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  • 标题:Analysis and evaluation of the effect of studded tyres on road pavement and environment (III)/Dygliuotuju padangu poveikio kelio dangai ir aplinkai analize bei vertinimas (III)/ Radzoto riepu ietekmes efekta uz cela segumu un apkartejo vidi analize un izvertejums (III)/Naastrehvide moju teekattele ja keskkonnale analuus ja hindamine (III).
  • 作者:Laurinavicius, Alfredas ; Miskinis, Dainius ; Vaiskunaite, Rasa
  • 期刊名称:The Baltic Journal of Road and Bridge Engineering
  • 印刷版ISSN:1822-427X
  • 出版年度:2010
  • 期号:September
  • 语种:English
  • 出版社:Vilnius Gediminas Technical University
  • 摘要:In the last several years a number of passenger cars using studded winter tyres on Lithuanian roads have been gradually decreasing. This fact is also confirmed by the tyre sellers. Based on their data, 5-7 years ago the sales of studded tyres for passenger cars made 40-60%, whereas, in the last winter season of 2008 the sales of studded tyres (and of those prepared for studding) made only 4-8% of the total sales of winter tyres. Such a low percent of the sales of studded tyres was influenced by the newly accepted legal acts providing for a future prohibition of the use of studded tyres on Lithuanian roads. Besides, the car owners who travel or plan to travel by car to the European Union (EU) member-states (starting with Poland and further to the south) choose to buy non-studded winter tyres since the use of studded tyres in those countries is prohibited.
  • 关键词:Pavements;Tires

Analysis and evaluation of the effect of studded tyres on road pavement and environment (III)/Dygliuotuju padangu poveikio kelio dangai ir aplinkai analize bei vertinimas (III)/ Radzoto riepu ietekmes efekta uz cela segumu un apkartejo vidi analize un izvertejums (III)/Naastrehvide moju teekattele ja keskkonnale analuus ja hindamine (III).


Laurinavicius, Alfredas ; Miskinis, Dainius ; Vaiskunaite, Rasa 等


1. Introduction

In the last several years a number of passenger cars using studded winter tyres on Lithuanian roads have been gradually decreasing. This fact is also confirmed by the tyre sellers. Based on their data, 5-7 years ago the sales of studded tyres for passenger cars made 40-60%, whereas, in the last winter season of 2008 the sales of studded tyres (and of those prepared for studding) made only 4-8% of the total sales of winter tyres. Such a low percent of the sales of studded tyres was influenced by the newly accepted legal acts providing for a future prohibition of the use of studded tyres on Lithuanian roads. Besides, the car owners who travel or plan to travel by car to the European Union (EU) member-states (starting with Poland and further to the south) choose to buy non-studded winter tyres since the use of studded tyres in those countries is prohibited.

Based on the above statistical data, it was assumed in the calculations that in winter 15% of passenger cars use studded winter tyres. Thus, in the economic evaluation of studded tyres the analysis of their benefit and damage was carried out, i.e. the following aspects were analyzed and compared: the price of studded tyres; their effect on braking distance, fuel costs, road pavement, pavement marking, initiation of particulate matter (PM) and on the increase in noise emissions (Laurinavicius et al. 2009; Vaiskunaite et al. 2009).

2. Accident losses caused by passenger cars using non-studded and studded tyres

Based on data of the Association of Companies for Road Vehicle State Technical Inspection Transeksta, according to the number of road vehicles presented for the initial technical inspection Lithuania has ~1100000 of the used passenger cars use, of which 15% (~165 000 units) are equipped with winter tyres having studs. The driver, having acquired winter tyres, uses them on the average for 4 years. Thus, the additional costs for the Lithuanian drivers (between studded and non-studded winter tyres) will average to 1.91-2.39 mln EUR/year:

[K.sub.[DELTA]P] = [DELTA][K.sub.ZD] x [T.sub.ZD]/[P.sub.T] =

(46.34 - 57.92) x 165000/4 = 1.91 - 2.39 mln EUR/year, (1)

where [K.sub.[DELTA]P]--additional annual costs for the Lithuanian drivers having acquired studded winter tyres, mln EUR/year; [DELTA][K.sub.ZD]--difference between the prices of studded and non-studded winter tyres, EUR; [T.sub.ZD]--number of passenger cars equipped with studded winter tyres, units; [P.sub.T]--average service life of studded winter tyres, years.

If a theoretical assumption is made that the use of studded tyres in winter is obligatory, the additional costs for the drivers ([K.sub.[DELTA]PT]) (between studded and non-studded winter tyres) would amount to 12.74-15.93 mln EUR/year:

[K.sub.[DELTA]P] = (46.34 - 57.92) x 1100000/4 = 12.74-15.93 mln EUR/year. (2)

Many of world-wide investigations to determine a percentage difference in road accidents using studded and non-studded winter tyres showed that when using passenger cars with studded tyres on snowy or icy road pavement the accident risk is reduced by 5%, on dry and wet pavement--by 2%. When using passenger cars with studded tyres under various (all) traffic conditions the accident risk is reduced by up to 4%.

Having calculated the average of accidents of 2005-2008 winter seasons and the distribution of accident victims according to pavement condition, it could be stated that in this period the average number of accidents was 2329 where 267 people were killed and 2757 were injured. Since no data is available on the type of winter tyres (studded or non-studded), it was assumed in the calculations that 15% of accident-involved passenger cars were using studded tyres and 85%--non-studded tyres. Correspondingly, accidents were calculated where the passenger cars with studded tyres were damaged. In the calculations the effect of studded tyres on the accident risk was taken into consideration (i.e. the accident risk is reduced by 4% on the average).

It was calculated that 15% of the Lithuanian road users used studded tyres in winter, therefore, on the average 1.6 lives were saved and 16.54 less people were injured every year compared to the case if all passenger cars had used non-studded tyres. If accident costs are multiplied by these reductions it is obtained that due to the use of studded tyres in Lithuania the damage caused by road accidents is reduced by 1.81 mln EUR/year on the average. In the further analysis of this research, when calculating damage caused by road accidents, the damage (theoretical) caused by vehicles with studded tyres (from 1 November to 1 April) was compared to that with non-studded tyres. Definitely, this calculation is more theoretical since in this case a legal act would be necessary prohibiting the use of winter non-studded tyres. Accident-caused damage when using passenger cars with non-studded and studded tyres is given in Fig. 1.

Though, when using passenger cars with studded tyres under various traffic conditions, the risk of accidents is reduced only by 4%, a number of people killed and injured on the Lithuanian roads in the recent 4 years shows that the average theoretical difference in the use of passenger cars with non-studded and studded tyres makes 12.86 mln EUR per year (Elvik, Vaa 2004; Kapski et al. 2008; Tampere et al. 2009).

3. The effect of winter tyres on fuel costs

Vehicle fuel costs are increased by 15% on icy and snowy road pavements compared to dry roads. It was determined in the foreign researches that when using a passenger car with studded tyres the fuel costs increase from 1.2% to 2% compared to non-studded tyres (Scheibe 2002; Zubeck et al. 2004) and according to some sources--even from 4% to 8%. Fuel costs in winter depend not only on the type of tyres (studded or non-studded) but also on road maintenance, driving speed, mode of driving, etc. The Vehicle Operating Costs (VehOC's) of a passenger car (EUR/1000 veh-km) under different pavement roughness in the year 2008 are given in Fig. 2.

With the help of Highway Development and Management model-4 (HDM-4) the VehOC's under different pavement roughness were calculated. In the model the fuel costs of passenger cars make 30-40% of the total transport expenditures. In the calculations of this research it was assumed that the fuel costs of a passenger car make 35% of its total operating costs.

The annual average daily traffic (AADT) and its composition on the roads of different groups by the different class of vehicles in 2008 are given in Table 1. The AADT on all the roads of national significance is 1414 vehicles per day, of which 1087 are passenger cars.

The AADT of passenger cars in the different group of roads (Accumulation and renewal of traffic data of the roads of national significance, 2008) is given in Fig. 3.

The annual mileage by vehicles is the total amount of vehicle kilometres per year on the considered road or its section. This index reflects the size of the national vehicle fleet and the volume of its use. The annual mileage AM is calculated by the Eq (3):

AM = AADTxLx365; (3)

where AM--the annual mileage of the vehicle kilometres per year, veh-km/year; AADT--annual average daily traffic of the road section per day, vpd; L- length of the road section, km.

The annual mileage by vehicles per a group of roads is calculated as the sum of annual mileage on the separate sections of this group of roads AM. Based on the previously analyzed statistical traffic data and the length of Lithuanian roads of national significance, the annual mileage was calculated for the main and national roads in 2006-2008 (Fig. 4).

Having made the analysis of traffic volume of the roads of national significance, it was calculated that from 1 November to 1 April the annual mileage by passenger cars makes 35.80% of the total annual mileage.

Based on the statistical traffic data, traffic composition and the calculated annual mileage, it is possible to calculate how many kilometres in the different group of roads are travelled by passenger cars per year, how many kilometres are travelled in winter and how many kilometres are travelled by passenger cars with studded tyres.

In the beginning of 2009 the average pavement roughness on the main roads was 2.27 m/km, on national roads--3.16 m/km, and on regional roads--4.50 m/km. Based on the calculated annual mileage by passenger cars with studded tyres in winter (Fig. 5), the average pavement roughness and the difference in fuel costs under the existing pavement roughness (Fig. 2), it is possible to calculate what is the increase in the annual fuel costs for the road users travelling by passenger cars with studded tyres:

[C.sub.F] = [AM.sub.PC] x [RV.sub.PRFC]; (4)

where [C.sub.F]--the annual fuel costs for the road users travelling by passenger cars with studded tyres, mln EUR/year; [AM.sub.PC]--the annual mileage by passenger cars with studded tyres in winter per year, veh-km/year; [RV.sub.PRFC]--the ratio between values of the average pavement roughness and of the difference in fuel costs under the existing pavement roughness per kilometer, EUR/km.

It is possible to calculate by the Eq (4):

On main roads:

205.90x[10.sup.6]x3.51x[10.sup.-9]=0.72 mln EUR/year;

On national roads:

164.00x[10.sup.6]x3.72x[10.sup.-9]=0.61 mln EUR/year;

On regional roads:

82.91x[l0.sup.6]x4.22x[l0.sup.-9]=0.35 mln EUR/year;

Total: 1.68 mln EUR/year.

It was determined that when using passenger cars with studded tyres their fuel costs are increased by 4%, the road users (owners or managers of vehicles), solely on the roads of national significance, incur the additional fuel costs of 1.68 mln EUR/year.

Theoretical damage to the road users due to the increased fuel costs, if all passenger cars had to obligatory use studded tyres in winter, solely on the roads of national significance, would make 11.24 mln EUR/year of additional fuel costs. It is possible to calculate:

[C.sub.TF] = [AM.sub.TPC] x [RV.sub.PRFC]; (5)

where [C.sub.TF]--the annual fuel costs for the road users travelling by passenger cars with studded tyres (if all passenger cars had to obligatory use studded tyres in winter), mln EUR/year; [AM.sub.TPC]--the annual mileage by passenger cars with studded tyres in winter per year (if all passenger cars had to obligatory use studded tyres in winter, from 1 November to 1 April), veh-km/year; [RV.sub.PRFC]--the ratio between values of the average pavement roughness and of the difference in fuel costs under the existing pavement roughness per kilometer, EUR/km.

It is possible to calculate by the Eq (5):

On main roads:

1372.70x[10.sup.6]x3.52x[10.sup.-9] = 4.83 mln EUR/year;

On national roads:

1093.10x[10.sup.6]x3.73x[10.sup.-9] = 4.08 mln EUR/year;

On regional roads:

552.70x[10.sup.6]x4.22x[10.sup.-9 = 2.33 mln EUR/year;

Total: 11.24 mln EUR/year.

4. Damage to the environment due to the initiation of particulate matter and noise from winter tyres

Global changes affecting climate change are greenhouse effect and the depletion of the ozone layer. Lithuania, having ratified the Kyoto Protocol in 2002, like other EU countries committed itself in 2008-2012 to reduce its greenhouse gas emissions by 8% compared to the year 1990 (Environmental Impact Assessment of the Reconstruction of the Road A5 Kaunas-Marijampole-Suwalki 22.0-56.5 km section; Environmental Impact Assessment of the Vilnius City Southern By-pass Between the Roads A1 Vilniaus-Kaunas-Klaipeda and A3 Vilnius-Minsk 0.0-7.6 km section). Gases, exhaust from road vehicles and affecting regional pollution, are as follows: nitrous oxide (NOx), sulphur oxide (S[O.sub.2]), volatile organic compounds (VOCs), carbon monoxide (CO), particulate matter ([PM.sub.2.5]). The amount and composition of pollutants exhaust from road vehicles into the ambient air depend on the annual average daily traffic, share of heavy traffic, annual mileage, fuel quality, technical characteristics of vehicles, number of stops and starts, traffic congestions, etc. (Gustafsson et al. 2008; Ketzel et al. 2007; Kupiainen 2007; Schmit, Schlender 2003; Vallius 2005).

Taking into consideration the impact of one of vehicle-generated pollution sources, i.e. studded tyres, on the environment, the analysis was focused only on particulate matter. Particulate matter is a mixture of particles and liquid droplets (aerosols) suspended in the ambient air and consisting of different components--acids, sulphates, nitrates, metals, organic compounds, soil particles, dust, smut. In winter road vehicles, especially those using studded tyres, cause also a secondary pollution with particulate matter. This means that the studded winter tyres destroy road pavement, lift into the ambient air the remnants of destroyed pavement, the spread sand and salt mixture and uncollected mud, and when using such tyres on "bare" road pavement (without ice or snow)--fine and very dangerous micro elements initiated during traction. The Swedish researchers have determined that a passenger car with studded tyres having travelled 1 km "mills out" about 5-12 g of asphalt particles on a rural road and about 2-5 g on a city street. In cities the wear of asphalt pavements is slower due to a lower driving speed (Haal et al. 2008; Norman, Johansson 2006; Raisanen et al. 2005).

It was assumed in the calculations that one vehicle with studded tyres having travelled one kilometre on a rural road "mills out" 2 g of asphalt particles.

When assessing the effect of studded tyres on the initiation of particulate mater it was assumed that 15% of the total number of passenger cars in winter (i.e. 5 months per year) uses studded tyres. Having made the analysis of traffic volume on the roads of national significance it was calculated that from 1 November to 1 April the passenger cars travel 35.8% on he average of the total annual mileage. Based on the calculated annual mileage by passenger cars with studded tyres per year (Fig. 6) it is possible to calculate how much particulate matter is "milled out" from the road pavement by the studs of winter tyres on the roads of national significance:

[Q.sub.T] = [AM.sub.PC] x [Q.sub.G]; (6)

where [Q.sub.T]--the total quantity of asphalt particles, which "milled out" from the road pavement passenger cars with studded tyres per year on the roads of national significance, t/year; [AM.sub.PC]--the annual mileage by passenger cars with studded tyres in winter per year, veh-km/year; [Q.sub.G]--the quantity of asphalt particles, which "mills out" from the road pavement one vehicle with studded tyres having travelled one kilometre, g/km.

It is possible to calculate by the Eq (6):

On main roads:

205.9x[l0.sup.6]x2 = 411.80 t/year;

On national roads:

164.0x[10.sup.6]x2 = 328.00 t/year;

On regional roads:

82.9x[l0.sup.6]x2 = 165.80 t/year;

Total: 905.60 t/year.

The cost of ambient air pollution is given in Fig. 6 (Feasibility Study for the Need of Repair Works of the Roads and Bridges of National Significance).

Based on a number of asphalt particles "milled out" by the studs of winter tyres from the asphalt pavement on main, national and regional roads and the cost of particulate matter pollution in a rural territory (Fig. 6), the damage from the studs was calculated:

[D.sub.TS] = [Q.sub.T] x [C.sub.RT]; (7)

where [D.sub.TS]--the damage of the tyres studs on the roads national significance per year, mln EUR/year; [Q.sub.T]--the total quantity of asphalt particles, which "milled out" from the road pavement passenger cars with studded tyres per year on the roads of national significance, t/year; [C.sub.RT]--the cost of particulate matter pollution in a rural territory, EUR/t.

It is possible to calculate by the Eq (7):

On main roads:

411.80x37500.29 = 15.44 mln EUR/year;

On national roads:

328.00x37500.29 = 12.30 mln EUR/year;

On regional roads:

165.80x37500.29 = 6.22 mln EUR/year;

Total: 33.96 mln EUR/year.

In Lithuania, in a period of winter season almost 15% of passenger cars use studded winter tyres which exhaust into the ambient air particulate matter and negatively affect human health. It was determined that this damage, solely on the roads of national significance, amounts to 33.96 mln EUR/year.

Taking into consideration the use of studded tyres on the local roads (also in a residential area, especially in city streets), damage to the public would be increased even more. Due to the lack of statistical data on a number of kilometres travelled on these roads, damage to the public due to the increased particulate matter was not assessed.

For this purpose a theoretical damage was calculated which would be caused by particulate matter if all passenger cars in a winter season (from 1 November to 1 April) had to obligatory use only studded tyres. A theoretical amount of asphalt particles "milled out" from the pavement of the roads of national significance, if all passenger cars used only studded tyres in winter, would amount to 6037.00 t/year:

[T.sub.PM] = [AM.sub.TPC] x [Q.sub.G]; (8)

where [T.sub.PM]--the theoretical damage of particulate matter from the tyres studs on the roads national significance per year (if all passenger cars in a winter season (from 1 November to 1 April) had to obligatory use only studded tyres), t/year; [AM.sub.TPC]--the annual mileage by passenger cars with studded tyres in winter per year (if all passenger cars had to obligatory use studded tyres in winter, from 1 November to 1 April), veh-km/year; [Q.sub.G]--the quantity of asphalt particles, which "mills out" from the road pavement one vehicle with studded tyres having travelled one kilometre, g/km.

It is possible to calculate by the Eq (8):

On main roads:

1372.7x[10.sup.6]x2 = 2745.40 t/year;

On national roads:

1093.1x[l0.sup.6]x2 = 2186.20 t/year;

On regional roads:

552.7x[10.sup.6]x2 = 1105.40 t/year;

Total: 6037.00 t/year.

A theoretical damage to the public due to particulate matter "milled out" and exhaust into the ambient air would amount to 226.42 mln EUR.

Noise is a disorderly mixture of sound waves of various strength and frequency, unusual to human ear and causing unpleasant sensations. Noise damages hearing, irritates the central nervous system, changes human character and behaviour, induce crudity and aggression of an individual. All over the world road transport is recognised as the main source of noise.

When a studded tyre rolls over the road surface the increased tyre vibration causes noise. A higher traction of studded tyres and road pavement, compared to that of non-studded tyres, increases noise emission by 3-5 dBA (Kropp et al. 2007; Peeters, Blokland 2007).

In Sweden, when the use of studded tyres was reduced by 20% the noise emissions decreased by 1.0-1.5 dBA. In Lithuania, in the last two winter seasons studded tyres were used by about 15% of all passenger cars. Based on the Swedish research data it could be stated that having prohibited the use of studded tyres in Lithuania the general noise level would be decreased by 0.75-1.13 dBA. The specialists have calculated the damage to the human health caused by the equivalent noise level in a day. The cost of noise emissions are given in Fig. 7 (Environmental Impact Assessment of the Reconstruction of the Road A5 Kaunas-Marijampole-Suwalki 22.0-56.5 km section).

The cost of noise emissions shows that with the increased equivalent noise level only by 5 dBA the damage to the human health has been significantly increasing. It is almost impossible to determine the noise-caused damage to the public, since in the different noise diapasons the damage to the human health varies unevenly, besides, people use to live at a different distance from the main transport arteries and no exact data is available on what is a number of residents living close to them.

5. The effect of studded tyres on road pavement marking

Studded tyres intensively damage road pavement surface. The wear of road pavement is considerably larger compared to the use of the other type of tyres. At present horizontal marking of Lithuanian roads is carried out with paint or polymer materials. The service life and warranty of horizontal marking are dependent on the designation of lines and the materials used. Using polymer materials the marking can have a thin layer or a full thickness. When a continuous edge line is marked with paint the service life of marking is two years. When the centre road line is marked with paint and other horizontal marking is carried out the service life is one year. When horizontal marking is made by polymer materials the service life of the marking is twice as long, i.e. when using polymer materials the service life of full-thickness marking is four years, while the service life of the above mentioned thin-layer marking materials--two years. Certainly, the use of polymer materials for horizontal marking generates higher costs. Comparison of the costs is given in Fig. 8.

Studded tyres cause the wear of all types of horizontal marking at pedestrian crossings, of continuous and discontinuous marking lines on the carriageway. In a day time horizontal marking can visually look as of sufficiently good quality, though in a dark period of the day it does not serve the main function, i.e. to reflect light, since a specific density of light in darkness is too low. The main reason--the marking surface is polluted with unreflecting materials. Horizontal marking is mostly damaged by studded tyres when it is polluted with the "milled out" bitumen particles from asphalt pavement in winter and becomes poorly visible in a dark time of the day. When a marking line is passed by studded tyres the studs stick into the line and leave small depressions with the remnants of bitumen particles.

We did not succeed to find any accurate scientific investigations on how much the service life of horizontal marking would be extended if the vehicles used no studded tyres. However, all the road specialists unanimously admit that studded tyres reduce the durability of horizontal marking. A very cautious forecast was assumed in the calculations that with the use of studded tyres the wear of horizontal marking is 10% faster. Correspondingly, it could be apparently stated that in a year due to the use of studded tyres the wear of horizontal marking is faster and the public looses ~10% of funds allocated to the marking. In the last two years 8.69-10.14 mln EUR was allocated each year to the renovation of marking on the roads of national significance. Besides, additional horizontal marking was implemented on the repaired and reconstructed road sections.

Based on the above, it could be stated that due to a faster wear of horizontal marking the public looses 0.871.01 mln EUR every year.

6. Economic evaluation of winter tyres (studded and non-studded)

Having made a comparative cost-benefit analysis, a comparison of studded and non-studded winter tyres and their benefit (additional costs) for the public, it was determined that it is more cost-effective for the road users to use non-studded tyres. A comparative cost-benefit analysis is given in Fig. 9 and Table 2 where positive and negative factors (pluses and minuses) for the use of studded and non-studded winter tyres are described.

In winter almost 15% of the road users in Lithuania use studded tyres on their passenger cars, therefore due to the reduced number of road accidents (reduced number of people killed and injured) the public receives the benefit of 1.81 mln EUR. However, due to the more expensive tyres, increased fuel consumption, damages to horizontal pavement marking, negative impact of particulate matter on human health the public incur considerably higher losses amounting even to 38.43-39.07 mln EUR (Baltrenas et al. 2007; 2008; Lama et al. 2007; Radziszewski 2007; Ziari et al. 2007; Zubeck et al. 2004).

7. Conclusions

Based on the inquiry of tyre sellers it was determined that in Lithuania, in winter season about 15% of passenger cars use winter tyres with studs.

It was identified that additional costs for the drivers (between studded and non-studded winter tyres) will amount to 1.91-2.39 mln EUR/year on average.

Taking into consideration a number of people killed and injured during road accidents on the roads of Lithuania in 2005-2008, it was calculated that due to the use of studded tyres the accident-caused damage is reduced by 1.81 mln EUR/year on average.

When using passenger cars, equipped with studded tyres, the fuel consumption of these cars is increased by 4%, thus, the road users (owners or managers of cars) solely on the roads of national significance incur the additional fuel costs of 1.68 mln EUR/year.

In Lithuania, in a period of winter season about 15% of passenger cars use studded winter tyres which lift particulate matter and negatively affect human health. This damage, solely on the roads of national significance, amounts to 33.96 mln EUR/year.

It was determined that due to the use of studded tyres and faster wear of horizontal marking the public incur 0.87-1.01 mln EUR of additional costs every year.

In winter about 15% of the road users in Lithuania use studded tyres on their passenger cars, therefore due to the reduced number of road accidents (reduced number of people killed and injured) the public receives the benefit of 1.81 mln EUR. However, due to the more expensive tyres, increased fuel consumption, damages to horizontal pavement marking, negative impact of particulate matter on human health the public incur considerably higher losses amounting even to 38.43-39.07 mln EUR.

doi: 10.3846/bjrbe.2010.24

Received 21 October 2009; accepted 03 August 2010

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Alfredas Laurinavicius (1), Dainius Miskinis (2), Rasa Vaiskunaite (3), Algimantas Laurinavicius (4)

(1, 2) Dept of Roads, Vilnius Gediminas Technical University, Sauletekio al. 11, 10223 Vilnius, Lithuania

(3) Dept of Environmental Protection, Vilnius Gediminas Technical University, Sauletekio al. 11, 10223 Vilnius, Lithuania

(4) Dept of Finance, Vilnius University, Sauletekio al. 9, 10223 Vilnius, Lithuania E-mails: (1) alfredas.laurinavicius@vgtu.lt; (2) dainius.miskinis@vgtu.lt; (3) rasa.vaiskunaite@vgtu.lt; (4) algislaur@gmail.com
Table 1. The AADT of all the classes of vehicles in the different
group of roads (Accumulation and renewal of traffic data of the roads
of national significance, 2008)

                                         AADT, vpd

                                         Passenger
Road group        Total    Motorcycle     car (PC)    Minibus    Bus

Main roads        8 100        11          5 989        288       66
National roads    2 092         0          1 663         80       19
Regional roads     375          2           297          17       4
All roads         1 414         2          1 087         54       13

                                    AADT, vpd

                   Light    Medium    Medium
Road group         truck    truck1    truck2    3-axle    4-axle

Main roads          369       90        198       77        131
National roads      102       28        51        21        19
Regional roads      17         9         9         6         4
All roads           66        20        34        15        18

                                    AADT, vpd

                                          Light
                                       (motorcycle,
                                       PC, minibus,
Road group        5-axle    Tractor    light truck)   Heavy

Main roads          864        17         6 657       1 443
National roads      95         14         1 846        246
Regional roads       7         3           333          42
All roads           98         7          1 209        205

Table 2. Economic evaluation of winter tyres (studded and non-studded)

                                  Factors

Evaluation criteria       Negative          Positive

Difference in the         Negative             --
price of studded and    -(1.91-2.39)
non-studded tyres          mln EUR

Damage due to road          --              Positive
accidents                                + 1.81 mln EUR

Effect of tyres on        Negative             --
fuel costs              -1.68 mln EUR

Effect of studded         Negative             --
tyres on the             -33.96 mln
initiation of             EUR/year
particulate matter

Damage due to               Large             Small
tyre-generated noise

Effect of tyres on        Negative             -z
pavement marking        -(0.87-1,01)
                           mln EUR

TOTAL                  -(38.43-39.07)        + 1.81
                        mln EUR/year      mln EUR/year

Evaluation criteria    Notes

Difference in the      The difference between one studded and
price of studded and   non-studded winter tyre is 11.58-14.48 EUR;
non-studded tyres      for 4 tyres 46.34-57.92 EUR. Additional costs
                       for the drivers (between studded and
                       non-studded winter tyres) will amount to
                       1.91-2.39 mln EUR/year on the average.

Damage due to road     Due to the use of studded tyres in Lithuania
accidents              the damage caused by road accidents is reduced
                       by 1.81 mln EUR/year on the average.

Effect of tyres on     The use of passenger cars equipped with
fuel costs             studded tyres increases fuel consumption by
                       4%, therefore the road users (the owners and
                       managers of passenger cars), solely on the
                       roads of national significance, incur 1.68 mln
                       EUR of additional fuel costs per year.

Effect of studded      Passenger cars with studded tyres lift
tyres on the           particulate matter which negatively affects
initiation of          human health. During the whole winter season
particulate matter     15% of passenger cars use studded winter tyres
                       which lift particulate matter and negatively
                       affect human health. This damage, solely on
                       the roads of national significance, amounts to
                       33.96 mln EUR/year.

Damage due to          It is possible to calculate damage caused by
tyre-generated noise   studded tyres for the public only for a
                       certain road (street) section but even in this
                       case the special investigations are necessary.

Effect of tyres on     Due to the wear of horizontal marking the
pavement marking       public looses 0.87-1.01 mln EUR of additional
                       costs every year.

TOTAL                  When using studded winter tyres the public
                       incurs more damage than benefit.

Fig. 1. Determination of accident-caused theoretical damage
when using passenger cars with non-studded and studded
tyres (Accumulation and renewal of traffic data of the roads of
national significance, 2008)

          Studded tyres   Non-studded tyres

Injured       144.11           150.11
Killed        164.76           171.63

Note: Table made from bar graph.

Fig. 2. Evaluation of the fuel costs of passenger cars using
non-studded and studded tyres (Accumulation and renewal of traffic
data of the roads of national significance, 2008)

The fuel costs of passenger cars,
EUR/1000 veh-km

The pavement roughness, m/km

    Non-studded   Studded
       tyres       tyres

1      84.95        88.33
2      87.78        91.29
3      93.56        97.31
4      99.24       103.22
5     105.02       109.22
6     110.90       115.33
7     117.18       121.87
8     123.57       128.50
9     129.95       135.14

Note: Table made from line graph.

Fig. 3. The AADT of passenger cars in the different group of
roads (Accumulation and renewal of traffic data of the roads of
national significance, 2008)

Main roads       5 989
National roads   1 663
Regional roads     297
All roads        1 087

Note: Table made from pie chart.

Fig. 4. The calculated annual mileage in the different group of
roads depending on traffic volume and length of road sections

                         2006   2007   2008

Main roads               4302    518   5186
Main roads A1-A2         1913   2389   2275
Main roads A1-A18        2389   2796   2911
National roads           3128   3623   3841
Main and national rods   7430   8808   9027

Note: Table made from bar graph.

Fig. 5. The calculated annual mileage in the different group of
roads depending on the season of the year

The annual mileage of passenger
cars, [10.sup.6] veh-km/year

The different group of roads

                 All year                With studded
                  round     In winter   tyres in winter

Main roads        3834.40    1372.70        205.90
National roads    3053.3     1093.10        164.00
Regional roads    1543.90     552.70         82.90

Note: Table made from bar graph.

Fig. 6. The cost (EUR) of air pollutants within the urban
territory (Accumulation and renewal of traffic data of the roads
of national significance, 2008)

The title of the air pollutants

The cost of the air pollutants, EUR/year

S[O.sub.2]        2110.75
V[O.sub.C]         587.06
N[O.sub.x]        3047.67
[KD.sub.2.5]   187 501.74

Note: Table made from bar graph.

Fig. 7. The cost (EUR) of noise emissions per year
(Accumulation and renewal of traffic data of the roads of
national significance, 2008)

The cost of noise emissions,
EUR/year

The equivalent noise level in a day, dBA

50     9.35
55    28.12
60    49.21
65    69.16
70   114.83
75   147.65

Note: Table made from line graph.

Fig. 8. Preliminary cost of horizontal marking (Accumulation
and renewal of traffic data of the roads of national significance,
2008)

The different group of marking

Preliminary cost of horizontal marking, EUR/[m.sup.2]

Marking by polymer materials (thin-thickness)   15.93
Marking by polymer materials (full-thickness)   22.88
Marking by paint                                 6.37

Note: Table made from bar graph.

Fig. 9. Economic evaluation of winter tyres (studded and
non-studded) (A--additional costs for the drivers due to studded
tyres; B--additional costs for the drivers due to non-studded
tyres; C--damage due to road accidents; D--effect of tyres on fuel
costs; E--effect of studded tyres on the initiation of particulate
matter; F--damage due to tyre-generated noise; G--effect of tyres
on pavement marking; H--total damage)

The positive and negative factors
of the winter tyres, mln EUR

Evaluation criteria

A    -1.91
B    -2.39
C    +1.81
D    -1.69
E   -33.97
F    -1.01
G   -39.07
H    +1.81

Note: Table made from bar graph.
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