2.8.1 Fatality Risk
Table 2.9 defined a number of fatality risk measures that may be used. The Potential
Loss of Life (PLL) measure is a basic measure that may be calculated according to
Eq. (2.1). However, this risk criterion has the shortcoming of not incorporating any
exposure measure. As outlined in Figure 2.11, it is also necessary to make a clear
distinction between individual risk and group risk.
The most commonly used risk measures for individual fatality risk are the Average
Individual Risk (AIR) and Fatal Accid ent Rate (FAR). The AIR measure is calculated by
dividing the PLL by the number of people exposed, e.g. the crew size on a merchant ship.
In some accident cases only the number of crew on duty are considered. The FAR value
is calculated by dividing the PLL by the total man-hours of exposure, and multiplying
this measure by a compulsory 10
8
scaling value. The FAR is therefore the expecte d
(or experienced) number of fatalities per 10
8
working hours.
Exam p le
Problem
Accidents involving passenger ferries may result in a large number of fatalities, and
hence attract considerable media attention. On the other hand, experts often consider
the objective risk of such large-scale accidents as relatively low. From an analysis of the
safety level of ferries in the UK since 1950 (Spo uge, 1989), it was found that 3 large-
scale ferry accidents resulted in an average of 107 fatalities per accident (i.e. 41% of
the passengers aboard). Over the period of time studied in the analysis, this gives an
average number of about 9 fatalities per year. This average number is, however, not
representative for the real distribution of a high number of fatalities on a few number
of cases.
In the period of time studied, the UK ferry traffic involved an average of
approximately 28 million journeys per year (domestic and international), one return
journey per passenger per year, and a typical journey duration was estimated to be 3 .5
hours. Given this information, find the Average Individual Risk (AIR) and the Fatal
Accident Rate (FAR) for UK ferries.
Solution
Assumptions:
The relatively low number of accidents is representative of the risk picture of UK ferries.
Analysis:
The Average Individual Risk (AIR) rate can be calculated as follows:
AIR ¼
9 fatalities=year½2 journeys=person½
28 10
6
journeys=year½
6:4 10
7
fatalities=person½
34 CH A PTER 2 MARITIME RIS K PICTU R E