An Evaluation of Time Series-Based Modeling and Forecasting of Infectious Diseases Progression using Statistical Versus Compartmental Methods

Noha Gamal El-Din Saad, Samy S. A. Ghoniemy, Hossam M. Faheem, Noha A. Seada
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引用次数: 1

Abstract

As a case study for our research, COVID-19, that was caused by a unique coronavirus, has substantially affected the globe, not only in terms of healthcare, but also in terms of economics, education, transportation, and politics. Predicting the pandemic's course is critical to combating and tracking its spread. The objective of our study is to evaluate, optimize and fine-tune state of the art prediction models in order to enhance its performance and to automate its function as possible. Therefore, a comparison between statistical versus compartmental methods for time series-based modeling and forecasting of infectious disease progression was conducted. The comparison included several classical univariate time series statistical models, including Exponential Smoothing, Holt, Holt-Winters, and Seasonal Auto Regressive Integrated Moving Average (SARIMA), as opposed to an optimized version of the compartmental multivariate epidemiological model SEIRD, which is referred to in our study, as, Non-Linear L-BFGS-B Fitted SEIRD. The mentioned methods were implemented and fine-tuned to model and forecast COVID-19 outbreak situation represented by confirmed cases, recoveries, and fatalities in (Australia, Canada, Egypt, India, United States of America and United Kingdom). Through the implementing and tuning of both types of models, we have observed that while univariate time series forecasting models such as SARIMA produce highly accurate predictions due to their ease of use and procedure, as well as their ability to deal with seasonality and cycles in time series, multivariate epidemiological models are more powerful and extendible. Despite their complexity, epidemiological models have aided extensively in understanding the spread and severity of infectious disease pandemics such as the COVID-19 global pandemic. Using our optimized SEIRD, we have obtained a Mean Squared Log Error of 10−3 order, demonstrating the forecasts' elevated accuracy and reliability. In addition to forecasting the course of the pandemic for a 3 months season in all countries under investigation, we were able to estimate the transmission potential of COVID-19 represented by its effective reproduction number Rt. With $\mathrm{R}_{\mathrm{t}}=1$ is considered as the pandemic control threshold, it is evident that all of the countries under investigation are hovering just above the control threshold. This study might be relieving since it can demonstrate that the world is on the right track in terms of putting an end to the pandemic as soon as possible. The whole study shows how powerful is compartmental methods compared to classical statistical methods when used to model and forecast an infectious disease outbreak which encourages our further related research concerning the study of implementing advanced compartmental models considering additional parameters and controls.
基于时间序列的传染病进展建模和预测的评估,采用统计与区隔方法
作为我们研究的一个案例,由一种独特的冠状病毒引起的COVID-19不仅在医疗保健方面,而且在经济、教育、交通和政治方面都对全球产生了重大影响。预测大流行的进程对于抗击和追踪其传播至关重要。我们研究的目的是评估、优化和微调最先进的预测模型,以提高其性能并尽可能地自动化其功能。因此,对基于时间序列的传染病进展建模和预测的统计方法与分区方法进行了比较。比较采用了几种经典的单变量时间序列统计模型,包括指数平滑、Holt、Holt- winters和季节性自动回归综合移动平均(SARIMA),而不是优化版的多变量区间流行病学模型SEIRD,在我们的研究中被称为非线性L-BFGS-B拟合SEIRD。在澳大利亚、加拿大、埃及、印度、美利坚合众国和联合王国实施并调整了上述方法,以模拟和预测以确诊病例、康复病例和死亡病例为代表的COVID-19疫情情况。通过对这两种模型的实施和调整,我们观察到,单变量时间序列预测模型(如SARIMA)由于其易于使用和操作,以及处理时间序列中的季节性和周期的能力,可以产生高度准确的预测,而多变量流行病学模型更强大且可扩展。尽管流行病学模型很复杂,但它在理解COVID-19等传染病大流行的传播和严重程度方面提供了广泛的帮助。使用我们优化的SEIRD,我们获得了10−3阶的均方对数误差,证明了预测的准确性和可靠性。除了预测所有调查国家3个月大流行季节的过程外,我们还能够估计COVID-19的传播潜力,以其有效繁殖数rt表示。将$\ mathm {R}_{\ mathm {t}}=1$视为大流行控制阈值,显然所有调查国家都徘徊在略高于控制阈值的位置。这项研究可能会让人松一口气,因为它可以证明,在尽快结束大流行方面,世界正走在正确的轨道上。整个研究表明,在用于传染病暴发建模和预测时,区隔方法与经典统计方法相比是多么强大,这鼓励了我们进一步研究考虑附加参数和控制的高级区隔模型的实施。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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