Time Series Modelling and Prediction of River Runoff: Case Study of Karkheh River, Iran
Authors: Karim Hamidi Machekposhti, Hossein Sedghi, Abdolrasoul Telvari, Hossein Babazadeh
Abstract:
Rainfall and runoff phenomenon is a chaotic and complex outcome of nature which requires sophisticated modelling and simulation methods for explanation and use. Time Series modelling allows runoff data analysis and can be used as forecasting tool. In the paper attempt is made to model river runoff data and predict the future behavioural pattern of river based on annual past observations of annual river runoff. The river runoff analysis and predict are done using ARIMA model. For evaluating the efficiency of prediction to hydrological events such as rainfall, runoff and etc., we use the statistical formulae applicable. The good agreement between predicted and observation river runoff coefficient of determination (R2) display that the ARIMA (4,1,1) is the suitable model for predicting Karkheh River runoff at Iran.
Keywords: Time series modelling, ARIMA model, River runoff, Karkheh River, CLS method.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1316434
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 798References:
[1] Bender, M., Simonovic, S. “Time series modeling for long range stream flow forecasting,” Journal of Water Resources Planning and Management, 1994, 120(6): 857–870.
[2] Box, G.E.P.; Jenkins, G.M. “Time Series Analysis: Forecasting and Control,” Holden Day, San Francisco, California, 1976.
[3] Chang, L. C., Tiao, J. “Microcomputer application in stochastic hydrology,” Journal of Hydraulic Division, ASCE, 1985. 371-375.
[4] Cheng, Y. “Evaluating an autoregressive model for Stream flow forecasting,” Conference Proceeding of Hydraulic Engineering; 1994, 1105–1109.
[5] Chiew, F. H. S., Stewardson, M. J., McMahon, T. A. “Comparison of six Rainfall-Runoff Modelling Approaches,” Journal of Hydrology; 1993, 147: 1-36.
[6] Graupe, D., Isailovic, D., Yevjevich, V. “Prediction model for runoff from Karstified catchments,” In Proceedings of the U.S.-Yugoslavian Symposium on Karst Hydrology and Water Resources, Dubrovnik; 1976, 277–300.
[7] Haltiner, J. P., Salas, J. D. “Short-term forecasting of snowmelt discharge using ARMAX models,” Journal of the American Water Resources Association, 1988, 24(5):1083- 1089.
[8] Hamidi machekposhti K., Sedghi H., Abdolrasoul Telvari A., Babazadeh, H. “Forecasting by Stochastic Models to Inflow of Karkheh Dam at Iran,” Civil Engineering Journal, 2017, Vol. 3, No. 5, 340-350.
[9] Hipel, K. W., McLeod, A. I., Lennox, W. C. “Advances in box Jenkins modeling,” Journal Water Res. Res., 1977, 13(3): 567-575.
[10] Naill, P. E., Momani, M. “Time Series Analysis Model for Rainfall Data in Jordan: CS,” American J. of Env. Sc., 2009, 5(5): 599-604.
[11] Nigam, R.; Nigam, S.; Mittal, S. K. “The river runoff forecast based on the modeling of time series,” Russian Meteorology and Hydrology, 2014, 39(11), 750-761.
[12] Nigam, R., Bux, S., Nigam, S., Pardasani, K. R., Mittal, S. K., Haque, R. “Time series modeling and forecast of river flow,” Current World Environment, An International Research Journal of Environmental Science; 2009, 4(1): 79-87.
[13] Nigam, R., Nigam, S., Mittal, S.K. “Modeling tropical river runoff: A time dependent approach,” Sciences in Cold and Arid Regions, 2014, 6(3): 247-256.
[14] Nigam, R., Nigam, S., Kapoor, S. “Time Series Modeling Of Tropical River Runoff,” International Journal Of Pure And Applied Research In Engineering And Technology (IJPRET), 2013,1(7): 13-29.
[15] O’Connell, P. E. “Real Time Hydrological Forecasting and Control,” Institute of Hydrology, UK, 1980, 264-295.
[16] Salas, J. D., Deulleur, J. W., Yevjevich, V., Lane, W. L. “Applied modeling of hydrologic time series,” Water Resources publication, Littleton, Colorado; 1980.
[17] Shakeel, A.M.; Idrees, A.M.; Naeem, H.M.; Sarwar, B.M. “Time Series Modelling of Annual Maximum Flow of River Indus at Sukkur,” Pakistan. Journal of Agricultural Sciences, 1993, 30(1), 36-38.
[18] Singh, V.P., Woolhiser, D.A. “Mathematical modeling of watershed hydrology,” J. of Hydrology Engineering; 2002, 7(4): 270–292.
[19] Stojković, M.; Prohaska, S.; Plavšić, J. “Stochastic structure of annual discharges of large European rivers,” J. Hydrology and Hydromechanics, 2015, 63(1), 63–70.
[20] Wang, W. “Sochasticity, Nonlinearity and Forecasting of Stream flow Processes,” IOS Press, technical university of Delft, the Netherlands, 2006.
[21] Yevjevich, V. M. “Stochastic processes in Hydrology,” Water Resource Pub., FC, Colorado, 1972.