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COVID-19: A Comparative Study of Contagions Peaks in Cities from Europe and the Americas
Karine Bertin1, Johanna Garzón2, Jaime San Martín3
1Centro de Investigación y Modelamiento de Fenómenos Aleatorios-Valparaíso, Instituto de Ingeniería Matemática, Facultad de Ingeniería, Universidad de Valparaíso, Valparaíso 2362905, Chile.
Insights
Log-linear models effectively analyze Coronavirus disease 2019 (COVID-19) case trends. This statistical approach reveals similar epidemic rise and drop patterns across diverse global cities, irrespective of socioeconomic factors or quarantine stringency.
Area of Science:
- Epidemiology
- Biostatistics
- Mathematical Modeling
Background:
- Coronavirus disease 2019 (COVID-19) rapidly spread globally, necessitating effective epidemiological modeling.
- Existing studies utilized SIR and stochastic SIR models to understand COVID-19 dynamics.
- The need for statistical models to analyze daily case incidence across diverse urban settings was apparent.
Purpose of the Study:
- To statistically analyze daily confirmed COVID-19 cases in eleven European and American cities.
- To propose and apply log-linear models for assessing trends in daily COVID-19 case numbers.
- To compare epidemic peak behaviors and identify common patterns in case incidence.
Main Methods:
- Statistical analysis of daily confirmed COVID-19 cases.
- Application of log-linear models to quantify case incidence trends (rise and drop).
- Classification analysis of estimated slopes and curve rescaling for cross-city comparison.
Main Results:
- Log-linear models demonstrated suitability for modeling both increases and decreases in daily COVID-19 cases.
- Rescaling of epidemic curves revealed similar rise and drop patterns across the eleven studied cities.
- Observed epidemic behaviors were independent of socioeconomic conditions and quarantine measures.
Conclusions:
- Log-linear models provide a robust statistical framework for analyzing COVID-19 incidence dynamics.
- Epidemic curve shapes exhibit universal characteristics across different urban environments.
- The findings suggest that underlying transmission dynamics may follow consistent patterns despite external interventions.
Abstract:
Coronavirus disease 2019 (COVID-19) is an infectious disease caused by a group of viruses that provoke illnesses ranging from the common cold to more serious illnesses such as pneumonia. COVID-19 started in China and spread rapidly from a single city to an entire country in just 30 days and to the rest of the world in no more than 3 months. Several studies have tried to model the behavior of COVID-19 in diverse regions, based on differential equations of the SIR and stochastic SIR type, and their extensions. In this article, a statistical analysis of daily confirmed COVID-19 cases reported in eleven different cities in Europe and America is conducted. Log-linear models are proposed to model the rise or drop in the number of positive cases reported daily. A classification analysis of the estimated slopes is performed, allowing a comparison of the eleven cities at different epidemic peaks. By rescaling the curves, similar behaviors among rises and drops in different cities are found, independent of socioeconomic conditions, type of quarantine measures taken, whether more or less restrictive. The log-linear model appears to be suitable for modeling the incidence of COVID-19 both in rises and drops.
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