Dynamic compliance in a pandemic: A time-varying causality analysis of vaccination, mobility, and policy stringency during COVID-19
Most evaluations of the effectiveness of COVID-19 policies treat public compliance and policy stringency as static. Yet compliance is dynamic, shaped by evolving risk perception, trust in institutions, and changing pandemic conditions. This study investigates how the effectiveness of prevention campaigns and government-imposed stringency measures fluctuated over time, depending on actual mobility behavior across six countries. Using daily data from January 2021 to April 2022 across France, Germany, Italy, Japan, South Korea, and the United Kingdom, a time-varying Granger causality model was applied to capture the evolving relationships between vaccination rates, stringency measures, population mobility, COVID-19 case numbers, and mortality. Actual mobility data were integrated with the Oxford COVID-19 Government Response Stringency Index to account for de jure policy versus de facto behavior. Our analysis highlights that vaccination effectiveness in reducing cases and deaths was most pronounced when coupled with reduced mobility. Stringency measures alone provided temporary mitigation but were less effective than widespread vaccination. Notably, Japan exhibited high compliance and strong vaccination outcomes despite relatively lenient formal restrictions, suggesting that social norms and civic adherence may have contributed to these outcomes. Time-varying causality revealed that the impact of both policy and vaccination was not uniform over time but shifted with waves and public sentiment. Our findings underscore the critical role of dynamic public compliance in shaping pandemic outcomes. Beyond policy severity, trust, behavioral norms, and vaccine coverage may jointly influence health outcomes. Real-time causal modeling can help policymakers detect when enforcement or communication strategies need adjustment during health crises.
Allen, D. W. (2022). Covid-19 lockdown cost/benefits: A critical assessment of the literature. International Journal of the Economics of Business, 29(1), 1–32. https://doi.org/10.1080/13571516.2021.1976051
Ambikapathy, B., & Krishnamurthy, K. (2020). Mathematical modelling to assess the impact of lockdown on COVID-19 transmission in India: Model development and validation. JMIR Public Health and Surveillance, 6(2), e19368. https://doi.org/10.2196/19368
Barber, R. M., Sorensen, R. J. D., Pigott, D. M., Bisignano, C., Carter, A., Amlag, J. O., Collins, J. K., Abbafati, C., Adolph, C., Allorant, A., Aravkin, A. Y., Bang-Jensen, B. L., Castro, E., Chakrabarti, S., Cogen, R. M., Combs, E., Comfort, H., Cooperrider, K., Dai, X., et al. (2022). Estimating global, regional, and national daily and cumulative infections with SARS-CoV-2 through Nov 14, 2021: a statistical analysis. The Lancet, 399(10344), 2351–2380. https://doi.org/10.1016/s0140-6736(22)00484-6
Baum, C. F., Hurn, S., & Otero, J. (2022). Testing for time-varying Granger causality. The Stata Journal: Promoting Communications on Statistics and Stata, 22(2), 355–378. https://doi.org/10.1177/1536867x221106403
Bikbov, B., & Bikbov, A. (2021). Maximum incubation period for COVID-19 infection: do we need to rethink the 14-day quarantine policy? Travel Medicine and Infectious Disease, 40, 101976. https://doi.org/10.1016/j.tmaid.2021.101976
Booth, A., Reed, A. B., Ponzo, S., Yassaee, A., Aral, M., Plans, D., Labrique, A., & Mohan, D. (2021). Population risk factors for severe disease and mortality in COVID-19: A global systematic review and meta-analysis. PLOS ONE, 16(3), e0247461. https://doi.org/10.1371/journal.pone.0247461
Cekic, S., Grandjean, D., & Renaud, O. (2018). Time, frequency, and time‐varying Granger‐causality measures in neuroscience. Statistics in Medicine, 37(11), 1910–1931. https://doi.org/10.1002/sim.7621
Chan, H. Y., Cheung, K. K. C., & Erduran, S. (2023). Science communication in the media and human mobility during the COVID-19 pandemic: a time series and content analysis. Public Health, 218, 106–113. https://doi.org/10.1016/j.puhe.2023.03.001
Chung, Y. S., Lam, C. Y., Tan, P. H., Tsang, H. F., & Wong, S. C. C. (2024). Comprehensive review of COVID-19: epidemiology, pathogenesis, advancement in diagnostic and detection techniques, and post-pandemic treatment strategies. International Journal of Molecular Sciences, 25(15), 8155. https://doi.org/10.3390/ijms25158155
Dong, E., Ratcliff, J., Goyea, T. D., Katz, A., Lau, R., Ng, T. K., Garcia, B., Bolt, E., Prata, S., Zhang, D., Murray, R. C., Blake, M. R., Du, H., Ganjkhanloo, F., Ahmadi, F., Williams, J., Choudhury, S., & Gardner, L. M. (2022). The Johns Hopkins University Center for Systems Science and Engineering COVID-19 Dashboard: data collection process, challenges faced, and lessons learned. The Lancet Infectious Diseases, 22(12), e370–e376. https://doi.org/10.1016/s1473-3099(22)00434-0
Eco, U. (2016). At Shrimp¡¯s Step: Hot Wars and Media Populism [A Passo Di Gambero. Guerre Calde E Populismo Mediatico]. La nave di Teseo. [In Italian]. https://www.hoepli.it/libro/a-passo-di-gambero/9788893440189.html
Ferguson, N. M., Laydon, D., Nedjati-Gilani, G., Imai, N., Ainslie, A., Baguelin, M., Bhatia, S., Boonyasiri, A., Cucunubá, Z., Cuomo-Dannenburg, G., Dighe, A., Dorigatti, I., Fu, H., Gaythorpe, K., Green, W., Hamlet, A., Hinsley, W., Okell, L. C., van Elsland, S., et al. (2020). Report 9: Impact of non-pharmaceutical interventions (NPIs) to reduce COVID19 mortality and healthcare demand. Imperial College London. doi:10.25561/77482
García-García, D., Vigo, M. I., Fonfría, E. S., Herrador, Z., Navarro, M., & Bordehore, C. (2021). Retrospective methodology to estimate daily infections from deaths (REMEDID) in COVID-19: The Spain case study. Scientific Reports, 11(1). https://doi.org/10.1038/s41598-021-90051-7
González-Leonardo, M., Rowe, F., & Fresolone-Caparrós, A. (2022). Rural revival? The rise in internal migration to rural areas during the COVID-19 pandemic. Who moved and Where?. Journal of Rural Studies, 96, 332–342. https://doi.org/10.1016/j.jrurstud.2022.11.006
Google. (2022). COVID-19 Community Mobility Reports. https://www.google.com/covid19/mobility/
Haider, N., Hasan, M. N., Guitian, J., Khan, R. A., McCoy, D., Ntoumi, F., Dar, O., Ansumana, R., Uddin, Md. J., Zumla, A., & Kock, R. A. (2023). The disproportionate case–fatality ratio of COVID-19 between countries with the highest vaccination rates and the rest of the world. IJID Regions, 6, 159–166. https://doi.org/10.1016/j.ijregi.2023.01.011
Hale, T., Angrist, N., Goldszmidt, R., Kira, B., Petherick, A., Phillips, T., Webster, S., Cameron-Blake, E., Hallas, L., Majumdar, S., & Tatlow, H. (2021). A global panel database of pandemic policies (Oxford COVID-19 Government Response Tracker). Nature Human Behaviour, 5(4), 529–538. https://doi.org/10.1038/s41562-021-01079-8
Hale, T., Angrist, N., Hale, A. J., Kira, B., Majumdar, S., Petherick, A., Phillips, T., Sridhar, D., Thompson, R. N., Webster, S., & Zhang, Y. (2021). Government responses and COVID-19 deaths: Global evidence across multiple pandemic waves. PloS One, 16(7), e0253116. https://doi.org/10.1371/journal.pone.0253116
Herby, J., Jonung, L., & Hanke, S. H. (2023). A Systematic Literature Review and Meta-Analysis of the Effects of Lockdowns on COVID-19 Mortality II. openRxiv. https://doi.org/10.1101/2023.08.30.23294845
Hsiang, S., Allen, D., Annan-Phan, S., Bell, K., Bolliger, I., Chong, T., Druckenmiller, H., Huang, L. Y., Hultgren, A., Krasovich, E., Lau, P., Lee, J., Rolf, E., Tseng, J., & Wu, T. (2020). Publisher Correction: The effect of large-scale anti-contagion policies on the COVID-19 pandemic. Nature, 585(7824), E7–E7. https://doi.org/10.1038/s41586-020-2691-0
Islam, N., Sharp, S. J., Chowell, G., Shabnam, S., Kawachi, I., Lacey, B., Massaro, J. M., D’Agostino, R. B., Sr, & White, M. (2020). Physical distancing interventions and incidence of coronavirus disease 2019: natural experiment in 149 countries. BMJ, m2743. https://doi.org/10.1136/bmj.m2743
Johns Hopkins University, COVID-19 Data Repository. Available at: https://github.com/sfu-db/covid19-datasets/blob/master/datasets-details/john_hopkins.md (15 June 2022, date last accessed)
Lavezzo, E., Franchin, E., Ciavarella, C., Cuomo-Dannenburg, G., Barzon, L., Del Vecchio, C., Rossi, L., Manganelli, R., Loregian, A., Navarin, N., Abate, D., Sciro, M., Merigliano, S., De Canale, E., Vanuzzo, M. C., Besutti, V., Saluzzo, F., Onelia, F., Pacenti, M., et al. (2021). Author Correction: Suppression of a SARS-CoV-2 outbreak in the Italian municipality of Vo’. Nature, 590(7844), E11–E11. https://doi.org/10.1038/s41586-020-2956-7
Ma, Q., Liu, J., Liu, Q., Kang, L., Liu, R., Jing, W., Wu, Y., & Liu, M. (2021). Global Percentage of Asymptomatic SARS-CoV-2 Infections Among the Tested Population and Individuals With Confirmed COVID-19 Diagnosis. JAMA Network Open, 4(12), e2137257. https://doi.org/10.1001/jamanetworkopen.2021.37257
McAloon, C., Collins, Á., Hunt, K., Barber, A., Byrne, A. W., Butler, F., Casey, M., Griffin, J., Lane, E., McEvoy, D., Wall, P., Green, M., O’Grady, L., & More, S. J. (2020). Incubation period of COVID-19: A rapid systematic review and meta-analysis of observational research. BMJ Open, 10(8), e039652. https://doi.org/10.1136/bmjopen-2020-039652
Murray, M. P. (1994). A Drunk and Her Dog: An Illustration of Cointegration and Error Correction. The American Statistician, 48(1), 37–39. https://doi.org/10.1080/00031305.1994.10476017
Necesito, I. V., Velasco, J. M. S., Jung, J., Bae, Y. H., Lee, J. H., Kim, S. J., & Kim, H. S. (2022). Understanding chaos in COVID-19 and its relationship to stringency index: Applications to large-scale and granular level prediction models. PloS ONE, 17(6), e0268023. https://doi.org/10.1371/journal.pone.0268023
Nouvellet, P., Bhatia, S., Cori, A., Ainslie, K. E. C., Baguelin, M., Bhatt, S., Boonyasiri, A., Brazeau, N. F., Cattarino, L., Cooper, L. V., Coupland, H., Cucunuba, Z. M., Cuomo-Dannenburg, G., Dighe, A., Djaafara, B. A., Dorigatti, I., Eales, O. D., van Elsland, S. L., Nascimento, F. F., et al. (2021). Reduction in mobility and COVID-19 transmission. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-21358-2
Okamoto, S. (2022). State of emergency and human mobility during the COVID-19 pandemic in Japan. Journal of Transport & Health, 26, 101405. https://doi.org/10.1016/j.jth.2022.101405
Oxford University, COVID-19 Government Response Tracker. Available at: https://github.com/OxCGRT/covid-policy-tracker (15 June 2022, date last accessed)
Öcal Özkaya, H. G., & Şak, N. (2022). The analysis of the factors affecting the stringency index during COVID-19 pandemic. Journal of Applied Microeconometrics, 2(2), 67–79. https://doi.org/10.53753/jame.2.2.03
Rosoł, M., Młyńczak, M., & Cybulski, G. (2022). Granger causality test with nonlinear neural-network-based methods: Python package and simulation study. Computer Methods and Programs in Biomedicine, 216, 106669. https://doi.org/10.1016/j.cmpb.2022.106669
Rowe, F., Calafiore, A., Arribas‐Bel, D., Samardzhiev, K., & Fleischmann, M. (2023). Urban exodus? Understanding human mobility in Britain during the COVID‐19 pandemic using Meta‐Facebook data. Population, Space and Place, 29(1). https://doi.org/10.1002/psp.2637
Salian, V. S., Wright, J. A., Vedell, P. T., Nair, S., Li, C., Kandimalla, M., Tang, X., Carmona Porquera, E. M., Kalari, K. R., & Kandimalla, K. K. (2021). COVID-19 transmission, current treatment, and future therapeutic strategies. Molecular Pharmaceutics, 18(3), 754–771. https://doi.org/10.1021/acs.molpharmaceut.0c00608
Shi, S., Phillips, P. C., & Hurn, S. (2018). Change detection and the causal impact of the yield curve. Journal of Time Series Analysis, 39(6), 966–987. https://doi.org/10.1111/jtsa.12427
Sun, J., Kwek, K., Li, M., & Shen, H. (2021). Effects of social mobility and stringency measures on the COVID-19 outcomes: Evidence from the United States. Frontiers in Public Health, 9. https://doi.org/10.3389/fpubh.2021.779501
Tobías, A. (2020). Evaluation of the lockdowns for the SARS-CoV-2 epidemic in Italy and Spain after one month follow up. Science of the Total Environment, 725, 138539. https://doi.org/10.1016/j.scitotenv.2020.138539
Toda, H. Y., & Yamamoto, T. (1995). Statistical inference in vector autoregressions with possibly integrated processes. Journal of Econometrics, 66(1–2), 225–250. https://doi.org/10.1016/0304-4076(94)01616-8
Violato, C., Violato, E. M., & Violato, E. M. (2021). Impact of the stringency of lockdown measures on covid-19: A theoretical model of a pandemic. PloS ONE, 16(10), e0258205. https://doi.org/10.1371/journal.pone.0258205
Wang, W., Nie, Y., Li, W., Lin, T., Shang, M. S., Su, S., Tang, Y., Zhang, Y. C., & Sun, G. Q. (2024). Epidemic spreading on higher-order networks. Physics Reports, 1056, 1–70. https://doi.org/10.1016/j.physrep.2024.01.003
Washington, S., Karlaftis, M., Mannering, F., & Anastasopoulos, P. (2020). Bayesian Statistical Methods. In Statistical and Econometric Methods for Transportation Data Analysis (pp. 391–403). Chapman and Hall/CRC. https://doi.org/10.1201/9780429244018-23
Yabe, T., Jones, N. K., Rao, P. S. C., Gonzalez, M. C., & Ukkusuri, S. V. (2022). Mobile phone location data for disasters: A review from natural hazards and epidemics. Computers, Environment and Urban Systems, 94, 101777. https://doi.org/10.1016/j.compenvurbsys.2022.101777
Zhou, F., Yu, T., Du, R., Fan, G., Liu, Y., Liu, Z., Xiang, J., Wang, Y., Song, B., Gu, X., Guan, L., Wei, Y., Li, H., Wu, X., Xu, J., Tu, S., Zhang, Y., Chen, H., & Cao, B. (2020). Clinical course and risk factors for mortality of adult inpatients with COVID-19 in Wuhan, China: A retrospective cohort study. The Lancet, 395(10229), 1054–1062. https://doi.org/10.1016/s0140-6736(20)30566-3
Zhou, Y. W., Xie, Y., Tang, L. S., Pu, D., Zhu, Y. J., Liu, J. Y., & Ma, X. L. (2021). Therapeutic targets and interventional strategies in COVID-19: mechanisms and clinical studies. Signal Transduction and Targeted Therapy, 6(1). https://doi.org/10.1038/s41392-021-00733-x
