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Department of Science and Technology Institutionen för teknik och naturvetenskap Linköpings Universitet Linköpings Universitet SE-601 74 Norrköping, Sweden 601 74 Norrköping
ExamensarbeteLITH-ITN-KTS-EX--05/005--SE
Side-effects on safety by makingcars lighter to reduce carbon
dioxide emissions.Ulrike Trommer
2005-01-21
LITH-ITN-KTS-EX--05/005--SE
Side-effects on safety by makingcars lighter to reduce carbon
dioxide emissions.Examensarbete utfört i kommunikations- och transportsystem
vid Linköpings Tekniska Högskola, CampusNorrköping
Ulrike Trommer
Handledare Lennart StrandbergExaminator Lennart Strandberg
Norrköping 2005-01-21
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Examensarbete B-uppsats C-uppsats D-uppsats
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LITH-ITN-KTS-EX--05/005--SE
Side-effects on safety by making cars lighter to reduce carbon dioxide emissions.
Ulrike Trommer
Both, reducing CO2 emissions and accidental injuries in road traffic, have been declared high prioritygoals of Swedish and international policy. Measures reducing either one or the other may conflict withone another. Vehicle weight is decisive of fuel consumption and of CO2 emissions. Therefore the effectof vehicle weight reductions on safety was analysed.
This thesis is structured in a qualitative and a quantitative part. While the fist part gives backgroundinformation about developments in road traffic, energy consumption and emissions from road traffic,and car design of the last decades. The second part is devoted to a quantitative analysis of therelationship of vehicle weight and safety. Statistical methods are applied to accident data, containing allpolice reported road accidents that occurred on public roads in Sweden from 1994 to 1999. But onlysingle vehicle accidents and two-car frontal collisions happened in 1999 were taken into account.Because of data limitations only accidents of passenger cars were analysed.
The attempt to quantify the effect weight has on safety on Swedish roads produced mixed results. Buteven though the regression models for single vehicle accidents and frontal collisions fit the data ratherbadly, basic trends could be found. The analyses of single vehicle accidents and frontal collisionsindicated advantages of heavier cars in protecting their occupants, but these advantages seem to be offsetbecause heavier vehicles tended to increase the injury risk of the drivers of the cars they collided with.
road traffic, road safety, vehicle weight reductions, single vehicle accident, frontal collision, vehiclelength, regression
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© Ulrike Trommer
Abstract
Both, reducing CO2 emissions and accidental injuries in road traffic, have been declared high
priority goals of Swedish and international policy. Measures reducing either one or the other
may conflict with one another. Vehicle weight is decisive of fuel consumption and of CO2
emissions. Therefore the effect of vehicle weight reductions on safety was analysed.
The first part of this master’s thesis gives background information about developments in
road traffic, energy consumption and emissions from road traffic, and car design of the last
decades. The second part is devoted to a quantitative analysis of the relationship of vehicle
weight and safety. Statistical methods are applied to accident data, containing all police
reported road accidents that occurred on public roads in Sweden from 1994 to 1999. But in
order to eliminate changes of driver attitude over time (speeding, alcohol and driving, seat
belt usage) accident data from a shorter period of time is used. Only single vehicle accidents
and two-car frontal collisions happened in 1999 were taken into account. Because of data
limitations only accidents of passenger cars were analysed.
The attempt to quantify the effect weight has on safety on Swedish roads produced mixed
results. But even though the regression models for single vehicle accidents and frontal
collisions fit the data rather badly, basic trends could be found. The analyses of single
vehicle accidents and frontal collisions indicated advantages of heavier cars in protecting
their occupants, but these advantages seem to be offset because heavier vehicles tended to
increase the injury risk of the drivers of the cars they collided with.
Keywords:
road traffic, road safety, vehicle weight reductions, single vehicle accident, frontal collision,
vehicle length, regression
Page 1
Table of contents
PART I QUALITATIVE ANALYSIS 6
CHAPTER 1 INTRODUCTION 6
1.1 MOTIVATION 6
1.2 APPROACH AND MATERIALS THAT ARE INTENDED TO BE USED 6
CHAPTER 2 SIGNIFICANCE OF THE PROBLEM 7
2.1 TRANSPORT SECTOR IN GENERAL 7
2.2 ENERGY CONSUMPTION AND EMISSIONS FROM TRANSPORTATION 9
2.3 ENHANCED GREENHOUSE EFFECT 14
2.4 ROAD TRAFFIC SAFETY 16
2.5 SOCIETAL GOALS IN THE TRANSPORT SECTOR 20
CHAPTER 3 ENGINE PRINCIPLES AND CO2 REDUCTION MEASURES IN ROAD TRAFFIC 21
3.1 ENGINE PRINCIPLES 23
3.2 CO2 REDUCTION MEASURES 25
3.2.1 Reduce transport energy use – technical measures 25
3.2.2 Measures to improve fuel economy in safety context 29
CHAPTER 4 SIDE-EFFECTS FROM IMPROVED FUEL ECONOMY 30
CHAPTER 5 CONCLUSION OF PART I 35
PART II QUANTITATIVE ANALYSIS – WEIGHTPROBLEM 36
CHAPTER 6 HYPOTHESES 36
CHAPTER 7 DATA MATERIAL 38
CHAPTER 8 METHODOLOGY 41
CHAPTER 9 PRE-STUDY 42
9.1 DATA IN THE PRE-STUDY 43
9.2 POTENTIAL CONTROL VARIABLES 46
9.3 CORRELATION ANALYSES 47
9.4 RESULT OF THE PRE-STUDY 50
CHAPTER 10 RESULTS OF THE QUANTITATIVE ANALYSES 51
10.1 SINGLE CAR ACCIDENTS 51
10.1.1 Controlled analysis for single vehicle accidents 55
10.1.2 Regression of single vehicle accident data 58
10.2 FRONTAL COLLISION ACCIDENTS 63
Page 2
10.2.1 Controlled analysis of frontal two-car collisions 71
10.2.2 Regression of frontal collision accident data 72
CHAPTER 11 CONCLUSION OF PART II 78
PART III FINAL CONCLUSION 80
APPENDIX A WRITTEN MATLAB SCRIPTS 87
APPENDIX B VARIABLES IN THE ACCIDENT DATA BASE 88
Page 3
Table of figures
Figure 1: Passenger transport in EU15 – Modal split [%] 8
Figure 2: Performance by mode of passenger transport EU15 [1,000 mio pkm] 8
Figure 3: Worldwide per-capita movement of people and freight, 1850-1990 9
Figure 4: Passenger cars in Sweden by fuel used 10
Figure 5: Main emissions from road traffic in the EU [1,000 tonnes] 11
Figure 6: CO2 from fossil fuels by sector [mio tonnes CO2] 12
Figure 7: CO2 emissions from transport in the EU [mio tonnes CO2] 12
Figure 8: Trends in average CO2 emissions, power, weight and engine capacity for all new
cars in EU (base 100 = 1990) 13
Figure 9: Newly registered car in Sweden 1991-2002 by service weight [%] 14
Figure 10: Traffic injury volume model describing the traffic safety problem 17
Figure 11: Cars in use 1/1 2003 by year model (Sweden) 18
Figure 12: Stock of cars with catalytic converter 1987-2003 19
Figure 13: Injured and killed persons in road traffic [%], Sweden 1970-2002 19
Figure 14: Injured and killed persons in road traffic, Sweden 1970-2002 20
Figure 15: Diesel share of newly registered passenger cars [%] 22
Figure 16: Energy use in vehicles 23
Figure 17: Main actors in the causation of environmental problems and policy 26
Figure 18: Usage of fuel energy in the driving process 27
Figure 19: Annual travelled vehicle kilometres as function of vehicle age 40
Figure 20: Vehicles’ weight in pedestrian and animal accidents happened in 1999 – left:
passenger cars; right: heavy vehicles 44
Figure 21: Weight of passenger cars involved in animal and pedestrian accidents 1999 (left)
and vehicle weight of registered passenger cars in Sweden (right) 44
Figure 22: Age distribution of passenger cars involved in animal or pedestrian accidents and
age distribution of registered passenger cars in Sweden [age represented by year
model] 45
Figure 23: Air bag information (animal and pedestrian accidents, 1999) 46
Figure 24: Footprint of passenger cars in animal and pedestrian accidents by weight 46
Figure 25: Animal accidents 49
Figure 26: Pedestrian accidents 50
Figure 27: Driver injury level as function of average weight – single car accidents 51
Figure 28: KSI (absolute) and KSI rate (per 1,000,000 vkm) – single car accidents 52
Figure 29: Proportions of injury levels in light, medium, heavy cars – single car accidents 53
Figure 30: Number of fatal, seriously, slightly injured and not injured drivers in different
weight classes and injury rate per travelled distance – single car accidents 55
Page 4
Figure 31: Fatal and severe injuries by vehicle weight [% of group’s total] – 407 single car
accidents 1999 meeting the requirements for the control variables 56
Figure 32: Proportions of injury levels in light, medium, heavy cars – single car accidents
(controlled) 57
Figure 33: Number of fatal, severe, minor and no injuries to drivers in different weight classes
and injury rate per travelled distance – single car accidents (controlled) 58
Figure 34: Injury levels of drivers involved in single car accidents 1999 60
Figure 35: Regression – classification by vehicle weight (single car accidents) 62
Figure 36: Regression – classification by vehicle length (single car accidents) 62
Figure 37: Driver injury level as function of avg. weight – frontal collisions 1999 (N=1370) 64
Figure 38: KSI in absolute numbers and KSI rate per 1,000,000 vkm – frontal collisions 65
Figure 39: Injury rates of both cars involved in a frontal collision 65
Figure 40: Number of fatal, seriously, slightly injured and uninjured drivers in different weight
classes in collisions with the same car type and injury rates per travelled distance 67
Figure 41: Number of fatal, seriously, slightly injured and not injured drivers in different
weight classes in collisions with cars of different weight and injury rates per travelled
distance 67
Figure 42: Injury proportions in the light car (car 1 – left / car 2 – right) in frontal collisions 70
Figure 43: Proportions of injury levels in five weight classes of the other car’s weight 72
Figure 44: Injury levels of drivers involved in frontal collisions 1999 (by weight/length) 73
Figure 45: Regression – classification by vehicle weight (frontal collisions) 76
Figure 46: Regression – classification by vehicle length (frontal collisions) 76
Figure 47: Relation between vehicle weight and length –classes by vehicle weight 77
Figure 48: Relation between vehicle weight and length – classes by vehicle length 77
Table of tables
Table 1: Causes of disease or injury worldwide 16
Table 2: Measures for influencing transport energy use 25
Table 3: Relative likelihood of driver fatality in a car of mass mi involved in a crash with a car
of mass mj 32
Table 4: Main accident databases 38
Table 5: Correlation factors for animal and pedestrian accidents – linear correlation 48
Table 6: Regression coefficients – single vehicle accidents 61
Table 7: Relative injury risk for minor, severe and fatal injuries in frontal collisions 68
Table 8: Interval boundaries for expected values of proportion of injury levels in light cars in
collision with another light car compared to collisions with other heavier cars 70
Table 9: Regression coefficients – frontal collision accidents 75
Page 5
Abbreviations
CO2 carbon dioxide
mio pkm million passenger-kilometers
GDP Gross Domestic Product
EU European Union (before the enlargement in 2004)
IPCC Intergovernmental Panel on Climate Change
VOCs voltic organic compounds
NOx nitrogen oxides
CO carbon monoxide
PM particulate matters
CFCs chlorofluorocarbons
GHGs greenhouse gases
GNP Gross National Product
HC hydro carbon
KSI number of drivers killed or seriously injured
ppm particles per million
g grams
km kilometres
g/km grams per kilometre
LTV Light trucks and vans
SUV sport utility vehicles
KI drivers killed or injured (seriously/slightly) also referred to as INJ
vkm vehicle kilometres
N total number of cars (Figure 37)
FARS Fatality Accidents Reporting System
Page 6
PART I QUALITATIVE ANALYSIS
Chapter 1 Introduction
1.1 Motivation
During the 20th century the transport sector played a vital role in the economic development
and improved the mobility in terms of travel time and travelled distance. Along with this, an
improved quality of life for citizens in the developed world can be seen. However since the
1980s the concern about the impact of especially road traffic on human health and the
environment have increased. Globally of great concern are carbon dioxide emissions from
road transport; they are seen as substantial contributors to global warming via an enhanced
greenhouse effect. Over the last two decades, CO2 abatement has been a factor of great
importance in international policy.
Another crucial issue for every society and its economy is road safety; especially accidents
causing fatal or severe injuries are of great concern. European transport policy promotes
sustainable mobility, which should conclude in a transportation that ensures economic
growth while restraining damages on health and environment. Measures to enhance fuel
efficiency, reduce pollution and to use the existing infrastructure in a highly effective and
safest possible way are requested by that policy.
Assuming that the vehicle industry adapted vehicle and engine design in order to serve the
CO2 reduction policy, this master’s thesis intends to investigate the effect this policy of the
last 20 years might have had on road safety.
The thesis will not elaborate on the questions whether climate changes are due to variations
of CO2 contents in the atmosphere or vice versa or due to any other reasons or if measures
to reduce CO2 emissions from vehicles will increase pollutants threatening human health and
the environment, such as NOx from Otto engines or particles from Diesel engines.
1.2 Approach and materials that are intended to be used
I will start my thesis describing the context of road traffic, environment and road safety. This
description includes also a view on the international and Swedish policy in the mentioned
areas. As the vehicle manufacturers have to obey these policies the vehicle engine and
design developments, which are meant to improve fuel economy and by that reduce the CO2
exhaust, are examined in the following sections. The qualitative part of the thesis will focus
on these introductive explanations and a discussion of safety side-effects of weight reduction
as a measure to reduce CO2 emissions. The latter aspect includes a literature review of
Page 7
research done in the field of vehicle weight and road safety. The review serves as a basis for
the main part of my master’s thesis. This second part wants to answer the question, which
impact vehicle weight reduction has on road safety.
Statistical methods are applied to accident data, containing all police reported road accidents
that occurred on public roads in Sweden between 1994 and 1999. In order to evaluate the
effect of reduced vehicle weight single vehicle and two-vehicle accidents are analysed. In a
pre-study the variables are selected for which the analysis has to be controlled. For the
special cases of two-vehicle accidents with frontal impact and single vehicle accidents I will
attempt to quantify the change of accident consequences in relation to vehicle weight.
Chapter 2 Significance of the problem
2.1 Transport sector in general
Transportation is defined as the mean to satisfy the fundamental human need of mobility;
distances to destinations of interests are bridged by different means of transportation. While
our mobility has been more or less unchanged (approximately unchanged are the number of
trips per day and person and the trip purposes), the transportation systems became more
convenient, faster and we are able to overcome longer distances. As a result, energy
consumption increased and the structure of cities changed, further transportation became
more inefficient because of longer distances travelled to fulfil the same human needs. In
paragraph 2.2 the aspects of energy consumption and emissions from transportation will be
discussed further.
Since road transport dominates surface transportation in highly industrialised nations around
the world, and the car is the main mode of transporting passengers today (see Figure 1,
Figure 2), this thesis will focus on road safety.
Page 8
0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
1970
1980
1990
1991
1995
1996
1997
1998
1999
2000 passenger cars
buses
tram/metro
railway
air
Figure 1: Passenger transport in EU15 – Modal split [%]1
0
300
600
900
1200
1500
1800
2100
2400
2700
3000
3300
3600
3900
1970 1980 1990 1991 1995 1996 1997 1998 1999 2000
passenger cars
buses
tram/metro
railway
air
Figure 2: Performance by mode of passenger transport EU15 [1,000 mio pkm]2
In the past, a growing road vehicle fleet often accompanied economic growth3; today’s
biggest industry nations have also the highest motorisation levels. A challenge for this
century will be to achieve economic growth without a further growing vehicle fleet.
The reasons for an increasing world’s vehicle fleet are population growth, urbanisation and
economic growth. Annual GDP growth rates over the coming years are estimated to be
highest in China, East Asia, Central and Eastern Europe and the former Soviet Union, which
1 source of data: Eurostat (2000)
2 source of data: Eurostat (2000)
3 OECD (2002), page 23
Page 9
will also stimulate growth in vehicle populations in these regions. As a result, one can
anticipate a global vehicle population of approximately 2.65 billion by 2020.4
It is true that use of advanced pollution control technology, especially catalysts, have been
spreading, as has the use of unleaded gasoline, but road vehicles still cause – especially in
urban areas – air pollution problems. But beyond direct adverse health effects, there are
other concerns about vehicle emissions. Among those is the enhanced greenhouse effect,
which has been subject of scientific debates and international political meetings for the last
two decades. International policy sees in CO2 a substantial contributor to the enhanced
greenhouse effect, following assessments of the Intergovernmental Panel on Climate
Change (IPCC). As road transport is a major contributor to CO2 exhaust from transport
activities, fuel consumption of road vehicles is influenced by today’s climate policy.
Furthermore, weight reductions of road vehicles are seen as one major measure to reduce
fuel consumption and CO2 emissions. Therefore also safety issues have to be addressed by
political debates.
2.2 Energy consumption and emissions from transportation
As it can be seen in Figure 3, the transportation sector experienced a dramatic growth over
the last century. Above all, automobiles became the dominator of passengers’ transport and
even in freight transport road vehicles take a large share of the transportation work.
Figure 3: Worldwide per-capita movement of people and freight, 1850-19905
4 www.oecd.org
Page 10
80%
85%
90%
95%
100%
1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
Gasoline Diesel Electricity Others
Figure 4: Passenger cars in Sweden by fuel used6
A growing transport sector has demanded a constantly increased amount of energy. Today’s
road transportation uses above all gasoline and diesel as sources of energy. In passenger
transportation gasoline plays the dominating roll (see Figure 4). Road vehicles are major
sources of voltic organic compounds (VOCs), nitrogen oxides (NOx), the precursors to both,
tropospheric ozone and acid rain, carbon monoxide (CO), toxic air pollutants such as diesel
particulate (PM), and chlorofluorocarbons (CFCs).
Unlike the emissions mentioned so far (and presented in Figure 5), which are pollutants and
can be reduced by technologies, carbon dioxide (CO2) emissions are not toxic but directly
proportional to the quantities of fuel consumed.7 Therefore, CO2 emissions of a road vehicle
can be controlled via fuel consumption. The amount of fuel consumed by an automobile is
determined by its design and the technologies applied, whether the car is used or not, driver
behaviour and the conditions under which it is used. Discussions of measures that address
energy reduction of the transportation sector as whole are part of Chapter 3.
5 source: Pastowski, Gilbert (2003), p. 2
6 source of data: BIL Sweden (2003)
7 gasoline vehicles emit 2.38 kg of CO2 per litre of fuel; diesel vehicles emit 2.66 kg of CO2 per litre of
fuel
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0
5000
10000
15000
20000
25000
30000
35000
40000
Nox CO NMVOC SO2
1,0
00
to
nn
es
EU15 - total
of which transport
of which road transport
Figure 5: Main emissions from road traffic in the EU [1,000 tonnes]8
Some technical measures that reduce fuel consumption and CO2 emissions will increase
certain pollutions, such as nitrogen oxides. Though such side-effects may be highly relevant
for the environment, they are beyond the limits of this thesis.
Road traffic is by far not the only source of CO2 emissions, but in the EU transportation it is
besides electricity production and heating the most important one from fossil fuels (Figure 6).
Road traffic is the major source of CO2 emissions from transportation (Figure 7). As these
figures illustrate, CO2 emissions from transport and especially those from road transport are
still increasing in absolute numbers and also in proportion to other sectors. Another
contributor, the industry sector, reduced its CO2 emissions but a restructuring process during
the 1990s can explain most of this trend. During the same period the European road vehicle
fleet experienced a dramatic growth. As road traffic is the most important source for CO2
emissions from transportation, manufacturers of road vehicles made high fuel economy a top
priority - initiated by international policy, but also as selling factor - but all improvements,
which were made, are offset by a growing fleet and longer distances travelled.
8 source of data: Eurostat (2000)
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0
500
1000
1500
2000
2500
3000
3500
1990 1995 2000
Electricity & heating Energy branch Industry Households, commerce Transport
Figure 6: CO2 from fossil fuels by sector [mio tonnes CO2]9
550
600
650
700
750
800
850
900
950
1990 1995 2000
road transport air transport inland navigation railways (without electricity)
Figure 7: CO2 emissions from transport in the EU [mio tonnes CO2]9
Even though an improved fuel economy of the single car is an important complement in a
CO2 reduction strategy the fact that it can only be the result from trade-offs has to be
considered. Trade-offs must be made with vehicle characteristics such as acceleration and
handling, comfort, reliability, size, style, low NOx or particle exhaust emissions, noise, costs
in use, and possibly safety as well.
Contrary to the goal to improve fuel economy Van den Brink et al (2002) shows that specific
fuel consumption of the Dutch car fleet has not shown any decrease since 1990. Even
though new very efficient car models enter the market, people seem to be willing to spend
9 source of data: Eurostat (2000)
Page 13
more money on bigger, faster cars. As a result, already existing car models became heavier
and got bigger engines. Figure 8 shows that Van den Brink’s findings are also valid for the
rest of the EU.
Figure 9 reveals a trend to even heavier cars in Sweden, where one can find already today
one of the heaviest vehicle fleets in the EU. While in the beginning of the 1990s 10-20 % of
all new registered cars had a weight of 1,500 kg and more, 10 years later a share of almost
50 % weighs that much.
Figure 8: Trends in average CO2 emissions, power, weight and engine capacity for all new cars
in EU (base 100 = 1990)10
While new light cars came and are still coming into the market on one end of the mass scale,
the already existing cars move towards the other end of this scale, as a result the mass
range increases. This increased mass range can decrease the safety of a vehicle fleet. The
quantitative Part II will also address this problem.
10 source: ECMT (2000), p. 8
Page 14
0%
20%
40%
60%
80%
100%
1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002
1700 kg -
1500-1699 kg
1400-1499 kg
1300-1399 kg
1200-1299 kg
1100-1199 kg
1000-1099 kg
900-999 kg
800-899 kg
-799 kg
Figure 9: Newly registered car in Sweden 1991-2002 by service weight [%]11
As already stated in the introductory chapter, it is out of the limits of this thesis to discuss
whether CO2 is a cause for currently observed tendencies of global warming. But politicians
follow the advices given by the IPCC in order to prevent climate change. Much of the work in
international policy and institutions has focused on the development and implementation of
regulatory regimes. Therefore, the theory of enhanced greenhouse effect as elaborated by
the IPCC has an influence on road vehicle fleet and eventually on its safety. The next
paragraph wants to present in short this theory of the enhanced greenhouse effect.
2.3 Enhanced greenhouse effect
The ‘greenhouse’ (or more properly ‘enhanced greenhouse’) effect and the arguments about
its contribution to global warming and the associated climate change have been studied in
detail and discussed for more than a decade.
Climate change is a change in the "average weather" that a given region experiences.
Therefore, the most noticeable effects of climate change are extreme events as storms, heat
waves, floods, and wildfires. Such extreme events have serious impacts on human health,
environmental, social and economic consequences, thus scientists are attempting to predict
changes in the frequency of extreme weather events. Nowadays, it is a common belief that
the earth’s climate is changing because human activities are altering the chemical
composition of the atmosphere through the build up of greenhouse gases – primarily carbon
11 source of data: BIL Sweden (2003)
Page 15
dioxide, methane, and nitrous oxide. Therefore, it is seen as the key issue to measure
humanity’s effect on the concentration of greenhouse gases in order to understand global
climate change.
Under the Kyoto Protocol carbon dioxide, methane, nitrous oxide, halocarbons, HFCs, PFs
and SF6 are defined as greenhouse gases (GHGs). Although they are only trace elements in
the atmosphere they have the important property of interfering with the passage of energy.
The natural greenhouse effect maintains a stable mean global surface temperature, an
essential condition for the development of a stable ecology of the planet. The problem arises
if the greenhouse effect is enhanced by the changed composition of the atmosphere. Human
activities, and notably the generation of excessive amounts of carbon dioxides through the
combustion of fossil fuels, have increased and will continue to increase the atmospheric
concentration of GHGs.
Nonetheless, climate change is still an issue questioned by several scientists. While
stratospheric ozone depletion as an environmental threat of the 1980s had clearly occurred
and could be monitored, the phenomenon of climate change remains a hypothesis. It can
and will be disputed further on and will only be fully observed well by future generations.
During the last decade different evidences of warming were brought into discussion, but
there still does not exist reliable data confirming the climate change. But as said before, this
paper will not discuss the existence of the enhanced greenhouse effect, but wants to reflect
the fact that the measures to control climate and restrain global warming by reducing CO2
emissions may have influenced road safety.
It is true, that road traffic produces a huge share of the release of over 6 billion tonnes of CO2
per annum into the atmosphere. The IPCC estimates the contribution of CO2 emissions to
enhanced greenhouse effect as being 55 % of all the GHGs (since industrialised times).
Differential distribution of responsibility for GHG emissions on the one hand and probable
impacts on the other hand made it almost impossible in the past to reduce CO2 emissions. In
terms of carbon dioxide emissions there is an asymmetry between the contributions of
developed and less developed economies. It is believed that economic growth and transport
growth are linked, therefore developing countries try to reach higher levels of motorisation.
The future challenge is to assure economic growth without increased or only moderate
increased CO2 emissions.
After having shown the possible connection between road traffic and the climate change, I
will discuss in the next section road traffic safety as another societal problem.
Page 16
2.4 Road traffic safety
Road traffic accidents are the leading cause of death by injury, the 10th leading cause of all
deaths and the 9th leading contributor to the burden of disease worldwide. They represent a
rapidly growing problem, with deaths from injuries projected to rise from 5.1 million in 1990 to
8.4 million in 202012.
Table 1: Causes of disease or injury worldwide12
In 2020 road traffic disability-adjusted life years lost is estimated to have moved from being
the 9th leading cause of disability-adjusted life years lost to the 3rd leading cause (see Table
1). The quantity of disability-adjusted life years is a measure representing the loss of years of
‘healthy life’. By that causes of diseases or injuries are comparable.
The absolute number of road traffic fatalities is on a relatively low level in Sweden and some
other western European countries, but still, road traffic accounts for more than 40,000
fatalities and for about 1,700,000 seriously injured every year in the European Union (EU).
It’s not only people, who suffer from traffic accidents, also the economy is damaged by that.
Road traffic accidents cost the EU every year € 160 billion, that equals 2 % of the EU GNP13.
Numerous factors influence a country’s safety level. These factors concern transport policy,
distribution and crashworthiness of the car fleet, road network characteristics, human
behaviour and attitudes, etc. A broad range of measures can be introduced to reduce road
traffic casualties. A model presented by Rumar (ETSC, 1999) uses three dimensions to
describe the road safety problem: ‘exposure’ (E), accident probability (‘accident risk’ A/E) for
a certain exposure, and ‘injury risk’ (I/A) when an accident has occurred. The magnitude of
the traffic safety problem (the ‘injuries’ I) is the product of these three factors
(I = [E] x [A/E] x [I/A], see Figure 10).
12 source: WHO (2001)
13 http://europa.eu.int/comm/transport/road/library/rsap/memo_rsap_en.pdf
Page 17
Figure 10: Traffic injury volume model describing the traffic safety problem14
The first dimension of this model, the exposure to road traffic, could be the most effective
one reducing the safety problem. But we have seen an adverse trend, a growing vehicle
fleet, a road network that is getting longer and an increasing vehicle mileage. The other
countermeasure dimensions, accident probability and injury risk, were addressed by
developments of the car industry as manufacturers try to make modern cars safer.
In the past, improved safety was reached because of improved passive safety, also referred
to as crashworthiness, while recent developments aim to improve active safety of road
vehicles as well, such systems help the driver to avoid accident involvement. Broughton
(2003) investigated passive safety of the British car fleet. Road accident data from 1980-
1998 was used to develop a model to estimate the reduction in the number of occupant
casualties over this period due to improvements in passive safety. Broughton found that the
most modern cars produced less KSI (killed and seriously injured) than older cars. He
concluded that this benefit of more modern cars could be attributed to improvements in
passive safety.
The Swedish passenger car fleet is quite unique in Europe, as cars in Sweden get rather old.
Almost 50 % of the passenger cars registered in Sweden are 10 years old or even older (see
Figure 11). Such a high percentage of old cars could also have a negative effect on road
safety. The fleet benefits less from improvements in passive and active safety, as concluded
by Broughton (2003). The Swedish government intended to change the situation of old and
maybe unsafe cars in the Swedish vehicle fleet. A changed scrapping policy was already
14 source: ETSC (1999), p. 22
Page 18
successfully introduced. The Swedish society profits from replacing these old cars from a
safety (e.g. airbag) and environmental (e.g. catalyst) point of view.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Cars in use 1/1 2003 by year model
2002200120001999199819971996199519941993199219911990198919881987198619851984198319821981 and older
1981 and older - 1992
Figure 11: Cars in use 1/1 2003 by year model (Sweden)15
Swedish car manufacturers have the reputation to produce very safe cars. And so is Sweden
known as a country with a rather small traffic safety problem. But still, every person seriously
injured or killed in traffic is one too much (see paragraph 2.5), so anything possible has to be
done in order to avoid serious and fatal injuries in road traffic.
Lots of measures reducing accident risk or consequences are not related to car design or
technology. Measures improving the infrastructure affect the whole fleet and can therefore be
highly effective. But since this thesis tries to compare risk of light and heavy road vehicles,
measures referring to other aspects than the vehicle weight will not be discussed further.
15 source of data: BIL Sweden (2003)
Page 19
0
500.000
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2.000.000
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1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003
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Cat-car portion of pass.cars [%]
Cat-car portion of vkm [%]
Figure 12: Stock of cars with catalytic converter 1987-200316
0%
20%
40%
60%
80%
100%
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killed severe injuries minor injuries
Figure 13: Injured and killed persons in road traffic [%], Sweden 1970-200217
Nonetheless, Sweden is one of the safest countries and has the ambitious goal that no one
will be killed or seriously injured within the Swedish road transport system. But lately also
Sweden has to struggle with an increasing number of killed or severely injured persons (see
Figure 14).
16 source of data: BIL Sweden (2003)
17 source of data: SIKA
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0
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Sev
ere
and
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s
killed severe injuries minor injuries
Figure 14: Injured and killed persons in road traffic, Sweden 1970-200217
2.5 Societal goals in the transport sector
The so-called “Vision Zero” passed the Swedish Parliament in 1997 and it is estimated that
the number of fatalities will have been reduced by quarter to one third during the first ten
years after that. The long-term goal of “Vision Zero” is that no one will be killed or seriously
injured within the Swedish road transport system.
The “Vision Zero” approach concentrates on the whole system and how it can operate safely
as a whole. Also, “Vision Zero” means moving the emphasis away from trying to reduce the
number of accidents to eliminating the risk of chronic health impairment caused by road
accident. The long-term objective is to achieve a road transport system allowing human
errors without leading to serious injuries.
While the concept of “Vision Zero” envisages responsibility for safety among the creator of
the system and its users, the creator has the final responsibility for "fail-safe" measures.
Therefore, all political action has to conform to objectives of “Vision Zero”.
Sweden is active in the field of climate policy. There are several points of uncertainty in the
climate change debate, but Swedish policy is based on the “precautionary principle”, which
means it is not acceptable to wait until it can be definitely confirmed that mankind activities
caused the enhanced greenhouse effect, because it will be too late to prevent serious effects
by then.
As mentioned before, the Kyoto protocol focuses the most on CO2 of the six greenhouse
gases listed in the protocol. Roughly 40 % of Sweden’s CO2 emissions have their origin in
transportation. Road traffic accounts for most of those emissions of transportation, which is
roughly one-third of Sweden’s CO2 overall emissions.18
Page 21
The Swedish target concerning GHGs is to at least reduce GHG emissions by 4 % until 2010
compared to the 1990 level. The Swedish action is devoted to prevent the concentration of
GHGs exceeding the equivalent of 550 ppm CO2 equivalents. Under the Kyoto Protocol to
the United Nations Framework Convention on Climate Change Sweden became even
entitled to increase its emissions up to 4 %. But also other countries announced stricter
targets. The EU as a whole shall reduce its emissions by 8 % until 2010 based on the 1990
level.18
There is a diversity of policy instruments for CO2 abatement. Policy instruments reach from
economic and legislative ones to voluntary agreements and dialogue between the state and
business enterprises. The EU environment ministers have set 120 g CO2 per km as a target
that shall not be exceeded by new passenger cars in 2005, or at least 2010. A voluntary
agreement over 140 g/km is negotiated with the European motor industry. Therefore, fuel
efficiency became a major factor in car manufacturing.18
In its bill “transport policy for sustainable development”, the Swedish government judged that
by 2010 emissions of CO2 from transport should have been stabilised at the 1990 level. To
achieve this objective a strategy of improved efficiency of the transport system, coupled with
leaner vehicles and the introduction of renewable fuels has been applied. Policy and industry
have spent a great deal of time and resources on improved fuel economy of passenger cars.
Vehicle design is mostly about compromises of economic and policy demands and demands
from consumers. Since car selling is a replacement business, the car industry is under
constant pressure to find the optimum solution of all demands it is confronted with. An
increased fuel economy can only result from trade-offs that must be made among a variety of
vehicle characteristics, of which one is vehicle safety.
Chapter 3 Engine principles and CO2 reduction measures
in road traffic
In the Swedish passenger car fleet the gasoline engine is predominant. In 2002 just 4.86 %
of all registered passenger cars in use in Sweden were diesel vehicles. As it can be seen in
the figure below, the share of diesel vehicles in new registrations is higher and in the EU this
share of newly registered cars increased enormously between 1990 and 2000.
18 Ministry of the Environment Sweden (2000)
Page 22
0
5
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15
20
25
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35
40
45
1990 1995 1996 1997 1998 1999 2000 2001 2002
shar
e in
%
Sweden EU
Figure 15: Diesel share of newly registered passenger cars [%]19
In this thesis, the four-stroke spark ignited engine is referred to as gasoline engine. As
already said, this engine is the most commonly used engine for passenger cars in Sweden. It
is still often stated in the literature that it is more effective to modify the conventional gasoline
engine instead of a total change of technology in order to obey the tightened emission
standards and fuel economy requirements.
Up to and during the 1970s no concerns about the environment or a lack of resources were
expressed and affected the design process of a car. But oil crises in the 1970s and 1980s
and an increased concern about air quality especially in urban areas set new requirements
for car manufactures. Emissions like NOx, CO and HC depend on engine operation. CO2,
seen as a contributor to the enhanced greenhouse effect, is directly related to the fuel
consumption of a car. It is not possible to remove the latter from the exhaust of a diesel or
gasoline fuelled automobile. The only way to reduce CO2 emissions is to reduce the fuel
consumed, or in other words to improve fuel economy.
The challenge for car manufacturers is to increase an engine’s efficiency in converting fuel
energy to useful work. Figure 16 illustrates to the right the work an engine has to fulfil in
order to move the car, but the most influence on fuel economy have engine and car
components as mentioned on the left.
19 source of data: BIL Sweden (2003)
Page 23
Figure 16: Energy use in vehicles20
Nowadays, more optional equipment is installed and used, which leads to more weight and
consequently to more fuel consumed not to forget the energy demand for operation. On first
sight, one could assume that if car manufacturers will not find possibilities to offset this
increased weight, modern cars would get even heavier and would consume even more fuel.
But the car industry develops new technologies that also increase system efficiency and can
keep fuel consumption at least stable. Some of these technologies will be presented in the
next sections after a short introduction into engine principles.
3.1 Engine principles
As mentioned before, a diesel engine is less used in passenger cars but is dominantly used
in such applications as trucking and farming, because of the high efficiency, high torque
output and durability. Like the most common engine in passenger cars - the spark-ignition
engine -, is the diesel engine an internal combustion engine and works in many ways similar
to the spark-ignition engine. Even though the share of diesel cars is rather small in Sweden,
the list below contains the most fundamental differences, because at least on EU level a
noticeable increase of diesel passenger cars can be seen (see also Figure 15).
20 National Research Council (2002), p. 3-3
Engine
Accessories
Transmission
System Efficiency Road Load
Aerodynamic Drag
Rolling Resistance
Inertia (Weight)
Final Drive
Fuel consumption
Page 24
- Before fuel is injected in a diesel engine air is already drawn into a cylinder and
compressed, while fuel is injected to the air as it is drawn into a cylinder in a spark-
ignition engine.
- As a result of compressing air high temperature ignites the fuel-air mixture in a diesel
engine instead of a spark.
- A diesel engine controls the power output by varying the amount of fuel injected into
the air, thereby varying the fuel-air ratio. This is one of the main reasons why diesel
engines are more efficient than spark ignition engines that throttle the air.
- Another reason why a diesel engine is more efficient is that it runs lean – there is
always more air than is needed to burn the fuel. The fuel-air ratio in a spark-ignition
engine is fixed to stoichiometric conditions (perfect conversion).
For both engine types the compression ratio is an important factor, since higher compression
ratios lead to higher thermal efficiencies and better fuel economies. The compression ratio is
defined as the ratio of the cylinder volume at the beginning of the compression stroke to the
volume at the end of the compression stroke. Diesel engines need high compression ratios
for fuel autoignition, while spark-ignition engines use lower compression ratios (to avoid
knock, i.e. premature/self ignition). A well-mixed air-fuel mixture is essential for complete
combustion. Fuel that does not burn completely will contribute to hydrocarbon and particulate
emissions. Because a diesel engine runs lean it can come close to a complete mixing of all
fuel and air in the cylinder.
Short comparison of exhaust emissions:
Like fuel-air mixtures differ in diesel and gasoline engines, do the exhaust emissions differ.
Diesel exhaust tends to be high in NOx and particulates. But unlike the exhaust of spark-
ignition engines, diesel exhaust contains much less unburned or partially burned
hydrocarbons (HC) and carbon monoxide (CO).
With a richer fuel-air mixture (lambda < 1) the engine has maximum power per displacement
volume and available air supply, which gives good acceleration (design until the 1970s).
Moderate lean mixtures (1 < lambda < 1.5) offer good fuel economy but high emissions of
NOx and were used until 1980, especially at medium loads. Lean mixtures (lambda > 1.5)
give high efficiency and reduce the NOx emissions. This technique is utilised in lean-burn
engines at low and medium loads.
Because diesel engines have access to oxygen, CO emissions are generally low, and they
also emit low levels of HCs. But diesel exhaust contains more NOx. Particulates emissions
are a problem of the exhaust of diesel engines. High emissions of particulates are likely to
Page 25
occur at higher engine speeds and loads, because the total amount of fuel injected increases
and the time available for combustion decreases.
3.2 CO2 reduction measures
There are certainly several strategies that can be applied to reduce the CO2 emissions from
transportation. The first option is to reduce the volume of transportation. A society can
achieve less traffic with integrated planning for a traffic minimising land use planning. Also
pricing policy can control the traffic demand. But it seems rather impossible to achieve
reduction in road transport worldwide, since nations like China are already on their way to
higher motorisation.
As second option, alternative fuels and new engine technologies might allow transportation
growth with less CO2 emissions. But this second option cannot solve the problem in the near
future. Such a substitute to gasoline and diesel would have to provide resources to
guarantee fuel security for today’s world fleet.
The most realistic and promising way might be to improve fuel economy, since CO2 is a
direct product of the combustion process. In order to reduce fuel consumption land-use
planning can help to reduce travel distance, but in the short run, the fuel economy of every
single car has to be improved.
3.2.1 Reduce transport energy use – technical measures
Technical measures are definitely the most favoured to reduce transport energy use. But this
strategy of technical measures is not as successful as needed. To effectively reduce fuel
consumption and associated greenhouse gas emissions only a mix of different measures can
be effective. Other measures, as listed in Table 2, are regulatory measures, pricing-policies,
infrastructure (planning) and organisational measures. Table 2 also summarises possible
options for each type of measure.
Measures Options
Technical Engines, fuels, infrastructure, telematics Regulatory Emission limits, recycling targets, speed limits Pricing-policy Internalisation of external costs, taxation Infrastructure Infrastructure development, spatial structure / land use Organisational Integrated policy making and planning, assessment
Table 2: Measures for influencing transport energy use21
21 following: OECD (1995)
Page 26
Solving such a problem as enhanced greenhouse effect becomes complicated not at least
due to the different actors causing it. Figure 17 demonstrates the main actors causing such
an environmental problem.
The Government provides infrastructure, which makes road transportation possible, which
again is harmful to the environment and human health (accident risk). Car design
characteristics and the production processes itself contribute to both the environmental as
well as the safety problem. Consumers could demand highly fuel-efficient cars to reduce CO2
for example by the manner in which they make use of the car. But of course industry also
influences consumer demand through the scope of supplied alternatives, price, marketing,
and public relations activities.
Figure 17: Main actors in the causation of environmental problems and policy22
But this thesis cannot make the effort to find the right mix of measures to reduce the CO2
emissions from transportation to a level, which is considered not harmful. Because one
strategy to achieve reduced specific fuel consumption of the individual road vehicle is the
reduction of vehicle weight, this thesis makes the attempt to evaluate if this strategy conflicts
with road safety. But some technologies will be mentioned here in order to give examples for
what the industry has done so far to reduce fuel consumption and CO2 emissions.
As car manufacturers intend to sell cars, fuel economy can only be one aspect in the
production process. But not only the consumer dictates the importance or unimportance of
22 source: Pastowski, Gilbert (2003), p. 15
Page 27
improved fuel economy among factors like engine power, handling and driveability or
comfort, the car industry has to keep itself alive. This includes that the product car itself and
its use has to be affordable for the majority of people. Since only restricted oil resources can
be used for transportation, improved fuel economy contributes that these resources last
longer. Therefore, car manufacturers have a natural interest to minimise the fuel
consumption of the produced cars. Especially the oil crises in the 1970s and 1980s reminded
the society of the restriction of oil resources, and in the aftermath new technologies where
incorporated. But besides minimised fuel consumption, the engine management system must
meet and compromise between several goals, such as: produce good driveability, maximise
the engine performance, and give low emissions.
Figure 18 shows how the chemical energy of fuel is used in the driving process. Only a
portion of about one fifth is used for driving operation.23 The figure shows main potentials to
improve fuel economy that would also result in reduced CO2 emissions.
Figure 18: Usage of fuel energy in the driving process24
Technical measures are not likely to conflict with safety, but a short excurse of technical
measures is included here to show on the one hand possibilities to improve fuel economy
without increasing the safety problem. On the other hand I want to stress that measures like
the following have to be evaluated from an environmental point of view in order to assure that
23 National Research Council (2002)
24 source: National Research Council (2002), p. 3-3
Page 28
CO2 reduction measures will not increase other emissions. But such an evaluation is out of
the limits of this thesis.
Corresponding to Figure 18, a range of different technologies can help to improve fuel
economy of a road vehicle.25 The following list gives some examples:
- Improved aerodynamics;
- New (and lighter) materials;
- Improved engine design;
- Transmission design;
- Lubricants;
- Low rolling resistance tyres.
Using new (lighter) material is an often-applied measure not at least to keep the mass stable
after adding additional accessories; aluminium is an often used material in this context.
Engine design tries to reduce engine friction related to the piston and bearings, which
contribute about 45 % of the engine frictional losses. One possibility to reduce pumping
losses is variable valve timing. A second alternative is exhaust gas recirculation (EGR). EGR
– originally used in NOx control management – can provide the same benefit as variable
valve timing together with improved combustion.
The third alternative is the lean engine, such as the GDI engine. These engines have a
higher thermal efficiency. Under light load does the GDI engine run at air fuel ratios similar to
a diesel engine. But this advantage is also a problem, because a new catalyst type is needed
which maintains operation under these lean conditions. Transmission design also provides
improvement potential. A continuously changing gear ratio allows the engine to operate at its
maximum power point. Continuously variable transmission (CVT) is in development in order
to allow more rapid acceleration and a higher efficiency.
Maybe the most important factor in energy losses is friction. Frictional losses in the sliding
components of an engine can be minimised by new lubricants, which reduce viscous forces
particularly under low temperatures (under cold start conditions). Furthermore rolling
resistance of tyres is a factor contributing to energy losses. But measures lowering rolling
resistance are limited because the tyres of a car represent also a significant safety feature of
the vehicle. This last technical measure already shows that environmental and safety goals
are sometimes conflicting, and car manufacturers have to evaluate the consequences to
25 detailed information about new technologies and their effectiveness for example in National
Research Council (2002)
Page 29
safety while for example designing new, more efficient car models in order to serve the CO2
reduction goals. Therefore, in the next paragraph measures improving fuel economy will be
discussed in relation to road safety.
3.2.2 Measures to improve fuel economy in safety context
As the technical measures presented are assumed to be neutral towards safety, this
paragraph presents, starting from the traffic injury volume model to describe the road safety
problem (Figure 10, page 16), strategies that could increase road safety on the one hand and
reduce fuel consumption on the other hand.
The dimension of exposure is probably the dimension with the highest potential to influence
safety both from a quantitative point of view and from a time point of view. The general
problem is to find out how the traffic volume can be reduced without losing mobility. It is
obvious that less traffic would result in reduced transport energy use.
The general problem in reducing the accident risk as the second dimension of the model in
Figure 10 is to find measures that will reduce the accident risk in hazardous situations such
as darkness, fog, ice etc. and for high-risk groups such as for young drivers. The injury risk
mainly depends on the transportation mode that is used. Unprotected road users have a
much higher injury risk than car occupants. Private transport has a much higher accident risk
than public transport. This means that from a safety point of view, as well as from an energy
point of view, much is to be gained by a transfer from private transport to public transport
(neglecting the injury risk when walking to and from the stations of public transport).
Reduction of vehicle weight seems to conflict with the dimension of consequence in Rumar’s
model. Vehicle weight and size are important variables describing the crashworthiness of a
car26, which is related to the third model dimension, the injury risk.
As a conclusion three strategies can be applied to improve safety and fuel economy
simultaneously:
- reduce (more hazardous modes of) travel and transport (substitution of physical
communication, promoting low-risk modes, integrated urban planning),
- crash avoidance (maintenance, improvements of road environment, traffic
management for smooth traffic with less variances in speed), and
- behaviour modification (speed limits, eco-driving).
26 See also literature review in the next chapter.
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But not only safety and fuel economy would benefit from these actions, the saved energy
would help to reach CO2 reduction goals and enhance national fuel security. Evaluating
whether CO2 reduction measures could have a negative side-effect on other emissions is not
part of this thesis.
Chapter 4 Side-effects from improved fuel economy
The last paragraph could show, that there are several strategies serving safety and
environmental goals. Road traffic causes several environmental problems and this thesis
focuses on CO2 emissions. The mainly technical measures incorporated to improve fuel
economy have to be evaluated according to possible environmental and safety side-effects
during the design process. One of the most direct ways available to improve vehicle fuel
economy and by that possibly reduce CO2 emissions is to reduce a vehicle’s weight.
Therefore, I want to focus on side-effects from improved fuel economy on safety. A literature
review based on scientific publications shows how scientists define the weight-safety
relationship.
Literature Review
In literature several approaches are used to describe the relationship between vehicle weight
and safety. In general, one can distinguish between three approaches: a statistical view, a
mechanical view with in-depth accident analyses and crash tests and computer simulation. In
several scientific articles and conference proceedings the attempt was made to quantify the
safety-weight relationship, but the definition of what this relationship describes differs. As an
example, a general problem is to distinguish between weight effects on safety and size
effects. Often weight and size are treated interchangeably, and only the weight variable has
been used in calculations. By that a researcher may assign a positive size effect to weight,
which may have no influence at all.
Another aspect is the definition of safety. While it should be understood from a societal point
of view, it is often discussed from the individual point of view only. This means that instead of
safety, only crashworthiness is analysed and for example the compatibility aspect remains
not discussed.
Wood (1997) discusses safety in such an individual sense. As it is expressed there “this
paper examines the influence of car size and structural crush behaviour on safety of car
occupants in frontal collisions”27. Wood presents fundamentals of car size effects on safety.
27 Wood (1997), p. 139
Page 31
As acceleration is directly correlated to injury severity, Wood stated that size or length effect
is dominating in theory. But nonetheless, he uses weight to replace size. This use of weight
to describe the effect of size seems problematic. Wood sacrifices validity of his results not
necessarily quality, because he concludes that mass ratio and the absorbing properties of
two cars in a frontal crash are the two fundamental parameters influencing relative injury
severity. But he justifies the replacement with correlations found between mass and overall
length of the car population of the ending 1980s in Great Britain and the USA28.
When it comes to crashes between vehicles with similar masses, Wood sees the risk related
to collision speeds and to the deformation of the cars. Furthermore, collision speed
distribution is considered to be independent of car size, which results in dynamic crush
displacements as the only factor for the relative injury risk. Wood finishes with some
suggestions to improve the safety of small cars. In a 2002 published study Wood et al
emphasise the dominant size effect on safety.
Neither Wood (1997) nor Wood et al (2002) analyse accident data, but results of model
calculations and Monte-Carlo simulation are compared with several field studies. Since I
attempt to use Swedish accident data to reveal effects weight reduction can have on road
safety, primarily literature representing the statistical approach are discussed in the following.
Using statistical methods involves two main problems. The first one is the difficulty of
isolating weight from other confounding variables. The second problem is to choose
exposure for risk calculations. Of course, the availability of accident or crash test data is a
crucial fact for every study of statistical nature.
Evans and Frick (1993) used data of two-car crashes from the Fatal Accident Reporting
System (FARS). A relative risk of a driver fatality in the lighter in respect to the risk in the
heavier car is determined as a function of the mass ratio. The researchers base their
analysis in Newtonian mechanics and by using ratios they avoid the difficulty of finding
adequate exposure data, but unfortunately the size factor is excluded. But on the other hand
attempts are made to determine the influence of safety belt use, model year, absolute mass
of the involved cars, impact modus (e.g. front or rear end impact) and driver factors as well.
Evans and Frick conclude that mass is the dominant factor on relative driver fatality risk
when two vehicles of different mass crash into each other. In 1992 Evans and Frick
investigated whether car mass or car size is the causative factor for injury risk. They
analysed crashes between cars of similar wheelbase and different mass and crashes
between cars of similar mass and different wheelbase and revealed the mass as the
28 Evans (1994), Kahane (1991)
Page 32
dominant factor. However, in my opinion car design especially of smaller and lighter cars
changed, so that one can doubt how valid these results for today’s car population are.
Evans and Wasielewski (1987) analysed already the relative likelihood of driver fatality in a
car of certain mass involved in a crash with a car of a different or same mass. Table 3 below
presents the results of their work, which led to the following conclusions:
- The lighter the vehicle, the less risk to other road users.
- The heavier the vehicle, the less risk to its occupants.
Evans (1991) evaluates the net number of fatalities and concludes that substituting a lighter
car with a heavier car nearly always reduces the system-wide harm from two-car crashes.
Mass category car j Mass (kg) car i m1 m2 m3 m4 m5 m6 500-900 m1 7.04 12.12 15.15 16.05 16.86 16.51 900-1100 m2 5.06 9.78 11.88 13.38 14.58 14.68 1100-1300 m3 3.50 5.33 7.79 9.48 9.30 9.36 1300-1500 m4 2.14 2.67 4.83 6.06 6.94 7.12 1500-1800 m5 0.98 2.04 2.57 3.56 4.34 5.01
Table 3: Relative likelihood of driver fatality in a car of mass mi involved in a crash with a car of
mass mj29
An early and widespread model of the relationship between fuel efficiency and fatalities goes
back to Crandall and Graham (1989). The model estimates that a 14 % reduction in vehicle
average weight during the sample period (1970-1985) has resulted in 14 % to 28 % increase
in single-vehicle highway fatalities in the USA. But this model also did not include any
measure of car size and only weight is used as explanatory variable of fatalities.
Green et al (1993) present a cost benefit analysis of automobile fuel economy improvement
and evaluate safety impacts and emissions of criteria pollutants as less important. But
uncertainties of several costs and benefits let me question this evaluation. Anyhow, this
analysis contains a list of so many areas that are affected by fuel economy improvements,
which makes this paper an important basis for any discussion about how far fuel economy
improvements should go. An analysis of market sales revealed shifts among vehicle classes,
but 96 % of weight reduction in cars between 1975-82 is attributable to reductions within the
same size class. Green et al (1993) see this as evidence for that weight reduction has
probably little to do with an increase in fatalities.
Broughton (1995) found out that the injury frequency varied more between various mass
classes. He agrees here with Green that downsizing consequences for traffic safety may not
29 source: Evans, Wasielewski (1987)
Page 33
be as significant as other factors, like vehicle protection or driver behaviour. Broughton’s
analysis compares injury ratios (e.g. killed driver per injury accident) instead of using
exposure data like travelled km on certain roads of certain vehicle classes. This fact can
additionally bias Broughton’s results.
Mizuno et al (1996) investigate Japanese conditions. Their work is an in-depth accident
analysis, actual crash partners are analysed in head-on collisions. Their results confirm the
already by Evans formulated “law” that a lighter vehicle means less risk to other road users,
but heavier vehicle can protect the own occupants better. Side-collisions are additionally
studied with the help of simulations. They conclude that in side-collisions the mass of the
striking vehicle is important, but the mass of the struck vehicle is rather unimportant.
Hertz (1997) studies the effect of changes in vehicles size on fatal and incapacitating injuries.
Changes in vehicles size are defined as a reduction of one hundred pounds in vehicle
weight. The effect is examined as change in crash rates of incapacitating driver injuries.
Crash data from Florida and Illinois are used. Collisions with fixed objects, with heavy trucks,
and with other passenger cars are included. As potential confounding variables only driver
age and accident site in terms of urban or rural (as a surrogate measure for crash speed) are
chosen. As statistical method logistic regression is applied. As result it is presented that a
reduction of vehicle weight results in an increase in driver incapacitating injury rates for the
different analysed accident types. But Hertz’ conclusion seems less convincing, since weight
and size are used interchangeably and only driver age and accident cite are included as
potential confounding variables.
Buzeman et al (1998) discuss compatibility of cars in frontal crashes and mass
incompatibility is one aspect of their investigation. A new mathematical model is presented to
estimate average injury and fatality rates in frontal car-to-car crashes for changes in vehicle
mass, impact speed distribution, and inherent vehicle protection. Several safety strategies
were evaluated including downsizing, impact speed and inherent vehicle protection, to
address the discussion of vehicle downsizing in Europe. The mass factor showed not as
strong effects as expected. Buzeman et al showed that the mass range is more important
than the weight of the single vehicle. But since there are more vehicles in the upper mass
classes, it is easier to reduce the number of lighter ones to get a smaller and safer mass
range. Also in Buzeman-Jewkes et al (1999) it is deduced that it is possible to maintain
vehicle safety while downsizing. Especially speed is mentioned as a more important factor
than the mass of a car. But it is added that removing heavier cars, to reduce the range of
weight in vehicle fleet, would affect the economy of a nation, because these cars are often
used for business.
Page 34
Khazzoom (1994) limits the investigation to single vehicle highway fatalities, but included
both weight and size as explanatory variables. He found that car size does enhance safety,
but could find that weight has the same effect. Downweighing without downsizing is
according to Khazzoom not likely to reduce road safety (at least in single vehicle accidents).
Kahane (1997, 2003) involves besides crashworthiness also crash involvement and
addresses highway accidents among all types of highway users. But also Kahane was not
able to separate weight from size and the first study contains lots of assumptions that seem
not always plausible. These uncertainties were also reason for a second study. The author
gave three reasons for revising his study, which was seen as the most comprehensive one
so far30:
“The most important reason for a new study is to take a good, hard second look at the
methods of the 1997 report and to revise or supersede them with techniques that more
accurately fit the data. Another reason for a new study is that the vehicle, crash and driver
environment has changed in six years. […] The third motivation is to expand the analyses.
The 1997 report estimated two numbers: the effect of a 100-pound reduction in LTVs of any
weight, and in passenger cars. The new study separately estimates the effects of 100-pound
reductions in heavy LTVs, light LTVs, heavy cars and light cars.”31
Kahane (2003) compares crash fatality rates per billion vehicle miles for different road users
during the calendar years 1995-2000. Basis for this analysis is FARS data, he spends a huge
effort on determining the explanatory variable. He adjusted the fatality rates for driver age
and gender, urban/rural and others.
While Kahane found in his first study 1997 that vehicle weight reductions do not increase
fatality risk in car-to-car or LTV-to-LTV crashes and even reduce the fatality risk in pedestrian
crashes, he concluded in 2003 that fatality rates of lighter LTV, heavier cars, and lighter cars
increased as weights decreased. Pickup trucks and SUVs had, on the average, higher
fatality rates than passenger cars of comparable weight. His results confirm that the size-
safety effect is not uniform across all weights, other factors have to have an influence as
well.
30 National Research Council (2002), Appendix A
31 Kahane (2003), pp. 1-2
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Chapter 5 Conclusion of PART I
Both, road safety and the quantity of CO2 emissions are important topics in Sweden’s policy.
For both were societal goals defined, but on the way to achieve these goals they could
conflict with each other. Because of this an analysis of the relation of road safety to weight is
needed.
A literature review by the National Research Council's (1992) of safety literature found that
the total number of injuries in a two-car collision could increase, decrease, or remain
unchanged when both cars are made lighter.32 Like the National Research Council, for two-
car collisions the literature review presented in the last chapter could not find out how
reduced weight will affect road safety. Researchers often limit their work to a certain crash
type and/or vehicle type, because differences between different types seem too big. A
common problem is also the interchangeable use of weight and size. Of course statistical
methods depend on the available data. The structure of these data differs from country to
country. The choice of explanatory variables differ largely, it seems to be unclear which
variables have a confounding effect on the weight-safety relationship. So many differences
make it difficult to compare the findings of different statistical studies, which could help to
answer the question if we have to sacrifice road safety when the vehicle fleet is
downweighed in order to reduce fuel consumption and by that also CO2 emissions.
What can be learned from the qualitative analysis of the problem is that it is important to
distinguish two different points of views of road safety. The individual safety refers to the
safety of the driver and occupants of a single car. In contrast to this individual safety, net
safety describes the safety level of the entire vehicle fleet. Especially since the “Vision Zero”
was introduced, net safety has to be investigated in order to determine a mix of measures,
which help to achieve safety and environmental goals simultaneously.
From the different approaches to investigate safety-weight relationship the statistical one,
accompanied by in-depth accident studies and completed with before-after studies of certain
car models, seems to be the appropriate one to analyse the relation of road safety and
vehicle weight. Crash tests, as objects of analysis, do not consider vehicle safety in terms of
net safety. In paragraph 3.2.2 different strategies were presented that help to achieve CO2
reduction goals without conflicting with safety or even improve road safety. These measures
concerning technologies applied to the single car, integrated planning and transport policy
were not evaluated here and do not stand in focus of this thesis.
32 National Research Council (1992), pp. 6, 51, 57 and Appendix D
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PART II QUANTITATIVE ANALYSIS – WEIGHTPROBLEM
Part I discussed several studies that addressed the weight-safety relationship. As the
findings were discussed it became obvious that this relationship is still not fully understood
and very complex (Chapter 4, Chapter 5). Furthermore, only a single investigation
concerning the Swedish car fleet was found (Buzeman et al, 1998), but that work is far from
being as complete as Kahane’s investigations, which are seen as the most comprehensive
so far.33
Part II of the thesis investigates, if car weight has an influence on injury severity. Historical
accident data is reviewed in order to reveal the relationship of size and weight of a vehicle to
driver injury severity. Was and is it possible to gain further fuel economy improvements by
reducing vehicle weight without sacrificing safety? In order to answer this question the
analysis will be performed in several steps according to the formulated hypotheses in
Chapter 6.
The first step is to analyse single vehicle accidents, this should reveal how cars of different
weight classes can protect their drivers. The single vehicle accident analysis is followed by
an investigation of two-vehicle frontal accidents, where vehicles of the same weight class
collided. To evaluate safety from a societal point of view as well, frontal two-car accidents of
vehicles of different weight classes will be analysed. And finally the question should be
answered if a reduction of vehicle weight would conflict with road safety. To give a quantified
answer regression analysis will be applied. The analysis has to be controlled for confounding
variables like driver age, year model, road class (width, speed limit), and others. A discussion
about what the most influence has on better protection in a larger car (weight or size)
completes this section.
To eliminate changes of driver attitude over time (speeding, alcohol and driving, seat belt
usage) accident data from a short time period is used. The data includes all police reported
accidents occurred in Sweden in the year 1999.
Chapter 6 Hypotheses
From the view of individual safety, Newtonian’s physics, and following the conclusion of the
majority of literature the hypothesis has to be that a large car offers better protection to its
occupants than a small car in any accident mode. This would mean that weight reductions
would reduce the safety on Swedish roads. Often one can read in scientific literature that
33 National Research Council (2002), Appendix A
Page 37
Newton dictates that if two cars collide (frontal) occupants in the heavier car are better
protected (see e.g. Evans). The lighter car will experience a far greater impact energy and its
occupants a higher acceleration (if the same restraint devices are used). Experiencing higher
accelerations results in higher injury severity. But injury severity cannot be described by
basic physics (Newton’s law of motion) alone. Newtonian physics have to be coupled with
the crashworthiness of the vehicles involved and usage of seat belts and other passive
protection. However, following the results of the literature review given in Part I, the following
hypotheses are formulated:
1. in order to reduce CO2 emissions the Swedish passenger car fleet changed in mass
distribution, it was downweighed.
The process of downweighing has had an influence on road safety, so the second
hypothesis is:
2. downweighing of the car fleet in a country will increase its safety problem – the
outcome of road traffic accidents will get more severe.
The second hypothesis will be subdivided. According to the steps of analysis the
following hypotheses will be tested:
a. heavier passenger cars provide better protection in single vehicle accidents
b. in a collision with a car of approximately the same weight heavier passenger
cars provide better protection than lighter ones in a collision with a car of
approximately the same weight
c. in a collision with a car of a different weight class (heavier or lighter) is the
driver of the heavier car better protected than the one of the lighter car
d. the introduction of lighter passenger cars resulted in an increased safety
problem on Swedish roads and counteracted “Vision Zero”
Van den Brink et al raised the question why fuel economy did not improve in the Netherlands
and found that passenger cars got heavier over the years. This leads to the question whether
the first hypothesis already has to be rejected. Figure 8 (page 13) shows the European trend
of heavier cars. Nonetheless, it is true that new high efficient cars came into the market,
which were lighter than the average. In that sense there is a downweighing trend, but not the
whole population of passenger cars is affected. The downweighing of a certain share of cars
makes the mass range broader and can decrease road safety.
Page 38
Chapter 7 Data material
The number of accidents and its characteristics is retrieved from the register of police-
reported accidents. Also, information about involved vehicles, driver injuries and road
environment is obtained from this source provided by the Swedish National Road
Administration (Vägverket).
The accident data is organised in separate databases that can be linked using a unique
accident number and the given number of each vehicle, animal or pedestrian involved in a
certain accident. The databases can be grouped according to the information they contain
into five different database groups. The first, represented by the basic accident database and
a database containing the course of events, describes the accident with 54 parameters in
olycka.dat, including for example information on accident type, width of road, speed limit,
traffic volume, and accident. The databases of the second group contain information about
the involved vehicles and trailers; some examples of the 42 parameters presented in the
vehicle database are service weight, year model, cylinder volume, vehicles type, and
dimensions of the vehicle. The third group describes the involved persons. The group of
vehicle drivers, which this thesis will focus on, is described by 19 variables. In the
corresponding database detailed information on driver age, driving license information or a
driver’s injury level is included. The police define personal injuries at the accident site
according to a scale including: fatal injury, severe injury, minor injury, and no injury.
Information included in the databases of the fourth and the fifth group describe the location of
an accident, unprotected road users involved in a road accident as well as animal accidents.
1. Accident information
2. Vehicle information
3. Driver and passenger information
4. Location 5. Other information
olycka.dat motorf.dat foerare.dat y_oly.dat gaaende.dat fordonsh.dat slaep.dat passager.dat z_oly.dat djur.dat oevrigf.dat Vben.dat cy_moped.dat Fordonsu.dat
Table 4: Main accident databases
The original accident database consists of all police reported accidents in Sweden during the
years 1994 to 1999. The basic accident database consists of 444,596 entries for these years;
596,368 motor vehicles are registered to be involved in these accidents. The driver database
consists of 549,469 drivers involved in accidents of the years from 1994 to 1999.
The accident database for the year of interest 1999 contains 68,887 records. For the same
period 86,134 drivers and 88,249 vehicles are registered, which were involved in those
Page 39
accidents. The database contains several different crash types, but single vehicle accidents
and frontal collision accidents are dominating, as the accidents get more severe.34 Therefore,
out of the database the population of “case” accidents is selected. “Case” accidents are all
police reported single vehicle and frontal collision accidents in 1999 where only passenger
cars, trucks, light trucks, buses, and cross-country cars were involved. This definition of
“case” accidents leaves 11,635 accident, 13,790 driver and 13,614 vehicle records. Of these
“case” accidents 9,685 are single vehicle accidents and 1,950 are frontal collisions.
Out of the information given, the following data was chosen describing accident, vehicle and
driver:
crash characteristics
ID # elements veh./24h heavy veh./24h on a bridge?
# fatalities speed limit community # minor inj. light conditions
time accident site reg. date week day accident date
accident type # severe inj. rural/urban? in a tunnel? weather
construction? road type road width province maintenance class
acc. severity month year winter class
driver characteristics
ID element ID age license date license class
gender confiscated license injury level tractor license exch. foreign license
summary fined taxi license zip seating position instructor
approved instr. 1rst license class age of license road user category
vehicle characteristics
ID element ID year model # persons # trailers
vehicle width max length max weight car body code vehicle length
engine power stolen service weight total weight road user category
cylinder volume driver air bag
This selection of data does not represent the chosen set of variables. The set of variables
used as explanatory variables will be determined in a pre-study (Chapter 9).
34 Johansson (2001)
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Additionally to the described accident data set a data source is necessary providing
exposure data. The most common and suitable exposure is annual vehicle kilometre
travelled. It is important that not the exposure data itself is confounded with curb weight to
avoid a biased result.
One can think of three possible sources to obtain vehicle kilometres travelled annually as
exposure data:
- aggregate estimates based on fuel consumption and road counts,
- detailed road counts on a sample of roads and
- information from each vehicle’s road distance meter from annual inspections conducted
by the Swedish Motor Vehicle Inspection Company (Bilprovningen).
The most suitable source for the purpose of this thesis is data from the inspections, since it
can be classified by vehicle weight. Unfortunately, data obtained from mandatory
roadworthiness inspections conducted by the Swedish Motor Vehicle Inspection Company
were not available. But according to the Swedish National Road Administration, annual
vehicle kilometres are estimated as function of vehicle age (Figure 19). Unfortunately, no
statement is made to what extent these distances also depend on driver age, gender or
vehicle weight.
0
2500
5000
7500
10000
12500
15000
17500
20000
22500
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20vehicle age in years
annu
al tr
avel
led
vehi
cle
km
Figure 19: Annual travelled vehicle kilometres as function of vehicle age35
Furthermore, the distance estimations do not provide the possibility to identify road type or
geographical area where the vehicle was driven. Another data limitation is that no information
35 according to the EMV-model version 2.0 taken from Johansson (2002)
Page 41
is given about the specific injury or the point of impact in the provided data material.
Otherwise, side protection levels and individual types of injuries could be studied. The point
of impact is assumed to affect injuries to drivers and occupants significantly.
The vehicles involved in the analyses presented here are vehicles of the classes passenger
cars and light trucks; heavy vehicles and buses had to be excluded most importantly due to
the missing exposure data.
Chapter 8 Methodology
Politicians spend great efforts on reducing especially fatal and serious injuries. But
nonetheless, minor injuries contain some injuries that generate long term health losses. This
is especially relevant to neck injuries (so called whiplash) in rear end and frontal collisions,
that traditionally are defined as minor injuries. Therefore, the data is often analysed in two
groups: one containing only severe and fatal injuries; and the other containing fatal, severe
and minor injuries together. The analysis should, as much as possible, remove confounding
factors and compare the injury rates of passenger vehicles of different weight adjusted for
such confounding variables. In order to detect factors that are related to mass or injury
severity a pre-study will be performed, it includes animal and pedestrian accidents.
The main part includes single vehicle accidents and frontal collisions. Before regression
analyses are performed, a set of simple graphs, including total number of injuries,
proportions of the different injury levels and fatality rates by vehicle weight, should help to
reveal basic trends in the data. These simple graphs help to get an idea of what the
regression coefficients ought to be. Analyses of single vehicle accidents and frontal collisions
of vehicles comparable in weight should help to describe individual safety in relation to
vehicle weight. To answer also the question about net safety frontal collisions of vehicles of
different weight will follow. The goal of the last step (regression analysis) is to determine
injury rates as a function of vehicle weight. The exposure is always measured in annually
travelled vehicle kilometres.36
Naturally, vehicle size and weight are related, but to isolate the size from the weight effect is
a very complex problem. The literature reviewed showed, that a method to integrate both
size and weight in such an analysis is not documented yet. I will attempt to address this
problem by using both weight and size as explanatory variables in regression analysis in
order to evaluate which variable affects safety the most.
36 The annually travelled vehicle kilometres are always an estimate according to the relation presented
in Figure 19.
Page 42
Some important definitions
Outcome of an accident can be described as severity of occupant injury. Here, only driver
injury severity is taken into account. To include passenger injuries as well seems not
suitable, since a set of data with a comparable number and seating position of car
passengers would be too small for a statistical analysis.
Crash severity, which is the predominant factor influencing driver injuries, is in the scientific
world expressed as velocity change (deltaV). This measure is not available in the provided
data. But it helps to understand why an investigation of vehicle weight is of such an interest,
because the velocity change of a lighter object will always exceed that of a heavier one in
proportion to the relative weight, when these objects collide. The higher velocity change can
result in more severe injuries for vehicle drivers. The question is if vehicle design could
reduce these deceleration forces in order to outweigh the disadvantages a lighter vehicle
might has.
A vehicle’s weight is to be understood as service weight throughout this thesis. Service
weight describes the actual weight of the vehicle with a full tank of fuel and other fluids
needed for travel, but no occupants or cargo.
It is important to distinguish two different points of views on road safety. Individual safety
refers to the safety of the occupants of a specific car. The second definition of safety used is
net safety as the safety level of the entire car fleet. Current crash testing does not consider
vehicle safety in terms of the occupants of an opposing vehicle; therefore only investigations
of real world accidents can give information about both individual and net safety.
But of course it is not enough to analyse multi-vehicle (here two-vehicle) accidents, because
heavy vehicles are also able to knock down, displace or brush aside fixed objects that lighter
vehicles could not. Often also doors, and pillars etc. are thicker and stronger in heavier
vehicles and they provide more room to be deformed than lighter vehicles. Therefore, an
analysis of single vehicle accidents is included.
Chapter 9 Pre-study
In order to reveal variables that show a connection to either the dependent variables fatality
or injury risk per vehicle km driven or the key independent variable vehicle weight, pedestrian
accidents and accidents with animals observed in 1999 are analysed.
First results are presented in Table 5, as this table contains correlation factors for linear
correlation of potential control variables and vehicle weight. The analysis is performed for
Page 43
passenger cars and a group of light trucks, heavy goods vehicles and busses separately.37
Also, animal and pedestrian accidents are analysed separately. Nevertheless, both analyses
follow the same procedure.
The group of drivers involved in a pedestrian accident or in an accident with animals are
subdivided into 28 class intervals of service vehicle weight. Each interval is bounded at the
top by the following percentiles of service vehicle weight: the 1st, 2nd, 4th, 6th, 8th, 10th,
15th, 20th, 25th, 30th, 35th, 40th, 45th, 50th, 55th, 60th, 65th, 70th, 75th, 80th, 85th, 90th,
92nd, 94th, 96th, 98th, 99th, and maximum weight.
Since service vehicle weight spreads more at the low and high percentiles and these
percentiles are especially important in computing correlation coefficients the class intervals at
the ends are chosen to contain fewer percentiles than in the middle. In each of these 28
groups, the weighted (by vehicle kilometres travelled annually) average is computed for
service vehicle weight and each of the potential control variables. The values for the group of
“heavy vehicles” could not be weighted since no information about annual distances were
provided or could be estimated. The average values are linear, continuous variables, even if
the original potential control variable can only have two different values (e.g. driver gender).
The product-moment correlation r of service vehicle weight with each of the potential control
variables can be computed across the 28 class intervals and tested for significance.
9.1 Data in the pre-study
Aim of the pre-study is to reveal confounding variables of a safety-weight relationship.
Included are animal and pedestrian accidents. Figure 20 shows the weight distribution of all
vehicles involved in these accident types.
Even though trucks and buses should take part in this and the analyses documented in the
next sections, these vehicle types have to be excluded. First of all, the annually travelled
distance could not be estimated and as it will be shown in this chapter control variables
cannot be defined using such a small amount of case accidents within these vehicle classes.
37 Vehicle types were coded in the accident data.
Page 44
Figure 20: Vehicles’ weight in pedestrian and animal accidents happened in 1999 – left:
passenger cars; right: heavy vehicles
Figure 21: Weight of passenger cars involved in animal and pedestrian accidents 1999 (left)
and vehicle weight of registered passenger cars in Sweden (right)
Page 45
Figure 21 shows that passenger cars involved in an accident of the chosen accident types
represent Sweden’s passenger car fleet, because the weight distributions presented to the
left and to the right are very similar. Therefore, studying properties of these accidents can
provide a selection of control variables for a safety-weight analysis. The figures below
contain a comparison of weight and age distribution of vehicles involved in animal or
pedestrian accidents 1999 and the registered passenger cars for the year 199938.
Figure 22: Age distribution of passenger cars involved in animal or pedestrian accidents and
age distribution of registered passenger cars in Sweden [age represented by year model]
The following potential control variables are included in the data set created for animal and
pedestrian accidents happened on Swedish roads in 1999:
driver age vehicle age (year model) male/female driver
speed limit rural/urban driver air bag
Driver air bag availability has to be dropped from the list immediately, since for only 3.19 %
of all animal and pedestrian accidents happened in 1999 is information about air bag
availability given (Figure 23).
38 registered vehicle 01/01 2000, source of data: BIL Sweden (2000)
Page 46
Figure 23: Air bag information (animal and pedestrian accidents, 1999)
9.2 Potential control variables
Heavier cars have historically longer wheelbases, which can make them less crash prone,
their structures are often stronger, which makes them physically safer in case of an accident.
This means, that a vehicle’s outer dimensions should not be ignored in a safety-weight
analysis.
Figure 24: Footprint of passenger cars in animal and pedestrian accidents by weight
Figure 24 illustrates the relation of a vehicle’s outer dimensions and its weight. Vehicle length
will be taken into account in the regression analysis. This dimension is assumed to affect
Page 47
injury severity the most of both size variables, length and width. A longer vehicle often
provides a longer crush zone, which results in lower injury severities.
The measure of change in velocity, which is the predominant factor of crash severity, is not
available in the accident data. But assumed that on roads with higher speed limits accidents
get more severe, the speed limit of the road is chosen as a potential control variable. The
same reason has to be given, why to include where the accident happened: on a rural or an
urban road. Another vehicle factor that influences a driver’s injury level is vehicle age. Safety
equipment is less common in older car models, but also material can get tired and a car’s
structure can lose its ability to absorb energy in case of an accident. Therefore, older cars
might offer their occupants less protection than newer models.
Some human factors of drivers can also be confounded with vehicle weight and have to be
chosen as control variables. Drivers’ age and gender are included in order to control for
human factors. Young and inexperienced drivers but also old drivers are known to have
higher fatality and injury rates than middle-aged drivers. Especially female middle-age drivers
are known as safe drivers. But of course, it can also be that these safe driver groups pick
especially safe cars. Since additional safety equipment is introduced in more expensive cars
first, younger drivers can often not afford such safer cars. The higher vulnerability of older
drivers, which often pick bigger cars, can increase fatality and injury rates for heavy cars
compared to lighter cars. But to control for such effects seems impossible, so drivers’ age
and gender have to represent a broad range of human factors that are confounded with
vehicle weight.
9.3 Correlation analyses
Animal accidents are more likely to happen in rural areas. In order to analyse observations
that can represent the Swedish vehicle fleet as a whole, pedestrian accidents are included in
this pre-study. The analyses of both accident types follow the same methodology. But I want
to stress that this accident type is not as independent from driver skills as animal accidents.
The results of the (linear) correlation analysis39 retrieved from animal and pedestrian
accidents are presented in Table 5. Figure 25 and Figure 26 illustrate correlation analyses for
the group of passenger cars. These figures contain polynomials that fit the data, taken from
the accident files, in a least-squares sense. In contrary to the results presented in the table
below, for driver age, gender and the variable rural/urban quadratic correlation is presented.
39 made use of the corrcoef function in MATLAB
Page 48
animal accidents pedestrian accidents
variables unit r p r p
driver age years 0.3616 0.0587 -0.4792 0.0099
vehicle age years -0.9067 0.0000 -0.8489 0.0000
driver gender 1:male/2:female -0.9259 0.0000 -0.7474 0.0000
speed limit km/h 0.6478 0.0002 -0.3860 0.0425
urban/rural 1:urban/2:rural -0.0249 0.9000 -0.4171 0.0272
injury level (1-4) 0.4188 0.0265 0.1648 0.4022
passenger car group
injury level (1-3) -0.1919 0.3280 -0.4275 0.0233
driver age years 0.4419 0.0186 0.3939 0.0381
vehicle age years -0.2328 0.2333 -0.0660 0.7388
driver gender 1:male/2:female -0.3622 0.0582 0.1036 0.5998
speed limit km/h 0.8327 0.0000 0.2542 0.1918
rural/urban 1:urban/2:rural 0.6566 0.0001 0.1267 0.5205
injury level (1-4) 0.2188 0.2633 0.3024 0.1178
truck group
injury level (1-3) NaN NaN -0.0240 0.9035
Table 5: Correlation factors for animal and pedestrian accidents – linear correlation
The correlation coefficients of two different injury level variables are given as well in the
table. The first variable contains all levels, from killed to not injured drivers, while the second
variable excluded drivers who were not injured. These coefficients might give a first glance at
the safety-weight relationship. But as it can be seen in Figure 25 and Figure 26 for the first
injury variable, the classification according to the vehicle weight results in average values of
injury levels, which cannot be used to retrieve any information about the safety-weight
relationship.
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Figure 25: Animal accidents
The group of “heavy vehicles” contains very few case vehicles, therefore only the results of
passenger cars will be discussed and be presented in the figures. Trucks have to be
excluded from further analyses because no information about annually travelled distances
could be found and also the correlation analysis with simple mean values cannot reveal any
ideas of variables, which has to be chosen as explanatory variables.
Vehicle age, driver gender, and speed limit all have a statistically significant (p < .05)
correlation with service vehicle weight for the group of passenger cars in animal and
pedestrian accidents. Driver age and the variable urban/rural show only in one accident type
such a significant linear correlation.
In animal accidents driver age and speed limit have positive correlation, which means that
heavier passenger cars have relatively older drivers, and are more used on high-speed
roads. But at least for passenger cars the heaviest models seem to be driven by younger
drivers (Figure 25).
The variables vehicle age and driver gender have shown negative correlations. This reflects
that heavier passenger cars tend to have also more male drivers and are of more recent year
model then light passenger cars. These trends can be seen in both accident types. The
Page 50
driver age has shown for animal accidents a positive correlation in animal accidents but for
pedestrian accidents a negative correlation.
Figure 26: Pedestrian accidents
As already seen in Table 5, no statistically significant (p < .05) correlation can be found for
the variable urban/rural. This result is not surprising since animal accidents are known to be
more likely to happen in rural areas and pedestrian accidents are more likely to happen in
urban areas. Thus, different trends for speed limit in pedestrian accidents and in animal
accidents are found.
9.4 Result of the pre-study
The analyses of the weight-safety relationship should be at least controlled for the following
variables:
driver age driver gender vehicle age (YM) speed limit size
In case of two-car accidents, the variables size (length) and weight of the other car should be
added to the mentioned list of control variables. The group of “heavy duty vehicles” produced
just a small number of observations. The vehicles of the group “heavy duty vehicle” will not
take part in the further analyses.
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Chapter 10 Results of the quantitative analyses
10.1 Single car accidents
Although a group of control variables was chosen in the last paragraph, the first graphs
represent trends of uncontrolled analysis of driver injuries in single vehicle accidents. To start
with, the proportion of the four different injury levels – killed, severe injuries, minor injuries,
no injuries – were plotted over vehicle weight. A simple linear trend in addition illustrates the
first results in Figure 27. The proportions of severe and fatal injuries remain rather
unchanged with increasing vehicle weight. But as the proportion of minor injuries decreases,
the proportion of no injuries increases. A view on KSI accidents in Figure 28 shows a
different aspect. The absolute number of KSI diminishes with increasing weight, and even
more the rate of KSI per annual travel distance of heavier cars is reduced in contrast to the
rate of lighter cars. The annual travel distance was estimated according to the age-mileage
relationship presented in Chapter 7 and given by the Swedish National Road Administration.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
846
956
1007
1051
1102
1146
1184
1218
1259
1297
1334
1360
1381
1407
1434
1462
1501
1559
1664
2076
average weight of each weight class
driv
er in
jury
leve
l
killed severe injuries minor injuries no injuries
trend (killed) trend (severe injuries) trend (minor injuries) trend (no injuries)
Figure 27: Driver injury level as function of average weight – single car accidents
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0
5
10
15
20
846
956
1007
1051
1102
1146
1184
1218
1259
1297
1334
1360
1381
1407
1434
1462
1501
1559
1664
2076
average weight of each weight class
KS
I/1,0
00,0
00 V
km
0
5
10
15
20
25
30
35
40
45
KS
I (ab
solu
te n
umbe
rs)
KSI
KSI/1,000,000 Vkm
trend (KSI/1,000,000 Vkm)
Figure 28: KSI (absolute) and KSI rate (per 1,000,000 vkm) – single car accidents
The classification in 20 weight classes (which is comparable to the 28 weight classes defined
in the pre-study but with fewer intervals) will be replaced by a classification in three vehicle
types: the light, medium, and heavy passenger car. The group of light cars includes the 20 %
lightest cars involved in single vehicle accidents on Swedish roads in 1999. The group of
heavy cars represents the 20 % heaviest cars in these accidents. And the class of medium
cars includes cars that are heavier than 40 % but also lighter than 40 % of all cars involved in
single vehicle accidents40. As before, I want to start with a comparison of injury level given in
proportions (Figure 29). The proportion of accidents with KSI is highest for the light cars and
lowest for the group of heavy cars. Furthermore, 54 % of the drivers in light cars remain
uninjured after single vehicle accidents, while this is the case for 63.8 % of the drivers in
heavy cars. This picture is confirmed by a comparison of injury rates for these three types of
vehicles.
40 light car: < 1,080 kg; medium car: > 1,240 kg and < 1,370 kg; heavy car: > 1,480 kg
Page 53
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
light car medium car heavy car
killed severe injuries minor injuries no injuries
Figure 29: Proportions of injury levels in light, medium, heavy cars – single car accidents
The presented injury proportions are further analysed in order to find out if the presented
trends so far are a coincidence or not. The following equations try to answer this question
within a 95%-confidence interval (assuming that the number of accidents in 1999 were
Poisson distributed):
( ) KSI
medium
KSI
light
KSI
medium
KSI
light
KSI
medium
KSI
light PPPP +⋅±−=− 96.1µµ
( ) KSI
heavy
KSI
light
KSI
heavy
KSI
light
KSI
heavy
KSI
light PPPP +⋅±−=− 96.1µµ with
KSI
lightµ expected value of fatal or seriously injured drivers in a light car
KSI
mediumµ expected value of fatal or seriously injured drivers in a medium car
KSI
heavyµ expected value of fatal or seriously injured drivers in a heavy car
KSI
lightP proportion (data 1999) of fatal or seriously injured drivers in a light car
KSI
mediumP proportion (data 1999) of fatal or seriously injured drivers in a medium car
KSI
heavyP proportion (data 1999) of fatal or seriously injured drivers in a heavy car
Page 54
The difference in expected values that an accident in a light car results in fatal or severe
injuries and that an accident in a medium car results in such injuries is with 95%-confidence
determined as (-7.55,11.32). The interval for a comparison between a light car and a heavy
car can be stated as (3.31,21.77). The result for the comparison between light and medium
cars can be interpreted that both vehicle groups can have the same or a different expected
value of KSI accidents, because the interval includes zero as the value representing no
differences in both groups. But the comparison with heavy cars gives a result that indicates a
difference in the expected values of KSI probabilities. The difference of the expected values
is with 95%-confidence positive between the mentioned values, indicating that accidents in
light vehicles are more likely to result in fatal and severe injuries.
On condition that an accident has already occurred the method considering the probability of
a certain injury severity measures only differences in crashworthiness. Furthermore, these
proportions are also confounded with vehicle weight. But the use of a measure like
kilometres travelled annually accounts for differences in crash involvement of different car
types. Figure 30 shows, besides the absolute numbers of involved and injured drivers in
single vehicle accidents, the rate of fatal and severe injuries per annually travelled distances
as well as the rate of fatal, severe and minor injuries.
The additional use of an exposure confirms the already seen trend that drivers of lighter
vehicles are at greater risk to be seriously injured or killed in a single vehicle accident. The
rate drops from 12.12 drivers with fatal or severe injuries resulting from single vehicle
accidents (of 1999) per 1,000,000 kilometres travelled to 6.52 fatal or severe injuries per
1,000,000 kilometres travelled in heavy passenger cars. And also the rate of fatal, severe
and minor injuries drops from 43.54 drivers per 1,000,000 kilometres annually travelled to
25.49 drivers per that distance.
These first results seem to prove the often-stated better crashworthiness of heavier cars. But
of course, these first graphs were not adjusted for any differences in any of the control
variables.
Page 55
0
100
200
300
400
500
600
700
800
light car medium car heavy car
num
ber
of d
river
s
0,00
5,00
10,00
15,00
20,00
25,00
30,00
35,00
40,00
45,00
KS
I per
1,0
00,0
00 V
km /
INJ
per
1,00
0,00
0 V
km
killed severe injuries minor injuries
no injuries KSI/1,000,000 Vkm INJ/1,000,000 Vkm
Figure 30: Number of fatal, seriously, slightly injured and not injured drivers in different weight
classes and injury rate per travelled distance – single car accidents
10.1.1 Controlled analysis for single vehicle accidents
In contrast to Figure 28 does Figure 31 present the percentage of drivers seriously injured or
killed by weight classes of the total of single vehicle accidents happened in 1999, which meet
the requirements for driver age, gender, vehicle age and speed limit41. This quantity contains
only 407 records, which is a rather small number to analyse. Nonetheless, Figure 31
confirms the already discussed trend to less severe injuries at higher vehicle weights. Each
weight class contains approximately the same number of drivers involved in a single vehicle
accident. Drivers of a car of the lightest class with an average weight of 1,083 kg account for
14.3 % of all such injuries in these 407 case accidents and drivers of vehicles of the heaviest
group account only for 5.7 %. But also the group of vehicles with an average weight of
1,496 kg account for 14.3 % of all severe and fatal injuries. One might bring up as an
argument that these cars probably are more exposed to road traffic. But the figure shows
also that the vehicles of each group account for approximately one-tenth of the annual
distance travelled by the 407 case vehicles. The distance was estimated according to the
relation presented in Figure 19.
41 male drivers; age 30-55; model years1995, 1996, 1997, 1998, 1999; speed limit > 50 km/h
Page 56
0%
3%
6%
9%
12%
15%
18%
21%
1083
1230
1366
1439
1496
1546
1592
1657
1772
2144
average weight of each weight class
pers
enta
ge o
f all
KS
I
0%
3%
6%
9%
12%
15%
18%
21%
perc
enta
ge o
f all
Vkm
trav
elle
d
% of all KSI
% of all Vkm
trend (% of all KSI)
Figure 31: Fatal and severe injuries by vehicle weight [% of group’s total] – 407 single car
accidents 1999 meeting the requirements for the control variables
Considering the small number of case accidents, controlled for the chosen variables, ten
weight classes, as analysed in the preceded figure, seem not appropriate. But to use the
same weight boundaries as before to form the three groups (light, medium and heavy car) is
not possible either. Such a group of light cars, including all cars not heavier than 1,080 kg,
would consist of only 15 case accidents. In contrast, the group of cars heavier than 1,480 kg
would contain 231 cases. Therefore, new weight boundaries are chosen according to the
same procedure as before. Light cars are the 20 % lightest cars of all 407 case accidents,
heavy cars are the 20 % heaviest and medium cars are heavier than 40 % but also lighter
than 40 % of all case cars42. 242 of the case accidents are classified in these three groups,
and the average weight in these groups is far higher than in the uncontrolled analyses. But
this should not surprise since only cars are included that are from 1995 or younger and in
paragraph 2.2 it was shown that Sweden’s fleet of passenger cars is getting heavier.
In Figure 32 injury proportions in each weight group are presented, similar to the already
presented uncontrolled analysis in Figure 29. The conclusion that the driver of a heavier car
is better protected than the one in a lighter car is supported, 12.2 % of the drivers in light cars
get killed or seriously injured in a single vehicle accident, while 3.8 % of the drivers in heavy
42 light car: < 1,300 kg; medium car: > 1,470 kg and < 1,570 kg; heavy car: > 1,700 kg
Page 57
cars experience such injuries. However, I want to stress again that the number of
observations is too small for a statistical analysis.
In order to reach a higher quantity of case accidents in each of the three weight groups,
accidents from other calendar years might be included. But the number of possible calendar
years is limited. To eliminate changes of for instance driver attitude over time (speeding,
alcohol and driving, seat belt usage) accident data from only one calendar year was chosen.
Anyhow, a selection of more years is also limited by the control variable vehicle age. The
oldest vehicle selected is from 1995, so the earliest possible calendar year that could be
included is 1995. But the number of cars of year model 1995 registered is rather small in the
end of that year and so is their occurrence in the accident database of the same year.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
light car medium car heavy car
killed severe injuries minor injuries no injuries
Figure 32: Proportions of injury levels in light, medium, heavy cars – single car accidents
(controlled)
Page 58
0,0
5,0
10,0
15,0
20,0
25,0
30,0
35,0
40,0
45,0
50,0
55,0
light car medium car heavy car
num
ber
of d
river
s / I
NJ
per
1,00
0,00
0 V
km
0,0
1,0
2,0
3,0
4,0
5,0
6,0
7,0
8,0
KS
I/1,0
00,0
00 V
km
killed
severe injuries
minor injuries
no injuries
KSI/1,000,000 Vkm
INJ/1,000,000 Vkm
Figure 33: Number of fatal, severe, minor and no injuries to drivers in different weight classes
and injury rate per travelled distance – single car accidents (controlled)
Additional information for the control analysis for calendar year 1999 is illustrated in Figure
33. The annually travelled distance is included as exposure to calculate the rates of killed
and seriously injured drivers and the rates of killed, seriously or slightly injured drivers for
each weight category. A substantial decrease of the KSI per 1,000,000 kilometres travelled
from light to heavy cars can be seen. But the values for light and medium cars are quite
comparable. Reductions of the second injury rate, to get killed, seriously or slightly injured,
are not that big either.
Certainly, a driver of a car is interested how well he is protected in this car. After this analysis
of single vehicle accidents it seems appropriate to advise any driver to chose the heaviest
possible car in order to be protected in case of an accident. But no conclusion about net
safety can be drawn.
Such a choice would lead to a heavier fleet than we have today and to an increased fuel
consumption, which means that both societal goals, improvements in road safety and
reductions of CO2 emissions, couldn’t be achieved, but just one of them.
10.1.2 Regression of single vehicle accident data
The purpose of regression is to find a quantitative description of a relationship between a
group of explanatory variables and a response. The group of explanatory variables vehicle
Page 59
weight, vehicle age, driver age and gender, and speed limit will be used. The driver injury
level, registered by the police at the accident site, is known to every set of explanatory
variables. To find a relationship between explanatory variables and injury level can help to
understand which variables have the greatest effect. And of course the direction of the effect
is of interest, whether an increase in vehicle weight for instance leads to a higher injury level
(representing, on the scale from 1-killed to 4-uninjured, less severe injuries).
For single vehicle accidents only the influence on individual safety can be evaluated. In
Figure 34 are driver injuries of all single vehicle accidents included in the data set for 1999
plotted against the vehicle weight. The data set contains only passenger cars as discussed
before (Chapter 7). Only four injury levels are distinguished and so an attempt to quantify this
relation of vehicle weight and injury severity level seems not promising. Nonetheless, I
attempted to perform such a regression analysis according to the multi-linear regression
equation:
6655443322110 xaxaxaxaxaxaay ⋅+⋅+⋅+⋅+⋅+⋅+=
The coefficients a0-6 can be calculated by doing a least squares fit. This method minimizes
the sum of the squares of the deviations of the data from the model.43 Which variables the
values x1-6 represent, can be seen in Table 6. The blue line in Figure 34 illustrates the results
of a regression where y is the driver injury level (killed, seriously, slightly injured, uninjured).
43 The MATLAB backslash operator is used to compute these coefficients efficiently.
Page 60
Figure 34: Injury levels of drivers involved in single car accidents 1999
As already said, injury levels are discontinuous, which leads to a bad fit of the regression
model (Figure 34). In order to get continuous values for the response variable of the multi-
linear regression model, the single vehicle accidents will be classified according to vehicle
weight or size comparable to the method used in the pre-study. In each of the 20 groups44,
the weighted (by vehicle kilometres travelled annually) average is computed for the number
of drivers killed or injured (KI) per 1,000,000 vehicle kilometres travelled (vkm) and each of
the explanatory variables. These average values are the input variables for the regression.
The calculated coefficients are presented in the first of the result columns in Table 6. Also
given is the value of the maximum difference between the calculated and the observed
values. With help of this maximum error (MaxErr) it can be evaluated how well the model fits
the observed reality. As it also can be seen in Figure 35 and Figure 36, the linear regression
model could not produce a satisfactory fit to the data.
44 The intervals of service vehicle weight are bounded at the top by the following percentiles of service
vehicle weight: the 5th, 10th, 15th, 20th, 25th, 30th, 35th, 40th, 45th, 50th, 55th, 60th, 65th, 70th, 75th,
80th, 85th, 90th, 95th, and maximum weight.
Page 61
variables unit
KI/ 1,000,000 vkm log(P/(1-P)); P: proportion of drivers
killed or injured
a0 -10.1840 1.6638
a1 X1 length (case car) cm - -
a2 X2 weight (case car) kg -0.0021 0.0001
a3 X3 vehicle age years 2.1254 -0.0150
a4 X4 driver age years -0.3941 0.0172
a5 X5 driver gender 1:male/2:female 29.4030 -1.4336
a6 X6 speed limit km/h 0.0328 -0.0003
classified
by weight of
the case
car
(Figure 35)
MaxErr 2.6374 0.1390
a0 16.5330 0.5430
a1 X1 length (case car) cm -0.0422 0.0020
a2 X2 weight (case car) kg - -
a3 X3 vehicle age years 1.4562 0.0167
a4 X4 driver age years 0.6494 -0.0358
a5 X5x driver gender 1:male/2:female 0.7355 -0.0890
a6 X6 speed limit km/h -0.0429 0.0031
classified
by length of
the case
car
(Figure 36)
MaxErr 5.2521 0.2497
Table 6: Regression coefficients – single vehicle accidents
Since the first regression analysis did not result in a satisfactory fit, another regression was
performed in order to reveal the weight/size-safety relationship. Instead of injury rate per
distance injury proportions are used as response variable y. The logistic model is suited to
deal with proportion data.
66554433221101log xaxaxaxaxaxaa
P
P ⋅+⋅+⋅+⋅+⋅+⋅+=
−
P is the proportion of drivers killed or injured. To use the computed coefficients the logistic
relationship has to be inverted.
( )6655443322110exp11
xaxaxaxaxaxaaP
⋅−⋅−⋅−⋅−⋅−⋅−−+=
The computed coefficients are presented in the second result column in Table 6.
Calculations with these coefficients and the observed values for the explanatory variables
are illustrated as blue line in Figure 35 and Figure 36.
Page 62
Figure 35: Regression – classification by vehicle weight (single car accidents)
Figure 36: Regression – classification by vehicle length (single car accidents)
Page 63
The second regression also could not provide significant results. Nonetheless I want to
interpret the found coefficients. Both regressions were performed with two different data sets.
In Figure 35 a regression based on average values of weight classes is illustrated. Figure 36
contains observations and calculations of a regression based on average values of length
classes. It was of interest to analyse these different data sets in order to evaluate whether
the size (here length) or the weight effect is more important to road safety.
The calculations resulted in coefficients for vehicle length and weight that can be interpreted
as the following: an increase in either weight or length reduces the risk of driver fatalities and
injuries per distance and the proportion of killed or injured drivers. But the coefficients for
length and weight differ in their magnitude. To evaluate this difference in order to answer the
question, which variable is more important to safety, the units of both variables have to be
taken into account. Vehicle length is given in centimetres, therefore the coefficient of –0.0422
in the regression for killed and injured drivers per travelled distance could mean that an
increase of 10 cm in vehicle length results in a decrease of 0.422 killed and injured drivers
per travelled distance. On the other hand, an increase of 100 kg in vehicle weight could
result in a decrease of 0.21 killed and injured drivers per travelled distance. Of course, both
interpretations are made with the assumption that all other factors remain unchanged. Since
such a comparison for changes in proportion of killed or injured drivers results also in a
higher reduction for changes in length, it is concluded that vehicle length has a bigger impact
on the safety a car offers its occupants in case of an single vehicle accident. After taking a
closer look at Figure 36, it seems that a value for vehicle length exists that represents a
certain safety standard for its occupants. Observations of vehicle lengths of about 450 to
500 cm seem to result in injury rates and injury proportion of comparable magnitude.
10.2 Frontal collision accidents
Again, simple plots of injury level by vehicle weight should help to discover first trends.
Figure 37 contains values of the proportion of four different injury levels – killed, severe
injuries, minor injuries, no injuries – in 20 weight categories as result of frontal collisions. The
values are plotted over vehicle weight, additionally simple linear trends of each injury level
are plotted. In contrary to the analysis of single vehicle accidents the injury severity of the
drivers depend not only of crashworthiness of the own car, but also on the properties of car it
collided with. But in this first figure no relation to the actual accident opponent is taken into
account. The proportions of fatal, severe, and minor injuries are decreasing with increasing
vehicle weight. The proportion of fatal injuries decreases the most. An increasing trend
shows the proportion of no injuries.
Page 64
These proportions of the different injury levels can be confounded with vehicle weight. For
instance, heavy cars are often stated to have lower accident rates per travelled distance.
Thus, the number of police-registered accidents of a certain car group is no appropriate
measure of exposure. Therefore, differences in crash involvement of different car types are
also addressed in the analyses.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
853
953
1010
1048
1105
1154
1197
1231
1275
1309
1339
1361
1387
1413
1437
1460
1490
1548
1643
2074
average weight of each weight class
killed severe injuries light injuries
no injuries trend (killed) trend (severe injuries)
trend (minor injuries) trend (no injuries)
Figure 37: Driver injury level as function of avg. weight – frontal collisions 1999 (N=1370)
To focus more on severe and fatal injuries a rate of such injuries and the annual travel
distance is calculated and presented in Figure 38. The decreasing trend, already seen in
Figure 37, is confirmed. But the variations around the linear trend are larger than in Figure 28
illustrated for single vehicle accidents. The reason for these variations could be differences in
weight and construction of the collision partner. Therefore, with the help of the unique
accident identification number and the identification number of each traffic element
involved45, vehicles that collided where identified and written in a matrix. Figure 39 contains
the rate of accidents with killed and seriously injured drivers per 1,000,000 kilometres
annually travelled for both vehicles involved.
45 The police give every traffic element involved in an accident a number.
Page 65
0
5
10
15
20
25
30
853
953
1010
1048
1105
1154
1197
1231
1275
1309
1339
1361
1387
1413
1437
1460
1490
1548
1643
2074
average weight of each weight class
KS
I/1,0
00,0
00 V
km
0
5
10
15
20
25
30
KS
I (ab
solu
te n
umbe
rs)
KSI
KSI/1,000,000 Vkm
trend (KSI/1,000,000 Vkm)
Figure 38: KSI in absolute numbers and KSI rate per 1,000,000 vkm – frontal collisions
0
5
10
15
20
25
853
953
1010
1048
1105
1154
1197
1231
1275
1309
1339
1361
1387
1413
1437
1460
1490
1548
1643
2074
weight classes (CASE car, average weight)
KS
I(C
AS
E c
ar)/
1,00
0,00
0 V
km
0
5
10
15
20
25
1302
1301
1286
1321
1286
1321
1320
1278
1337
1256
1294
1330
1385
1321
1318
1286
1304
1323
1314
1398
average weight of the OTHER car
KS
I(O
TH
ER
car
)/1,
000,
000
Vkm
KSI(CASE car)/1,000,000 Vkm KSI(OTHER car)/1,000,000 Vkm
trend (KSI(CASE car)/1,000,000 Vkm)
Figure 39: Injury rates of both cars involved in a frontal collision
The rates for the group of case cars are shown according to the case cars’ weight (Figure
39). The rate of killed or seriously injured drivers in the case car decreases with increasing
weight of these cars. But also the decreasing weight of the group of the opponent cars
Page 66
seems to be a reason for this trend. The rate for the other cars is increasing since the
masses of both cars involved in the frontal collision mismatch more and more.
In order to investigate the influence of the other car on road safety further, both vehicles, the
case car and the other car it collided with, are classified according to their weights in the
following groups: light, medium, and heavy car. The group of light cars contains the 20 %
lightest cars of all in frontal collision accidents involved cars. The 20 % heaviest cars are
combined to a group of heavy cars. A medium car is a car that is heavier than 40 % of all
cars involved in frontal collisions but also lighter than 40 % of all cars involved in that
accident type46. If cars of the same group collide the case vehicle is always the lighter one.
Figure 40 contains both, the number of drivers killed, seriously or slightly injured and not
injured at all and injury rates – KSI and minor injuries per 1,000,000 km, and KSI per
1,000,000 km – in frontal collisions between cars of approximately the same weight. The
largest number of observations can be found in frontal collisions of two light cars. Of these
collisions between cars with comparable weight, the drivers in collisions of two heavy cars
seem to have the lowest risk to get killed or in any sense injured. Not light car-light car
accidents seem to be the most severe to the drivers, but collisions of two cars of medium
weight, although the rates of the car entitled as car number one in the police protocols and
the car entitled as number two differ considerably and differ the most for collisions of medium
cars. A simple comparison should show if the weight of the second car is often larger and
could be the reason for the lower injury risk. But the comparison could not confirm this
speculation. A plausible reason could be that the police at the accident site often register the
more seriously damaged car as car number one – but this cannot be proven.
Figure 41 compares the same values as the last figure but for collisions of cars of different
weight classes. Values for both cars involved in the accident are shown, and so are all
possible accident combinations for vehicles of different weight. These two figures, comparing
the injury rates for collisions of cars with comparable weight and for collisions with heavier or
lighter cars, could not fully support the conclusion that the heavier a car, the safer it is in case
of an accident. The case of medium cars was discussed for collisions within the weight
group, but also in Figure 41 a medium car in collision with a heavy car accounts for the
highest KSI rate. Anyhow, the small number of accidents included in this comparison
opposes a final conclusion.
46 light car: < 1,070 kg; medium car: > 1,260 kg and < 1,370 kg; heavy car: > 1,470 kg
Page 67
0
5
10
15
20
25
30
35
40
1 2 3 4 5 60
10
20
30
40
50
60
70
80
KS
I/1,0
00,0
00 V
km I
NJ/
1,00
0,00
0 V
km
killed severe injuries
minor injuries no injuries
KSI/1,000,000Vkm INJ/1,000,000 Vkm
light vs. light medium vs. medium heavy vs.
Figure 40: Number of fatal, seriously, slightly injured and uninjured drivers in different weight
classes in collisions with the same car type and injury rates per travelled distance
0
5
10
15
20
25
30
35
40
light medium medium light light heavy heavy light medium heavy heavy medium0
10
20
30
40
50
60
70
80
KS
I/1,0
00,0
00 V
km I
NJ/
1,00
0,00
0 V
km
no injuriesminor injuriessevere injurieskilledINJ/1,000,000 VkmKSI/1,000,000Vkm
Figure 41: Number of fatal, seriously, slightly injured and not injured drivers in different weight
classes in collisions with cars of different weight and injury rates per travelled distance
Page 68
Nonetheless, I will attempt to draw a conclusion, but an analysis with paired comparison
method will illustrate the problem of the small number of observations even more. The
calculation – its results are presented in Table 7 – of relative injury risk brings no certain
results, since so little observations could be used in the calculations according to the given
equation:
31
21
xx
xxR
++
=
other vehicles LIGHT other vehicles MEDIUM other vehicles HEAVY Relative injury risk for minor,
severe and fatal injuries KI Not injured KI Not injured KI Not injured
KI (x1) 4 (x2) 4 (x1) 3 (x2) 7 (x1) 1 (x2) 10 LIGHT
Not injured (x3) 3 R=1.14 (x3) 0 R=3.33 (x3) 1 R=5.50
KI (x1) 5 (x2) 1 (x1) 4 (x2) 4 (x1) 4 (x2) 3 MEDIUM
Not injured (x3) 2 R=0.86 (x3) 1 R=1.60 (x3) 1 R=1.40
KI (x1) 3 (x2) 1 (x1) 8 (x2) 1 (x1) 3 (x2) 5 HEAVY
Not injured (x3) 7 R=0.40 (x3) 1 R=1.00 (x3) 2 R=1.60
Table 7: Relative injury risk for minor, severe and fatal injuries in frontal collisions
From the table one could conclude that the risk to get injured or killed in the lighter car of a
frontal collision seems to be higher than for the driver in the heavier car it collided with (see
row ‘LIGHT’: Rlight vs. light = 1.14 -> Rlight vs. medium = 3.33 -> Rlight vs. heavy = 5.50). At the same time,
one can see the very few observations which take part in this paired comparison analysis.
But a further analysis of injury proportions47 (Figure 42) might give an idea if the observed
trends are coincidence or not. The following equations try to answer this question within a
95%-confidence interval (assuming the number of accidents in 1999 were Poisson
distributed):
( ) KSI
mediumvs
KSI
lightvs
KSI
mediumvs
KSI
lightvs
KSI
mediumvs
KSI
lightvs PPPP ...... 96.1 +⋅±−=− µµ
( ) INJ
mediumvs
INJ
lightvs
INJ
mediumvs
INJ
lightvs
INJ
mediumvs
INJ
lightvs PPPP ...... 96.1 +⋅±−=− µµ
47 The proportion of an injury level in a weight group is calculated as number of drivers’ injuries of a
certain level divided by the total number of drivers in that weight involved in frontal collisions.
Page 69
( ) KSI
heavyvs
KSI
lightvs
KSI
heavyvs
KSI
lightvs
KSI
heavyvs
KSI
lightvs PPPP ...... 96.1 +⋅±−=− µµ
( ) INJ
heavyvs
INJ
lightvs
INJ
heavyvs
INJ
lightvs
INJ
heavyvs
INJ
lightvs PPPP ...... 96.1 +⋅±−=− µµ
with:
KSI
lightvs.µ expected value of fatal or seriously injured drivers in a light car after a
frontal collision with a light car
KSI
lightvsP . proportion (data 1999) of fatal or seriously injured drivers in a light car
after a frontal collision with a light car
INJ
lightvs.µ expected value of fatal, seriously or slightly injured drivers in a light car
after a frontal collision with a light car
INJ
lightvsP . proportion (data 1999) of fatal, seriously or slightly injured drivers in a
light car after a frontal collision with a light car
KSI
mediumvs.µ expected value of fatal or seriously injured drivers in a light car after a
frontal collision with a medium car
KSI
mediumvsP . proportion (data 1999) of fatal or seriously injured drivers in a light car
after a frontal collision with a medium car
INJ
mediumvs.µ expected value of fatal, seriously or slightly injured drivers in a light car
after a frontal collision with a medium car
INJ
mediumvsP . proportion (data 1999) of fatal, seriously or slightly injured drivers in a
light car after a frontal collision with a medium car
KSI
heavyvs.µ expected value of fatal or seriously injured drivers in a light car after a
frontal collision with a heavy car
KSI
heavyvsP . proportion (data 1999) of fatal or seriously injured drivers in a light car
after a frontal collision with a heavy car
INJ
heavyvs.µ expected value of fatal, seriously or slightly injured drivers in a light car
after a frontal collision with a heavy car
INJ
heavyvsP . proportion (data 1999) of fatal, seriously or slightly injured drivers in a
light car after a frontal collision with a heavy car
The intervals calculated for the differences in expected values according to the equation
above are presented in Table 8. The calculated values represent a comparison of drivers’
injury levels in light cars after a collision with another light car and after collision with medium
Page 70
or heavy cars. Thus, the change of the injury level in the light car according to the weight of
the accident opponent is documented in the table.
0
10
20
30
40
50
60
light vs.light light vs. medium light vs.heavy light vs.light medium vs. light heavy vs.light
% o
f driv
ers
in th
e lig
ht c
ar
% of drivers KSI in the light car
% of drivers KSI+minor inj. in the light car
Figure 42: Injury proportions in the light car (car 1 – left / car 2 – right) in frontal collisions
Like in Figure 42, two cases are distinguished. In the first row, the injury level of the as car 1
registered light vehicles is analysed. The second row contains the results for calculations for
cases, in which car number 2 is the light car.
light car vs. MEDIUM car light car vs. HEAVY car
heavymediumvslightvs /.. µµ −
lower boundary upper boundary lower boundary upper boundary
KSI -9.10 15.81 -12.02 13.66
LIGHT car1 all injuries -31.34 7.73 -28.12 10.36
KSI -20.49 4.12 -8.61 12.59
LIGHT car2 all injuries -20.14 15.68 -33.04 5.20
Table 8: Interval boundaries for expected values of proportion of injury levels in light cars in
collision with another light car compared to collisions with other heavier cars
Only if both boundaries of the 95%-confidence interval are negative an indication is given
that with increasing weight of the accident opponent also drivers’ injuries get more severe.
Page 71
This condition is never met. So the proportion of injured drivers can be higher, lower or
unchanged with increasing weight of the accident opponent.
Certainly, the small number of observations in each weight category is a problem for any
statistical analysis. But also confounding variables can hide the real relation of safety and
weight. Thus, an attempt to control for such variables has to be made.
10.2.1 Controlled analysis of frontal two-car collisions
The control variables were chosen according to a pre-study, which was described in Chapter
9. Out of 1999’s accident data 107 accidents were selected according to the chosen control
variables48.
But these accidents include just 2 fatally injured drivers. To use the rate of serious and fatal
injuries per travelled distance is under such condition not suitable. Anyhow, Figure 43
illustrates the proportions of the four different injury levels in relation to the opponent cars’
weight. The data is classified according to that weight in five categories in order to identify a
trend of injury severity by weight of the other car. As said before, the number of killed drivers
is not suitable for a comparison. But the proportions of uninjured drivers should be
discussed. These proportions decrease with increasing weight of the other car. Additionally,
the proportions of minor and severe injuries tend to increase. The speculations about a lower
safety level in lighter vehicles induced by heavier cars seem to be confirmed. But does this
offset the assumed higher safety in heavy cars? Regression analyses try to find an answer to
that question.
48 male drivers; age 30-55; model years1995, 1996, 1997, 1998, 1999; speed limit > 50 km/h
Page 72
0%
20%
40%
60%
80%
100%
962 1157 1292 1416 1693
average weight of the OTHER car (in weight classes)
no injuries
light injuries
severe injuries
killed
Figure 43: Proportions of injury levels in five weight classes of the other car’s weight
Further analyses of these selected accidents in light, medium and heavy cars will not be
made, because the set of data is too small.
10.2.2 Regression of frontal collision accident data
Like for single vehicle accidents, multiple regression is used in order to quantify the influence
vehicle weight has on road safety. In principle the same steps are performed as for single
vehicle accidents. But in case of frontal collisions the problem is even more complex and it
involves also the aspect of net safety. The injury level is assumed to depend beside others
on the vehicle weight of the own car and the weight of the other car. Also both cars outer
dimensions might have an influence on the injury level of the driver of the case car. Thus, the
result of the first regression, with the injury severity of the driver of the case car as y-value, is
plotted against the weight of the case car and against the weight of the other car in Figure
44. The regression analyses are all performed according to the equation below, and the
variable description can be seen in Table 9.
776655443322110 xaxaxaxaxaxaxaay ⋅+⋅+⋅+⋅+⋅+⋅+⋅+=
Page 73
Figure 44: Injury levels of drivers involved in frontal collisions 1999 (by weight/length)
It was already discussed for single vehicle accidents that such a regression, as presented
above, which is supposed to predict the injury level of the driver in the case car, does not
result in a suitable model. Thus, other possibilities to quantify the safety-weight/size relation
have to be found.
The same attempts as for single vehicle accidents will be made. These include regression
analyses with drivers killed or injured per travelled distance and injury proportion in different
weight or length classes as y-values. Also in regression analyses of frontal collisions
problems are induced by the classification in 20 groups. Such a classification leads to a
relatively small quantity of data points, which might prevent the regressions from resulting in
reasonable coefficients. But even if the regression models fit the data rather well, they can
never be used to predict future safety levels of Sweden’s passenger car fleet.
Besides that, the distinction between weight and size effect is even more difficult for frontal
collisions. Both variables could influence injury severity, but in case of frontal collisions these
variables of both, the case car and the other car, have to be taken into account. Therefore,
results for more regression analyses than for single vehicle accidents are presented in Table
9.
The results of the first regressions, which are also illustrated in Figure 45 und Figure 46,
could be interpreted as the following: The regression of a weight-classified dataset results in
Page 74
a coefficient for the own weight of 0.0054 in case of KI/1,000,000 vkm as y-values, a by
100 kg increased weight might result in an increase of 0.54 KI/1,000,000 vkm. This seems to
contradict the conclusion drawn from the single vehicle analysis that an increase of vehicle
weight leads to less injuries in that car. The same regression provided a coefficient for the
weight of the other car of –0.0659, an increased weight of the other car might improve safety.
From the net safety point of view one could say that the reduction in injury rate through
increased weight of the other car also offsets increase of the rate through increased weight
of the case car.
These results are quite different from all the conclusions drawn before. The preceding
analyses evaluated an increase in weight of the own vehicle as positive for individual safety,
but it was assumed that a higher weight of the other car could reduce net safety.
The regression of the length-classified dataset does not support those results from weight-
classified data analysis. An increasing length of the own car would result in reductions of
injury rate and proportion, and the weight of the other car increases these rates. These
figures support the conclusions drawn earlier.
In order to reveal the reasons for such contrary results additional regression analyses were
performed. The weight- and the length-classified data are input of regressions, which use
both weight and length of the own and the other car as explanatory variables. But to begin
with, the length of the other car is excluded from the set of explanatory variables. As the y-
value is chosen to be injury rate, the weight of the own car and the one of the other car have
a decreasing effect on injury rate if analysed for weight-classified data.
On the contrary, the classification by the case car’s length leads to coefficients, which could
be interpreted in a way that an increase in the case car’s weight might lead to reductions in
injury rate but an increase of the other car’s weight might increase the rate. And since the
coefficient of the other car’s weight is in absolute numbers larger than the coefficient of the
weight of the own car, an increase in car fleet’s weight could reduce road safety.
If weight as well as length of the other car is taken into account (third result column in Table
9), the results of the regression of the data classified by length support that conclusion. An
additional conclusion is that an increase in length of the other cars reduces accident
consequences measured in drivers killed or injured per travelled distance. But the regression
of data classified by weight still shows other tendencies. The weight of both, the case and the
other car, has a reducing effect on that injury rate. On the other hand, for both data sets the
length of the case car seems to have an increasing effect on the injury rate. When injury
proportions are used as y-values, the same tendencies as for injury rate can be seen (Table
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9). A vehicle’s length seems to have the more important effect on road safety than car weight
of the own or the other car.
KI/1,000,000 vkm ln(P/(1-P)); P: driver in case
variables unit Figure 45/
Figure 46 Figure 45/
Figure 46
a0 137.5800 117.6300 117.7200 -5.8505 -4.5907 -2.3597
a1 X1 length (case car) cm - 0.0450 0.0450 - -0.0028 -0.0014
a2 X2 weight (case car) kg 0.0054 -0.0007 -0.0008 -0.0001 0.0002 0.0000
a3 X3 vehicle age years 2.4438 2.3471 2.3470 -0.0260 -0.0199 -0.0234
a4 X4 driver age years -1.5346 -1.5409 -1.5408 0.0782 0.0786 0.0802
a5 X5 driver gender male/ female
31.6020 34.3950 34.3920 -1.4951 -1.6715 -1.7428
a6 X6 speed limit km/h -0.2994 -0.3069 -0.3069 0.0140 0.0144 0.0138
a7 X7 weight (other car) kg -0.0659 -0.0616 -0.0615 0.0032 0.0029 0.0044
a8 X8 length (other car) cm - - -0.0004 - - -0.0096
classified by
weight of the
case car
MaxErr 10.593 10.7500 10.7500 0.58534 0.6079 0.5859
a0 69.9590 20.5830 89.5120 -2.0540 0.8323 -2.5986
a1 X1 length (case car) cm -0.1109 0.0639 0.1405 0.0055 -0.0047 -0.0085
a2 X2 weight (case car) kg - -0.0330 -0.0456 - 0.0019 0.0026
a3 X3 vehicle age years 0.0083 -0.9669 -1.1398 0.0987 0.1558 0.1644
a4 X4 driver age years -0.9985 -1.2347 -1.1213 0.0475 0.0613 0.0557
a5 X5 driver gender male/ female
-13.4600 -9.6488 -8.6358 0.6686 0.4458 0.3954
a6 X6 speed limit km/h -0.1196 -0.1553 -0.1352 0.0061 0.0082 0.0072
a7 X7 weight (other car) kg 0.0629 0.0861 0.1350 -0.0033 -0.0047 -0.0071
a8 X8 length (other car) cm - - -0.3455 - - 0.0172
classified by
length of the
case car
MaxErr 6.6937 7.0434 7.0634 0.34976 0.3439 0.3449
Table 9: Regression coefficients – frontal collision accidents
But which method, classification by weight or length, results in the most realistic coefficients.
These coefficients give information, which effect the variables weight and length have on
accident consequences and how big these effects are. A look at Figure 45 and Figure 46
should help to detect the differences of both methods that could result in these contrary
results. The first of these figures, representing a regression of the weight-classified data set,
shows that the data is more scattered and also that the model fits the data less well than the
model calculated for the data classified by length. Only the groups of very short or very long
cars give observation of injury rates and proportions that vary a lot.
Anyways, the maximal errors of all regressions presented in Table 9 are rather high so the
coefficients found do not represent the reality on Swedish roads well.
Page 76
Figure 45: Regression – classification by vehicle weight (frontal collisions)
Figure 46: Regression – classification by vehicle length (frontal collisions)
Page 77
Figure 47: Relation between vehicle weight and length –classes by vehicle weight
Figure 48: Relation between vehicle weight and length – classes by vehicle length
Page 78
Figure 47 and Figure 48 illustrate the relation between weight and length of the chosen
weight and length groups. Both figures show an almost equal development. After an
approximately linear increase vehicle weight (Figure 48) as well as vehicle length (Figure 47)
remain almost on the same level, but the group of the longest or heaviest cars represents the
highest value in weight or length. For further discussion about the effect of a car’s outer
dimensions on injury severity the direction of impact has to be known.
Chapter 11 Conclusion of Part II
Heavy passenger cars, especially from Swedish manufacturers have the reputation to be
safe cars. It is therefore not surprising that safe conscious drivers chose these cars.
Conversely, high performance cars, vans and sport utility cars are heavy cars as well but
attract drivers of a more risk taking character. These cars often have high injury rates.
Therefore, the safety effect might be not attributable to a car’s weight or outer dimensions,
but the higher fuel consumption correlates well with a car’s weight. Additionally, newer car
models, equipped with more safety devices, are heavier but also more expensive. Thus,
buyers of such cars are normally experienced older drivers, maybe with a higher education.
So several reasons, besides a car’s construction and weight, come into play when analysing
why heavy cars have lower injury rates. These lower injury rates for heavier and larger
(longer) cars could be found when analysing data for single vehicle accidents and frontal
collisions, although the regressions of frontal collision data have shown also a quite contrary
result. But this is only the case when classifying the data by vehicle weight. Thus, the choice
of input data is important for the quality of the results. No matter if the data was classified by
weight or length, the maximum error between regressions model and observed data is far too
large to speak about a fitted model. A reason could be the usage of groups as input data. By
doing that, only few observation data points could be used, and it was necessary to calculate
average values. But on the other hand, by using classified data, an injury rate by travelled
distance could be used as y-value of the regression. But the question that has to be
answered here is, do I have to reject the hypotheses (Chapter 6)?
The first hypothesis was already discussed. Contrary to the need to save fuel in order to
increase fuel security and to reduce CO2 emissions, the analysis of accident data from year
1999 did show that new car models got heavier. And at least in Sweden is the proportion of
rather light cars small. However, the investigations, what effect vehicle weight on road safety
has, have to go on.
The analysis of single vehicle accidents showed that heavier passenger cars provide better
protection than lighter cars. But it could not be settled, whether collisions between cars of
approximately the same weight are safer than collisions between cars of different weight. All
Page 79
passenger cars involved in frontal collisions were classified in the groups of light, medium,
and heavy cars. Collisions between medium cars tend to have more injuries per travelled
distance than collisions between light or heavy cars, although the rate of severe and fatal
injuries is highest for collisions between light cars.
Furthermore, in collisions between passenger cars of different weight, the driver of the
heavier car seems to be better protected than the one of the lighter car. Regression analyses
were conducted in order to evaluate the effect weight has on safety and to quantify the
already identified relation. In contrary to single vehicle accidents also the weight and size had
to be taken into account. The coefficients for those variables varied a lot in different
regressions. The chosen regression model could not fit the data well. The best fit was
reached for length-classified accident data. And even if the fit of the model would have been
exceptional, it could have never been used for prediction of future developments.
First of all, only passenger cars could be included in these analyses, for truck and light truck
for instance were no exposure data available. No estimate of this measure could be done, as
the function provided by the Swedish National Road Administration49 was only valid for
passenger cars. Pedestrians and other vulnerable road users should have been included in
such an analysis. And naturally, one could not predict the effect new car models will have.
New models do not only differ in weight or length, new materials and construction principles
and not at least new developments in active safety systems will alter the injury risk and the
risk of being involved in accidents. With those new car models also other accident patterns
could occur.
49 See Figure 19
Page 80
PART III FINAL CONCLUSION
Both, reducing CO2 emissions and fatalities and seriously injured persons in road traffic, are
high priority goals of Swedish and international policy. As one measure to reduce fuel
consumption and by that reducing CO2 emissions my master’s thesis focused on weight
reduction of road vehicles, although the European and Swedish passenger car fleets tend to
get heavier. Only passenger cars have been included, because for no other vehicle type
exposure data could be estimated.50 To include non-motorised road users is another complex
problem.
A literature review revealed a quite contrary view of the scientific world on the relation of fuel
consumption and weight on road safety. The main problem seems to be the confusion of
weight and size and limitations in data availability. The literature on subjects like multiple-
vehicle accidents is fragmented, partly because of the large number of configurations
associated with these accidents. The amount of data that would be needed in order to
conduct a complete analysis of the weight-safety relationship, including all vehicle types and
accident types, is enormous. In the first place, all different variables the accident
consequences depend on have to be found. These variables probably differ between the
vehicle and accident types. Besides that, a suitable measure of exposure has to be found to
put for instance the injury risk of different vehicle types “on a level playing field”.
The attempt to quantify the effect weight has on safety on Swedish roads produced mixed
results. But even though the regression models for single vehicle accidents and frontal
collisions fit the data rather badly, basic trends could be found. The analyses of single
vehicle accidents and frontal collisions indicated advantages of heavier cars in protecting
their occupants, but these advantages seem to be offset because heavier vehicles tended to
increase the injury risk of the drivers of the cars they collided with.
The correlation between weight and length could be shown, and both affect safety. But the
weight effect could not successfully be isolated from the effect of length. And for further
analysis width should be included, when also the direction of impact is known more qualified
conclusions could be drawn. Another aspect of further analysis is to use more detailed
exposure data. The used exposure data was only chosen according to vehicle age. But in the
long run in order to include light and heavy trucks a better data basis is needed. Also better
50 The function provided by the Swedish National Road Administration estimating vehicle kilometres
travelled annually is valid for passenger cars only (Figure 19).
Page 81
data on variables, like seat belt use or air bag deployment should be available in order to
analyse weight and size effects on road safety.
Anyhow, even if assumed that weight reductions would be made in order to serve CO2
reduction goals and if assumed this would have an adverse effect on safety, other measures
could accompany weight reductions and neutralise any adverse effect that CO2 reduction
policy might have on safety. In paragraph 3.2.2 different strategies were presented that
would help to achieve CO2 reduction goals without conflicting with safety or even improve
road safety.
To summarise the results of this master’s thesis the following can be said. The connection of
CO2 reduction and safety is not entirely understood, which also opposes a policy that serves
both goals, reduced CO2 emissions and improved road safety. The confusion of size and
weight effects remains problematic. There is a need to develop a measure of overall car
safety. With such a measure politicians could specify a level of car safety. “Vision zero” and
the definition of a certain number of fatalities and severe injuries in road traffic in general
have not shown to be as effective as the politicians intended them to be.
Even if a measure of overall car safety would be available and suitable data would be
analysed with a suitable method, the results could never predict future developments. The
impact of new designs or technologies in more recent vehicles will be revealed as they enter
the market. This on-the-road experiment has to be observed. Therefore, important future
investigations have to look more closely at “before vs. after” injury rates of specific make
models that were redesigned, with important changes in materials or structure.
It is possible that car manufacturers like Volvo and Saab already conduct such studies. To
get this kind of information a survey including manufacturers could be conducted, which may
include also the following:
- How does/did Swedish and international policy change car design?
- How are CO2 reductions and safety evaluated during the design process? Do they
have a standard method? Which measures are used for car safety?
- Is either CO2 or road safety considered to be most important during the car design
process in the last two decades?
These questions remain open for future research, which can build up on the methods and
findings of this thesis. Especially, cooperation with road vehicle manufacturers, to include all
road users and the availability of exposure data are important to find the true weight-safety
relationship.
Page 82
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(IVHS) to reducing transportation’s greenhouse gas production. Transportation Research
Part A, Vol. 27A, No. 3, pp 207-216, 1993
Trawén, Anna, Maraste, Pia, Persson, Ulf (2002): International comparison of costs of a fatal
casualty of road accidents in 1990 and 1999. Accident Analysis and Prevention, Vol. 34, No.
3, pp 323-332, 2002
Van den Brink, Robert M.M., van Wee, Bert (2001): Why has car-fleet specific fuel
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Page 86
Watterson, W.T. (1993): Linked simulation of land use and transportation systems:
developments and experience in the Puget sound region. Transportation Research Part A,
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WHO (2001): A 5-Year WHO Strategy for Road Traffic Injury Prevention. World Health
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Internet sources:
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Personal contacts:
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Borlänge
Appendix A Written MATLAB scripts
import_a_p.m import_acc.m import_driv.m import_veh.m
matrices.m
plot_1.m
control_var_vkm.m
import of raw data from CD
pre-
stud
y matrix of animal and pedestrian accidents is formed; first plots show comparisons to Sweden’s car registrations
correlation analysis
imp2_acc.m imp2_driv.m imp2_veh.m
reductions.m
import of raw data from CD
final
ana
lysi
s
matrices containing single vehicle accidents and frontal collisions of passenger cars (1999) are formed
matrices_sm99.m
Ana_single.m
Ana_single_reg.m
Ana_front.m
Ana_front_reg.m
analyses of single vehicle accidents (simple figures and regression)
analyses of frontal collision accidents (simple figures and regression)
Appendix B Variables in the accident data base
(list provided by Lennart Larsson Vägverket, Borlänge, Sweden)
Uttag av trafikolycksdatabasen som textfil
Uttag av databas kan göras via program oly204 i vägverkets ärendehanterare Nedan visas vilka fält som finns på de olika filerna, som tagits fram till externa användare. Urvalet avser ALLA FÄLT. Sidorna är avsedda att följa med databasuttaget. Alla fält på filerna är deklarerade som alfanumeriska oavsett fältutseende i databasen. Mellan varje fält finns en avskiljare i form av semikolon (;). Samtliga termer (utom polisområde och hemvist) avser förhållandet vid olyckstillfället. I förteckningen nedan är fälten sorterade efter hur de är lagrade i databasen. --------------------------------------------------------------------------------------------------------------------- FIL : OLYCKA.DAT TABELL: OLYCKA Olycka --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet ANTELEMENT 4 antal trafikelement ATRAF_AXP 9 trafikflöde [axelpar per årsdygn] ATRAF_FORDON 9 " --- [fordon per årsdygn] ATRAF_TUNG 9 " --- [tunga fordon per årsdygn] BELYSNING 4 vägbelysning BROOLYCKA 4 broolycka DELSTRAAKNR 4 delstråknummer DOEDADE 4 antal dödade personer EJSVAENG 4 vänstersvängsförbud FOELJDOLYCKA 4 följdolycka HASTIGHET 4 hastighetsbegränsning [km/h] KOMMUN 4 kommun [kod] KONFLIKTTYP 4 konflikttyp KORSNTYP 4 korsningstyp KVAEGKAT 4 vägkategori för anslutande väg LISKADADE 4 antal lindrigt skadade personer LJUS 4 ljusförhållande MBREDD 4 mittremsebredd [dm] OLANDRDATUM 6 ändringsdatum, ÅÅMMDD OLKLOCKSLAG 4 klockslag OLPLATSTYP 4 platstyp OLREGDATUM 6 registreringsdatum, ÅÅMMDD OLVECKODAG 4 veckodag OLYCKSDATUM 9 olycksdatum, ÅÅÅÅMMDD OLYCKSTYP 4 olyckstyp ORT 25 ort / stadsdel POLISDNR 12 polisens diarienummer POLISDISTR 4 polisdistrikt SLITLAGER 4 slitlager
STOPP 4 stoppskyldighet STRAAKNUMMER 4 stråknummer STRAAKTYP 4 stråktyp SVSKADADE 4 antal svårt skadade personer TRAFIKBEBYGG 4 bebyggelsetyp TRAFIKSIGNAL 4 trafiksignal TUNNELOLYCKA 4 tunnelolycka VAEDER 4 väderlek VAEGARBETE 4 vägarbete VAEGHAALLARE 4 väghållare VAEGKAT 4 vägkategori VAEGLAG 4 väglag VAEGNR 9 vägnummer VAEGTYP 4 vägtyp VAEJNING 4 väjningsskyldighet VBREDD 4 vägbredd [dm] VILTSTAENG 4 viltstängsel LAEN 4 län REGION 4 väghållningsregion SVAARIGHET 4 svårhetsgrad OLMAANAD 4 månad OLAAR 4 år POLISOMRÅDE 4 polisområde (vid uttagstillfället) VINTVAEGHALL 4 vinterväghållningsstandardklass --------------------------------------------------------------------------------------------------------------------- FIL : OLYCKSU.DAT TABELL: OLYCKSUPP Olycksuppgift ---------------------------------------------------------------------------------------------------------------------
Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet UPPGIFTNR 4 olycksuppgiftsnummer KODF 9 olycksomständighet OUPPGIFTTERM 4 olycksuppgift --------------------------------------------------------------------------------------------------------------------- FIL : GAAENDE.DAT TABELL: GAAENDE Gående --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet ANTPERS 4 antal personer i trafikelementet FRVBNR 4 frånvägbensnummer OEVERGAANG 4 gång- / cykel- / mopedanläggning PRIMELEMENT 4 primär- / sekundärelement ROERELSETYP 4 rörelsetyp TIVBNR 4 tillvägbensnummer TRAFELEMENT 4 trafikelementnummer TRAFELEMTYP 4 trafikelementtyp
--------------------------------------------------------------------------------------------------------------------- FIL : Y_OLY.DAT TABELL: Y_OLY Olycksplats – ej vdb --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet AVST 9 avstånd från referensort / -gata A [m] REFPA 25 referensort / -gata A REFPB 25 referensort / -gata B OLPLATSUPPG 25 platsuppgift OLVG 25 olycksväg / -gata ADRESSNR 4 adressnummer å olycksväg / -gata X_KOORD 9 x-koordinat Y_KOORD 9 y-koordinat Z_KOORD 9 z-koordinat --------------------------------------------------------------------------------------------------------------------- FIL : Z_OLY.DAT TABELL: Z_OLY Olycksplats - vdb --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet DATF 9 olyckans datum KNP 9 knutpunkt för olycka i knutpunkt KNPA 9 knutpunkt A för olycka på länk KNPB 9 knutpunkt B för olycka på länk LDATF 9 länkens födelsedatum SEKT 9 sektion från A [m] LROLL 4 länktyp OLVG 25 olycksväg/-gata X_KOORD 9 x-koordinat Y_KOORD 9 y-koordinat Z_KOORD 9 z-koordinat --------------------------------------------------------------------------------------------------------------------- FIL : PASSAGER.DAT TABELL: PASSAGERARE Passagerare / instruktör --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer PASSAGERARNR 4 person nummer AALDER 4 ålder [år] INSTRUKTOER 4 instruktör vid övningskörning KOEN 4 kön PASSPLATS 4 placering på/i fordon SKADEGRAD 4 skadegrad HANDLEDGOD 4 handledargodkännande TRAFKAT 4 trafikantkategori
Har 'N' angivits för körkortsuppgifter finns enbart följande fält:
OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer PASSAGERARNR 4 person nummer AALDER 4 ålder [år] INSTRUKTOER 4 instruktör vid övningskörning KOEN 4 kön PASSPLATS 4 placering på/i fordon SKADEGRAD 4 skadegrad TRAFKAT 4 trafikantkategori --------------------------------------------------------------------------------------------------------------------- FIL : FOERARE.DAT Rev. 1998-12-10 TABELL: FOERARE Förare --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer AALDER 4 ålder [år] BEHOERDATUM 9 ursprungligt utfärdandedatum för körkortsklass vid olyckstillfället BEHOERIGHET 4 körkortsklass vid olyckstillfället KOEN 4 kön KOERKORTINDR 9 körkort indraget, datum SKADEGRAD 4 skadegrad (TRAKTORKORT 4 traktorkort – termen har utgått) UTBYTTUTL 4 utbytt utländsk körkort VARNING 9 körkortsvarning, datum TAXIBEHOER 9 taxiförarlegitimation utfärdad, datum FOERARHEMV 9 förarhemvist [postnummer] (vid hämtningstillfället) PASSPLATS 4 placering - för förare alltid förarplats (1) INSTRUKTOER 4 instruktör HANDLEDGOD 4 handledargodkännande U_BEHOERIG 4 1:a körkortsklass exklusive traktorbehörighet U_BEHOERDAT 9 1:a körkort ursprungligen utfärdat, datum INNEHAVSTID 9 körkortsinnehavstid [månader] TRAFKAT 4 trafikantkategori Ł does it equal trafikelementtyp? Har 'N' angivits för körkortsuppgifter finns enbart följande fält: OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer AALDER 4 ålder [år] KOEN 4 kön SKADEGRAD 4 skadegrad FOERARHEMV 9 förarhemvist [postnummer] (vid hämtningstillfället) PASSPLATS 4 placering – för förare alltid förarplats TRAFKAT 4 trafikantkategori
--------------------------------------------------------------------------------------------------------------------- FIL : DJUR.DAT TABELL: DJUR Djur --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet PRIMELEMENT 4 primär- / sekundärelement TRAFELEMENT 4 trafikelementnummer TRAFELEMTYP 4 trafikelementtyp --------------------------------------------------------------------------------------------------------------------- FIL : VBEN.DAT TABELL: VBEN Vägben --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet VBENNR 4 vägbensnummer ANSLTYP 4 anslutningstyp KNPA 9 knutpunkt A för länk KNPB 9 knutpunkt B för länk LDATF 9 länks födelsedatum RIKTNING 4 riktning med / mot länk SEKT 9 sektion från A [m] REFPA 25 referensort / -gata A REFPB 25 referensort / -gata B LROLL 4 länktyp --------------------------------------------------------------------------------------------------------------------- FIL : MOTORF.DAT Rev. 1998-12-10 TABELL: MOTORFORDON Motordrivet fordon --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet TRAFELEMT 4 trafikelementnummer AARSMODELL 4 årsmodell ANTPERS 4 antal personer ANTSLAEP 4 antal släp BESIKTNDATUM 9 besiktningsdatum BESIKTNSTAT 4 besiktningsstatus BREDD 4 fordonsbredd [cm] DRIVMEDEL 4 drivmedel EFFEKTNORM 4 motoreffektnorm EKIPAGELGD 4 ekipagelängd [cm] EKIPAGEVIKT 9 ekipagevikt [kg] FABRIKAT_TYP 24 fabrikat och typ FAERG 4 färg FOERSBETALD 4 försäkring betald FORDONAEGARE 4 fordonsägare FORDONNATION 4 fordonsnation FRVBNR 4 frånvägbensnummer
KAROSSERIKOD 4 karosserikod KOPPLINGAVST 4 kopplingsavstånd (cm) LAENGD 4 fordonslängd [cm] LEASINFORDON 4 leasingfordon MAXPASS 4 maxantal passagerare MODELLKOD 6 modellkod MOTOREFFEKT 4 motoreffekt [kW] ROERELSETYP 4 rörelsetyp PRIMELEMENT 4 primär- / sekundärelement STULET 4 stöldanmält fordon TIVBNR 4 tillvägbensnummer TJVIKT 9 tjänstevikt [kg] TOTALVIKT 9 totalvikt [kg] TRAFELEMTYP 4 trafikelementtyp UTRYCKNING 4 utryckningsfordon / taxi VAEXELLAAD 4 växellåda YRKESTRAFKOD 4 yrkestrafiktillstånd FORDONSTATUS 4 fordonsstatus CYLINDERVOLYM 4 cylindervolym (cm3) AXELANTAL 4 axelantal EKIPAGEAXL 4 ekipageaxlar fordon + släp GRUPPKOD 9 gruppkod KROCKKUDDE 4 krockkudde för framsätespassagerare HANDIKAPPANP 4 handikappanpassat fordon Har 'N' angivits för fordonstekniska uppgifter finns enbart följande fält: OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer ANTPERS 4 antal personer ANTSLAEP 4 antal släp FORDONNATION 4 fordonsnation FRVBNR 4 frånvägbensnummer ROERELSETYP 4 rörelsetyp PRIMELEMENT 4 primär- / sekundärelement TIVBNR 4 tillvägbensnummer TRAFELEMTYP 4 trafikelementtyp --------------------------------------------------------------------------------------------------------------------- FIL : OEVRIGF.DAT TABELL: OEVRIGFORDON Övriga fordon --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet ANTPERS 4 antal personer i trafikelementet FRVBNR 4 frånvägbensnummer ROERELSETYP 4 rörelsetyp PRIMELEMENT 4 primär- / sekundärelement TIVBNR 4 tillvägbensnummer TRAFELEMENT 4 trafikelementnummer TRAFELEMTYP 4 trafikelementtyp
--------------------------------------------------------------------------------------------------------------------- FIL : CY_MOPED.DAT TABELL: CYKEL_MOPED Cykel och moped --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet ANTPERS 4 antal personer i trafikelementet FRVBNR 4 frånvägbensnummer OEVERGAANG 4 gång- / cykel- / mopedanläggning ROERELSETYP 4 rörelsetyp PRIMELEMENT 4 primär- / sekundärelement TIVBNR 4 tillvägbensnummer TRAFELEMENT 4 trafikelementnummer TRAFELEMTYP 4 trafikelementtyp --------------------------------------------------------------------------------------------------------------------- FIL : FORDONSH.DAT TABELL: FORDONSHAEND Fordonshändelser --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer HAENDNR 4 händelsenummer HAENDELSE 4 händelse SIDA 4 händelseriktning / -sida / -läge --------------------------------------------------------------------------------------------------------------------- FIL : SLAEP.DAT TABELL: SLAEP Släpfordon --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet SLAEPNR 4 släpnummer AARSMODELL 4 årsmodell TRAFELEMENT 4 trafikelementnummer BESIKTNDATUM 9 besiktningsdatum BESIKTNSTAT 4 besiktningsstatus FABRIKAT_TYP 24 fabrikat KAROSSERIKOD 4 karosseri KOPPLINGAVST 4 kopplingsavstånd [cm] MODELLKOD 6 modellkod TJVIKT 9 tjänstevikt [kg] TOTALVIKT 9 totalvikt [kg] AXELANTAL 4 axelantal GRUPPKOD 9 gruppkod Har 'N' angivits för fordonstekniska uppgifter finns enbart följande fält: OLYCKSID 9 olycksidentitet TRAFELEMENT 4 trafikelementnummer
--------------------------------------------------------------------------------------------------------------------- FIL : FORDONSU.DAT TABELL: FORDONSUPPG Elementuppgift --------------------------------------------------------------------------------------------------------------------- Fältnamn Längd Klartext OLYCKSID 9 olycksidentitet UPPGIFTNR 4 elementuppgiftsnummer TRAFELEMENT 4 trafikelementnummer KODF 9 elementomständigheter UPPGIFTTERM 4 elementuppgift --------------------------------------------------------------------------------------------------------------------- (Slut på listan)