Statistical Modeling for the Management of the Initial Stateof Emergency: First Three Months of COVID-19 in Costa Rica
DOI:
https://doi.org/10.32719/25506641.2021.10.3Keywords:
coronavirus, COVID-19, logistic, exponential, reproducibilityAbstract
The role of statistical modeling in emergency management is essential to shape or sup-port decisions regarding the care of events. In 2020 with coronavirus pandemic, countries quickly braced themselves for attention to contagious behavior and the impact it would have on public health. In Costa Rica, a team of specialists prepared studies on the behavior of the contagion curve and its effect on the occupation of hospital beds during the first three months of the epidemic. The studies were based on statistical model estimation of exponential and logistic growth, which provided forecasts of the daily and accumulated case numbers. The prediction of cases allowed feeding a simulation model for the projection of demand for hospital beds by patients with COVID-19. The analysis were based on data provided by the Ministry of Health regarding confirmed cases of coronavirus since the appearance of the first case in Costa Rica. Four models were estimated: logistic, Richards, Gompertz and Exponential, which generated daily case predictions. The reproducibility number was also estimated using Bayesian statistics to quantify the virus transmissibility. The results made it possible to anticipate the initial behavior of the virus in Costa Rica and the potential effect of the containment measures adopted after the declaration of national emergency.
JEL: C15 Statistical simulation methods: general.
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References
Baty, Florent, Christian Ritz, Sandrine Charles, Martin Brutsche, Jean-Pierre Flandrois y Marie-Laure Delignette-Muller. 2015. “A Toolbox for Nonlinear Regression in R: The Package nlstools”. Journal of Statistical Software 66 (5): 1-21. http://www.jstatsoft.org/.
Chaves, Luis Fernando, Lisbeth Hurtado, Melissa Ramírez Rojas, Mariel Friberg, Rodrigo Marín Rodríguez y María Ávila-Agüero. 2020. “Covid-19 Basic Reproduction Number and Assessment of Initial Suppression Policies in Costa Rica”. MathematicalModelling of Natural Phenomena 15 (32): 1-13. https://doi.org/10.1051/mmnp/ 2020019.
Chowell, Gerardo, Lisa Sattienspiel, Sweta Bansai y Cécile Viboud. 2016. “Mathematical Models to Characterize Early Epidemic Growth. A Review”. Physics of Life Reviews 18 (1): 66-97. 10.1016/j.plrev.2016.07.005.
Cori, Anne, Simon Cauhemez, Neil Fergunson, Christophe Freiser, Elizabeth Dahlqwist, Alex Demarsh, Thibaut Jombart, Zhian Kamvar, Justin Lessler, Shikun Li, Jonathan Polonsky, Jake Stockwin, Robin Tompson y Robina van Galeen. 2020. Estimate Time Varying Reproduction Numbers from Epidemic Curves. R Project for Statistical Computing. R package version 2.2.4. PC y Mac OS.
Cori, Anne, Neil Ferguson, Christophe Fraser y Simon Cauchemez. 2013. “A New Fra-mework and Software to Estimate Time-Varying Reproduction Numbers During Epide-mics”. Practice of Epidemiology 178 (9): 1505-1512. 10.1093/aje/kwt133.
Grasselli, Giacomo, Antonio Pesenti y Maurizio Ceconi. 2020. “Critical Care Utilization for the COVID Outbreak in Lombardy, Italy”. American Medical Association 323 (16): 1545-1546. 10.1001/jama.2020.4031.
Livingston, Edward, y Karen Bucher. 2020. “Coronavirus Disease 2019 (COVID-19) in Italy”. American Medical Association 323 (14): 1335-1335. 10.1001/jama.2020. 4344.
Ministerio de Salud de Costa Rica. 2021. “Comunicados de prensa COVID-19”. Accedido enero. https://bit.ly/3rMKj13.
Nishiura, Hiroshi. 2010. “Correcting the Actual Reproduction Number: A Simple Method to Estimate R0 from Early Epidemic Growth Data”. International Journal of Environmental Research and Public Health 7: 291-302. 10.3390/ijerph7010291.
Oswald, Stephen, Ian Nisbet, Andre Chiaradia y Jennifer Arnold. 2012. “Flexparamcurve: R Package for Flexible Fitting of Nonlinear Parametric Curves”. Methods in Ecology and Evolution 3: 1073-1077. 10.1111/j.2041-210X.2012. 00231.x.
Paine, Timothy, Toby Marthews, Deborah Vogt, Drew Purves, Mark Rees, Andy Hector y Lindsay Turnbull. 2012. “How to Fit Nonlinear Plant Growth Models and Calculate Growth Rates: An Update for Ecologists”. Methods in Ecology and Evolution 3: 245-256.
Roosa, Kimberlyn, Yiseul Lee, Ruiyan Luo, Alexander Kirpich, Richard Rothenberg, James Hyman, Ping Yan y Gerardo Chowell. 2020. “Short-term Forecasts of the COVID-19 Epidemic in Guangdong and Zh ejiang, China: February 13-23, 2020”. Journal of Clinical Medicine 9 (596): 1-9. 0.3390/jcm9020596.
Spiess, Andrej-NiKolai. 2018. Propagation of Uncertainty Using Higher-Order Taylor Expansion and Monte Carlo Simulation. The R Project for Statistical Computing. R package version 1.0.6. PC y Mac. Montecarlo. Accedido enero de 2021. rdrr.io/cran/propagate/man/propagate.html.
Tjørve, Even, y Kathleen Tjørve. 2010. “A Unified Approach to the Richards-model Family for use in Growth Analyses: Why We Need Only Two Model Forms”. Journal of Theore-tical Biology 267: 417-425.
Torabipour, Amin, Hojjat Zeraati, Mohammad Arab, Arash Rashidian, Sari Akbari, Ali Sar-zaiem y Mahmuod Reza. 2016. “Bed Capacity Planning Using Stochastic Simulation Approach in Cardiac-surgery Department of Teaching Hospitals, Tehran, Iran”. Iranian Journal of Public Health 45 (9): 1208-1216. http://ijph.tums.ac.ir.