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Receptor vulnerabilities 14/305
              tainty  in the  sample data set. A  confidence interval bounds   pipeline-related fires in Canada each year, compared to 70,000
              the uncertainty associated with the point estimate. For example,   other fires and 9,000 forest fires. Their conclusion is that gas
              a  leak rate estimated  to a 95% confidence level  has a  95%   pipelines generally pose little threat to the environment based
              probability of including the true leak rate.   on the low incident of fires initiated by gas pipelines [95].
               When the number of data points available is small, the confi-   *eats   from more persistent pipeline releases include con-
              dence limits are wide, indicating that not enough information is   tamination scenarios as discussed in Chapter 7. Case Study C
              available to be confident that all future data will be close to the   presents a case where damage states for various environmental
              small data set already obtained. Data on pipeline failure rates   receptors were defined.
              are limited. The use of upper limits of statistical confidence
              intervals, especially at a high 95% confidence level, would not   Population
              present meaningful representations of true failure potential. It
              will present unrealistically large predictions, strictly as a result   Many consequence assessments focus on threats to humans. To
              ofthe small number ofdata points available.   estimate potential injury and fatality counts, the population in
               Such uncertainty-adjusted predictions do not represent best   the hazard zone must be characterized. This includes exposure
              estimates of failures. It may be theoretically correct to say, for   times,  which  can  be  estimated  by  characterizing population
              example, that “one can be ninety-five percent confident that   densities at any point in time. This includes estimating
              there is no more than a one in ten chance of a spill in this area”
              as a result of a statistical confidence calculation on limited spill   Permanent population
              data. However, the best estimate of spill probability might be   Transitory/occasional population
              only one chance in ten thousand.            Special population (restricted mobility).
               An alternative to the normal calculation of confidence inter-
              vals  or  bounds  about  the mean  leak  frequency  is  available   A  thorough  analysis would necessarily  require  estimates  of
              for instances where the data set is very small. The confidence   people density (instead of house density), people’s away-from-
              intervals  can  be  calculated  using  methods  that  assume  a   home patterns, nearby road traffic, evacuation opportunities,
              Poisson distribution ofthe leak frequency data [86].   time of day, day of week, and a host of other factors. Several
               The use of confidence intervals in risk communications  is   methods can be devised to incorporate at least some of these
              discussed in Chapter 15.                   considerations. An example methodology, from Ref.  [67], is
                                                         discussed next.
                                                          According  to  Ref  [67],  average  population  densities  per
              IX.  Receptor vulnerabilities              hectare can be determined for a particular land use by applying
                                                         the following formula:
              An “estimate of risk expressed in an absolute terms” modeling
              approach requires identification of a hazard zone and a charac-   Population per hectare = [ 10,000/(area per person)] x (“YO area utilized)
              terization of receptors within that zone. A doseresponse type   x (%presence)
              assessment, as is often seen in medical or epidemiological stud-
              ies, may be necessary for certain receptors and certain threats.   This reference describes the process of population density esti-
              Focusing on possible acute damages to humans, property, and   mation as follows (excerpt, but not direct quote):
              the environment, some simplifying assumptions can bemade, as   Indoor population densities have been based on the number of square
              discussed below and as seen in the case studies in this chapter.   meters  required  per  person  according  to  the  local  building  code.
               As  noted  in Chapter 7,  a  robust  consequence  assessment   Residential dwellings are not covered in this building code, but have
              sequence might follow these steps:          been assigned a value of 100 m2 per person, on the basis of a typical
                                                          suburban  density  of  30  persons  per  hectare  and  one-third  actual
              1.  Determine damage states of interest (see discussions this   dwelling area. For nonresidential use, available floor space has been
                chapter)                                  set at 75% ofthe actual area, to allow for spaces set aside for elevators,
              2.  Calculate hazard distances associated with damage states of   corridors, etc. Based on the above, the indoor populations shown in
                interest                                  Table 14.21 have been estimated.
                                                            For rural and semirural areas, the outdoors population is generally
              3.  Estimate hazard areas based on hazard distances and source   expected to be greatest on major roads (excluding commercial areas).
                (burningpools, vapor cloud centroid etc.) location (seepar-   If an appropriate value for vehicular populations can be determined
                tide truce element in Table 7.6)          then this can be conservatively applied to all outdoor areas. Assuming
              4.  Characterize  receptor  vulnerabilities  within  the  hazard   that a major rural road is 10 m wide, 1 hectare covers a total length of 1
                areas                                     km. For rural areas, an average car speed of 100 km/Iu and an average
                                                          rate of I  car per minute has been assumed. Based on this and an aver-
              This process is rather essential to absolute risk calculations.   age of 1.2 persons per car, an outdoor population density of 1 person
                                                          per hectare has been determined. Using 60 kmihr and a 30-second
               Environmental damages are often very situation dependent   average separation, a population density of 4 people per hectare is
              given the wide array of possible biota that can be present and   applied to semirural areas. For rural commercial outdoor areas and
              exposed  for varying times under  various scenarios. Thermal   urbdsuburban outdoor areas, the population values given shown in
              radiation levels for non-piloted ignition of wood products can   Table 14.22 are suggested.
              be used as one measure of an acute damage state. A drawback
              might be the uncertainty surrounding the spread of a fire, once   Other typical population densities from another source (Ref.
              ignition in some portion of the environment has occurred. One   [43]) are shown in Table 14.23. (Discussions regarding valua-
              Canadian study concludes that there are on average about two   tions placed on human life can be found in Chapter 15.)
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