Bryant Patrick, Elofsson Arne
Department of Biochemistry and Biophysics, Stockholm University, Stockholm, Sweden.
Science for Life Laboratory, Solna, Sweden.
PeerJ. 2020 Sep 15;8:e9879. doi: 10.7717/peerj.9879. eCollection 2020.
As governments across Europe have issued non-pharmaceutical interventions (NPIs) such as social distancing and school closing, the mobility patterns in these countries have changed. Most states have implemented similar NPIs at similar time points. However, it is likely different countries and populations respond differently to the NPIs and that these differences cause mobility patterns and thereby the epidemic development to change.
We build a Bayesian model that estimates the number of deaths on a given day dependent on changes in the basic reproductive number, , due to differences in mobility patterns. We utilise mobility data from Google mobility reports using five different categories: retail and recreation, grocery and pharmacy, transit stations, workplace and residential. The importance of each mobility category for predicting changes in is estimated through the model.
The changes in mobility have a considerable overlap with the introduction of governmental NPIs, highlighting the importance of government action for population behavioural change. The shift in mobility in all categories shows high correlations with the death rates 1 month later. Reduction of movement within the grocery and pharmacy sector is estimated to account for most of the decrease in .
Our model predicts 3-week epidemic forecasts, using real-time observations of changes in mobility patterns, which can provide governments with direct feedback on the effects of their NPIs. The model predicts the changes in a majority of the countries accurately but overestimates the impact of NPIs in Sweden and Denmark and underestimates them in France and Belgium. We also note that the exponential nature of all epidemiological models based on the basic reproductive number, cause small errors to have extensive effects on the predicted outcome.
随着欧洲各国政府发布社交距离和学校关闭等非药物干预措施(NPIs),这些国家的出行模式发生了变化。大多数国家在相似的时间点实施了类似的非药物干预措施。然而,不同国家和人群对这些非药物干预措施的反应可能不同,而这些差异会导致出行模式发生变化,进而使疫情发展也发生改变。
我们构建了一个贝叶斯模型,该模型根据出行模式差异导致的基本再生数的变化来估计给定日期的死亡人数。我们利用谷歌出行报告中的出行数据,分为五个不同类别:零售和娱乐、杂货店和药店、交通枢纽、工作场所和居住地。通过该模型估计每个出行类别对预测基本再生数变化的重要性。
出行变化与政府非药物干预措施的实施有相当大的重叠,突出了政府行动对人群行为改变的重要性。所有类别的出行变化与1个月后的死亡率都呈现出高度相关性。杂货店和药店部门内出行的减少估计占基本再生数下降的大部分原因。
我们的模型利用出行模式变化的实时观测数据预测3周的疫情情况,可为政府提供有关其非药物干预措施效果的直接反馈。该模型能准确预测大多数国家的变化,但高估了瑞典和丹麦非药物干预措施的影响,而低估了法国和比利时的影响。我们还注意到,所有基于基本再生数的流行病学模型的指数性质会导致小误差对预测结果产生广泛影响。