The Reproductive Number of an epidemic is the number of secondary cases produced by each primary case in a totally susceptible population. Its magnitude, together with the Serial Interval between primary and secondary cases, is an important factor in the transmissibility of the disease and the possibility for intervention. For ...
(Show more)The Reproductive Number of an epidemic is the number of secondary cases produced by each primary case in a totally susceptible population. Its magnitude, together with the Serial Interval between primary and secondary cases, is an important factor in the transmissibility of the disease and the possibility for intervention. For the epidemic to die out, the Reproductive Number must fall to less than unity. Large values indicate epidemics that may not be susceptible to interventions designed to reduce transmissibility below the critical threshold. Demographers are already familiar with these concepts from population dynamics as the Reproductive Number is equivalent to the Net Reproduction Rate and the Serial Interval is equivalent to generation length.
It is surprising, given its importance for epidemic preparedness, that there are relatively few estimates of the Reproductive Number for 1918. Analyses of this pandemic in the United States and North-West Europe produce estimates of around 1.2 to 3.75. These values are surprisingly low when compared with estimates as high as 20 for other influenza epidemics, and when compared with other infectious diseases. It suggests that the 1918 disaster was caused by very high case fatality rates, rather than by extreme transmissibility, and that control might have been feasible with aggressive intervention.
The Madrid data comprise individual death records which allow us to contrast different methodologies for estimating Reproductive Numbers and to examine a number of hypotheses with regard to covariates such as age, sex, marital status and geographical propinquity. Aggregate studies show that the Relative Mortality Risk for infants was close to unity in 1918, but rose sharply with age so that children over 4 were at high risk. We will also contrast the 1889-90 pandemic with the successive waves of 1918-20. It is known that the age-specific response in these two pandemics was different and that the former occurred in an era when influenza had almost disappeared as a cause of morbidity and mortality, so that the proportion of the population with a naïve immune response to influenza was probably much higher than in 1918.
The city of Madrid represents an important example as there is evidence that the rise in relative mortality during 1918 was greater in Spain and Italy than in North-West Europe, North America and Australasia. So far, the explanations have been speculative rather than quantitative. This paper offers a clear example of the way in which historic data can contribute to the understanding of contemporary problems.
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