论文标题

基于Richards的曲线参数的使用元预测,对COVID-19的定性和定量评估

Qualitative and quantitative evaluation of COVID-19 outbreak severity with the use of meta-projections based on Richards' curve parameters

论文作者

Xydas, Evagoras, Kostas, Konstantinos

论文摘要

研究人员表明,即使是由生物增长建模引起的简单经验模型也有可能提供有关正在进行的流行病的发展和严重性的有用信息,因为它们可以用作对受影响人群的大小,转折点时间的预测,最佳和最差现象进行预测的工具。然而,它们通常对某些输入参数的方差表现出很大的敏感性,这会导致生成的投影发生巨大波动,从而使预测变得困难甚至风险。在这项工作中,我们研究了一种基于元预测的新型方法,该方法使我们能够评估模型的当前趋势,并评估生成的预测是否处于瞬态或稳定状态。可以从模型参数的连续估计图和产生的预测的连续估计图中提取元投影,并在逐渐添加到使用的模型的几天中。换句话说,在每次连续评估时长度增加的确认病例的累积数量截断时间序列进行了预测。这使我们能够在一定时间段内追踪模型参数的值,并检查它们的趋势,这些趋势可能会收敛于定居增长情况的特定值,或者在经历流行病学转变和/或不正确地描述的情况下,在当前模型实例中表现出了变化甚至不稳定的行为。我们已经计算出元投影,并将流行病不同阶段的国家的发现与稳定或不稳定的行为进行了比较,并增加或减少了确认病例的数量。我们的结果表明,元投影可以帮助研究人员评估其相关模型的适当性,并实际上减少了对流行病的严重程度和发展的估计的不确定性。

Researchers have shown that even simple empirical models stemming from biological growth modeling have the potential to provide useful information on the development and severity of ongoing epidemics since they can be employed as tools for carrying out projections on the size of the affected population, timing of turning points, as well as best- and worst-case scenarios. Nevertheless, they commonly exhibit considerable sensitivity to some input parameters' variance which results in large fluctuations in the generated projections, thus rendering predictions difficult and even risky. In this work we examine a novel meta-projections-based approach which allows us to evaluate the model's current trends and assess whether generated projections are at a transient or stable state. Meta-projections can be extracted from graphs of successive estimations of model's parameters and resulting projections, over a sequence of days being gradually added to the employed model. In other words, projections are carried out on truncated time series of cumulative numbers of confirmed cases with increased lengths at each successive evaluation. This allows us to trace the values of model parameters over a certain period of time and examine their trends which may converge to specific values for settled-growth cases or exhibit a changing or even an erratic behavior for cases that undergo epidemiological transitions and/or are inappropriately described by the current model instance(s). We have computed meta-projections and compared our findings for countries at different stages of the epidemic with stable or unstable behaviors and increasing or decreasing numbers of confirmed cases. Our results indicate that meta-projections can aid researchers in assessing the appropriateness of their relevant models and in effect decrease the uncertainty in their estimations of an epidemic's severity and development.

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