Quantitative Bayesian predictions of source water concentration for QMRA from presence/absence data for E. coli O157:H7.

A hierarchical Bayesian framework was applied for describing variability in pathogen concentration (with associated uncertainty) from presence/absence observations for E. coli O157:H7. Laboratory spiking experiments (method performance) and environmental sample assays were undertaken for a surface drinking water source in France. The concentration estimates were strongly dependent upon the assumed statistical model used (gamma, log-gamma or log-gamma constrained), highlighting the need for a solid theoretical basis for model choice. Bayesian methods facilitate the incorporation of additional data into the statistical analysis; this was illustrated using faecal indicator results of E. coli (Colilert) to reduce the posterior parameter uncertainty and improve model stability. While conceptually simple, application of these methods is still specialised, hence there is a need for the development of data analysis tools to make Bayesian simulation techniques more accessible for QMRA practitioners.

[1]  Nicholas J Ashbolt,et al.  Incorporating method recovery uncertainties in stochastic estimates of raw water protozoan concentrations for QMRA. , 2007, Journal of water and health.

[2]  G. Gunn,et al.  Distribution of Escherichia coli O157 in Bovine Fecal Pats and Its Impact on Estimates of the Prevalence of Fecal Shedding , 2004, Applied and Environmental Microbiology.

[3]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[4]  G. Characklis,et al.  Intra-storm variability in microbial partitioning and microbial loading rates. , 2007, Water research.

[5]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[6]  N. Strachan,et al.  Concentration and Prevalence of Escherichia coli O157 in Cattle Feces at Slaughter , 2003, Applied and Environmental Microbiology.

[7]  W. Slob,et al.  Analysis of Variable Fractions Resulting from Microbial Counts , 1999 .

[8]  C. Kaspar,et al.  Shedding of Escherichia coli O157:H7 in Dairy Cattle Housed in a Confined Environment following Waterborne Inoculation , 2002, Applied and Environmental Microbiology.

[9]  M. Sobsey,et al.  Effects of Seeding Procedures and Water Quality on Recovery of Cryptosporidium Oocysts from Stream Water by Using U.S. Environmental Protection Agency Method 1623 , 2004, Applied and Environmental Microbiology.

[10]  C. Digiorgio,et al.  Cryptosporidium and Giardia Recoveries in Natural Waters by Using Environmental Protection Agency Method 1623 , 2002, Applied and Environmental Microbiology.

[11]  P. Teunis,et al.  Modeling Virus Inactivation on Salad Crops Using Microbial Count Data , 2001, Risk analysis : an official publication of the Society for Risk Analysis.

[12]  N J Ashbolt,et al.  A theoretical approach to assess microbial risks due to failures in drinking water systems , 2003, International journal of environmental health research.

[13]  M. H. McCrady,et al.  The Numerical Interpretation of Fermentation-Tube Results , 1915 .