The Open UniversitySkip to content
 

Estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data

Farrington, C.P.; Kanaan, M.N. and Gay, N.J. (2001). Estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data. Journal of the Royal Statistical Society: Series C (Applied Statistics), 50(3) pp. 251–292.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1111/1467-9876.00233
Google Scholar: Look up in Google Scholar

Abstract

The basic reproduction number of an infection, R0, is the average number of secondary infections generated by a single typical infective individual in a totally susceptible population. It is directly related to the effort required to eliminate infection. We consider statistical methods for estimating R0 from age-stratified serological survey data. The main difficulty is indeterminacy, since the contacts between individuals of different ages are not observed. We show that, given an estimate of the average age-specific hazard of infection, a particular leading left eigenfunction is required to specify R0. We review existing methods of estimation in the light of this indeterminacy. We suggest using data from several infections transmitted via the same route, and we propose that the choice of model be guided by a criterion based on similarity of their contact functions. This approach also allows model uncertainty to be taken into account. If one infection induces no lasting immunity, we show that the only additional assumption required to estimate R0 is that the contact function is symmetric. When matched data on two or more infections transmitted by the same route are available, the methods may be extended to incorporate the effect of individual heterogeneity. The approach can also be applied in partially vaccinated populations and to populations comprising loosely linked communities. The methods are illustrated with data on hepatitis A, mumps, rubella, parvovirus, Haemophilus influenzae type b and measles infection.

Item Type: Journal Article
ISSN: 1467-9876
Keywords: Bayes factor; Eigenfunction; frailty; indeterminacy; infectious disease; model uncertainty; profile deviance; reproduction number
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 2266
Depositing User: Paddy Farrington
Date Deposited: 08 Jun 2006
Last Modified: 02 Dec 2010 19:47
URI: http://oro.open.ac.uk/id/eprint/2266
Share this page:

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk