What Do the Dynamics of the Coronavirus Pandemic in the «Large Economies» Have in Common?

V. Chetverikov, O. Pugacheva, T. Vorontsova
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Abstract

The authors analyze the dynamics of infected and deceased from the coronavirus pandemic over 148 weeks in the «large economies» (24 countries). According to the authors, a large economy is a country that, at least within one year from 1980 to 2019, produced more than 1% of the global GDP. Although the organization of the health care system in these countries is different, only the general requirements of WHO could provide information on the spread of the pandemic in comparable formats. The change from daily data on the number of infected and deceased to weekly data on these indicators (per 1 million persons of the country's population) made it possible, firstly, to exclude insignificant daily fluctuations of these indicators and, secondly, to obtain information in comparable values for countries with widely differing populations.The paper demonstrates that the frequently used comparison of countries by such integral indicators as the number of infected and deceased at a particular time is not very informative. It is due to the fact that, over time, country-specific circumstances change dramatically. Nevertheless, it was precisely the introduction for analytical purposes of such characteristics as weekly increment peaks of infected people and weekly increment peaks of deceased that made it possible to identify the four features. First, the number of those peaks is small for all countries: from 5 to 9 over 148 weeks. Second, these peaks cover between 70 and 90 percent of the totals of the integral number of infected and deceased in a given country. Third, most peaks of the infected are accompanied by peaks of the deceased with some delay: from zero to six weeks, but in most cases by two weeks, which is consistent with clinical observations. Fourth, the peaks of infected people in all 24 countries exhibit the statistical property of being quasi-synchronous (the so-called property of the maximums of these peaks to fall within predetermined intervals of weeks with probabilities that are the same for all countries). This fact is proved using the mathematical homogeneity criterion χ2.
冠状病毒大流行在“大型经济体”中的动态有什么共同之处?
作者分析了“大型经济体”(24个国家)在148周内感染和死亡冠状病毒大流行的动态。根据作者的说法,一个大型经济体是一个国家,至少在1980年至2019年的一年内,其国内生产总值占全球的1%以上。虽然这些国家的卫生保健系统组织不同,但只有世卫组织的一般要求才能以可比格式提供关于大流行病传播的信息。将感染和死亡人数的每日数据改为这些指标的每周数据(每100万人的国家人口),首先可以排除这些指标微不足道的每日波动,其次可以获得人口差异很大的国家的可比值信息。本文表明,经常使用的按特定时间内感染和死亡人数等综合指标对各国进行比较的方法并不能提供很好的信息。这是因为随着时间的推移,各国的具体情况会发生巨大变化。然而,正是为了分析目的,引入了感染者每周增量峰值和死者每周增量峰值等特征,才有可能识别出这四个特征。首先,这些高峰的数量对所有国家来说都很小:在148周内从5到9个。其次,这些高峰覆盖了某一国家感染和死亡总人数的70%至90%。第三,大多数感染者的高峰伴随着死者的高峰,并有一定的延迟:从零到六周,但在大多数情况下是两周,这与临床观察一致。第四,在所有24个国家中,受感染人数的高峰显示出准同步的统计特性(即这些高峰的最大值在预定的几周间隔内下降的所谓特性,所有国家的概率都是相同的)。用数学齐次判据χ2证明了这一事实。
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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