Improving Covid-19 Forecasts in Malaysia: A Hybrid SARIMAX-SARIMA Model with Application to State Elections and Cultural Festivals

Authors

  • Wan Anis Farhah Wan Amir School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Gelugor, Pulau Pinang, Malaysia
  • Md Yushalify Misro School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Gelugor, Pulau Pinang, Malaysia

DOI:

https://doi.org/10.11113/mjfas.v20n6.3606

Keywords:

Covid-19, time series forecasting, SARIMAX model, confidence intervals.

Abstract

Since the onset of the Covid-19 pandemic, numerous challenges have emerged, including ensuring an adequate supply of personal protective equipment, evaluating the sufficiency of the healthcare workforce, and determining safety measures to sustain businesses and the economy. Consequently, there is a critical need for a computationally competent and realistic model to monitor current caseloads and forecast future cases, thereby enhancing public health awareness, preparation, and response. However, many forecast models currently in use have wide prediction intervals, diminishing their effectiveness as forecasting tools. Thus, this study aims to analyse the trend of Covid-19 cases in Malaysia and develop a forecast model that provides appropriate limits to improve prediction accuracy. This study relied on secondary data of daily Covid-19 cases in Malaysia provided by Ministry of Health from April 12, 2021, to April 24, 2022. Future Covid-19 incidence was predicted using simple, double and Holts-Winter exponential smoothing and SARIMAX models. SARIMAX (0, 1, 1) (1, 0, 2)7 was identified as the best model, exhibiting the lowest error values for forecasting cases. However, the results indicated that SARIMAX's prediction intervals were broad. To address this issue, a new model called hybrid SARIMAX-SARIMA was proposed where the orders from the best SARIMAX model found by using auto.arima() function are extracted and used to specify the order for a SARIMA model. The resulting combined model was then utilized to predict future trends in daily Covid-19 cases and evaluation during cultural festivals and state elections. It was observed that the proposed model outperformed others, demonstrating lower error rates and narrower confidence intervals for future predictions.

References

Liu, Y. C., Kuo, R. L., & Shih, S. R. (2020). COVID-19: The first documented coronavirus pandemic in history. Biomedical Journal, 43(4), 328–333. https://doi.org/10.1016/j.bj.2020.04.007

Tracking COVID-19’s global spread. (2022, April 3). CNN. Accessed April 20, 2022. https://edition.cnn.com/interactive/2020/health/coronavirus-maps-and-cases/

CORONAVIRUS – The situation in Malaysia | Flanders Trade. (2022, August 10). Flanders Trade. Accessed April 24, 2022. https://www.flandersinvestmentandtrade.com/export/nieuws/coronavirus-%E2%80%93-situation-malaysia

Zhao, H., Merchant, N., McNulty, A., Radcliff, T. A., Côté, M. J., Fischer, R., Sang, H., & Ory, M. G. (2021). COVID-19: Short term prediction model using daily incidence data. PloS One, 16(4), e0250110. https://doi.org/10.1371/journal.pone.0250110

Tandon, H., Ranjan, P., Chakraborty, T., & Suhag, V. (2022). Coronavirus (COVID-19): ARIMA-based time-series analysis to forecast near future and the effect of school reopening in India. Journal of Health Management, 24(3), 373–388. https://doi.org/10.1177/09720634221109087

Chakraborty, T., & Ghosh, I. (2020). Real-time forecasts and risk assessment of novel coronavirus (COVID-19) cases: A data-driven analysis. Chaos, Solitons & Fractals, 135(June), 109850. https://doi.org/10.1016/j.chaos.2020.109850

Al-Turaiki, I., Almutlaq, F., Alrasheed, H., & Alballa, N. (2021). Empirical evaluation of alternative time-series models for COVID-19 forecasting in Saudi Arabia. International Journal of Environmental Research and Public Health, 18(16), 8660. https://doi.org/10.3390/ijerph18168660

Singh, S., Sundram, B. M., Rajendran, K., Law, K. B., Aris, T., Mohd Ibrahim, H., Dass, S. C., & Gill, B. S. (2020). Forecasting daily confirmed COVID-19 cases in Malaysia using ARIMA models. Journal of Infection in Developing Countries, 14(9), 971–976. https://doi.org/10.3855/jidc.13116

Tan, C. V., Singh, S., Lai, C. H., Md Zamri, A. S. S., Dass, S. C., Aris, T., Mohd Ibrahim, H., & Gill, B. S. (2022). Forecasting COVID-19 case trends using SARIMA models during the third wave of COVID-19 in Malaysia. International Journal of Environmental Research and Public Health, 19(3), 1504. https://doi.org/10.3390/ijerph19031504

Purwandari, T., Zahroh, S., Hidayat, Y., Sukonob, S., Mamat, M., & Saputra, J. (2022). Forecasting model of COVID-19 pandemic in Malaysia: An application of time series approach using neural network. Decision Science Letters, 11(1), 35–42. https://doi.org/10.5267/j.dsl.2021.10.001

Christoffersen, P. F. (1998). Evaluating interval forecasts. International Economic Review, 39(4), 841. https://doi.org/10.2307/2527341

Chatfield, C. (2001). Prediction intervals for time-series forecasting. In International series in management science/operations research (pp. 475–494). https://doi.org/10.1007/978-0-306-47630-3_21

Zhang, Y., Yang, H., Cui, H., & Chen, Q. (2019). Comparison of the ability of ARIMA, WNN, and SVM models for drought forecasting in the Sanjiang Plain, China. Natural Resources Research, 29(2), 1447–1464. https://doi.org/10.1007/s11053-019-09512-6

Your guide to COVID-19 vaccinations in Malaysia - Homage Malaysia. (2022). Homage. Accessed November 25, 2022. https://www.homage.com.my/resources/covid-19-vaccine-malaysia/

Malaysia to transition to endemic phase of COVID-19 on April 1, says PM. (2022, March 22). The Edge Malaysia. Accessed March 24, 2022. https://theedgemalaysia.com/article/malaysia-enter-endemic-phase-april-1-says-pm

Brown, R. G. (1959). Statistical forecasting for inventory control. McGraw-Hill.

Bastos, J. (2019). Forecasting the capacity of mobile networks. Telecommunication Systems, 72(2), 231–242. https://doi.org/10.1007/s11235-019-00556-w

Hyndman, R. J., & Athanasopoulos, G. (2018). Forecasting: Principles and practice (2nd ed.). OTexts. Accessed March 24, 2022. OTexts.com/fpp2

Ostertagová, E., & Ostertag, O. (2012). Forecasting using simple exponential smoothing method. Acta Electrotechnica Et Informatica, 12(3). https://doi.org/10.2478/v10198-012-0034-2

Arikan, B. B., Jiechen, L., Sabbah, I. I. D., Ewees, A. A., Homsi, R., & Sulaiman, S. O. (2021). Dew point time series forecasting at the North Dakota. Knowledge-Based Engineering and Sciences, 2(2), 24–34. https://doi.org/10.51526/kbes.2021.2.2.24-34

Jain, G., & Mallick, B. (2017). A study of time series models ARIMA and ETS. International Journal of Modern Education and Computer Science, 9(4), 57–63. https://doi.org/10.5815/ijmecs.2017.04.07

Ulyah, S. M., Mardianto, M. F. F., & Sediono. (2019). Comparing the performance of seasonal ARIMAX model and nonparametric regression model in predicting claim reserve of education insurance. Journal of Physics: Conference Series, 1397(1), 012074. https://doi.org/10.1088/1742-6596/1397/1/012074

Azadeh, A., Saberi, M., Gitiforouz, A., & Saberi, Z. (2009). A hybrid simulation-adaptive network-based fuzzy inference system for improvement of electricity consumption estimation. Expert Systems with Applications, 36(8), 11108–11117. https://doi.org/10.1016/j.eswa.2009.02.081

Box, G. E. P., & Jenkins, G. M. (1970). Time series analysis: Forecasting and control. Holden-Day.

Lee, B. H. (2022). Bootstrap prediction intervals of temporal disaggregation. Stats, 5(1), 190–202. https://doi.org/10.3390/stats5010013

Hyndman, R. J., & Khandakar, Y. (2008). Automatic time series forecasting: The forecast package for R. DOAJ. https://doaj.org/article/9b35f41cb88047e78e3d8edab6cd8d99

Tiwari, A. (2021, December 15). Build evaluation framework for forecast models - Towards Data Science. Medium. Accessed April 10, 2022. https://towardsdatascience.com/build-evaluation-framework-for-forecast-models-fbc1bd775edd

Hodson, T. O. (2022). Root-mean-square error (RMSE) or mean absolute error (MAE): When to use them or not. Geoscientific Model Development, 15(14), 5481–5487. https://doi.org/10.5194/gmd-15-5481-2022

Christie, D., & Neill, S. P. (2022). Measuring and observing the ocean renewable energy resource. In Elsevier eBooks (pp. 149–175). https://doi.org/10.1016/b978-0-12-819727-1.00083-2

Swamidass, P. M. (2000). Encyclopedia of production and manufacturing management. Springer Science & Business Media.

McCrae, M., Lin, Y. X., Pavlik, D., & Gulati, C. (2002). Can cointegration-based forecasting outperform univariate models? An application to Asian exchange rates. Journal of Forecasting, 21(5), 355–380. https://doi.org/10.1002/for.824

Toharudin, T., Pontoh, R. S., Caraka, R. E., Zahroh, S., Kendogo, P., Sijabat, N., Puspita Sari, M. D., Gio, P. U., Basyuni, M., & Pardamean, B. (2021). National vaccination and local intervention impacts on COVID-19 cases. Sustainability, 13(15), 8282. https://doi.org/10.3390/su13158282

Chang, P. C., Wang, Y. W., & Liu, C. H. (2007). The development of a weighted evolving fuzzy neural network for PCB sales forecasting. Expert Systems with Applications, 32(1), 86–96. https://doi.org/10.1016/j.eswa.2005.11.021

Ishak, I., Othman, N. S., & Harun, N. H. (2022). Prediction of the COVID-19 pandemic’s impact on economy using ARIMA model. The Journal of Asian Finance, Economics, and Business, 9(8), 1355–1363. https://doi.org/10.13106/jafeb.2022.vol9.no8.1355

Anderson, A. (2015). Statistics for big data for dummies. John Wiley & Sons.

Witherspoon, D., May, E., McDonald, A., Boggs, S., & Bámaca‐Colbert, M. Y. (2019). Parenting within residential neighborhoods: A pluralistic approach with African American and Latino families at the center. In Advances in child development and behavior (pp. 235–279). https://doi.org/10.1016/bs.acdb.2019.05.004

World Health Organization (WHO). (2021, December 23). Staying safe over the holiday season. World Health Organization. Accessed April 20, 2022. https://www.who.int/news-room/commentaries/detail/staying-safe-over-the-holiday-season

Lim, J. T., Maung, K., Tan, S. T., Ong, S. E., Lim, J. M., Koo, J. R., Sun, H., et al. (2021). Estimating direct and spill-over impacts of political elections on COVID-19 transmission using synthetic control methods. PLOS Computational Biology, 17(5), e1008959. https://doi.org/10.1371/journal.pcbi.1008959

Downloads

Published

16-12-2024