Abstract

Epidemic models are being used by governments to inform public health strategies to reduce the spread of SARS-CoV-2. They simulate potential scenarios by manipulating model parameters that control processes of disease transmission and recovery. However, the validity of these parameters is challenged by the uncertainty of the impact of public health interventions on disease transmission, and the forecasting accuracy of these models is rarely investigated during an outbreak. We fitted a stochastic transmission model on reported cases, recoveries and deaths associated with SARS-CoV-2 infection across 101 countries. The dynamics of disease transmission was represented in terms of the daily effective reproduction number (R_t). The relationship between public health interventions and R_t was explored, firstly using a hierarchical clustering algorithm on initial R_t patterns, and secondly computing the time-lagged cross correlation among the daily number of policies implemented, R_t, and daily incidence counts in subsequent months. The impact of updating R_t every time a prediction is made on the forecasting accuracy of the model was investigated. We identified 5 groups of countries with distinct transmission patterns during the first 6 months of the pandemic. Early adoption of social distancing measures and a shorter gap between interventions were associated with a reduction on the duration of outbreaks. The lagged correlation analysis revealed that increased policy volume was associated with lower future R_t (75 days lag), while a lower R_t was associated with lower future policy volume (102 days lag). Lastly, the outbreak prediction accuracy of the model using dynamically updated R_t produced an average AUROC of 0.72 (0.708, 0.723) compared to 0.56 (0.555, 0.568) when R_t was kept constant. Monitoring the evolution of R_t during an epidemic is an important complementary piece of information to reported daily counts, recoveries and deaths, since it provides an early signal of the efficacy of containment measures. Using updated R_t values produces significantly better predictions of future outbreaks. Our results found variation in the effect of early public health interventions on the evolution of R_t over time and across countries, which could not be explained solely by the timing and number of the adopted interventions.

Highlights

  • Epidemic models are being used by governments to inform public health strategies to reduce the spread of SARS-CoV-2

  • This study evaluates the effectiveness of initial public health interventions globally by estimating the effective reproduction number on a daily basis and highlights the importance of using updated reproduction numbers for outbreak forecast

  • We look into the temporal patterns of number of public health interventions, effective reproduction number and incidence counts using a time-lagged cross correlation analysis

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Summary

Introduction

Epidemic models are being used by governments to inform public health strategies to reduce the spread of SARS-CoV-2. Different models have been applied to model the spatial and temporal dynamics of SARS-CoV-2 transmission (see the review ­study[3]) They range from simple deterministic population-based ­models[4,5,6], that assume uniform mixing, to complex agent-based m­ odels[2,7] in which individuals defined by different attributes related to their susceptibility, infectiousness and social interactions transmit the pathogen to each other, given rise to heterogeneous transmission patterns. The model parameters controlling the risk of infection together with the social contact between infectious and susceptible individuals determine the transmission rate, which in turns influences the peak and duration of the epidemics By manipulating these parameters, modelers can represent the impact of public health measures such as social distancing (lowering the contact rate) or wearing protective masks (lowering the risk of infection).

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