Abstract
Objectives: Our objective is to propose a robust approach to model daily new cases and daily new deaths due to covid-19 infection in Turkey.
Methods: We consider the generalized linear model (GLM) approach for the autoregressive process (AR) with log link for modelling. We study the data between March 11, 2020 that is the date first confirmed case occurred and October 20, 2020. After a month of the first outbreak in Turkey, the first official curfew has been imposed during the weekend. Since then there have been curfews each weekend till June 1st. Hence, we include intervention effects as well as some outlying data points in the model where necessary. We use the data between March 11 and September 15 to build the models, and test the performance on the data from September 16 till October 20. We also study the consistency of the model statistics.
Results: Estimated models fit data quite well. Results reveal that after the first curfew daily new Covid-19 cases decrease 18.5%. As expected, effect of the curfew gets more significant once a month is past, and daily new cases cut down 24.9%. Our approach also gives a robust estimate for the effective reproduction number that is approximately 2 meaning as of October 20, 2020 there is still a risk for an infected person to cause 2 secondary infections despite all the interventions, preventions, and rules.
Conclusion: The GLM approach for AR process with log link produces consistent and robust estimates for the daily new cases and daily new deaths for the data covering almost the first year of the pandemic in Turkey. The proposed approach can also be used to model the cases in other countries.
Acknowledgement
We would like to thank reviewers for their detailed report and comments which had significant impact on the quality of our paper.
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Research funding: None declared.
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Author contribution: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: Authors state no conflict of interest.
References
Agosto, A., and P. Giudici. 2020. “A Poisson Autoregressive Model to Understand Covid-19 Contagion Dynamics.” In DEM Working Papers Series 185. University of Pavia, Department of Economics and Management.10.2139/ssrn.3551626Search in Google Scholar
Ankarali, H., S. Ankarali, H. Caskurlu, Y. Cag, F. Arslan, H. Erdem, and H. Vahaboglu. 2020. “A Statistical Modeling of the Course of Covid-19 (Sars-cov-2) Outbreak: A Comparative Analysis.” Asia-Pacific Journal of Public Health 32 (4): 157–60. https://doi.org/10.1177/1010539520928180.Search in Google Scholar PubMed PubMed Central
Bayyurt, L., and B. Bayyurt. 2020. “Forecasting of Covid-19 Cases and Deaths Using Arima Models.” medRxiv.10.1101/2020.04.17.20069237Search in Google Scholar
Burman, J. P., and M. C. Otto. 1988. “Outliers in Time Series.” In Bureau of the Census Statistical Research Division Report Series CENSUS/SRD/RR-88114. Washington, D.C.: Bureau of the Census Statistical Research Division.Search in Google Scholar
Ceylan, Z. 2020. “Estimation of Covid-19 Prevalence in Italy, Spain, and France.” The Science of the Total Environment 729: 138817. https://doi.org/10.1016/j.scitotenv.2020.138817.Search in Google Scholar PubMed PubMed Central
Dean, C. B., and E. R. Lundy. 2016. Overdispersion, Vol. 1–9. Wiley StatsRef: Statistics Reference Online.10.1002/9781118445112.stat06788.pub2Search in Google Scholar
Fokianos, K., and R. Fried. 2012. “Interventions in Log-Linear Poisson Autoregression.” Statistical Modelling 12: 299–322. https://doi.org/10.1177/1471082x1201200401.Search in Google Scholar
Liboschik, T., K. Fokianos, and R. Fried. 2017. “tscount: An R Package for Analysis of Count Time Series Following Generalized Linear Models.” Journal of Statistical Software 82: 1–51. https://doi.org/10.18637/jss.v082.i05.Search in Google Scholar
Newton, H. J. 2020. Statistics 626: Methods in Time Series Analysis: The Periodogram. https://www.stat.tamu.edu/jnewton/ stat626/.Search in Google Scholar
Ozdinc, M., K. Senel, S. Ozturkcan, and A. Akgul. 2020. “Predicting the Progress of Covid-19: The Case for Turkeys.” Turkiye Klinikleri Journal of Medical Sciences 40 (2): 117–19. https://doi.org/10.5336/medsci.2020-75741.Search in Google Scholar
Peng, L., W. Yang, D. Zhang, C. Zhuge, and L. Hong. 2020. “Epidemic Analysis of Covid-19 in China by Dynamical Modeling.” medRxiv, https://doi.org/10.1101/2020.02.16.20023465.Search in Google Scholar
R Core Team. 2013. R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing. http://www.R-project.org/.Search in Google Scholar
Sahafizadeh, E., and S. Sartoli. 2020. “Estimating the Reproduction Number of Covid-19 in Iran Using Epidemic Modeling.” medRxiv.10.1101/2020.03.20.20038422Search in Google Scholar
Wynants, L., B. Van Calster, G. S. Collins, R. D. Riley, G. Heinze, E. Schuit, M. M. J. Bonten, J. A. A. Damen, T. P. A. Debray, M. De Vos, P. Dhiman, M. C. Haller, M. O. Harhay, L. Henckaerts, N. Kreuzberger, A. Lohmann, K. Luijken, J. Ma, C. L. Andaur Navarro, J. B. Reitsma, J. C. Sergeant, C. Shi, N. Skoetz, L. J. M. Smits, K. I. E. Snell, M. Sperrin, R. Spijker, E. W. Steyerberg, T. Takada, S. M. J. van Kuijk, F. S. van Royen, C. Wallisch, L. Hooft, K. G. M. Moons, and M. van Smeden. 2020. “Prediction Models for Diagnosis and Prognosis of Covid-19: Systematic Review and Critical Appraisal.” BMJ: 369. https://doi.org/10.1136/bmj.m1328.Search in Google Scholar PubMed PubMed Central
Yonar, H., A. Yonar, M. A. Tekindal, and M. Tekindal. 2020. “Modeling and Forecasting for the Number of Cases of the Covid-19 Pandemic with the Curve Estimation Models, the Box-Jenkins and Exponential Smoothing Methods.” Eurasian Journal of Medicine and Oncology 4: 160–5.10.14744/ejmo.2020.28273Search in Google Scholar
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Articles in the same Issue
- Research Articles
- Confidence limits for the averted infections ratio estimated via the counterfactual placebo incidence rate
- Sample size calculation for active-arm trial with counterfactual incidence based on recency assay
- Principal surrogates in context of high vaccine efficacy
- Evaluating the power of the causal impact method in observational studies of HCV treatment as prevention
- GLM based auto-regressive process to model Covid-19 pandemic in Turkey
- Contact network uncertainty in individual level models of infectious disease transmission
Articles in the same Issue
- Research Articles
- Confidence limits for the averted infections ratio estimated via the counterfactual placebo incidence rate
- Sample size calculation for active-arm trial with counterfactual incidence based on recency assay
- Principal surrogates in context of high vaccine efficacy
- Evaluating the power of the causal impact method in observational studies of HCV treatment as prevention
- GLM based auto-regressive process to model Covid-19 pandemic in Turkey
- Contact network uncertainty in individual level models of infectious disease transmission