Document Type : Research Paper

Authors

1 Department of Water Engineering, College of Agriculture, Bu-Ali Sina University, Iran.

2 Deptartment of Hydraulics, Soil Science & Agriculture Engineering, School of Agriculture, Faculty of Agriculture, Forestry and Natural Environment, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece.

3 Laboratory of Engineering Geology & Hydrogeology, Department of Geology, Aristotle University, Egnatia St., 54124 Thessaloniki, Greece.

Abstract

Water quality is a worldwide problem which affects human beings lives fundamentally. Water scarcity is intensified in result of quality deterioration. Different factors such as population increase, economic development and water pollution could be considered as the origins of the problem. The study and forecasting of water quality is necessary to prevent serious water quality deteriorations in future. Different methodologies have been used to predict and estimate the quality of water. In present study using time series modeling, the quality of Hor Rood River is studied at Kakareza station using time series analysis. 9 parameters of water quality are studied such as: TDS, EC, HCO3-, SO42-, Mg2+, Ca2+, Na+, pH and SAR. Investigation of observed time series show that there is an increasing trend for all parameters unless Na+, pH and SAR. The order of model for each parameter was determined using auto correlation function (ACF) and partial auto correlation function (PACF) of time series. ARIMA (autoregressive, integrated, moving average) model was found suitable to generate and forecast the quality of river water. AIC, R2, RMSE and VE % criteria were used for evaluating the generation and forecasting results. Results show that time series modeling is quite capable of water quality forecasting. For all generated and forecasted parameters the value of R2 was greater than 0.66 Except for SO42-. The value of R2 for generated SO42- was 0.48 and this value was 0.43 for forecasting this parameter. Also the study show that the quality of water is deteriorating based on an increasing trend for the majority of parameters and needs serious managerial actions.

Keywords

Ahmad S., Khan I.H., Parida B.P., Performance of stochastic approaches for forecasting river water quality, Water Research 35 (2001) 4261–4266.
Antonopoulos V.Z., Papamichail D.M., Mitsiou K.A., Statistical and trend analysis of water quality and quantity data for the Strymon River in Greece, Hydrology and Earth System Sciences 5 (2001) 679- 691.
Box G.E.P., Jenkins G.M., Time Series Analysis, Forecasting and Control. Revised ed. Toronto: Holden-Day (1976).
Chow W.T., Kareliotis S.J., Analysis of stochastic hydrologic systems, Water Resources Research 16 (1970) 1569-1582.
Dalme C., Yalcin A., Flood prediction using time series data mining, Journal of Hydrology 333 (1970) 305-316.
El-Shaarawi A.H., Esterby S.R., Kuntz K.W., A statistical evaluation of trends in the water quality of the Niagara river, Journal of Great Lakes Research 9 (1983) 234- 240.
Faruk D.O., A hybrid neural network and ARIMA model for water quality time series prediction, Engineering Applications of Artificial Intelligence 23 (2010) 586–594.
Gangyan Z., Goel N.K., Bhatt V.K., Stochastic modeling of the sediment load of the upper Yangtze river (Chaina), Hydrological Sciences Journal 47 (2002) 93-105.
Gun C., Vilagines R., Time series analysis on chlorides, nitrates, ammonium and dissolved oxygen concentrations in the Seine, The Science of the Total Environment 208 (1997) 59-69.
Halliday S.J., Wade A.J., Skeffington R.A., Neal C., Reynolds B., Rowland P., Neal M., Norris D., An analysis of long-term trends, seasonality and short-term dynamics in water quality data from Plynlimon, Wales, The Science of the Total Environment 434 (2012) 186–200.
Hanh P.T.M., Analysis of variation and relation of climate, hydrology and water quality in the lower Mekong river, Water Science and Technology 62 (2010) 1587–1594.
Hirsch R.M., Slack J.R., Smith R.A., Techniques of Trend analysis for monthly water quality data. Water Resources Research 18 (1982) 107- 121.
Irvine K.N., Richey J.E., Holtgrieve G.W., Sarkkula J., Sampson M., Spatial and temporal variability of turbidity, dissolved oxygen, conductivity, temperature, and fluorescence in the lower Mekong River–Tonle Sap system identified using continuous monitoring, International Journal of River Basin Management 9 (2011) 151-168.
Irvine K.N., Eberhardt A.J., Multiplicative, seasonal ARIMA models for Lake Erie and Lake Ontario water levels, Water Resources Bulletin 28 (1992) 385–396.
Jalal Kamali N., Forecasting the variations of inflow to Jiroft Dam using Time Series Theories, 6th international seminar on River Engineering, ShahidChamran University, Ahvaz, Iran, 2006.
Jamab Consulting Engineers, Integrated Program of Adaptation to Climate Study, Karkhe Watershed 1 (2005).
Jassby A.D., Reuter J.E., Goldman C.R., Determining long term water quality change in the presence of climate variability, Lake Tahoe (USA), Canadian Journal of Fisheries and Aquatic Sciences 60 (2003) 1452- 1461.
Karamouz M., Araghinejad S.H., Advanced Hydrology. Industrial University of Amir Kabir (Poly Technics), Tehran, Iran, Publication Centre of Amir Kabir University (2005).
Khashei M., Bijari M., An artificial neural network (p,d,q) model for time series forecasting, Expert Systems with Applications 37 (2010) 479–489.
Kim J.-H., Lee J., Cheong T.-J., Kim R.H., Koh D.-C., Ryu J.-S., Chang H.–W., Use of time series for theidentification of tidal effect on groundwater in the coastal area of Kimje, Korea, Journal of Hydrology 300 (2005) 188- 198.
Komornık J., Komornıkova M., Mesiar R., Szokeova D., Szolgay J., Comparison of forecasting performance of nonlinear models of hydrological time series, Physics and Chemistry of the Earth 31 (2006) 1127–1145.
Kurunc A., Yurekli K., Cevik O., Performance of two stochastic approaches for forecasting water quality and stream flow data from Yesilirmak River, Turkey, Environmental Modeling & Software 20 (2005) 1195–1200.
Lehmann A., Rode M., Long-term behavior and cross-correlation water quality analysis of the River Elbe, Germany, Water Research 35 (2001) 2153–2160.
McKerchar A.I., Delleur L.W., Application of seasonal parametric linear stochastic models to monthly flow data, Journal of Water Resource Reservoir 10 (1974) 246-255.
Montanari A., Rosso R., Taqqu M.S., A seasonal fractional ARIMA model applied to the Nile River monthly flows at Aswan. Journal of Water Resource Reservoir 36 (2000) 1249–1259.
Nelson C.R., Applied Time Series Analysis for Managerial Forecasting, San Francisco: Holden-Day,1973.
Padilla A., Pulido-Bosch A., Calvache M.L., Vallejos A., The ARMA models applied to the flow of karstic springs, Journal of Water Resource Reservoir 32 (1996) 917–928.
Panda D.K., Kumar A., Mohanty S., Recent trends in sediment load of the tropical (Peninsular) river basins of India, Global and Planetary Change 75 (2011) 108- 118.
Pankratz A., Forecasting with Univariate Box-Jenkins Models, New York: John Wiley & Sons, (1983).
Papamichail D.M., Georgiou P.E., Seasonal ARIMA inflow models for reservoir sizing, Journal of American Water Resources Association 37(2001) 877-885.
Papamichail D.M., Antonopoulos V.Z., Georgiou P.E., Stochastic models for Strymon river flow and water quality parameters. Proc. of International Conference “Protection and Restoration of Environment V”, I (2000) 219-226.
Rao A.R., Kashyap R.L., Mao L.-T., Optimal choice of type and order of river flow time series models, Water Resources Research 18 (1982) 1097–1109.
Robson A.J., Neal C., Water quality trends at an upland site in Wales, UK, (1983- 1993), Hydrological Processes 10 (1996) 183- 203.
Salas J.D., Boes, D.C. and Smith, R.A., Estimation of ARMA models with seasonal parameters. Water Resources Research 18 (1982) 1006–1010.
Salas J.D., Applied Modeling of Hydrologic Time Series, Littleton, CO: Water Resources Publications. 1980.
Sheng H., Chen Y.Q., FARIMA with stable innovations model of Great Salt Lake elevation time series, Signal Processing 91 (2011) 553–561.
Stansfield B., Effects of sampling frequency and laboratory detection limits on the determination of time series water quality trends, New Zeland, Journal of Marine and Freshwater Research 35 (2001).
Thomas H.A., Fiering M.B., Mathematical synthesis of stream flow sequences for the analysis of river basin by simulation, Harward University Press, Cambridge 1962.
Turner B.F., Gardner L.R., Sharp W.E., The hydrology of Lake Bosumtwi, a climate-sensitive lake in Ghana, West Africa, Journal of Hydrology 183 (1996) 243-261.
Vandaele W., Applied Time Series and Box-Jenkins Models. New York: Academic Press, Inc. (1983).
Voudouris K., Georgiou P., Stiakakis E., Monopolis D., Comparative analysis of stochastic models for simulation of discharge and chloride concentration in Almyroskartsic spring in Greece. e-Proceedings of the 14th Annual Conference of the International Association of Mathematical Geosciences, IAMG, Budapest, Hungary (2010) 1-15.
Webb B.W., Clack P.D., Walling D.E., Water- Air Temperature Relationships in a Devon River System and the Role of Flow, Hydrological processes 17 (2003) 3069- 3084.
Weeks W.D., Boughton W.C., Tests of ARMA model forms for rainfall-runoff modeling, Journal Hydrology 91(1987) 29–47.
Yu Y.-S., Zou S., Whittemore D., Non parametric trend analysis of water quality data of rivers in Kansas, Journal of Hydrology 260 (1993) 161-175.
Yurekli K., Kurunc A., Performance of stochastic approaches in generating low streamflow data for drought analysis, Journal of Spatial Hydrology 5 (2005) 20–32.
Zhang G.P., Time series forecasting using a hybrid ARIMA and neural network model, Neurocomputing 50 (2003)159–175.