Document Type : Research Paper

Authors

1 Department of Civil Engineering, Faculty of Engineering, Razi University, Kermanshah, Iran

2 Department of Civil Engineering, Faculty of Engineering, Razi University, Kermanshah, Iran Environmental Research Center, Razi University, Kermanshah, Iran

Abstract

Given the climate changes, achieving rainfall forecast is of high importance and facing such challenges affected markedly in vast areas of societies. Accordingly, numerous nonlinear and linear methods have been developed. Most hydrological phenomena like rainfall are consisted of both linear and nonlinear parts. Modeling such phenomenon with stochastic methods like seasonal auto regressive moving average model (SARIMA), which are linear, demands data preparation prior to modeling. In this study, by investigating different forms of data preparation methods, variations in stochastic modeling results are scrutinized. The pre-processing methods used are categorized in two parts, normalization and stationarzition of data. The rainfall series is initially normalized by 4 transforms, namely: Manly(Mn), John-Draper (JD), Yeo-Johnson (YJ) and Scaling (Sc). The series, then, are stationarized by differencing, standardization (Std) and spectral analysis (Sf). After achieving preferred results by numerous tests, the preprocessed data are then modeled by stochastic SARIMA model. With regards to error and model sufficiency indices and graphs results, the acceptable results, but not the best, was obtained by the Sc-Diff combination, with SARIMA (0,0,1) (3,0,3)12 model and coefficient of determination, 0.355, variance accounted for, 0.353, root mean square error, 0.313, scatter index, 1.030, mean absolute error, 21.355), corrected Akaike Information Criterion, 1227.03. The results revealed that concerning the severe fluctuations in data, a supplementary method, like hybridization with artificial intelligence (AI) methods, is needed to achieve preferable results.

Keywords

Abadan S., and Shabri A., Hybrid empirical mode decomposition-ARIMA for forecasting price of rice, Applied Mathematical Sciences 8 (2014) 3133-3143.
Akpanta A.C., Okorie I.E., Okoye N.N., SARIMA modelling of the frequency of monthly rainfall in Umuahia, Abia state of Nigeria, American Journal of Applied Mathematics and Statistics 5 (2015) 82-87.
Asnaashari A., Gharabaghi B., McBean E.D., Mahboubi A.A., Reservoir management under predictable climate variability and change, Journal of Water and Climate Change 6 (2015) 472-485.
Burnham K.P., and Anderson D.R., Model selection and multimodel inference: A practical information-theoretic approach, 2nd Ed., New York: Springer-Verlag (2002).
Dodge Y., The Oxford Dictionary of Statistical Terms, Oxford University Press on Demand (2003).
Ebtehaj I., Bonakdari H., Zeynoddin M., Gharabaghi B., Azari A., Evaluation of preprocessing techniques for improving the accuracy of stochastic rainfall forecast models, International Journal of Environmental Science and Technology (2019) 1-20.
Freeman B.S., Taylor G., Gharabaghi B., Thé J., Forecasting air quality time series using deep learning, Journal of the Air & Waste Management Association 68 (2018) 866-886.
Guo Y., Zhao R., Zeng Y., Shi Z., Zhou Q., Identifying scale-specific controls of soil organic matter distribution in mountain areas using anisotropy analysis and discrete wavelet transform, CATENA 160 (2018) 1-9.
Hernández N., Camargo J., Moreno F., Plazas-Nossa L., Torres A., Arima as a forecasting tool for water quality time series measured with UV-Vis spectrometers in a constructed wetland, Tecnologia Y Ciencias Del Agua 8 (2017) 127-139.
Jarque C.M., and Bera A.K., Efficient tests for normality, homoscedasticity and serial independence of regression residuals, Economics Letters 6 (1980) 255-259.
John J., and Draper N., An alternative family of transformations, Journal of the Royal Statistical Society. Series C (Applied Statistics) 29 (1980) 190-197.
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