Could a ‘safest’ option on sat navs save lives?

Authors

  • Tobias Jolly

    1. Biochemistry graduate with a keen interest in the statistics of risk. He is currently travelling around Australia in a campervan, mostly sticking to the highways.
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Abstract

The quickest route on a sat nav isn't always the best, especially when it comes to safety. Tobias Jolly wonders how many road deaths could be averted if route planners took account of micromorts.

Since the start of our relationship, my partner and I have disagreed about the best way to travel the approximately hour-long journey between our homes on either side of the Peak District. She prefers the well-lit M60 and M62 route, feeling that it is considerably safer. I prefer the Woodhead Pass, as suggested to me by Google Maps. It is a quicker route which winds its way by A-road rather than motorway, over the hills. While I know motorways are safer, I felt that my partner was being overly cautious. So I set about trying to work out just how different the two routes were in terms of safety.

Using data on the number of fatalities and the traffic volume of each road class1, I was able to produce Table 1. This table gives us a fairly low-resolution map of the safety of the roads in Great Britain. (In reality, some roads may be over 10 times more dangerous than the average for their road class; see http://bit.ly/1hFgUdw. Data on risks of specific roads would be even more powerful for comparing the risks of various route options.)

Table 1. The probability of death per mile on the different classes of roads in Great Britain in 2012 (the most recent year for which this data is available), in micromorts (1 in 1 000 000 chance of death). These values include the risk incurred by non-motorists
Road classMicromorts per mile
Motorways0.000 98
Urban A roads0.001 84
Other urban roads0.001 79
Rural A roads0.005 64
Other rural roads0.006 24
All roads0.003 33

By looking at how far I travelled on each road class during the two routes, I could then calculate the difference in the number of micromorts per trip (Table 2). With a micromort value of 0.192, Google's suggested route is 54% more dangerous than the motorway route, which has a micromort value of 0.125; this means I could reduce my risk of death by 35% by taking the motorway.

Table 2. A comparison of two routes between West Yorkshire and Cheshire: a route suggested by Google Maps via the Woodhead Pass, and a route via the M60 and M62 motorways, with the distance travelled on each road class and the number of micromorts incurred on each route
 Distance travelled (miles)  
RouteMotorwayUrban A roadsOther urban roadsRural A roadsOther rural roadsTotalTime (minutes)Micromorts
Suggested0.00.00.025.27.933.1640.192
Motorway35.00.00.016.00.051.0710.125

It's clearly not in Google's interests to be sending Maps users down riskier routes. But in keeping with most route planners, including in-car satellite navigation devices, there is no obvious way for users to request the safest option.

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This realisation led me to a slightly more significant question: how many deaths could be avoided if route planners sent car drivers on the safest routes possible?

A simple equation for working this out can be represented like this:

display math

where N is the number of avoidable deaths, D the total number of car occupant deaths, R the average reduction in risk if the safest route is taken instead of the route suggested, and J the proportion of miles travelled on suggested routes.

In 2012, the number of car occupant deaths, D, was 801.

Estimating R and J appears to be pretty difficult. Good data regarding either is hard to come by, but we can at least try.

The 35% decrease in risk I calculated on my journey is probably not representative of the potential risk saving on all suggested journeys. One problem with finding a good estimate for R is the distribution of journey distances2. There are far more journeys at the bottom end of the journey length distribution, but these journeys make up a small proportion of the overall miles travelled – and presumably risk incurred (Figure 1). The shortest 55% of journeys (those under 5 miles) account for only 15% of the miles travelled. At the other end of the distribution, the longest 10% of journeys (those over 20 miles) account for over 50% of the miles travelled.

Figure 1.

Journey length distribution for UK car journeys during 2012. Estimated from National Travel Survey grouped data2. The x-axis of this graph is truncated

With this in mind I produced 50 sample journey lengths by taking a representative sample from this distribution. For each distance in the sample I found a random postcode (http://bit.ly/1it28bi) for the starting point and made the destination the given distance away in a random direction. I could then compare the route suggested by Google for each of these journeys to a route that appeared safer, usually based on less time spent on rural roads or more time spent on motorways. (An intelligently designed routeing algorithm would almost certainly be much better at picking the safest route than me. Safety reduction estimates are therefore somewhat conservative.) The percentage reduction in risk between the suggested and safest route could then be calculated for each journey, as I did in Table 2. Weighted by journey distance, this resulted in an estimated average risk saving of 11.5% across the whole distribution.

11.5% is therefore the average reduction in the risk that an individual would be subjected to while travelling by car, provided they always travelled by the safest route instead of the suggested route.

This is somewhat of an oversimplification, however. The shorter journeys were often impossible to improve on in terms of safety and could usually be made only slightly safer compared to longer journeys. A simple model based on the sample journey data predicts that the longer a journey is, the greater the potential safety savings. Using this model and assuming that route planners are used on the longest journeys from the distribution, the sensitivity of the percentage of avoidable car deaths to route planner use was estimated (Figure 2, solid line). The dashed line in Figure 2 assumes that the journeys involving route planners are found uniformly across the journey length distribution. The true sensitivity is probably somewhere between these two lines.

Figure 2.

The sensitivity of the expected percent of avoidable car deaths due to route planner use. The solid line assumes that the journeys on which the route planners in question are used come from the given percentage of journeys at the long end of the journey length distribution. The dashed line assumes that the journeys on which the route planners in question are used are representative of the journey length distribution

We can see that, due to the journey length distribution above, estimating J alone is not enough. In order to make a sensible estimation of the avoidable deaths, we need to know how the journeys on which individuals travel using a route planner are distributed. There is some research which confirms the assumption that sat navs are used on longer journeys, and also that people who drive further overall are more likely to use a sat nav3. But this is not enough.

In the absence of specific data, I found an estimate of sat nav use in 20084 and assumed that the rate of use among owners was at the same level in 2012. This resulted in an estimated sat nav use of 35% of journeys. At 35% route planner use, assuming they are used on the 35% longest journeys (solid line in Figure 2), the potential percentage of avoidable deaths would be about 11%. Based on these estimates, an estimated 88 car occupant deaths per year could be avoided by the use of a “safest” option on sat navs. There is clearly a lot of uncertainty here, however: the calculation of both the route planner use and the sensitivity of the avoidable deaths to route planner use are based on several assumptions.

An estimated 124 deaths per year could be avoided if all car drivers travelled the safest routes

By excluding the uncertainty that derives from trying to look only at journeys that use route planners we can make a broader claim with more confidence, asking instead how many car occupant deaths could be avoided if all car drivers travelled the safest routes to their destinations. A bit of an ask perhaps, but what if every driver considered safety for every trip? We could simply use the average calculated across the whole journey length distribution: 11.5%. An estimated 92 car occupant deaths per year could be avoided if all car drivers travelled the safest routes. This may in fact be an underestimate, since route planner users appear to travel more safely to their destinations than non-users. The change from traditionally worked-out routes (with maps and signage) to suggested routes results in significant reduction in journey time and distance3. This potential risk reduction could be added to the risk reduction from travelling the safest routes if we are imagining 100% route planner use.

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From a public health perspective we could also consider the risk to pedestrians that cars produce. This changes the micromorts for each road type and changes the total number of deaths in 2012 from 801 to 1075. This would give us an estimate of the total number of avoidable deaths if all UK car drivers travelled the safest routes to their destinations. An estimated 124 deaths (car occupants and pedestrians) per year could be avoided if all car drivers travelled the safest routes.

There would of course be costs to safer routes that have not been considered here. Journey times might be longer, leading to increased fuel usage (which brings with it environmental costs). There may also be diminishing returns as more people are sent down the safer roads, creating greater amounts of congestion as people cram onto motorways and urban roads. These costs would presumably be counteracted, at least partially, by reduced medical intervention and insurance costs, not to mention the personal suffering that results from a serious traffic accident. In practice, however, these factors should probably be included in any route judgement. In principle at least, I have established that there may be many deaths that could be avoided by the presence and use of a “safest” option on route planners such as sat navs and Google Maps.