The R = 1 threshold can misclassify epidemic stability

Abstract The effective reproduction number, R , is a predominant statistic for tracking infectious disease spread and informing health policies. An estimated R = 1 is universally interpreted as a stability threshold distinguishing epidemic growth ( R > 1 ) from control ( R < 1 ). We demonstrate that this interpretation frequently fails because R typically averages over groups with heterogeneous characteristics. We find that R = 1 conceals valuable early-warning signals of resurgence and misclassifies complex dynamics as noise, generating false positive stability thresholds that diminish predictive and policymaking value. We further illustrate that a popular alternative transmissibility definition (using next-generation matrices) overcorrects this issue, producing false negative stability signals by amplifying stochastic variation. We address these limitations by adapting a recently developed statistic, E , derived from R using experimental design theory. We show that E tightly constrains the set of scenarios consistent with stability, while remaining robust to noise and establish E = 1 as a more practical and meaningful real-time threshold.

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Publication Details

Journal
Communications Physics
Published
2026-04-15
DOI
https://doi.org/10.1038/s42005-026-02631-6
Primary Topic
COVID-19 epidemiological studies
Type
article
Field-Weighted Citation Impact
0.00

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article

The R = 1 threshold can misclassify epidemic stability

Uri Obolski, Mauricio Santillana, Kris V Parag, Anne Cori
Communications Physics
COVID-19 epidemiological studies
article

The R = 1 threshold can misclassify epidemic stability

Uri Obolski, Mauricio Santillana, Kris V Parag, Anne Cori
article en

Abstract

Abstract The effective reproduction number, R , is a predominant statistic for tracking infectious disease spread and informing health policies. An estimated R = 1 is universally interpreted as a stability threshold distinguishing epidemic growth ( R > 1 ) from control ( R < 1 ). We demonstrate that this interpretation frequently fails because R typically averages over groups with heterogeneous characteristics. We find that R = 1 conceals valuable early-warning signals of resurgence and misclassifies complex dynamics as noise, generating false positive stability thresholds that diminish predictive and policymaking value. We further illustrate that a popular alternative transmissibility definition (using next-generation matrices) overcorrects this issue, producing false negative stability signals by amplifying stochastic variation. We address these limitations by adapting a recently developed statistic, E , derived from R using experimental design theory. We show that E tightly constrains the set of scenarios consistent with stability, while remaining robust to noise and establish E = 1 as a more practical and meaningful real-time threshold.

Communications Physics
Northeastern University (US), Harvard University (US), Tel Aviv University (IL), King's College London (GB), Imperial College London (GB)
Tel Aviv University, Medical Research Council
Good health and well-being
Openalex Percentile: Top 11%
COVID-19 epidemiological studies
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The R = 1 threshold can misclassify epidemic stability — Uri Obolski, Mauricio Santillana, et al. · Communications Physics (2026) | TGRS Research Map | TGRS