Application of hybrid ARIMA and support vector regression model for improvement of time series forecasting
Subject Areas : Farm water management with the aim of improving irrigation management indicatorsLaleh Parviz 1 , Bahareh Saeedabdi 2
1 - Faculty of Agriculture, Azarbaijan Shahid Madani University, Tabriz, Iran
2 - Faculty of Agriculture, Azarbaijan Shahid Madani University
Keywords: Nonlinear, support vector regression, ARIMA, Hybrid,
Abstract :
Accurate investigation related to the structure of time series plays an important role in increasing the accuracy of ARIMA forecasting. The aim of this research is to investigate the effect of modeling decomposition of linear and non linear parts of time series on ARIMA model results. The decomposition of wheat and maize yield time series (in Kermanshah and Esfahan provinces) in the linear part was related to ARIMA and in the non linear part was conducted with support vector regression (hybrid model). The kind of configuration of non linear part of hybrid model is more important for example in the maize time series of Kermanshah, the values of RMSE for configuration with residual was 1.52 and for time series configuration was 15.03. The decreasing of RMSE, MAE and UII for wheat time series of Esfahan with hybrid model was 45.94%, 52.29% and 46%, respectively which is indicative of hybrid model improvement. The value of GMER in all four time series was greater than one which indicates the overestimation of hybrid model. Comparison the average of each criteria with two models and crops in each province indicated the effect of climate on modeling process because the average of criteria in Esfahan province decreased rather to Kermanshah (RMSE decreasing= 24.72%, UII decreasing=12.24%). Therefore, decomposition of time series to linear and non linear parts of time series can increase the accuracy of ARIMA model results.
پرویز، ل. و پیمایی، م. 1397. پیش بینی اقلیمی استوکستیکی عملکرد چهار گیاه گندم، جو، سیب زمینی و ذرت دانهای در استانهای آذربایجان شرقی و غربی در راستای توسعه برنامهریزی کشاورزی. نشریه تولید گیاهان زراعی، 11(4): 11-26.
زارع ابیانه، ح. 1392. بررسی نقش عوامل اقلیمی و خشکسالی بر تغییرپذیری عملکرد چهار محصول دیم در مشهد و بیرجند. دانش آب و خاک تبریز، 23 (1): 39-56.
Biswas, B., Dhaliwal L.K., Singh S.P. and Sandhu S.K. 2014. Forecasting wheat production using ARIMA model in Punjab. International Journal of Agricultural Sciences 10(1): 158-161.
Box, G.E.P. and Jenkins, G. 1970. Time Series Analysis, Forecasting and Control, Holden-Day, San Francisco, CA.
Byvatov, E., Fechner, U., Sadowski, J. and Schneider, G.2003. Comparison of Support Vector Machine and Artificial Neural Network Systems for Drug/Nondrug Classification. The Journal of Chemical Information and Computer Scientists 43: 1882-1889.
Chen, K.U. and Wang, C.H. 2007. A hybrid SARIMA and support vector machines in forecasting the production values of the machinery industry in Taiwan. Expert Systems with Applications 32: 254–264.
Dı´az-Robles, L.A., Ortega, J.C., Fu, J.S., Reed, G.D., Chow, J.C., Watson,J.G. and Moncada-Herrera, J.A.2008. A hybrid ARIMA and artificial neural networks model to forecast particulate matter in urban areas: The case of Temuco, Chile. Atmospheric Environment. Atmospheric Environment 42: 8331–8340.
Hamidi, O., Poorolajal., J., Sadeghifar, M., Abbasi,H., Maryanaji, Z., Faridi.H.R. and Tapak, L. 2014. A comparative study of support vector machines and artificial neural networks for predicting precipitation in Iran. Theoretical and Applied Climatology 119(3-4): 723–731.
Kumar Paul, R. and Sinha K.2016. Forecasting crop yield: a comparative assessment of ARIMAX and NARX model. RASHI 1(1):77-85.
Lecerf, R., Ceglar, A., Lopez-Lozano, R., Van Der Velde, M. and Baruth B. 2019. Assessing the information in crop model and meteorological indicators to forecast crop yield over Europe. Agricultural Systems. 168 : 191–202.
Liang, Y.H. 2009. Combining seasonal time series ARIMA method and neural networks with genetic algorithms for predicting the production value of the mechanical industry in Taiwan. Neural Computing & Applications 18: 833–841.
Markham, I.S. and Rakes, T.R. 1998.The e5ect of sample size and variability of data on the comparative performance of arti/cial neural networks and regression. Computers & Operations Research 25: 251–263.
Narasimha Murthy, K. V., Saravana,R. and Vijaya Kumar., K. 2018. Modeling and forecasting rainfall patterns of southwest monsoons in North–East India as a SARIMA process. Meteorology and Atmospheric Physics 130: 99–106.
Peter Zhang, G. 2003. Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50: 159 – 175.
Ruiz-Aguilar, J. J., Turias, I. J., Jimenez-Come, M. J. and Mar Cerban, M. 2014. Hybrid Approaches of support vector regression and SARIMA models to forecast the inspections volume. International Conference of Hybrid Artificial Intelligence Systems 502-514.
Sharma, P.K., Dwivedi, S., Ali, L. and Arora. R.K. 2018. Forecasting Maize Production in India using ARIMA Model. Agro Economist - An International Journal 5(1): 01-06.
Suman, U. and Verma, S. 2016. Autoregressive Integrated Moving Average models for Sugarcane Yield Estimation in Haryana. International Journal of Computer & Mathematical Sciences 5(12): 33-38.
Verma, U., Koehler, W. and Goyal, M. 2012. A study on yield trends of different crops using ARIMA analysis. Environment and Ecology 30(4A): 1459-1463.
Zaynoddin, M., Bonakdari, H., Azari, A., Ebtehaj, I., Gharabaghi, B. and Riahi Madavar, H. 2018. Novel hybrid linear stochastic with non-linear extreme learning machine methods for forecasting monthly rainfall a tropical climate. Journal of Environmental Management 222: 190-206.
_||_