论文标题
COVID-19:简单模型的不合理效力
COVID-19: The unreasonable effectiveness of simple models
论文作者
论文摘要
当新款冠状病毒疾病SARS-COV2(COVID-19)在2020年3月被正式宣布为大流行时,科学界已经为了解全球国家当局收集的快速增长的数据而做好了准备。然而,尽管新型理论方法的多样性以及许多广泛建立的模型的全面性,但讲述爆发过程的官方人物仍然绘制出很大程度上难以捉摸且令人生畏的图片。在这里,我们明确地表明,Covid-19爆发的动力学属于SIR模型的简单通用类别及其扩展。我们的分析自然会使我们确定对任何理论方法的基本限制,即报告数字背后的测试框架的不可预测的非平稳性。但是,我们展示了如何从数据中量化这种偏见,并用来从数据中挖掘有用和准确的信息。特别是,我们描述了报告率的时间演变如何控制明显的流行峰值的发生,这通常遵循在爆发开始时在其测试中不够有力的国家中的真实峰值。早期测试和坚定地测试的重要性似乎是我们分析的自然推论,因为一开始就进行了大规模测试的国家显然具有更早的峰值,而总体上的死亡人数更少。
When the novel coronavirus disease SARS-CoV2 (COVID-19) was officially declared a pandemic by the WHO in March 2020, the scientific community had already braced up in the effort of making sense of the fast-growing wealth of data gathered by national authorities all over the world. However, despite the diversity of novel theoretical approaches and the comprehensiveness of many widely established models, the official figures that recount the course of the outbreak still sketch a largely elusive and intimidating picture. Here we show unambiguously that the dynamics of the COVID-19 outbreak belongs to the simple universality class of the SIR model and extensions thereof. Our analysis naturally leads us to establish that there exists a fundamental limitation to any theoretical approach, namely the unpredictable non-stationarity of the testing frames behind the reported figures. However, we show how such bias can be quantified self-consistently and employed to mine useful and accurate information from the data. In particular, we describe how the time evolution of the reporting rates controls the occurrence of the apparent epidemic peak, which typically follows the true one in countries that were not vigorous enough in their testing at the onset of the outbreak. The importance of testing early and resolutely appears as a natural corollary of our analysis, as countries that tested massively at the start clearly had their true peak earlier and less deaths overall.