The social contact hypothesis under the assumption of endemic equilibrium: Elucidating the transmission potential of VZV in Europe
The basic reproduction number R0 and the effective reproduction number R are pivotal parameters in infectious disease epidemiology, quantifying the transmission potential of an infection in a population. We estimate both parameters from 13 pre-vaccination serological data sets on varicella zoster virus (VZV) in 12 European countries and from population-based social contact surveys under the commonly made assumptions of endemic and demographic equilibrium. The fit to the serology is evaluated using the inferred effective reproduction number R as a model eligibility criterion combined with AIC as a model selection criterion. For only 2 out of 12 countries, the common choice of a constant proportionality factor is sufficient to provide a good fit to the seroprevalence data. For the other countries, an age-specific proportionality factor provides a better fit, assuming physical contacts lasting longer than 15 min are a good proxy for potential varicella transmission events. In all countries, primary infection with VZV most often occurs in early childhood, but there is substantial variation in transmission potential with R0 ranging from 2.8 in England and Wales to 7.6 in The Netherlands. Two non-parametric methods, the maximal information coefficient (MIC) and a random forest approach, are used to explain these differences in R0 in terms of relevant country-specific characteristics. Our results suggest an association with three general factors: inequality in wealth, infant vaccination coverage and child care attendance. This illustrates the need to consider fundamental differences between European countries when formulating and parameterizing infectious disease models. ; ES acknowledges support from a Methusalem research grant from the Flemish Government. NG is beneficiary of a postdoctoral grant from the AXA Research Fund. NH acknowledges support from the Antwerp University scientific chair in Evidence-Based Vaccinology, financed in 2009-2014 by an unrestricted gift from Pfizer. AM is currently receiving funding from the European Research Council under the European Union's Seventh Framework Program(FP7/2007-2013)/ERC Starting Grant [Agreement No. 283955]. Support from the IAP Research Network P7/06 of the Belgian State(Belgian Science Policy) is gratefully acknowledged. The computational resources and services used in this work were provided by the Hercules Foundation and the Flemish Government - department EWI. This study was initiated as part of POLYMOD, a European Commission project funded within the Sixth Framework Programme, Contract number: SSP22-CT-2004-502084.