EXTREME VALUE THEORY TO COVID-19 DATA: PROBABILISTIC ANALYSIS OF DAILY NEW CASES AND DEATHS IN BRAZIL
DOI:
https://doi.org/10.18623/rvd.v23.5385Keywords:
COVID-19, Extreme Value Theory, Block Maxima Method, Public Health, Probabilistic AnalysisAbstract
The COVID-19 pandemic, caused by the novel coronavirus (SARS-CoV-2), has strongly impacted global public health and healthcare systems. In this context, mathematical modeling is essential for understanding extreme events related to the disease, thereby contributing to the prevention and mitigation of its most severe impacts. This study applied Extreme Value Theory (EVT) to the analysis of new COVID-19 cases and deaths in Brazil, estimating the probability of future extreme events and their expected maximum values over monthly and biweekly intervals. Official daily data from Our World in Data, affiliated with the University of Oxford, were used, covering the period from 2020 to 2022. Among the methods evaluated, the Block Maxima approach proved to be the most suitable, providing more accurate estimates of the observed extreme values. The results showed that EVT was effective in identifying extreme patterns in emerging diseases, enabling accurate estimates to support public health planning.
References
ABREU, Marcel Carvalho et al. Critérios para escolha de distribuições de probabilidades em estudos de eventos extremos de precipitação. Revista Brasileira de Meteorologia, v. 33, p. 601-613, 2018.
ALBUQUERQUE, R. C. Modelagem em séries temporais: aplicação em dados de precipitação na região do sertão de Pernambuco-Brasil. Dissertação de Mestrado. Universidade Federal Rural de Pernambuco. 2018.
ALMEIDA, G. C. Uma abordagem bayesiana para a modelagem dos ventos máximos de Sorocaba-SP e Bauru-SP. Dissertação de Mestrado. Universidade Federal de Alfenas. 2018.
ANANIAS, Denis Rafael Silveira et al. The assessment of annual rainfall field by applying different interpolation methods in the state of Rio Grande do Sul, Brazil. SN Applied Sciences, v. 3, n. 7, p. 687, 2021.
ANTUNES, José Leopoldo Ferreira; CARDOSO, Maria Regina Alves. Uso da análise de séries temporais em estudos epidemiológicos. Epidemiologia e Serviços de Saúde, v. 24, p. 565-576, 2015.
ASSIS, J. P. et al. Estimação Estatística. Pantanal Editora, 2021.
BARBOSA, Isabelle Ribeiro et al. Incidence of and mortality from COVID-19 in the older Brazilian population and its relationship with contextual indicators: an ecological study. Revista Brasileira de Geriatria e Gerontologia, v. 23, n. 01, p. e200171, 2020.
BAUTISTA, Ezequiel Abraham López; ZOCCHI, Silvio Sandoval; ANGELOCCI, Luiz Roberto. A distribuição Generalizada de Valores Extremos aplicada ao ajuste dos dados de velocidade máxima do vento em Piracicaba, São Paulo, Brasil. Revista de Matemática e Estatística. 2004.
BEZERRA, Anselmo César Vasconcelos et al. Factors associated with people's behavior in social isolation during the COVID-19 pandemic. Ciencia & Saude Coletiva, v. 25, p. 2411-2421, 2020.
BEZERRA, Évilly Carine Dias et al. Spatial analysis of Brazil's COVID-19 response capacity: a proposal for a Healthcare Infrastructure Index. Ciência & Saúde Coletiva, v. 25, p. 4957-4967, 2020.
BRASIL. Painel Coronavírus Ministério da Saúde. Brasília, 2020.
CAMPOLIETI, Michele. Tail risks and infectious disease: Influenza mortality in the US, 1900–2018. Infectious Disease Modelling, v. 6, p. 1135-1143, 2021.
CAVALCANTE, João Roberto; ABREU, Ariane de Jesus Lopes de. COVID-19 no município do Rio de Janeiro: análise espacial da ocorrência dos primeiros casos e óbitos confirmados. Epidemiologia e Serviços de Saúde, v. 29, p. e2020204, 2020.
CHEN, Jiangpeng et al. Using extreme value theory approaches to forecast the probability of outbreak of highly pathogenic influenza in Zhejiang, China. PloS one, v. 10, n. 2, p. e0118521, 2015.
CHIU, Y. et al. Mortality and morbidity peaks modeling: An extreme value theory approach. Statistical Methods in Medical Research, v. 27, n. 5, p. 1498-1512, 2018.
CIRILLO, Pasquale; TALEB, Nassim Nicholas. Tail risk of contagious diseases. Nature Physics, v. 16, n. 6, p. 606-613, 2020.
COLES, Stuart et al. An introduction to statistical modeling of extreme values. London: Springer, 2001.
COTTA, Higor Henrique Aranda; CORRÊA, Wesley de Souza Campos; ALMEIDA ALBUQUERQUE, Taciana Toledo. Aplicação da distribuição de Gumbel para valores extremos de precipitação no município de Vitória-ES. Revista Brasileira de Climatologia, v. 19, 2016.
GILLELAND, Eric; KATZ, Richard W. extRemes 2.0: an extreme value analysis package in R. Journal of Statistical Software, v. 72, p. 1-39, 2016.
GUILLOU, Armelle; KRATZ, Marie; STRAT, Y. Le. An extreme value theory approach for the early detection of time clusters. A simulation‐based assessment and an illustration to the surveillance of Salmonella. Statistics in Medicine, v. 33, n. 28, p. 5015-5027, 2014.
LIM, Jue Tao; DICKENS, Borame Sue Lee; COOK, Alex R. Modelling the epidemic extremities of dengue transmissions in Thailand. Epidemics, v. 33, p. 100402, 2020.
LISKA, Gilberto Rodrigues et al. Estimativas de velocidade máxima de vento em Piracicaba-SP via Séries Temporais e Teoria de Valores Extremos. Revista Brasileira de Biometria, v. 2, p. 295-309, 2013.
MA, Ning; BAI, Yanbing; MENG, Shengwang. Return period evaluation of the largest possible earthquake magnitudes in mainland China based on extreme value theory. Sensors, v. 21, n. 10, p. 3519, 2021.
MARTINS, Amanda Larissa Alves et al. Generalized Pareto distribution applied to the analysis of maximum rainfall events in Uruguaiana, RS, Brazil. SN Applied Sciences, v. 2, n. 9, p. 1479, 2020.
MATHIEU, Edouard et al. COVID-19 pandemic. Our World in Data, 2020.
NASCIMENTO, Igor Ferreira; NASCIMENTO, Alex Rodrigues; YAOHAO, Peng. Uma análise estatística comparativa das evidências de subnotificação da COVID-19 no Brasil. Revista Eletrônica Gestão e Saúde, v. 11, n. 3, p. 261-280, 2020.
OPAS. Doença causada pelo novo coronavírus (COVID-19) OPAS/OMS. 2021.
R CORE TEAM. R: A language and environment for statistical computing. R Foundation for Statistical Computing. 2020.
STEPHENSON, Alec G. et al. evd: Extreme value distributions. R News, v. 2, n. 2, p. 31-32, 2002.
THOMAS, Maud et al. Applications of extreme value theory in public health. PloS one, v. 11, n. 7, p. e0159312, 2016.
THOMAS, Maud; ROOTZÉN, Holger. Real-time prediction of severe influenza epidemics using extreme value statistics. Journal of the Royal Statistical Society Series C: Applied Statistics, v. 71, n. 2, p. 376-394, 2022.
VASCONCELOS, Fernando Freire; MOURA, Heber José de. Elaboração de uma metodologia baseada em estatística para encaminhamento dos casos da COVID-19. Revista de Administração Pública, v. 54, p. 1417-1428, 2020.
WHO. Brazil - WHO Coronavirus (COVID-19) Dashboard. World Health Organisation 2020.
WONG, Felix; COLLINS, James J. Evidence that coronavirus superspreading is fat-tailed. Proceedings of the National Academy of Sciences, v. 117, n. 47, p. 29416-29418, 2020.
ZAMBRANO-BIGIARINI, Mauricio. Goodness-of-fit functions for comparison of simulated and observed hydrological time series. R Package Version 0.3-8, 2017.
ZHU, Yifan; CHEN, Ying Qing. On a statistical transmission model in analysis of the early phase of COVID-19 outbreak. Statistics in Biosciences, v. 13, n. 1, p. 1-17, 2021.
Downloads
Published
How to Cite
Issue
Section
License
I (we) submit this article which is original and unpublished, of my (our) own authorship, to the evaluation of the Veredas do Direito Journal, and agree that the related copyrights will become exclusive property of the Journal, being prohibited any partial or total copy in any other part or other printed or online communication vehicle dissociated from the Veredas do Direito Journal, without the necessary and prior authorization that should be requested in writing to Editor in Chief. I (we) also declare that there is no conflict of interest between the articles theme, the author (s) and enterprises, institutions or individuals.
I (we) recognize that the Veredas do Direito Journal is licensed under a CREATIVE COMMONS LICENSE.
Licença Creative Commons Attribution 3.0


