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Predicting Bathing Water Quality<br />

Vinten et al. (2004) devised a spreadsheet model to predict E. coli in bathing water<br />

by accounting for inactivation, sedimentation, transport and mixing in the Irvine<br />

Beach/River Irvine catchment system for various loading in the catchment. We have<br />

modified this model so FS levels in bathing waters could be predicted rather than<br />

E. coli, using changes to key parameter values, summarised in Table 1. The relative<br />

levels in animal faeces and inactivation factors show considerable variation in the<br />

literature, so these figures should only be considered indicative at this stage.<br />

Table 1:<br />

Correction factors used with the model of Vinten et al. (2004) to<br />

predict FS concentrations in bathing water instead of E. coli<br />

Parameter<br />

Correction factor for<br />

FS/E. coli<br />

References<br />

Levels in animal faeces 5.6 Sinton et al., 1993 Reddy<br />

et al., 1981<br />

Half lives in soil and water 0.7 Sherer et al., 1992 in<br />

Merrilees, 2004<br />

Bathing water quality predictions were made for current and 25–95% reduction in<br />

livestock loadings. Summer discharge percentiles were calculated using 14 years<br />

(1989-2002) of River Irvine data.<br />

Bathing Water Quality and Risk of Illness<br />

A dose–response function between the concentration of FS in bathing water and the<br />

probability of contracting g<strong>as</strong>tro-enteritis w<strong>as</strong> determined by Kay et al. (1994) and<br />

Wyer et al. (1999), b<strong>as</strong>ed on risk of contracting illness from bathing water quality<br />

determined by the World Health Organization using a probability density function<br />

of bathing water quality throughout Europe (WHO, 2001). This relationship h<strong>as</strong> data<br />

for up to 12% probability of infection, and these data were fitted to an exponential<br />

function (eq. 1) to predict risk of illness, including extrapolation where necessary<br />

beyond the data range.<br />

-<br />

Risk of illness = 1-<br />

e 0. 000218c<br />

(1)<br />

Where c = concentration of FS in bathing water (cfu/100mL).<br />

This equation w<strong>as</strong> linked to model simulations of FS in bathing water to give the risk<br />

of contracting g<strong>as</strong>tro-enteritis <strong>as</strong> a function of faecal loading and river discharge<br />

(Step 2 in Figure 1).<br />

Economic Valuation of Reduced Risk of Illness<br />

Consumer willingness to pay (WTP) for a reduction in risk of illness resulting from<br />

swimming in contaminated waters w<strong>as</strong> determined using a benefit transfer of a<br />

contingent valuation used in a previous study in England and Wales (EFTEC, 2002).<br />

The EFTEC study determined consumers’ WTP for a reduction in risk of illness from<br />

swimming in contaminated bathing water. Valuations from the study indicate that<br />

respondents are willing to pay between £1.10 and £2.00 per household per year<br />

212

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