A Modular Bayesian Salmonella Source Attribution Model for Sparse Data

Abstract Several statistical models for salmonella source attribution have been presented in the literature. However, these models have often been found to be sensitive to the model parameterization, as well as the specifics of the data set used. The Bayesian salmonella source attribution model presented here was developed to be generally applicable with small and sparse annual data sets obtained over several years. The full Bayesian model was modularized into three parts (an exposure model, a subtype distribution model, and an epidemiological model) in order to separately estimate unknown parameters in each module. The proposed model takes advantage of the consumption and overall salmonella prevalence of the studied sources, as well as bacteria typing results from adjacent years. The latter were used for a smoothed estimation of the annual relative proportions of different salmonella subtypes in each of the sources. The source‐specific effects and the salmonella subtype‐specific effects were included in the epidemiological model to describe the differences between sources and between subtypes in their ability to infect humans. The estimation of these parameters was based on data from multiple years. Finally, the model combines the total evidence from different modules to proportion human salmonellosis cases according to their sources. The model was applied to allocate reported human salmonellosis cases from the years 2008 to 2015 to eight food sources.

[1]  Jukka Ranta,et al.  A Probabilistic Transmission Model of Salmonella in the Primary Broiler Production Chain , 2002, Risk analysis : an official publication of the Society for Risk Analysis.

[2]  Simon E F Spencer,et al.  Source Attribution of Food‐Borne Zoonoses in New Zealand: A Modified Hald Model , 2009, Risk analysis : an official publication of the Society for Risk Analysis.

[3]  Sophie Bertrand,et al.  Multi-laboratory validation study of multilocus variable-number tandem repeat analysis (MLVA) for Salmonella enterica serovar Enteritidis, 2015 , 2017, Euro surveillance : bulletin Europeen sur les maladies transmissibles = European communicable disease bulletin.

[4]  Martyn Plummer Cuts in Bayesian graphical models , 2015, Stat. Comput..

[5]  Moez Sanaa,et al.  Source Attribution of Foodborne Diseases: Potentialities, Hurdles, and Future Expectations , 2018, Front. Microbiol..

[6]  Jukka Ranta,et al.  Studying the effects of POs and MCs on the Salmonella ALOP with a quantitative risk assessment model for beef production. , 2007, International journal of food microbiology.

[7]  L Watier,et al.  The Bayesian Microbial Subtyping Attribution Model: Robustness to Prior Information and a Proposition , 2013, Risk analysis : an official publication of the Society for Risk Analysis.

[8]  Andrew Thomas,et al.  WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility , 2000, Stat. Comput..

[9]  Tine Hald,et al.  Attributing the human disease burden of foodborne infections to specific sources. , 2009, Foodborne pathogens and disease.

[10]  H. Lundström,et al.  Outbreak of Salmonella enteritidis phage type 1B associated with frozen pre-cooked chicken cubes, Finland 2012 , 2017, Epidemiology and Infection.

[11]  Federica Barrucci,et al.  Salmonella source attribution based on microbial subtyping. , 2013, International journal of food microbiology.

[12]  Tine Hald,et al.  A Bayesian Approach to Quantify the Contribution of Animal‐Food Sources to Human Salmonellosis , 2004, Risk analysis : an official publication of the Society for Risk Analysis.

[13]  Jukka Ranta,et al.  Bayesian risk assessment for Salmonella in egg laying flocks under zero apparent prevalence and dynamic test sensitivity , 2013 .

[14]  J Ranta,et al.  Salmonella risk in imported fresh beef, beef preparations, and beef products. , 2006, Journal of food protection.

[15]  James O. Berger,et al.  Modularization in Bayesian analysis, with emphasis on analysis of computer models , 2009 .

[16]  David J. Lunn,et al.  The BUGS Book: A Practical Introduction to Bayesian Analysis , 2013 .