放弃清零死亡 155 万?复旦大学余宏杰论文几点读后感
这篇论文的标题是《用模型模拟新冠奥密克戎在中国的传播》[1],目前还没有正式发表,还在审稿中,网上刊登的是“预印本”,不排除论文进一步修订的可能性。
论文内容本身是自洽的,关于模型的局限性,论文作者也明确谈到了三点(见下文引用的“讨论”第四部分)。不过,我还想指出一点:论文中关于病亡总人数的计算,有一个关键性假设,即论文作者提到的“有症状感染者的病死率”,我们可以从结论中反推出作者的假设是 1.38%(1.122 亿有症状感染者,病亡 155 万),这个假设的病亡率似乎与香港和上海的真实世界的数据出入较大。上海目前的有症状感染者(即确诊)的病死率是 0.4% 左右,香港的确诊病死率(即不区分有症状还是无症状感染者)的病死率是 0.7% 左右,而吉林省的有症状感染者的病死率是 0.005%。限于时间和精力,我并没有深究,仅仅是我的第一感受。另外,我没有在论文中找到这个模型估计的总感染人数,即奥密克戎核酸阳性的总人数。虽然理论上,应该可以通过模型估计的“有症状感染者”总数来反推出总感染人数,但问题是,有症状感染者的比例全国各地差别太大,所以缺乏反推的锚点。 这篇论文讨论了在各种边界条件下的可能后果,其中重点谈到了放弃清零的后果是什么,但更重要的是探讨了中国若要与病毒“共存”,需要具备哪些前提条件。 155 万死亡是模型的一种假设性结果,其前提是“病毒不受控制地传播”。
Modeling transmission of SARS-CoV-2 Omicron in China
《用模型模拟新冠奥密克戎在中国的传播》
Abstract 摘要
Having adopted a dynamic zero-COVID strategy to respond to SARS-CoV-2 variants with higher transmissibility since August 2021, China is now considering whether and for how long this policy can remain in place. The debate has thus shifted towards the identification of mitigation strategies for minimizing disruption to the healthcare system in the case of a nationwide epidemic. To this aim, we developed an age structured stochastic compartmental susceptible-latent-infectious-removed-susceptible (SLIRS) model of SARS-CoV-2 transmission calibrated on the initial growth phase for the 2022 Omicron outbreak in Shanghai, to project COVID-19 burden (i.e., number of cases, patients requiring hospitalization and intensive care, and deaths) under hypothetical mitigation scenarios. The model also considers age-specific vaccine coverage data, vaccine efficacy against different clinical endpoints, waning of immunity, different antiviral therapies, and non-pharmaceutical interventions. We find that the level of immunity induced by the March 2022 vaccination campaign would be insufficient to prevent an Omicron wave that would result in exceeding critical care capacity with a projected intensive care unit peak demand of 15.6-times the existing capacity and causing approximately 1.55 million deaths. However, we also estimate that protecting vulnerable individuals by ensuring accessibility to vaccines and antiviral therapies, and maintaining implementation of non-pharmaceutica interventions could be sufficient to prevent overwhelming the healthcare system, suggesting that these factors should be points of emphasis in future mitigation policies.
Discussion 讨论
Using a stochastic dynamic model of SARS-CoV-2 transmission, our study projects the COVID-19 burden caused by the importation of Omicron infections in mainland China, should the dynamic zero-COVID policy be lifted. In the context of the vaccination strategy adopted until March 2022, we estimated that the introduction of the Omicron variant would cause substantial surges in hospitalizations, ICU admissions, and deaths, and would overwhelm the healthcare system with an estimated burden of 15.6 times the available ICU capacity.
Should an Omicron variant epidemic be allowed to spread uncontrolled in mainland China, we project 1.10 deaths per 1,000 inhabitants over a 6-month period. By comparison, 187,372 deaths have been reported in the USA38 261 (i.e., 0.57 deaths per 1,000 inhabitants) over the period from December 15, 2021 to April 15, 2022, roughly corresponding to the Omicron wave. We estimate that around 77% of the death toll in China would occur in unvaccinated individuals, with most deaths occurring among unvaccinated individuals aged 60 years or more (52 million people). A similar trend has been observed in the Omicron-driven fifth COVID-19 wave in Hong Kong Special Administrative Region (SAR) of China, which began in early 202239 267 . Our findings highlight the key role of increasing vaccine uptake rate among the elderly to limit COVID-19 burden and to prevent overwhelming the healthcare system. A second key factor to reach these goals is represented by the widespread and timely distribution of a highly efficacious antiviral therapy. When both vaccine uptake in the elderly is substantially increased (97%) and 50% or more of symptomatic infections are treated with antiviral therapies, the peak occupancy of ICUs may not exceed the national capacity and the death toll may be comparable to that of seasonal influenza. In the absence of these two conditions, the most optimistic strategy to prevent overwhelming the healthcare system appears to be the reliance of strict NPIs.
China is a highly diverse country with urban megalopolises on the eastern seaboard and rural areas in the northwest. Such diversity is also reflected by heterogeneous vaccination coverage, demographic structure of the population, mixing patterns, and capacity of the healthcare system. When accounting for these heterogeneities, our simulations show considerable differences in the projected COVID-19 burden for different areas of China. According to our projections, the population of Shanghai would experience a higher COVID-19 burden than other areas such as Shandong and Shanxi. This increased burden would be led by a much larger incidence of severe infections in the population aged 60 years or older, which is associated with a lower vaccination coverage in this segment of the population. This result confirms the importance of filling the vaccination gap among the elderly and the need to tailor interventions on the specific immunological landscape of the population.
Our study has several limitations. First, we assumed that the mortality rate remains constant over the projection period; however, studies have suggested that the mortality rate may increase during periods of high strain on hospital services. Second, although we conducted a comprehensive literature search, the epidemiological characteristics of Omicron, clinical severity, VEs of primary and booster vaccination and its persistence against different clinical endpoints, as well as the effectiveness of antiviral therapies are not fully understood. For this reason, we have conducted extensive sensitivity analyses to explore the impact of the uncertainty of model parameters. Third, data on antiviral therapy availability by region is unknown and thus not included in our analysis. Possible regional differences in stockpiles of antiviral therapies could widen the already large differences in COVID-19 burden that we have estimated among the study locations.
信源
[1]https://www.nature.com/articles/s41591-022-01855-7_reference.pdf?origin=ppub
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