INTERPRETING THE FUTURE OF COVID-19 WITH STATISTICAL FORECASTING MODELS

Main Article Content

Muhammad Faisal Fahim
Tayyab Raza Fraz
Ali Asghar Mirjat
Anzila Meer
Muhammad Gulzada
Hasnain Pasha
Amjad Ali
Albert John

Keywords

Statistical Models, ForecastingForecasting, ARIMA model, SETAR model, ARCH model, GARCH model, Sars-Cov2.

Abstract

Sars-Cov2 is a deadly virus effected millions of peoples globally. Time series forecasting helps us to identify and plan things properly related to any particular disease or viruses. This is daily data of Covid-19 and researcher intended to find out best statistical model.


Objective: To evaluate best statistical model which forecast covid-19 data related to new cases in subcontinents of Pakistan.


Methods: This was an analytical observational design with daily data of new cases of COVID-19 among sub-continents of Pakistan. Data was imported from world health organization website. In this study statistical models applied were AR, MA, ARIMA, SETAR model by using threshold regression, ARCH effect, Simple GARCH model and Component GARCH model. Forecasting models used were AIC, MAPE, MAE and RMSE. Eviews version 12.0 used for data analysis.


Results: A total of 1146 observations for each country were taken for analysis. AR and MA model observed that Azerbaijan was significant at (1,0,1) model with AIC= 14.55, SBIC=14.57, HQC=14.56 and adjusted R2=0.911. Bangladesh was significant at (1,0,2) model with AIC=15.55, SBIC=15.57, HQC=15.56 and adjusted R2=0.958. Similarly, China was significant at (1,0,2) model, India was significant at (1,0,1) model, Iran found significant at (1,0,2) model. However, Pakistan, Sri Lanka and Kazakhstan were statistically significant at (1,0,1) model respectively.


Conclusion: These comprehensive long-term results showed best forecast models among different statistical models like AR, MA, ARIMA, SETAR, GARCH and component GARCH models with statistically significant findings. ARIMA and GARCH models showed best fit among all models to forecast pandemic new cases. Due to a globally controlled environment WHO announced that after 8th May 2023 global health emergency was ended and no further cases was reported therefore, we have reported the data before the ending emergency by WHO.

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References

1. WHO. Coronavirus disease (COVID-19). 2024; Available from: https://www.who.int/health-topics/coronavirus#tab=tab_1.
2. Katris, C., A time series-based statistical approach for outbreak spread forecasting: Application of COVID-19 in Greece. Expert Systems with Applications, 2021. 166: p. 114077.
3. Zhihao, L., et al. RESEARCH ON COVID-19 EPIDEMIC BASED ON ARIMA MODEL. in Journal of Physics: Conference Series. 2021. IOP Publishing.
4. Al-Chalabi, H., Y.K. Al-Douri, and J. Lundberg. Time Series Forecasting using ARIMA Model: A Case Study of Mining Face Drilling Rig. in 12th International Conference on Advanced Engineering Computing and Applications in Sciences (ADVCOMP 2018), Athens, Greece, November 18-22, 2018. 2018. International Academy, Research and Industry Association (IARIA).
5. Ospina, R., et al., An overview of forecast analysis with ARIMA models during the COVID-19 pandemic: Methodology and case study in Brazil. Mathematics, 2023. 11(14): p. 3069.
6. Anwar, M.Y., et al., Time series analysis of malaria in Afghanistan: using ARIMA models to predict future trends in incidence. Malaria journal, 2016. 15(1): p. 1-10.
7. He, Z. and H. Tao, Epidemiology and ARIMA model of positive-rate of influenza viruses among children in Wuhan, China: A nine-year retrospective study. International Journal of Infectious Diseases, 2018. 74: p. 61-70.
8. Shoko, C. and P. Njuho, ARIMA model in predicting of COVID-19 epidemic for the Southern Africa region. African Journal of Infectious Diseases, 2023. 17(1): p. 1-9.
9. Kim, M., et al., Methods, challenges, and practical issues of COVID-19 projection: A data science perspective. Journal of Data Science, 2021. 19(2).
10. Ghanim Al-Ani, B., Statistical modeling of the novel COVID-19 epidemic in Iraq. Epidemiologic Methods, 2021. 10(s1): p. 20200025.
11. Shen, C.Y., Logistic growth modelling of COVID-19 proliferation in China and its international implications. International Journal of Infectious Diseases, 2020. 96: p. 582-589.
12. Majumder, M.S. and K.D. Mandl, Early transmissibility assessment of a novel coronavirus in Wuhan, China. Social Science Research Network, 2020.
13. Zhao, S. and H. Chen, Modeling the epidemic dynamics and control of COVID-19 outbreak in China. Quantitative biology, 2020. 8: p. 11-19.
14. Roosa, K., et al., Short-term forecasts of the COVID-19 epidemic in Guangdong and Zhejiang, China: February 13–23, 2020. Journal of clinical medicine, 2020. 9(2): p. 596.
15. Moreau, V.H., Forecast predictions for the COVID-19 pandemic in Brazil by statistical modeling using the Weibull distribution for daily new cases and deaths. Brazilian Journal of Microbiology, 2020. 51(3): p. 1109-1115.
16. Zuo, M., et al., Comparison of COVID-19 pandemic dynamics in Asian countries with statistical modeling. Computational and mathematical methods in medicine, 2020. 2020.
17. Liu, X., et al., Modeling the survival times of the COVID-19 patients with a new statistical model: A case study from China. PloS one, 2021. 16(7): p. e0254999.
18. Yousaf, M., et al., Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan. Chaos, Solitons & Fractals, 2020. 138: p. 109926.
19. Khan, F., A. Saeed, and S. Ali, Modelling and forecasting of new cases, deaths and recover cases of COVID-19 by using Vector Autoregressive model in Pakistan. Chaos, solitons & fractals, 2020. 140: p. 110189.
20. Mansour, M.M., et al., Modeling the COVID-19 pandemic dynamics in Egypt and Saudi Arabia. Mathematics, 2021. 9(8): p. 827.
21. Konane, V.F. and A. Traore, Statistical modeling and forecast of the corona-virus disease (COVID-19) in Burkina Faso. International Journal of Statistics and Probability, 2020. 9(6): p. 76.
22. Sharma, V.K. and U. Nigam, Modeling and forecasting of COVID-19 growth curve in India. Transactions of the Indian National Academy of Engineering, 2020. 5(4): p. 697-710.
23. Hwang, E. and S. Yu, Modeling and forecasting the COVID-19 pandemic with heterogeneous autoregression approaches: South Korea. Results in Physics, 2021. 29: p. 104631.
24. Khan, M., et al., COVID-19 Pandemic & Financial Market Volatility; Evidence from GARCH Models. Journal of Risk and Financial Management, 2023. 16(1): p. 50.
25. Elhini, M. and R. Hammam, The impact of COVID-19 on the standard & poor 500 index sectors: A multivariate generalized autoregressive conditional heteroscedasticity model. Journal of Chinese Economic and Foreign Trade Studies, 2021. 14(1): p. 18-43.
26. Adenomon, M.O., B. Maijamaa, and D.O. John, The effects of Covid-19 outbreak on the Nigerian Stock Exchange performance: Evidence from GARCH Models. Journal of Statistical Modeling & Analytics (JOSMA), 2022. 4(1).
27. Zeroual, A., et al., Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study. Chaos, solitons & fractals, 2020. 140: p. 110121.
28. Dairi, A., et al., Comparative study of machine learning methods for COVID-19 transmission forecasting. Journal of Biomedical Informatics, 2021. 118: p. 103791.
29. Martin-Moreno, J.M., et al., Predictive models for forecasting public health scenarios: practical experiences applied during the first wave of the COVID-19 pandemic. International Journal of Environmental Research and Public Health, 2022. 19(9): p. 5546.
30. Morshed, N. and M.R. Hossain, Causality analysis of the determinants of FDI in Bangladesh: fresh evidence from VAR, VECM and Granger causality approach. SN business & economics, 2022. 2(7): p. 64.
31. Jayadeva, S., Systems in the subcontinent: Data, power, and the ethics of medical machine learning in India. 2021.
32. Arenas, A., et al., Modeling the spatiotemporal epidemic spreading of COVID-19 and the impact of mobility and social distancing interventions. Physical Review X, 2020. 10(4): p. 041055.
33. Tkachenko, A.V., et al., Persistent heterogeneity not short-term overdispersion determines herd immunity to COVID-19. medRxiv, 2020: p. 2020.07. 26.20162420.
34. Wang, X., et al., The spatiotemporal evolution of COVID-19 in China and its impact on urban economic resilience. China Economic Review, 2022. 74: p. 101806.
35. Alabdulrazzaq, H., et al., On the accuracy of ARIMA based prediction of COVID-19 spread. Results in Physics, 2021. 27: p. 104509.
36. Khan, F.M. and R. Gupta, ARIMA and NAR based prediction model for time series analysis of COVID-19 cases in India. Journal of Safety Science and Resilience, 2020. 1(1): p. 12-18.
37. Ding, G., et al., Brief Analysis of the ARIMA model on the COVID-19 in Italy. medRxiv, 2020: p. 2020.04. 08.20058636.
38. Ala’raj, M., M. Majdalawieh, and N. Nizamuddin, Modeling and forecasting of COVID-19 using a hybrid dynamic model based on SEIRD with ARIMA corrections. Infectious Disease Modelling, 2021. 6: p. 98-111.

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