Climatic Time Series Forecasting by using the Hybrid TF-SMO Model

Authors

  • Najlaa Khalid Ahmed Department of Statistics, College of Administration and Economics, University of Baghdad, Baghdad, Iraq. Author
  • Sabah Manfi Redha Department of Statistics, College of Administration and Economics, University of Baghdad, Baghdad, Iraq Author

DOI:

https://doi.org/10.62933/mk1bpd71

Keywords:

Time series forecasting , TF-SMO model, Hybrid TF-SMO , Maximum , minimum and evaporation temperatures , Spider Monkey Optimization (SMO)

Abstract

Forecasting is considered an estimation of future values based on past data, and its importance lies in future planning. Necessity often calls for finding a model that logically describes the dynamic relationships connecting a single output series to one or more input series. In this research, daily time series data for several years of maximum and minimum temperatures were used as input variables, and evaporation as a response variable for the Baghdad governorate during the period. (2012-2022). Environmental and climatic data often suffer from problems such as heterogeneity and unreliability, which are results of the non-linearity of that type of data. It is possible to use the Transfer function model, denoted by the symbol TF, to model the causal relationship between the output variable and one or more input variables after synchronizing the data temporally to achieve its homogeneity. The aim of this research is to improve the forecasting of time series data, and one of the proposed methods for this is the hybrid model combining the TF model and the Spider Monkey Optimization (SMO) Algorithm, referred to as the TF-SMO hybrid model. The outputs of the TF model are utilized as inputs in the spider monkey algorithm to integrate linear and nonlinear hybrid effects for data processing, modeling, and improving forecasting accuracy. To improve modeling and forecasting results, the (SMO) Algorithm was used as a method for optimizing the modeling of non-linear data patterns and enhancing forecasting. The hybrid model TF-SMO was proposed, which is a hybrid model of the SMO algorithm as an optimization method with the TF model. As for the issue of data heterogeneity, the Time Stratified (TS) method was used to temporally stratify the data into hot and cold seasons. Where the data for the hot and cold seasons for maximum and minimum temperatures and evaporation were divided into two groups: the first group for the training period and the second group for the testing period, approximately 65% for training and approximately 35% for testing .In this research ,data similar to real data was generated with the same sample size for the hot and cold seasons for the transfer function. The results indicate that the hybrid model achieves better accuracy compared to the TF model. Therefore, it is possible to use the TF-SMO hybrid model structure for similar accuracy in forecasting climatic time series data.

References

[1] Sentas, A., & Psilovikos, A. (2022). Comparison of ARIMA and transfer function (TF) models in water temperature simulation in dam—lake Thesaurus, eastern Macedonia, Greece. In Environmental Hydraulics. Volume 2 (pp. 929-934). CRC Press.‏

[2] Cho, M. Y., Hwang, J. C., & Chen, C. S. (1995, November). Customer short term load forecasting by using ARIMA transfer function model. In Proceedings 1995 International Conference on Energy Management and Power Delivery EMPD'95 (Vol. 1, pp. 317-322). IEEE.‏

[3] Yang, J. F., Zhai, Y. J., Xu, D. P., & Han, P. (2007, August). SMO algorithm applied in time series model building and forecast. In 2007 International Conference on Machine Learning and Cybernetics (Vol. 4, pp. 2395-2400). IEEE.‏

[4] Khair, A. F., Awang, M. K., Zakaraia, Z. A., & Mazlan, M. (2017). Daily streamflow prediction on time series forecasting. Journal of Theoretical and Applied Information Technology, 95(4), 804.‏

[5] Ragab, M. (2022). Spider Monkey Optimization with Statistical Analysis for Robust Rainfall Prediction. Computers, Materials & Continua, 72(2).‏

[6] Malig, B. J., Pearson, D. L., Chang, Y. B., Broadwin, R., Basu, R., Green, R. S., & Ostro, B. (2016). A time-stratified case-crossover study of ambient ozone exposure and emergency department visits for specific respiratory diagnoses in California (2005–2008). Environmental health perspectives, 124(6), 745-753.‏

[7]. ALbazzaz, Z. M., & Shukur, O. B. (2024, June). Using LSTM Network Based on Logistic Regression Model for Classifying Solar Radiation Time Series. In International Conference on Explainable Artificial Intelligence in the Digital Sustainability (pp. 375-388). Cham: Springer Nature Switzerland.‏

[8] Box, G., Jenkins, G.., Reinsel, G., & Ljung G. (2016). Time series analysis: forecasting and control. John Wiley & Sons,Inc.Hoboken,New Jersey.

[9] liu,L.M.,(2006),"Time series analysis and forecasting ",2nd ed.,Scientific Computing Associates Crop.,Illinois,USA.

[10] Jenkins, G. M., & Box, G. E. (1976). Time series analysis: forecasting and control.

[11] Wei, W. W. (2006). Time series analysis: univariate and multivariate. Methods. Boston, MA: Pearson Addison Wesley

[12]Yaffee, R. A., & McGee, M. (2000). An introduction to time series analysis and forecasting: with applications of SAS® and SPSS®. Elsevier.‏

‏[13]Bousnane, S. (2019). Parallelization of Spider Monkey Optimization (SMO) algorithm (Doctoral dissertation, Ministry of Higher Education).‏

[14] Sharma, H., Hazrati, G., & Bansal, J. C. (2019). Spider monkey optimization algorithm. Evolutionary and swarm intelligence algorithms, 43-59.‏

[15] Shukura, O. B. (2020). Using the MLR and neuro-fuzzy methods to forecast air pollution datasets. Int J Adv Sci Eng Inform Technol, 10(4), 1457-1464.‏

Downloads

Published

2025-05-11

Issue

Section

Original Articles

How to Cite

Climatic Time Series Forecasting by using the Hybrid TF-SMO Model. (2025). Iraqi Statisticians Journal, 2(special issue for ICSA2025), 126-136. https://doi.org/10.62933/mk1bpd71