation. Prentice Hall, New Jersey
go back to reference Jiang SY, Ren ZY, Xue KM, Li CF (2008) Application of BPANN for prediction of backward ball spinning of thin-walled tubular part with longitudinal inner ribs. J Mater Process Tech 196:190–196CrossRef Jiang SY, Ren ZY, Xue KM, Li CF (2008) Application of BPANN for prediction of backward ball spinning of thin-walled tubular part with longitudinal inner ribs. J Mater Process Tech 196:190–196CrossRef
go back to reference Khashei M, Bijari M (2011) A novel hybridization of artificial neural networks and ARIMA models for time series forecasting. Appl Soft Comput 11:2664–2675CrossRef Khashei M, Bijari M (2011) A novel hybridization of artificial neural networks and ARIMA models for time series forecasting. Appl Soft Comput 11:2664–2675CrossRef
go back to reference Khashei M, Bijari M, Ardali GAR (2012a) Hybridization of autoregressive integrated moving average (ARIMA) with probabilistic neural networks (PNNs). Comput Ind Eng 63:37–45CrossRef Khashei M, Bijari M, Ardali GAR (2012a) Hybridization of autoregressive integrated moving average (ARIMA) with probabilistic neural networks (PNNs). Comput Ind Eng 63:37–45CrossRef
go back to reference Khashei M, Bijari M, Hejazi SR (2012b) Combining seasonal ARIMA models with computational intelligence techniques for time series forecasting. Soft Comput 16:1091–1105CrossRef Khashei M, Bijari M, Hejazi SR (2012b) Combining seasonal ARIMA models with computational intelligence techniques for time series forecasting. Soft Comput 16:1091–1105CrossRef
go back to reference Konikow LF, Kendy E (2005) Groundwater depletion: a global problem. Hydrogeol J 13(1):317–320CrossRef Konikow LF, Kendy E (2005) Groundwater depletion: a global problem. Hydrogeol J 13(1):317–320CrossRef
go back to reference Krishna B, Satyaaji Rao YR, Vijaya T (2008) Modeling groundwater levels in an urban coastal aquifer using artificial neural networks. Hydrol Process 22(8):1180–1188CrossRef Krishna B, Satyaaji Rao YR, Vijaya T (2008) Modeling groundwater levels in an urban coastal aquifer using artificial neural networks. Hydrol Process 22(8):1180–1188CrossRef
go back to reference Lin GF, Chen LH (2005) Time series forecasting by combining the radial basis function network and the self-organizing map. Hydrol Process 19(10):1925–1937CrossRef Lin GF, Chen LH (2005) Time series forecasting by combining the radial basis function network and the self-organizing map. Hydrol Process 19(10):1925–1937CrossRef
go back to reference Liu H, Chen C, Tian HQ, Li Y (2012a) A hybrid model for wind speed prediction using empirical mode decomposition and artificial neural networks. Renew Energ 48:545–556CrossRef Liu H, Chen C, Tian HQ, Li Y (2012a) A hybrid model for wind speed prediction using empirical mode decomposition and artificial neural networks. Renew Energ 48:545–556CrossRef
go back to reference Liu H, Tian HQ, Li YF (2012b) Comparison of two new ARIMA-ANN and ARIMA-Kalman hybrid methods for wind speed prediction. Appl Energ 98:415–424CrossRef Liu H, Tian HQ, Li YF (2012b) Comparison of two new ARIMA-ANN and ARIMA-Kalman hybrid methods for wind speed prediction. Appl Energ 98:415–424CrossRef
go back to reference MATLAB (2010) The MathWorks Inc., Naick, MA MATLAB (2010) The MathWorks Inc., Naick, MA
go back to reference Mohanty S, Jha MK, Kumar A, Sudheer KP (2010) Artificial neural network modeling for groundwater level forecasting in a river island of Eastern India. Water Resour Manag 24:1845–1865CrossRef Mohanty S, Jha MK, Kumar A, Sudheer KP (2010) Artificial neural network modeling for groundwater level forecasting in a river island of Eastern India. Water Resour Manag 24:1845–1865CrossRef
go back to reference Noori R, Abdoli MA, Farokhnia A, Abbasi M (2009) Results uncertainty of solid waste generation forecasting by hybrid of wavelet transform-ANFIS and wavelet transform-neural network. Expert Syst Appl 36:9991–9999CrossRef Noori R, Abdoli MA, Farokhnia A, Abbasi M (2009) Results uncertainty of solid waste generation forecasting by hybrid of wavelet transform-ANFIS and wavelet transform-neural network. Expert Syst Appl 36:9991–9999CrossRef
go back to reference Qu FF, Zhang Q, Lu Z, Zhao CY, Yang CS, Zhang J (2014) Land subsidence and ground fissures in Xi’an, China 2005-2012 revealed by muti-band InSAR time-series analysis. Remote Sens Environ 155:366–376CrossRef Qu FF, Zhang Q, Lu Z, Zhao CY, Yang CS, Zhang J (2014) Land subsidence and ground fissures in Xi’an, China 2005-2012 revealed by muti-band InSAR time-series analysis. Remote Sens Environ 155:366–376CrossRef
go back to reference Sahho GB, Raya C (2006) Flow forecasting for a Hawaii stream using rating curves and neural networks. J Hydrol 317:63–80CrossRef Sahho GB, Raya C (2006) Flow forecasting for a Hawaii stream using rating curves and neural networks. J Hydrol 317:63–80CrossRef
go back to reference Schwenker F, Kestler HA, Palm G (2001) Three learning phases for radial-basis-function networks. Neural Netw 14(4):439–458CrossRef Schwenker F, Kestler HA, Palm G (2001) Three learning phases for radial-basis-function networks. Neural Netw 14(4):439–458CrossRef
go back to reference Shahwan T, Odening M (2007) Computational intelligence in economics and finance. Springer, Berlin, pp 63–74CrossRef Shahwan T, Odening M (2007) Computational intelligence in economics and finance. Springer, Berlin, pp 63–74CrossRef
go back to reference Tsanis IK, Coulibay P, Daliakopoulos N (2008) Improving groundwater level forecasting with a feedforward neural network and linearly regressed projected precipitation. J Hydroinform 10(4):317–330CrossRef Tsanis IK, Coulibay P, Daliakopoulos N (2008) Improving groundwater level forecasting with a feedforward neural network and linearly regressed projected precipitation. J Hydroinform 10(4):317–330CrossRef
go back to reference Wasserman PD (1993) Advanced methods in neural computing. Van Nostrand Reinhold, New York Wasserman PD (1993) Advanced methods in neural computing. Van Nostrand Reinhold, New York
go back to reference Xie T, Yu H, Wilamowski B (2011) Comparison between traditional neural and radial basis function network. In: Proceedings of the IEEE International Symposium on Industrial Electronics, pp 1194–1199 Xie T, Yu H, Wilamowski B (2011) Comparison between traditional neural and radial basis function network. In: Proceedings of the IEEE International Symposium on Industrial Electronics, pp 1194–1199
go back to reference Yang ZP, Lu WX, Long YQ, Li P (2009) Application and comparison of two prediction models for groundwater levels: a case study in Western Jilin Province, China. J Arid Environ 73:487–492CrossRef Yang ZP, Lu WX, Long YQ, Li P (2009) Application and comparison of two prediction models for groundwater levels: a case study in Western Jilin Province, China. J Arid Environ 73:487–492CrossRef
go back to reference Zhang PG (2003) Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50:159–175CrossRef Zhang PG (2003) Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50:159–175CrossRef
Metadata
Title
Application of integrated ARIMA and RBF network for groundwater level forecasting
Authors
Qiao Yan
Cong Ma
Publication date
01-03-2016
Publisher
Springer Berlin Heidelberg
Published in
Environmental Earth Sciences / Issue 5/2016
Print ISSN: 1866-6280
Electronic ISSN: 1866-6299
DOI
https://doi.org/10.1007/s12665-015-5198-5

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