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      Superspreading and the effect of individual variation on disease emergence

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          Coughs and sneezes...

          From Typhoid Mary to SARS, it has long been known that some people spread disease more than others. But for diseases transmitted via casual contact, contagiousness arises from a plethora of social and physiological factors, so epidemiologists have tended to rely on population averages to assess a disease's potential to spread. A new analysis of outbreak data shows that individual differences in infectiousness exert powerful influences on the epidemiology of ten deadly diseases. SARS and measles (and perhaps avian influenza) show strong tendencies towards ‘superspreading events’ that can ignite explosive epidemics — but this same volatility makes outbreaks more likely to fizzle out. Smallpox and pneumonic plague, two potential bioterrorism agents, show steadier growth but still differ markedly from the traditional average-based view. These findings are relevant to how emerging diseases are detected and controlled.

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          The online version of this article (doi:10.1038/nature04153) contains supplementary material, which is available to authorized users.

          Abstract

          Population-level analyses often use average quantities to describe heterogeneous systems, particularly when variation does not arise from identifiable groups 1, 2 . A prominent example, central to our current understanding of epidemic spread, is the basic reproductive number, R 0, which is defined as the mean number of infections caused by an infected individual in a susceptible population 3, 4 . Population estimates of R 0 can obscure considerable individual variation in infectiousness, as highlighted during the global emergence of severe acute respiratory syndrome (SARS) by numerous ‘superspreading events’ in which certain individuals infected unusually large numbers of secondary cases 5, 6, 7, 8, 9, 10 . For diseases transmitted by non-sexual direct contacts, such as SARS or smallpox, individual variation is difficult to measure empirically, and thus its importance for outbreak dynamics has been unclear 2, 10, 11 . Here we present an integrated theoretical and statistical analysis of the influence of individual variation in infectiousness on disease emergence. Using contact tracing data from eight directly transmitted diseases, we show that the distribution of individual infectiousness around R 0 is often highly skewed. Model predictions accounting for this variation differ sharply from average-based approaches, with disease extinction more likely and outbreaks rarer but more explosive. Using these models, we explore implications for outbreak control, showing that individual-specific control measures outperform population-wide measures. Moreover, the dramatic improvements achieved through targeted control policies emphasize the need to identify predictive correlates of higher infectiousness. Our findings indicate that superspreading is a normal feature of disease spread, and to frame ongoing discussion we propose a rigorous definition for superspreading events and a method to predict their frequency.

          Supplementary information

          The online version of this article (doi:10.1038/nature04153) contains supplementary material, which is available to authorized users.

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          Most cited references20

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          Network theory and SARS: predicting outbreak diversity

          Many infectious diseases spread through populations via the networks formed by physical contacts among individuals. The patterns of these contacts tend to be highly heterogeneous. Traditional “compartmental” modeling in epidemiology, however, assumes that population groups are fully mixed, that is, every individual has an equal chance of spreading the disease to every other. Applications of compartmental models to Severe Acute Respiratory Syndrome (SARS) resulted in estimates of the fundamental quantity called the basic reproductive number R 0 —the number of new cases of SARS resulting from a single initial case—above one, implying that, without public health intervention, most outbreaks should spark large-scale epidemics. Here we compare these predictions to the early epidemiology of SARS. We apply the methods of contact network epidemiology to illustrate that for a single value of R 0 , any two outbreaks, even in the same setting, may have very different epidemiological outcomes. We offer quantitative insight into the heterogeneity of SARS outbreaks worldwide, and illustrate the utility of this approach for assessing public health strategies.
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            Heterogeneities in the transmission of infectious agents: Implications for the design of control programs

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              Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures.

              Severe acute respiratory syndrome (SARS) has been the first severe contagious disease to emerge in the 21st century. The available epidemic curves for SARS show marked differences between the affected regions with respect to the total number of cases and epidemic duration, even for those regions in which outbreaks started almost simultaneously and similar control measures were implemented at the same time. The authors developed a likelihood-based estimation procedure that infers the temporal pattern of effective reproduction numbers from an observed epidemic curve. Precise estimates for the effective reproduction numbers were obtained by applying this estimation procedure to available data for SARS outbreaks that occurred in Hong Kong, Vietnam, Singapore, and Canada in 2003. The effective reproduction numbers revealed that epidemics in the various affected regions were characterized by markedly similar disease transmission potentials and similar levels of effectiveness of control measures. In controlling SARS outbreaks, timely alerts have been essential: Delaying the institution of control measures by 1 week would have nearly tripled the epidemic size and would have increased the expected epidemic duration by 4 weeks.
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                Author and article information

                Contributors
                jls@nature.berkeley.edu
                Journal
                Nature
                Nature
                Nature
                Nature Publishing Group UK (London )
                0028-0836
                1476-4687
                2005
                : 438
                : 7066
                : 355-359
                Affiliations
                [1 ]GRID grid.47840.3f, ISNI 0000 0001 2181 7878, Department of Environmental Science, , Policy and Management, University of California, ; 140 Mulford Hall, California 94720-3114 Berkeley, USA
                [2 ]GRID grid.47840.3f, ISNI 0000 0001 2181 7878, Biophysics Graduate Group, , University of California, ; California 94720-3200 Berkeley, USA
                [3 ]GRID grid.264889.9, ISNI 0000 0001 1940 3051, Department of Mathematics, , The College of William and Mary, ; Virginia 23187-8975 Williamsburg, USA
                [4 ]GRID grid.9481.4, ISNI 0000 0004 0412 8669, Centre for Mathematics, , University of Hull, ; HU6 7RX Hull, UK
                Article
                BFnature04153
                10.1038/nature04153
                7094981
                16292310
                bf5dc3b5-41e0-41ac-a25c-98e1579ae417
                © Nature Publishing Group 2005

                This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.

                History
                : 1 March 2005
                : 22 August 2005
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