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    A simple, spreadsheet-based, food safety risk assessment tool

    Thomas Ross*, John Sumner

    Centre for Food Safety and Quality, School of Agricultural Science, University of Tasmania, GPO Box 252-54, Hobart,

    Tasmania 7001, Australia

    Received 21 June 2001; received in revised form 13 November 2001; accepted 18 January 2002

    Abstract

    The development and use of a simple tool for food safety risk assessment is described. The tool is in spreadsheet software

    format and embodies established principles of food safety risk assessment, i.e., the combination of probability of exposure to a

    food-borne hazard, the magnitude of hazard in a food when present, and the probability and severity of outcomes that might

    arise from that level and frequency of exposure. The tool requires the user to select from qualitative statements and/or to provide

    quantitative data concerning factors that that will affect the food safety risk to a specific population, arising from a specific food

    product and specific hazard, during the steps from harvest to consumption. The spreadsheet converts the qualitative inputs into

    numerical values and combines them with the quantitative inputs in a series of mathematical and logical steps using standard

    spreadsheet functions. Those calculations are used to generate indices of the public health risk. Shortcomings of the approach

    are discussed, including the simplifications and assumptions inherent in the mathematical model, the inadequacy of data

    currently available, and the lack of consideration of variability and uncertainty in the inputs and outputs of the model. Possibleimprovements are suggested. The model underpinning the tool is a simplification of the harvest to consumption pathway, but

    the tool offers a quick and simple means of comparing food-borne risks from diverse products, and has utility for ranking and

    prioritising risks from diverse sources. It can be used to screen food-borne risks and identify those requiring more rigorous

    assessment. It also serves as an aid to structured problem solving and can help to focus attention on those factors in food

    production, processing, distribution and meal preparation that most affect food safety risk, and that may be the most appropriate

    targets for risk management strategies. D 2002 Elsevier Science B.V. All rights reserved.

    Keywords: Food safety; Hazard analysis; Qualitative risk assessment; Relative risk; Spreadsheet

    1. Introduction

    Formal risk assessment techniques have been devel-

    oped and exploited in many areas of human enterprise

    and activity for decades (NRC, 1983, 1994, 1996;

    Morgan, 1993; Bernstein, 1996). The application of

    risk assessment techniques to food safety issues is

    being strongly promoted by national and international

    organisations (CAST, 1994; Kindred, 1996; ILSI,

    1996; WHO/FAO, 1999) and several authors have

    reviewed the application of risk assessment methods

    to food safety (Jaykus, 1996; Kindred, 1996; Lam-

    merding, 1997; ICMSF, 1998; Voysey and Brown,

    2000).

    0168-1605/02/$ - see front matterD 2002 Elsevier Science B.V. All rights reserved.P I I : S 0 1 6 8 - 1 6 0 5 ( 0 2 ) 0 0 0 6 1 - 2

    * Corresponding author. Tel.: +61-3-6226-1831; fax: +61-3-

    6226-2642.

    E-mail address: [email protected] (T. Ross).

    www.elsevier.com/locate/ijfoodmicro

    International Journal of Food Microbiology 77 (2002) 3953

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    Risk assessment involves the identification of a

    hazard and the methodical description of a system,

    and its failures, which could give rise to that hazard,

    including all possible routes whereby that hazard canarise. This qualitative description can be made quanti-

    tative by expressing in mathematical terms, the system,

    and the relationships between those elements that

    contribute to the risk. Full quantitative assessment of

    the risk can be achieved if the distributions of values of

    the factors in the system that contribute to the risk are

    known. Approaches that use all of this information, the

    so-called stochastic, or probabilistic treatments,

    are the preferred option for risk assessment (Vose,

    1996;Cassin et al., 1998a). Methods for microbial food

    safety risk assessment are being developed by various

    organisations (FAO, 1995; CAC, 1999; Kindred, 1996;

    ILSI, 1996; Buchanan, 1997; PCCRARM, 1997) and,

    since the mid-1990s, a number of microbiological risk

    assessments have been presented. These were sum-

    marised by Schlundt (2000). Others have since been

    released for public comment/peer review (WHO/FAO,

    2000a,b,c, 2001; FDA/FSIS, 2001a,b).

    The effort expended to assess a specified risk

    should be commensurate with the magnitude of that

    risk and, in general, there is a large difference in effort

    and rigour between qualitative and quantitative risk

    assessment. The latter are typically expensive, labourintensive and technically demanding processes taking,

    in some cases, many person-years to complete (FSIS,

    1998; FDA/FSIS, 2001a). Despite this, many food

    safety risk assessments have concluded that there are

    insufficient data to enable a reliable numerical esti-

    mate of risk within narrow confidence limits. Pre-

    screening of the risk by simpler methods can aid

    decisions about the value of investing resources in

    fully quantitative risk assessments.

    Risk managers may have difficulty comparing risks

    from different sources for risk management prioritisa-tion. The fundamental objective of risk assessment is

    to provide support for decisions, and there are a

    number of decision-support tools to assist in deter-

    mining whether a pathogen is, or could be, an impor-

    tant hazard in a given food/food process combination.

    These include various semi-quantitative scoring sys-

    tems, decision trees,etc. (see, e.g. Notermans andMead,

    1996; Todd and Harwig, 1996; ICMSF, 1996; Van

    Schothorst, 1997). van Gerwen et al. (2000) presented

    a step-wise approach and developed a computerised

    expert system, named SIEFE, for quantitative micro-

    biological risk assessment of food products and pro-

    cesses that begins to address this problem. Schemes to

    assist qualitative risk assessments have also been devel-oped (Corlett and Pierson, 1992; Huss et al., 2000).

    While the approaches of Corlett and Pierson (1992)

    and Huss et al. (2000) are valuable in categorising risk

    and in directing broad mitigation strategies, neither

    provides good discrimination of risk (e.g. neither could

    be used to assess an as-yet undocumented risk), nor of

    the effect of contributions to risk of individual risk-

    affecting factors. Consequently, those schemes do not

    focus attention on steps where control could most

    effectively be applied.

    In this paper, we describe a simple and accessible

    food safety risk calculation tool intended as an aid to

    determining relative risks from different product/

    pathogen/processing combinations, that addresses

    some of the shortcomings identified above.

    2. Methods and materials

    2.1. Development of the decision support tool

    The decision-support tool was developed to assist

    in translating an academic understanding of the riskassessment approach and philosophy into a useful tool

    for ranking the risk from different food/hazard combi-

    nations. In particular, the tool was intended to make

    the techniques of food safety risk assessment more

    accessible to non-expert users, both as a decision-aid

    and an educational tool.

    It was recognised that the tool would have to

    incorporate all factors that affect the risk from a

    hazard in a particular commodity including:

    (1) Severity of the hazard.(2) Likelihood of a disease causing dose of the

    hazard being present in a meal.

    (3) Probability of exposure to the hazard in a

    defined period of time.

    In turn, it was recognised that a number of factors

    affect each of the above. Disease severity is affected by:

    (a) the intrinsic features of the pathogen/toxin, and

    (b) the susceptibility of the consumer.

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    Exposure to the hazard will depend on how much

    is consumed per meal by the population of interest,

    how frequently they consume the food, and the size of

    the population exposed.Probability of exposure to an infectious dose will

    depend on:

    (a) serving size,

    (b) probability of contamination in the raw pro-

    duct,

    (c) initial level of contamination,

    (d) probability of contamination at subsequent

    stages in the farm-to-fork chain, and

    (e) changes in the level of the hazard during the

    journey from farm to fork, including, e.g.

    simple concentration and dilution, growth or

    inactivation of pathogens.

    The tool was developed to assist users to describe

    the product/pathogen/pathway of interest to them. In

    prototypes, the user was prompted to choose from a

    list of qualitative answers in response to each of a

    series of simple questions, so that risk could be

    estimated or compared without recourse to numerical

    data. After trials, it was realised that relying on a

    small and finite range of qualitative answers greatly

    limited the ability of the tool to discriminate levelsof risk. Consequently, the capacity for users to pro-

    vide numerical answers to some questions was in-

    cluded.

    2.2. User interface

    The user interface represents a generic conceptual

    model of the factors that contribute to food safety

    risk.

    The model was developed in MicrosoftR Excel

    spreadsheet software, using standard mathematicaland logical functions. The List Box macro tool,

    an inbuilt MicrosoftR Excel function available on the

    Forms toolbar, was used to automate the conver-

    sion from qualitative inputs to quantities for use in

    calculations. The list box tool allows users to select

    from a range of options by simply mouse-clicking

    on their choice. The software converts that selection

    into a numerical value.

    The user is required to answer 11 questions,

    related to the three main factors identified in Section

    2.1. The underlying mathematical model equates

    each descriptor with a numerical value or weight-

    ing. The weightings currently used in the model are

    detailed in Table 1. Some of the weightings arearbitrarily defined, while others are based on known

    mathematical relationships, e.g. from days to weeks,

    or years. To assist users to make objective and

    reproducible responses, and to maintain transparency

    of the model, examples of the subjective descriptors

    are provided, or the weighting factors applied to

    the descriptors are shown in the user interface

    (see Fig. 1). Alternatively, where the options pro-

    vided do not accurately reflect the situation being

    modelled, users can enter a numerical value that is

    appropriate.

    Different iterations of the spreadsheet model were

    tested by food safety managers. Through that process,

    ambiguities in the structure of the questions were

    revealed. Thus, the questions were modified to make

    their intent clearer.

    Questions 1 and 2 consider the susceptibility of the

    population of interest and the severity of the illness.

    The hazard severity is arbitrarily weighted by factors

    of 10 for increasing levels of severity. The weighting

    factors for susceptibility of various population sub-

    groups include values for relative risk of infection/

    intoxication for a variety of hazards. That weighting isloosely based on epidemiological data for relative

    susceptibility to listeriosis calculated by Jurado et al.

    (1993), Jones et al. (1994) and Nolla-Salas et al.

    (1993). Absolute risk is based on the population size,

    the proportion of the population consuming the food

    and how frequently people eat the food. This infor-

    mation is selected in Questions 35. The selection of

    a sub-population from the general population (Ques-

    tion 2) automatically reduces, by the proportions

    indicated in Table 1, the total population estimated

    to be exposed.Using Australian population age structure data

    (ABS, 2000) and 1998 data from the US Center

    for Disease Prevention and Control (cited in FDA/

    FSIS, 2001a) for the proportion of listeriosis cases

    in defined age categories, we also estimated the

    relative susceptibility by age. The proportion of the

    population in these categories in Australia was

    estimated from ABS (2000), and also by Paoli

    (1999, pers. comm.) for North American populations.

    Both estimates were in the range of 1520%, consis-

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    Table 1

    Weighting values used in the current model (V.1)

    Comment

    1. Hazard severitySEVERE hazardcauses death to most victims 1 arbitrary weighting factors

    MODERATE hazardrequires medical intervention

    in most cases

    0.1

    MILD hazardsometimes requires medical attention 0.01

    MINOR hazardpatient rarely seeks medical attention 0.001

    2. How susceptible is the consumer?

    GENERALall members of the population 1 100% of population

    SLIGHTe.g., infants, aged 5 20% of population

    VERYe.g., old, very young, diabetes, alcoholic etc. 30 3% of population

    EXTREMEe.g. AIDS, transplants recipients,

    cancer patients, etc.

    200 0.1% of population

    arbitrary weightings, but based on relative

    susceptibility to listeriosis, populationestimates based on Australian health statistics

    3. Frequency of consumption

    daily 365 simple algebra

    weekly 52

    monthly 12

    a few times per year 3

    once every few years 0.3

    4. Proportion of population consuming

    all (100%) 1 arbitrary weighting factors

    most (75%) 0.75

    some (25%) 0.25

    very few (5%) 0.05

    5. Size of population of interest User selected or specified

    6. Proportion of product contaminated?

    Rare (1 in a 1000) 0.001 0.01% of samples

    Infrequent (1%) 0.01 1% of samples

    Sometimes (10%) 0.1 10% of samples

    Common (50%) 0.5 50% of samples

    All (100%) 1 all samples

    OTHER user input

    7. Effect of process

    The process RELIABLY ELIMINATES hazards 0 arbitrary weighting factorsThe process USUALLY (99% of cases) ELIMINATES hazards 0.01

    The process SLIGHTLY (50% of cases) REDUCES hazards 0.5

    The process has NO EFFECT on the hazards 1

    The process INCREASES (10 ) the hazards 10The process GREATLY INCREASES (1000 ) the hazards 1000

    8. Is there a potential for recontamination?

    NO 0 arbitrary weighting factors

    YESminor (1% frequency) 0.01

    YESmajor (50% frequency) 0.50

    OTHER user input

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    tent with that of Lindqvist and Westoo (2000), Hitch-

    ins (1996) and Buchanan et al. (1997). The propor-

    tions in different susceptibility classes were used to

    modify the number of cases predicted, as describedbelow.

    The frequency of contamination of food and the

    implications of subsequent processing and handling

    are considered in Questions 6 9 and Question 11.

    Some factors, such as processing or cooking, may

    completely eliminate the risk. The model includes,

    however, the possibility that re-contamination may

    occur subsequently, and re-introduce risk. Subsequent

    pathways of cross-contamination are not explicitly

    considered in the model.

    Neither the concentration of the hazard nor thesize of the serving is considered explicitly in the

    model. Both factors are included indirectly in the

    response to Question 10, which requests an estimate

    of the increase required for the initial contamination

    level to reach ID50.1 In the calculation of relative risk,

    for pathogens believed to have a high infectious

    doses, the distribution of pathogen loads in the food

    system has little effect (WHO/FAO, 2001). Rather, it

    is the total load of such pathogens in the foodsupply that determines the overall population health

    risk.

    The model multiplies the factors to calculate var-

    ious measures of risk, described below. Some esti-

    mates consider only the probability of illness, while

    others also consider the severity to produce an esti-

    mate of the risk of the illness and the numbers of

    consumers affected. As a descriptor is selected or

    changed, the risk estimates are automatically recalcu-

    lated.

    2.3. Structure of the tool and mathematical bases

    Full details of the logic and equations leading to

    the risk estimates are detailed below.

    Four measures of risk are calculated.

    To simplify the description of the calculation of

    these values, it is useful to describe some intermediate

    calculations. These are the following.

    PDD: Probability of a disease-causing dose being

    present in a portion of the product of interest. This is

    1 The dose expected to result in 50% of the exposed population

    becoming ill.

    Table 1 (continued)

    Comment

    9. How much increase from level at processing is required to reach an infectious or toxic dose for the average consumer?

    none 1 arbitrary weighting factorsslight (10-fold increase) 0.1

    moderate (100-fold increase) 0.01

    significant (10,000-fold increase) 0.0001

    OTHER user input

    10. How effective is the post-processing control system?

    WELL CONTROLLEDsystems in place, audited, well-trained staff 1 arbitrary weighting factors

    CONTROLLEDsystems in place, audited, well-trained staff 3

    NOT CONTROLLEDno systems in place, untrained staff 10

    GROSS ABUSE OCCURS 1000

    NOT RELEVANTlevel of risk agent does not change 1

    11. Effect of preparation for meal

    Meal preparation RELIABLY ELIMINATES hazards 0 arbitrary weighting factorsMeal preparation USUALLY ELIMINATES (99%) hazards 0.01

    Meal preparation SLIGHTLY REDUCES (50%) hazards 0.50

    Meal preparation has NO EFFECT on the hazards 1.00

    user-input

    OTHER value

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    defined as whichever is the larger value of the

    product of

    the proportion of product contaminated

    value of Question 6 the effects of

    processing on the probability of contamination

    value of Question 7 the effect of

    post processing handling=storage

    value of Question 9 the increase in the

    initial level of the factor required to reach an

    infectious dose value of Question 10 the

    effect of preparation prior to eating

    value of Question 11

    or

    the proportion of product re contaminated

    value of Question 8 the effect of

    post processing handling=storage

    value of Question 9 the increase in the initial

    level of the factor required to reach an infectious

    dose value of Question 10 the effect of

    preparation prior to eating value of Question 11

    The probability of a portion of food being con-taminated with a toxic dose cannot exceed 1. Accord-

    ingly, if the value of the above calculations exceeds 1,

    it is set equal to 1.

    Pexp: Probability of exposure to the product per

    person per day, given by:

    the frequency of consumption

    value of Question 3 proportion of the

    population that consumes the product

    value of Question 4

    Exposure: Total number of portions of the product

    of interest eaten per day in the general population,

    given by:

    the frequency of consumption

    value of Question 3 proportion of the

    population that consumes the product

    value of Question 4 the total population

    considered value of Question 5

    The first measure: Probability of illness per con-

    sumer per day is calculated as:

    PDD Pexp

    This value is not strictly a measure of risk, because

    it does not include the severity of the illness resulting

    from exposure to the hazard.

    The second measure Total predicted illnesses/

    annum in population of interest does not differentiate

    severity either, but provides another measure that

    might be more readily understood. Total predicted

    illnesses/annum in population of interest is calcu-

    lated as:

    365 i:e: days per year Probability of illness

    per consumer per day as described above

    fraction of population considered in at risk

    class part of Question 2 the total population

    value of Question 10

    The Comparative Risk in the population of

    interest is a measure of relative risk and is independ-

    ent of the size of the population, but does consider the

    proportion of the population consuming. It is calcu-

    lated as:

    Probability of illness per day per consumer of

    interest as described above Hazard severity

    Question 1 Proportion of population

    consuming Question 4 Proportion of total

    population in population of interest

    part of Question 2

    and can be used to rank the relative risk of the

    pathogen/product/process combination and consump-

    tion patterns, independent of population size. Whenspecific sub-populations are selected at Question 2, the

    estimate of the absolute number of cases among the

    total population is amended by the weighting factors

    shown in Table 1 for relative susceptibility to infection,

    and also the proportion of the total population in that

    sub-group. The model is constructed, and the weight-

    ing factors selected, so that the Comparative Risk

    can never exceed 1. A Comparative Risk of 1

    represents the situation where every person in the

    population consumes the product of interest daily,

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    and that each portion of the product contains a lethal

    dose of the hazard.

    The Comparative Risk measure is cumbersome,

    and its numerical value is not readily understood as ameasure of risk. Relatively small changes in one of

    the answers can lead to alarming changes in the

    predicted number of cases. Furthermore, the specifi-

    cation of the numerical value of risk is misleading, as

    it provides no information regarding the confidence

    one should place in that numerical estimate. To

    provide a more user-friendly and robust index of

    relative risk, the Risk Ranking measure was devel-

    oped based on the Comparative Risk estimate.

    The Risk Ranking value is scaled logarithmically

    between 0 and 100, where 0 represents no risk, and 100

    represents the opposite extreme where every member

    of the population eats a meal that contains a lethal dose

    of the hazard every day. To set the Risk Ranking

    scale, we chose a probability of mild food-borne illness

    of less than or equal to one case per 10 billion people

    (greater than current global population) per 100 years

    as a negligible risk. The Comparative Risk estimate

    that corresponds to this value is 2.75 10 17. Weequated the Risk Ranking corresponding to this

    level to zero. Analogously, we set the upper limit of

    Risk Ranking at 100, corresponding to a Compa-

    rative Risk of 1. All the estimates generated by themodel are based on the multiplication of factors, many

    set at factor of 10 differences. The end-points of the

    Risk Ranking scale lead to an increment of six Risk

    Ranking units, corresponding approximately to a

    factor of 10 difference in the absolute risk estimate.

    Thus, Risk Ranking is defined as:

    If

    Comparative Risk Q 2.75 10 17 thenRisk Ranking= 0 or else Risk Rank-

    ing=(100/17.56) (17.56 + LOG10(Compara-tive Risk)).

    In the spreadsheet, the result is rounded to the

    nearest integer value, reflecting the level of discrimina-

    tion we believe appropriate given the bases of the tool.

    2.4. Evaluating the tool

    To relate the Risk Ranking scale to practical ex-

    perience, we use predicted rates of food-borne illness

    in Australia, estimated by ANZFA (1999), and the

    estimates of Mead et al. (1999) for food-borne illness

    in the USA, to generate Risk Ranking values.

    To evaluate the performance of the tool, severalscenarios were modelled and compared to actual data

    or other risk assessments. Specifically, conditions

    leading to an outbreak of hepatitis A from consump-

    tion of oysters in Australia in 1997 were simulated

    using the tool, and compared to the epidemiological

    data reported by Conaty et al. (2000).

    Secondly, the data and assumptions of the quanti-

    tative risk assessment of Cassin et al. (1998b), for the

    risk of illness from enterohaemorrhagic E. coli in

    hamburgers in north American culture, were used to

    derive the answers to the questions of the risk assess-

    ment spreadsheet. The results of both assessments

    were compared.

    3. Results

    The model interface is shown in Fig. 1.

    3.1. Risk ranking

    ANZFA (1999) calculated the incidence of food-

    borne disease in Australia as f 4,000,000 cases perannum. The vast majority of these cases were consid-

    ered to pass unreported. Thus, we set Hazard Severity

    (Question 1) to minor hazard. The ANZFA (1999)

    estimates are for the total population: we set Question 2

    to general. We manipulated other inputs so that the

    Total Predicted Illnesses per annum in the Population

    of Interest equalled f 4,000,000. Australia was

    selected in Question 5. Under these, and all other

    conditions leading to a total predicted 4,000,000 minor

    food-borne illnesses among the Australian population

    off

    20 million, the Risk Ranking was 64.Mead et al. (1999) estimated that there were

    76,000,000 cases of food-borne disease per year in

    the USA, of which 325,000 resulted in hospitalisation

    and 5000 caused deaths. Thus, we performed three

    assessments. In the first, the Hazard Severity (Question

    1) was set to minor hazard and the other questions

    adjusted to yield an estimate of 76,000,000 illnesses. In

    the second assessment, Hazard Severity (Question 1)

    was set to moderate hazardrequiring medical inter-

    vention in most cases, and the other questions manip-

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    Fig. 1. User interface. The risk model user interface, using Australian populations as an example. Users mouse-click on their choice in each lis

    required. As choices are made and values entered, the risk estimates are automatically recalculated. The values shown are those used in Case

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    ulated to yield an estimate of 325,000 illnesses. In the

    third, the Hazard Severity was set to severe haz-

    ardcauses death to most victims, and the other

    questions manipulated to yield an estimate of 5000cases. In all cases General population was selected

    in Question 2, and other selected under Question 5,

    with the USA population estimated at 270,000,000.

    The Risk Ranking estimates for these three scenar-

    ios were 65, 63 and 58, respectively.

    3.2. Case study 1: viruses in oysters

    An outbreak of hepatitis A involving consumption

    of oysters occurred in Australia in 1997. The outbreak

    is discussed in Conaty et al. (2000) from which it can

    be estimated that production from the affected area

    was approximately 280 bags of oysters per week. A

    bag of oysters contains approximately 200 serves of

    six oysters. The first positive samples were identified

    from oysters harvested on 24 December and the area

    was closed to further harvest on 14 February, indicat-

    ing that contaminated oysters were harvested for up to

    7 weeks. Thus, we estimate that the population was

    exposed to 390,000 servings of potentially contami-

    nated oysters. If spread over the entire Australian

    population over an entire year, this would correspond

    to 0.02 serves per person per annum. To represent thislevel of exposure in the model we selected Once

    every few years at Question 3, and Very Few at

    Question 4. (Note that, even though the exposure

    occurred only over a 7-week period, we assume that

    it was spread over an entire year, and that even though

    the exposure was restricted to a geographic region,

    that all Australian consumers were potentially

    exposed, consistent with the above estimate of expo-

    sure level.)

    Conaty et al. (2000) report that of 63 samples of

    one dozen oysters, 6 tested positive for hepatitis Avirus using a PCR method. From this, we assumed

    that 5% of servings of six oysters were HAV-positive

    (Question 5).

    The level of contamination was not reported.

    Where detection of enteric viruses in shellfish has

    occurred the levels of contamination are low, ranging

    from 0.3 to 200 plaque forming units (PFU) per 100 g

    of shellfish (Jaykus et al., 1994; Rose and Sobsey,

    1993; CAST, 1994), a typical serving size. Rose and

    Sobsey (1993) presented a dose response model

    relating the probability of infection with HAV to the

    amount ingested. It suggests that the ID50 for HAV isf 500 PFU. Assuming an exponential doseresponse

    relationship, 1 PFU would be expected to lead toinfection in 1 in 500 consumers. Thus, it appears

    likely that not all contaminated serves would have a

    high probability of causing infection. To implement

    this relationship at Question 7, we selected OTHER

    and entered 65 (the ID50 divided by the geometric

    mean of the contamination per serving) at Question

    10. The values used are summarised in Table 2.

    Australia-wide during the outbreak period (20

    January to 4 April), there were 444 cases of hepatitis

    A associated with consumption of oysters, the vast

    majority of which were believed to be due to oysters

    from the contaminated area (Conaty et al., 2000).

    Under the assumptions given above, the number of

    cases predicted by the spreadsheet model was 225,

    and the Risk Ranking was 52.

    3.3. Case study 2: comparison to risk estimate of

    Cassin et al. (1998b)

    Cassin et al. (1998b) developed a process risk

    model from which to determine the effectiveness of

    a range of strategies to reduce the risk and incidence

    Table 2

    Values used in the assessment of risk from viral contamination of

    oysters in Australia in an outbreak

    Risk criteria Input appropriate

    to outbreak

    Dose and severity

    1. Hazard severity Moderateoften requires

    medical attention

    2. Susceptibility Generalall population

    Probability of exposure

    3. Frequency of consumption once every few years

    4. Proportion consuming very few (5%)

    5. Size of population Australia (19,500,000)

    Probability of infective dose

    6. Probability of contamination Other (5% of servings)

    7. Effect of Process Has no effect on the hazard

    8. Possibility of recontamination None

    9. Post-process control Not relevant

    10. Increase to infective dose other (65)

    11. Effect of treatment

    before heating

    Not effective in

    reducing hazard

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    of E. coli O157:H7 infections from hamburgers in the

    North American cuisine.

    It was difficult to make a direct comparison with

    the results of Cassin et al. (1998b). Many of the valuesthat were required to be entered in the spreadsheet

    were not given explicitly by those authors, but were

    intermediate calculations in their model. However,

    using data and statistics for the general population

    presented in that report, we entered the values shown

    in Table 3 into the spreadsheet.

    We considered the total population, for whom

    infection with E. coli O157:H7 will generally cause

    mild disease (Questions 1 and 2). For more susceptible

    individuals, medical attention will be required. The

    population of the USA is approximately 270,000,000

    (Question 5). Walls and Scott (1996) reported that on

    any day in the USA, 9% of the population consume a

    hamburger meal or, equivalently, that in any week 63%

    of the population eat a hamburger meal. We entered this

    as most people consume a hamburger weekly

    (Question 4). It was difficult to determine the predicted

    level of contamination during processing. We estimate

    a contamination rate on carcass meat of < 1%. Cassin et

    al. (1998b) discussed various factors that affect the

    contamination rate during the processing of meat, and

    concluded that overall, a reduction in the initial con-

    tamination of between 10 and 300 could be expected.

    We chose The process usually eliminates. . . at

    Question 7. However, in their calculations, Cassin et

    al. (1998b) predicted that 2.9% of the packages of retailground beef of size 3001000 g are contaminated. We

    implemented this directly at Question 8 which over-

    rides the contamination changes predicted from the

    answers to Questions 6 and 7.

    The geometric mean of the contamination levels

    estimated by Cassin et al. (1998b) is f 20 CFU/

    package. The average serving size is 83 g for adults.

    Thus, based on the average package size, average

    serving size and average contamination level, we

    estimate the average CFU/meal serving as 3 at retail.

    We have assumed that the USA has good temperature

    control and handling systems for raw meat and have

    selected Controlled for Question 9. By analogy

    with shigellosis, the ID50 for O157:H7 was estimated

    by Cassin et al. (1998b) as f 2000 CFU. Thus, we

    assumed that a f 1000-fold increase in dose would

    be required to cause infection in the average case.

    Cassin et al. (1998b) cited the results of MacIntosh

    et al. (1994) for hamburger cooking preference. Nine-

    teen percent of consumers were reported to prefer

    rare or medium rare cooked meat products. We

    assume that all other degrees of cooking result in the

    elimination of the pathogen, and that of the remaining20% preferring less thoroughly cooked meat, the

    cooking eliminates 75% of the pathogens present.

    We implement this as cooking eliminates 95% of the

    pathogens present in all hamburgers consumed (Ques-

    tion 11). The values used are summarised in Table 3.

    The model predicts a per-meal risk of 6.2 10 7,and predicts 45,800 cases per year in the USA. Cassin

    et al. (1998b) estimated the risk per meal to be 3.7 and

    5.5 10 5 for children and adults, respectively, fromtheir model. On the assumption that half of the

    10,000 20,000 cases annually of E. coli O157:H7illness in the USA are due to consumption of ham-

    burgers, Cassin et al. (1998b) estimated the per-meal

    risk at between 5.7 10 7 and 1.2 10 6. TheRisk Ranking estimate is 58.

    4. Discussion

    The spreadsheet tool was originally developed as a

    means of quickly assessing the performance of various

    Table 3

    Values used in the assessment of risk from enterohaemorrhagic E.

    coli in hamburgers in north America

    Risk criteria Input

    Dose and severity

    1. Hazard severity Moderateoften requires

    medical attention

    2. Susceptibility Generalall population

    Probability of exposure

    3. Frequency of consumption weekly

    4. Proportion consuming most

    5. Size of population Other (270,000,000)

    Probability of infective dose

    6. Probability of contamination Other (1% of servings)

    7. Effect of process Usually eliminates

    the hazard

    8. Possibility of recontamination Other (2.9%)

    9. Post-process control Controlled

    10. Increase to infective dose Other (1000)

    11. Effect of treatment

    before heating

    Other (0.05)

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    conceptual models for food safety risk assessment. It

    was quickly realised that the spreadsheet itself was a

    valuable risk assessment and risk communication tool,

    and the conceptual model and the spreadsheet userinterface then were developed in parallel. Refinement

    of the conceptual model was based largely on exper-

    imentation with the model. This involved trying to

    recreate scenarios for which data to describe the model

    inputs, and epidemiological data by which to evaluate

    the corresponding model outputs, were available. For

    example, early iterations of the model required a

    number of correction factors so that numerical

    predictions of cases of illness matched those reported.

    Other risk assessment models have used such factors to

    make the predicted number of cases better match the

    observed rates of illness (Farber et al., 1996; FDA/

    FSIS, 2001a). Experience with the model enabled the

    refinement of the questions posed and data required so

    that the correction factors were eliminated from the

    model. Elimination of correction factors is impor-

    tant because a major tenet of the risk assessment

    approach is that all assessments should be trans-

    parent, i.e. the basis of all calculation should be made

    explicit (CAC, 1999).

    The spreadsheet interface has also been improved

    through feedback from a diverse range of users. We

    emphasise, however, that while the tool is presentedas an example of how food safety risk assessments

    can be simplified and its benefits made more acces-

    sible to risk managers, the tool is not definitive. It can

    still be improved, and cannot be expected to be

    appropriate to all food safety risk assessment prob-

    lems. We discuss some of the shortcomings and

    tangential benefits of the model below.

    4.1. Evaluation of performance

    We compared the predictions of the model toindependently obtained epidemiological data and esti-

    mates for food-borne illness in Australia and USA to

    calibrate the Risk Ranking value. The estimates

    obtained suggest that Risk Ranking in the range

    6065 describes the status quo for all microbial food-

    borne disease in Australia and USA. We consider

    those to be representative of many developed nations.

    This gives a reference point from which to evaluate

    Risk Ranking values for other product/hazard/path-

    way combinations. It should be noted that the Risk

    Ranking is independent of population size, but

    reflects the relative risk to an individual within the

    selected population. Thus, the Risk Ranking can be

    used potentially to compare the risks across diversefoods, hazards and cultures.

    The USA data enabled the Risk Ranking to be

    estimated from different disease end-points (e.g. esti-

    mated total illness, estimated hospitalisations, esti-

    mated deaths) and revealed that the Risk Ranking

    value depended on the end-point chosen. Perhaps

    surprisingly, then, the Comparative Risk estimated

    from the USA fatality estimates was 10-fold lower

    than the Comparative Risk estimates based on total

    estimated cases or total cases requiring hospital treat-

    ment. In the conceptual model underpinning the tool,

    the weighting applied for disease severity (arbitrarily)

    assumed death to be 1000 times more serious than

    a mild case of illness not requiring medical attention.

    It is clearly difficult to deduce an objective, quantita-

    tive, measure to compare the severity of death to that

    of mild food-borne illness. The Risk Ranking

    values based on USA data but using different disease

    end-points suggest, however, that the weighting fac-

    tors for illness severity used in the model are inappro-

    priate (see discussion further on).

    The prediction of the model for a scenario based on

    a food-borne disease outbreak in Australia was 225cases, within a factor of two of the observed number

    of cases (f 440). The inputs to the model were as

    consistent with the events surrounding the outbreak as

    was possible given the available data. Where no data

    was available, reasonable assumptions or estimates

    based on analogous data or experience were used so

    that, in the scenario modelled, there was little oppor-

    tunity to manipulate inputs to achieve the specific

    results.

    Similarly, using as inputs data taken from Cassin et

    al. (1998b) yielded results that were consistent withthe results of that stochastic risk assessment. The per-

    meal risk predicted by the spreadsheet model was 1 in

    16 million, within the range predicted by Cassin et al.

    (1998b) of 1 in 17 million to 1 in 830,000 meals

    consumed. Clearly, these two examples do not prove

    that the model is reliable. In our experience, however,

    the spreadsheet model predictions are usually within

    an order of magnitude of independent estimates of the

    number of cases of food-borne illness for specific

    product/hazard/pathway combinations. This level of

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    accuracy is expected on the basis of the models re-

    liance on multiplication of a series of weighting fac-

    tors, many of which are in 10-fold increments. Further

    examples of the models performance and utility as arisk management aid are presented in Sumner and

    Ross (this issue), and provide perspective on the rela-

    tion of risk ranking values with recognised hazards.

    4.2. Limitations/weaknesses

    The creation of the model was largely a reactive

    process, i.e., during testing against available epide-

    miological data, when the model failed, the source of

    the failure was analysed and the model modified to

    overcome that deficiency. Despite the apparent utility

    of the model, we have not been able to systematically

    and objectively evaluate the models performance,

    because there are few detailed data sets describing

    exposure and food-borne disease incidence.

    There are other limitations and weaknesses. Some

    are general problems associated with risk assessment

    modelling, while others are specific to the tool pre-

    sented here.

    Even though we have attempted to make the

    questions unambiguous, the intent of the question

    can still be misinterpreted. For example, Question 4

    refers to the proportion of any population that con-sumes the product. It does not need to be adjusted by

    the user when a sub-population is selected in Question

    2, because the spreadsheet model automatically modi-

    fies the size of the population exposed when a sub-

    population is selected at Question 2. Similarly, the

    answer to Question 10 is intended to be based on the

    ID50 for a healthy member of the normal population,

    irrespective of whether a susceptible population is

    selected at Question 2. Again, as described in Meth-

    ods and materials, the calculations in the spreadsheet

    make adjustment for the selection in Question 2.In modelling any complex and variable system, it

    is necessary to balance the need to make simplifying

    assumptions against the loss of detail that ensues. In

    general, the Australian and USA statistics infer a risk

    of mild food-borne illness of one case per person

    every 5 to 10 years, roughly equivalent to a risk of 1

    in 500011,000 meals. While the risk of outbreaks is

    much less, food safety managers are often more

    interested in understanding the sets of specific circum-

    stances that lead to these relatively rare events of

    food-borne illness outbreaks. Using a small number of

    descriptors of those conditions hinders discrimination

    of small, but potentially critical differences, so that

    important information can be lost in the averagingprocess that results.

    Another problem associated with these low levels

    of discrimination is that many choices automatically

    lead to at least a factor of 10 difference in the estimated

    risk. The option within some questions for the user to

    enter a specific value other than those offered arose

    from the realisation that the model could not make

    accurate predictions, unless a wider range of values, or

    narrower intervals between levels, were available.

    Following from the above, it must be emphasised

    that some of the weighting factors employed in the

    model are arbitrarily derived. Other weights may be

    more appropriate. For example, the weighting of

    relative susceptibility to illness of consumers with

    known predisposing conditions (Question 2) is cur-

    rently based on the relative risk of listeriosis. While

    those factors may be broadly appropriate to suscept-

    ibility to infections, they may be irrelevant to the risk

    of intoxications from microbial, or other toxins.

    Earlier, we referred to the weights applied to the

    disease severity descriptors. One way to make these

    weights more objective is to express the severity of

    diseases in terms of days of quality or life lost, a non-specific approach to measuring the health burden of

    illness that is increasingly advocated in the domain of

    public health (HCP, 2000). One such measure is

    disability adjusted life years (DALY), which enables

    the integration of different disease end-points.

    Using this approach, the difference in weights

    given to life-threatening food-borne disease compared

    to mild gastrointestinal forms was suggested to be

    too small (calculations not shown). As discussed

    earlier, the Risk Ranking estimates based on differ-

    ent disease end-points for the USA data similarlyraised the question whether the weights applied to

    disease severity were appropriate. Weight factors

    based on DALYs would also simplify the comparison

    of illness from diverse sources, e.g. the acute effects

    of food-borne infections compared to the chronic

    effects of intoxications from chemical residues,

    increasing the applicability and universality of the

    proposed model. The weights and values used in the

    spreadsheet for these, and other variables, can be

    easily changed as necessary or appropriate. Care

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    should be exercised, however, that such changes do

    not lead to unrealistic values in some of the inter-

    mediate calculations in the model.

    Stochastic approaches to risk modelling are pre-ferred because risk involves the element of probability

    (Cassin et al., 1998a). A limitation of the tool is that

    while it provides an estimate of the most probable

    outcome, it does not provide information about the

    level of confidence we have in that estimate, or more

    importantly, the probable range of illnesses for different

    scenarios. A possible refinement of the model would be

    to allow users to enter a range of values, or distribution

    of values that would offer some of the benefits of sto-

    chastic modelling, but still in a relatively simple tool.

    4.3. Peripheral benefits of the tool

    Apart from its use for ranking perceived risks, the

    spreadsheet tool helps to focus the attention of the users

    on the interplay of factors that contribute to food-borne

    disease. The model can be used easily to explore the

    effect of different risk-reduction strategies, or the

    extent of change required to bring about a desired

    reduction in risk. Users must remember, however, that

    some of the weighting factors are arbitrarily derived.

    Consequently, the predicted effect may not reflect

    reality but only the assumptions on which the modelis based, and users should ensure that the model is

    appropriate to their risk assessment question.

    Whether the mathematical model underlying the

    tool is correct or not, we found the spreadsheet tool to

    be a powerful aid for teaching the principles of risk

    assessment. The model forces users to think about

    factors affecting food safety and can help train food

    safety managers to think in terms of risk, and the

    interaction among factors that contribute to risk, rather

    than in absolute terms such as zero tolerance of

    hazards. Using the model to recreate scenarios quicklyreveals where data critical to estimating risk are lack-

    ing, and so can be used to prioritise research needs.

    5. Conclusion

    The motivation for the development of the risk

    assessment spreadsheet was to facilitate risk manage-

    ment prioritisation. Its application, thus, is similar to

    the Level 1 risk assessment proposed by van Gerwen

    et al. (2000). The model is intended to be generic but

    robust, and to include all elements that affect food

    safety risks. We propose that the tool can be used by

    risk managers and others without extensive experi-ence in risk modelling and as a simple and quick

    means to develop a first estimate of relative risk. It can

    also be used as a training and risk communication aid

    to help determine data needs.

    The tool is preliminary, and should be seen as a

    prototype, not a definitive model. The tool also

    requires that users understand the models limitations.

    Despite those limitations, the model includes all

    elements required to estimate the risk of illness from

    foods. It can be modified to suit the specific question

    of the risk assessor or risk manager, and we have

    indicated possible developments and refinements to

    improve the utility of the tool.

    Tools such as these can help managers to think

    about how risks arise and change and, thus, to help to

    decide where interventions might be applied with

    success. We consider the tool as a useful and con-

    venient aid to help risk managers reach food safety

    decisions more objectively. The spreadsheet can be

    downloaded from: http://www.agsci.utas.edu.au/

    downloads/ratool.zip.

    Acknowledgements

    The authors wish to acknowledge the helpful and

    constructive comments of Dr. D. Jordan, New South

    Wales Agriculture, Dr. D. Schaffner, Rutgers Univer-

    sity; Dr. E. Todd of Michigan State University and Mr.

    A. Fazil of Health Canada that led to improvements in

    the model structure and interface. The spreadsheet tool

    had its inception in food safety risk assessments

    conducted for Australias Dairy Research and Develop-

    ment Corporation, SafeFood NSW and Seafood

    Services Australia. TR also thanks Dr. R. Chandlerand Mr. C. Chan for the impetus and encouragement

    they provided to develop early prototypes of the tool.

    We are also indebted to Meat and Livestock Australia

    for ongoing support for microbial food safety research.

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