Article citation info:102018-01-26T23:03:00Z2018-01-26T23:03:00Z1422325339211592950315Article citation information:Żochowska, R., Soczówka, P. Method for identifying hazardous road locations at the intersection of tramlines and road traffic. Scientific Journal of Silesian University of Technology. Series Transport. 2017, 97, 201-213. ISSN: 0209-3324. DOI: https://doi.org/10.20858/sjsutst.2017.97.18.Renata ŻOCHOWSKA Faculty of Transport, Silesian University of Technology, Krasińskiego 8 Street, 40-019 Katowice, Poland. E-mail: renata.zochowska@polsl.pl. , Piotr SOCZÓWKA Faculty of Transport, Silesian University of Technology, Krasińskiego 8 Street, 40-019 Katowice, Poland. E-mail: piotr.soczowka@polsl.pl.METHOD FOR IDENTIFYING HAZARDOUS ROAD LOCATIONS AT THE INTERSECTION OF TRAMLINES AND ROAD TRAFFICSummary. Passenger transport safety is an important issue. This paper presents a method for the identification of locations at the intersection of tramlines and road traffic, which are characterized by a high level of risk. Furthermore, different aspects of risk have been determined in order to analyse the problem in a complex way. For each aspect of risk, a measure was developed to estimate the level of risk. The application of the proposed method has been presented on the basis of an analysis of documentation of traffic incidents on the tram network. Accordingly, hazardous road locations have been identified. Keywords: traffic engineering; traffic safety; hazardous road location1. INTRODUCTIONThe level of road traffic safety in Polish cities is still not satisfactory. The level of risk may be characterized in many different ways (e.g., [4,5,12]). The numbers of traffic accidents and the numbers of casualties are most commonly used. Although both these measures are decreasing [16], they are still too high in Poland in comparison to other European countries. The value of the traffic fatalities index per 100,000 inhabitants is more than two times higher in Poland than in Great Britain and significantly higher than in Germany or France [8]. That means that the risk of being involved in a traffic accident In this paper, the term “accident” is used to refer to a traffic incident that resulted in casualties, whereas, for those incidents without any fatalities or injured people, the term “collision” is used. in Poland is too high and should be reduced. In the literature associated with traffic safety, there are many different approaches to defining a location that is especially dangerous for users of the transport system. For example, in [14], a hazardous road location is defined as a “location on the road network in which there is a significant concentration of all - or only particular, types of traffic accidents or effects of these accidents”. However, in [9] and [11], a hazardous road location (also called an “accident prone location” or a “crash hotspot”) is any location in which there is a higher than expected number of traffic incidents than in other similar locations, as a result of local risk factors. The claim that the number of traffic incidents in hazardous road locations is connected with local risk factors seems to be of great significance. Therefore, those incidents that have occurred due to inappropriate features of the location should be of critical importance in the process of identifying accident-prone locations than those incidents caused by reckless or inappropriate ways of driving. Based on that assumption, one may surmise that the environmental features of a location, resulting from insufficient visibility or non-typical design, should play a key role in modelling road traffic safety. On account of this hypothesis, by using engineering methods, one can influence the number of traffic incidents in analysed locations [9]. In addition, in [14], a claim is made that the influence of the environment of locations is often ignored. Most road traffic incidents occur because of human (i.e., drivers or pedestrians) error, but defects of the location have a big influence on the possibility of such mistakes being made. Many methods have been developed in order to identify hazardous road locations. In [9] and [18], the most common hotspot identification methods are described. Usually, these methods are associated with the frequency of occurrence of road traffic accidents or with different safety measures. The analysis of the frequency of occurrence is also mentioned in [7] and [11] as one of the easiest methods of determining the risk in particular locations. Other, albeit simpler methods, may be associated with the total number of accidents or the costs of property damage [9].In [14], different approaches for determining the limit values of safety measures have been described. Those approaches include:Determining the limit value arbitrarily Accepting a value that is significantly higher than the average value Accepting a value of a chosen high quantile Most methods are developed for road traffic, whereas the safety of tram traffic is often overlooked. This is very alarming because the safety of any operation in a passenger transport system should be the primary standard of its functioning [2]. Traffic incidents involving trams should be treated with great attention, due to the specificity of tram traffic. First of all, a tram is a means of public transport that usually carries more than 50 passengers, all of whom are exposed to danger. Moreover, an incident on the tram network usually affects vehicles that do not take part in the incident itself. One of the most important demands that is addressed in the context of public transport is the certainty of arriving at the destination [13] - an incident on the tram network may make that demand impossible to fulfil. It is also of great importance to perform an analysis of traffic safety in a complex way, as only such an analysis can lead to a significant improvement in the level of safety [3]. Taking the above into consideration, the main purpose of this paper is to develop a method of identification of hazardous road locations at the intersection of road traffic and tramlines, which considers different aspects of risk.2. DESCRIPTION OF THE PROPOSED METHODIn different papers, there are various definitions of a hazardous road location. Furthermore, some authors almost treat the terms “hazardous road location” and “blackspot” as synonyms [6,9], whereas others distinguish them [14]. Therefore, there is a need to formulate a definition of a hazardous road location, which can be used in further analysis. An assumption was made that a hazardous road location at the intersection of tramlines and road traffic should be particularly da ngerous, and that different aspects of risk should be taken into consideration. The three most important aspects of risk that were chosen are shown in Fig. 1. H4sIAAAAAAACC+x6eTyU6/v/kIo2jD2yT4QIZQ9pZMkSypKtrMk6TQwnSwtlX0/Z6ahjK2QLEcUw
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gb/7Kuu/+pxPKAvH/uyzaj/3jMdew/4e/+9XZ9noJ0azqamXfJvxqb30bhvPx/n2/5o4923vx+fL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. 1. Aspects of risk included in the proposed method; source: own research Based on those factors, a definition of a hazardous road location was formulated. According to this definition, a hazardous road location is a location on a transport network in which limit values of measures connected with severity, homogeneity and the number of traffic incidents are exceeded. Therefore, there is a need to develop a complex method for identifying hazardous road locations at the intersection of tramlines and road traffic, which will include all identified aspects of risk [1,17]. 2.1. Characteristics of the chosen risk factors The severity of incidents is usually represented by the number of casualties (people injured or killed as a result of an accident). There are about 3,000 people killed and about 40,000 injured in accidents on Polish roads every year [10]. As Polish law states, a person killed in an accident is a person who died at the scene of an accident or within 30 days of the accident in a hospital [10]. Despite being a tragedy for the family and source of great pain for them, the death of a person in an accident also causes financial loss, on account of all the administrative and medical costs involved, such as the arrival of emergency services or any court proceedings [10]. The cost of one fatality is therefore assessed at about PLN 2 million (PLN 2,052,518in 2015) [10]. If a person was seriously injured, the cost may be even higher (about PLN 2,323,299in 2015) [10]. Taking all the relevant factors into consideration, the severity of traffic incidents is one aspect that must not be ignored. The second aspect of risk is the homogeneity of traffic incidents. This is defined as the occurrence of the same types of incidents. If incidents of the same type happen regularly in a particular location, then this location should be considered as being more hazardous than locations with the same number of incidents, but of different types. Such an assumption was made because the repetitiveness of the same types of collisions or accidents may indicate a serious problem with infrastructure, traffic organization or other local faults. If incidents that occur in a particular location are of different types, then one may assume that those incidents occurred randomly and are mostly connected to individual mistakes by road users. The final aspect of risk is associated with the total number of traffic incidents in an analysed location. Every collision or accident between a tram and another vehicle should be a source of concern, as a large number of incidents in one location, even if they are not of the same type and without any casualties, is still an evidence of high risk in that location. 2.2. Criteria used in the proposed method (1)To describe the proposed method, a set of numbers of potential hazardous road locations has been determined as:iVBORw0KGgoAAAANSUhEUgAAAHIAAAATCAIAAADDF87VAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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where: i - the number of each potential hazardous road location at the intersection of tramlines and road traffic; and QUOTE iVBORw0KGgoAAAANSUhEUgAAAAcAAAATCAIAAADTd4AJAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAIFJREFUKFNj/P//PwMGYMIUAopgF2UAmvD/9gQrVC2M+My9M9GaEQysJ94B
aQOZADfFasJtMAcuui2NgSFtG1QJzA3bN8xisNJShVoKFb1z6wqDVZi3Corona2rjjHoqMEEobah
GAqzDV3wP8hcsE2onkP4Fu6u///x+hgtPEkJXwCRdW07JvBVIgAAAABJRU5ErkJggk==
- a total number of all potential locations. (2)In order to take the aspect of time into consideration, a set containing numbers of individual study years has been determined as: iVBORw0KGgoAAAANSUhEUgAAAHoAAAATCAIAAADQwI4hAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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where: t - the number of each year of analysis; and QUOTE iVBORw0KGgoAAAANSUhEUgAAAAoAAAATCAIAAAAmiQu5AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAKhJREFUKFNj/P//PwNuwIRHDihFQJoBaPj//9vSMA2xmnD7/39G/HYDdWPT
CjIMpJ2J4c6tK2DW//+3J1gxMKRtA9kGYuqoqQCddvsaw4SF+SpA5bevHWNIC/AE6VRR07HSUgUy
wE6Duw9iDAIgPAa2JMwbZAwSgKkE2Yau9z/QaRBwZ+uqY2DHoAEkiyGOxmL3ne0bZjEAfYUJUIIU
Qz+BQKUsQgnoBgBVg5yvU9qTmQAAAABJRU5ErkJggk==
- the total number of years of analysis.An important issue, which has to be taken into consideration, is the minimal study period. As collisions and accidents between trams and other vehicles are rare, in comparison to those involving only road vehicles, a minimal study period was determined to be three years. Such a period should allow for the avoidance of randomness in the occurrence of incidents. (3)Moreover, analysed incidents may be divided into categories. A set of the numbers of possible categories of incidents has been determined as: iVBORw0KGgoAAAANSUhEUgAAAHsAAAATCAIAAAA/AuUfAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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where: k - the number of category of incident; and QUOTE iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAIAAAArl3v+AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAJdJREFUKFOtktEVwBAMRelYGSjzmCbLGEaTSIL29PBRf+W676G5tZZ249oB
sn4EJY7TQfjpxHzSyUy1QBdBqasXiU/mcYohKaLpkABL/146yS4elQr6uk44JL2FqYQ4fKZ9duJa
5vMeYZJCWlkv4kV1k4dxXO8/adw0GNtgF+GomISZpiM7dCmu0UPsfWA649GzHP0F/0E3KQgUGm6O
DkYAAAAASUVORK5CYIJ=
- the total number of categories of incidents adopted in the analysis.An assumption was made that, in the proposed method for the identification of hazardous road locations at the intersection of tramlines and road traffic, three criteria would be used: one for each previously mentioned aspect of risk. For each criterion, a measure was worked out in order to express the level of risk in the analysed location in terms of numerical values. A limit value for each criterion was also established.2.2.1. Criterion of the severity of incidents - K1In order to use the criterion of the severity of incidents, a measure was proposed, which describes the level of risk associated with the analysed aspect in terms of numerical values. The numerical value for criterion K1 in i location, i.e., QUOTE iVBORw0KGgoAAAANSUhEUgAAABkAAAATCAIAAADqEDFSAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAARZJREFUOE/NlLEVgjAQhi/OolZOECYAGytbuzCBe0CbEaxsTDZwAp+FyS7x
LiEQEfUpFF7Du+Ty5fjvB+acg4liNhGHMH/OsnXGfGS1pXZ1GVLGSt2pYOsyS/O+Pqi9D1NxAKFM
kyrBgYuqzQ0tUAgVTzw9Ia4o0dYZVYkEQ/eEPKkZAkZWLMP7Rddd78QHVjNHe7sAyIKxRSFhk89/
ckpg2dPhzCvUim6Wx0Tub6CBZa5nWC2xm3yPI/gZRpI86ECJ7/E5BvVCAzTlpH3vNLljGPZpjt5X
qXPoAAZPp4mm4LGM9tB5oXFfHC3X+uulA99vdG/o3Nhv21xhu24sNJKlj3K1BK29i0aykCCL3W2R
E4tN+F+9A6BlzuEIMxrYAAAAAElFTkSuQmCC
, is calculated using the following formula: iVBORw0KGgoAAAANSUhEUgAAAQcAAAA4CAIAAAB/kqo8AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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(4)where: QUOTE iVBORw0KGgoAAAANSUhEUgAAACkAAAAUCAIAAACf5oPSAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAWNJREFUSEvVVsFxwyAQRKkl/rgEXIL/KQF/00c+qAR/XQDuICXkg3ohdyfg
AAOWxvZozMcCA7u3uyANzjmxUfvYCBdh3wd7Gk+Hgdrp+rhgvu5pTPeMvcM4MQSM7i77s3NWS7nf
PY4tIGvUYEMhtfU9o4SQyoQujuKQMmH6M34jNoH7vbGwAsYSm8jtGdCOsUPlFWDE5ZazAlJy/g/o
aqVW0EuwZ1lLqRMTbhVHreKC1cqk2HMFVU/zNATFc7TEtGWWRGwABjsbgWpDM9PV0N5v9ngJSvtk
pGbjnn3zoW4slmfVwOtqkNlUtzUaUkYdq7tpA3VZKYEb8OkJqc0YN0Nk/GK8CMiuLHdlcoirb0Qg
y3k9InUb7sSpqngxePddMl1/vn/l1/Fz3R1q/8TtmnKwy79z4Pt1w0IwwhiQlh5ptn+y2t/VCzRf
dljzWTNpinmCTYZz2F6EzUyMar6Ahg2/mf4B3EdoFB17+WQAAAAASUVORK5CYIJ=
- the number of incidents involving fatalities in i location in t year of analysis; and QUOTE iVBORw0KGgoAAAANSUhEUgAAACUAAAAUCAIAAACF2mNcAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAVxJREFUSEvlVrt1wzAMpDKL4yLPE1AT2OnTppOHSUO3miIVuUmK0LsoB/4E
Qkr0bOupCRuJJIDDHSA8NcMwqA3X04ZYBPVP8K6Xtgnr7EC67NrLNertzunqYfnRL2F5o5U2Pu1s
p5TubN7Wl9nlnqcqThSzsxkbYPeEW/QZ8TJD4FZgRBVkE3VvOo0tZeNteGWqLKLh2+M2ITSTkYkb
6VpDGsNMGyyS+1alOV7MdyIkE7pUulhRirdIX/AABs3m3AOd3DmCkcxlUdGIN9Zsqo+AIzULoxnq
PLUZdOARqdFKAsaQHkaphFzA5IkmYgJIFCg3Kq4QjrfftOdSE5X+rD9T8k7hgqGoJWWbV7iq+nNR
/b8NqCoTnuJwzXntv9Tb605MPHG4Ip777A975RxN4DBxaRaHwx0msouTeEU8ROtP79/Px4rhi+5P
TfuxPybiD9bsN/fczvK+2fh/4gfIQiQj9z89KQAAAABJRU5ErkJggk==
- the number of incidents with only injured casualties in i location in t year of analysis.The criterion of severity is used in order to identify those locations at the intersection of tramlines and road traffic, in which the risk that there will be casualties as a result of an accident is especially high. Taking into consideration the fact that a tram is a means of public transport, which is often used by a considerable number of passengers, a reduction in the number of incidents involving trams, which may result in injuries, should be of very high priority. (5)However, such incidents are relatively rare; therefore, the limit value for the criterion of severity was assumed arbitrarily. This criterion shall be treated as fulfilled if at least one incident results in casualties in the analysed location; thus, the limit value QUOTE iVBORw0KGgoAAAANSUhEUgAAAB8AAAATCAIAAADnDkEVAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAVRJREFUOE/dlTF2gzAMhuWehWTo6wnMCciUKUcwY6dsPQSM4QidstTcICfI
y4B9F1eSwTgJeXGbsEQLyIjPsvQLhHMOZrO32cgEfgG6rXPBlteWjtSW3hWibMfa2brMY/9+VbGr
bKaSAEqb3tVKglRV8A0tkCk9vJFwhSFGq/Cm0ZWKwLSz96OYBDSpMeTq4ZijGk9wwfgzvdeM7Y4A
zUqIxaqBdZHdr2hShKfbn++DrLDmlF2zjxqZBLkZ5OnmdICPJWZcbLG5T8RTac/qSQ6f49om6k5L
t8J9Vy94pM1p/GRXUarTuZBmWOexkjkbzCdWDkpSDmH0DCchGgw/An4iWHeE5C2D3tMEfBWFpB5u
NPKJbviO6Q9+xVBs8L6gs2ZZAd1RooN3Zg9fnyiSB+nmBJsltC1rGJWHwsOPUdltdwXX958ViUY8
SMDrZ2yJc2LWf9Mv/o2W6CrD2wsAAAAASUVORK5CYIJ=
of criterion K1 may be assumed as QUOTE iVBORw0KGgoAAAANSUhEUgAAAEAAAAATCAIAAACvEZzQAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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The decision about whether the criterion of the severity of incidents is fulfilled should be taken on the basis of the following formula:iVBORw0KGgoAAAANSUhEUgAAAJMAAAATCAIAAAAbN6iaAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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2.2.2. Criterion of the homogeneity of incidents - K2For the purpose of modelling safety at the intersection of tramlines and road traffic, five categories of incidents were identified. The following categories have been distinguished:k = 1: a minor collision between two vehicles, which were parallel to each other at the moment of the incident, in which one of the vehicles was not taking part in traffick = 2: a minor collision between two vehicles, which were parallel to each other at the moment of the incident, in which both vehicles were taking part in traffick = 3: side collisionk = 4: front collision k = 5: rear collisionCategories 1 and 2 were introduced due to the specificity of tram traffic - its characteristic feature being that trams and road vehicles often run parallel to each other. Incidents covered in these categories have resulted in minor paint damage, usually as a result of contact between mirrors or a mirror and the car body. As the proposed method does not include incidents with pedestrians, no category including such incidents was distinguished. (6)In order to use the criterion of the homogeneity of incidents, it is necessary to calculate the numerical value of criterion K2 in i location for k category of the accident, i.e. QUOTE iVBORw0KGgoAAAANSUhEUgAAACMAAAAUCAIAAACIxBMbAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAUtJREFUSEvdlcEVgjAMhltngSXKBOrdq7dy1AEcAq7uYdnACTxZdsEkTVvw
QR/IexzsRap/8yV/QpVd14lN1m4TCkL+mNTWhaRV1C2W2pRuK2XZ4L5t6pIVsiidZumCiaBlKyWE
Npa3RiuhdEV7/Em5R9aB0J+b/Sm80mgEuWCm0gwZi4NKVfmUFpM8yBqtY2VjYbj42QQv5JroOK+0
M73al8EcyXUCDME4iSaATv1gHDEcKSaa8AYxaWOTRRJp4MhEw2EYAwaY3mIyIVEmpuemB0lfsYOV
McWoZ697seH0rJkXcRZYT1lCntGo/rjw1EQS18eaIXPQ9fA+LRukoOZqJ17BvhdrSezAhIHQ3PCK
ryQBCGL5zlq6sWLj6MkaQ1fPun+N9v1Sp2OWXW76ec2LR559X7v3w/md7+nbH/szfQyus9HrV+Kk
b7I+ePalHGoUSgoAAAAASUVORK5CYIJ=
. This value is calculated on the basis of the following formula: iVBORw0KGgoAAAANSUhEUgAAAO8AAAA4CAIAAACaKTh5AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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where: QUOTE iVBORw0KGgoAAAANSUhEUgAAACEAAAAUCAIAAACMMcMmAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAARtJREFUSEvtlcEVwiAMhsFZfJ6coJ3ABRwhncApvDAN3cARemEYTAJBEOqr
r9aDz16AlOZPviSv2nuvNn52G/sn93+N5ZB/idU49FrrfhhD+uOAJ63luJzJ7E1vDVjvTKcUruGx
oDrj4mH9oqILEhG/uE9y6xW8l5rvD0d1mxyzuk7ny+kDiJKLFCgCIlrOQIaJjLPcMN9FSIWV55J0
ALlCrM1b4CxUoB8aVOk65Fgb7omsK7gvijPFE28xoyywPA+oA444HDYfGFu0WpNU0xg00EcbLUdb
BxwgNorRNCqGgAib4xAGRfra8SW0Ub68OGtlK4NF71yZclaPehRS5nl7PTSkfNFC+hJx4eulRmsA
bVW12vL0nf7Cv/YOGL1Ur7gLQRUAAAAASUVORK5CYIJ=
- the number of incidents assigned to the k category in i location in t year of analysis.The criterion of the homogeneity of incidents is used to identify those locations in which the structure of accidents is homogeneous. The homogeneity of incidents is defined as the regular occurrence of incidents assigned to the same category. Therefore, the limit value of this criterion should be appropriate in eliminating incidents that happen due to random causes, and not because of local risk factors, which influence the behaviour of drivers [19]. In the proposed method, it was assumed that the limit value should be calculated using the total number of years of analysis: QUOTE iVBORw0KGgoAAAANSUhEUgAAAD4AAAATCAIAAABHkSn7AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAZZJREFUSEvtljtyhDAMhkXOsmk4gjnBTvocwS6TJl3K7baBMum2pUqzcINc
At+F2Jb8IDEM48HMMBM1u8ay/Vn6JSjGcYRj2sMxsTX1P3rG3PWi+GNVIwGKw2tdNhVezdwHwF9V
9Hos+0aQR1EJ9NnDYiF3mCrqxoaaAfBuoGHHGTBem7GeYviX/JSjXZf1F0+2DHSqfqjPB3t0xzU5
0nU1J+oYmPbE/bKbCiAdFOCN9NSi26mh49zHPsZG6UnANivnbDkYsXARerjrshjC6yfgpy3xwgnW
I7qb0mALQlZ+bCethHeMkpPWfSgX5KC5p1rCXK0u2VTBzDCZqE9EMFOFqjYct9rLVjRVe5oOVq6a
0aj+EOi/PoGVj1RA57eafbf3SetWbf9S3j7OJ+Mj7y049+zdXRq82DE+ixRII3fV/rw2Iom2grc9
Fl8LpB7cYZuaIJqYLl1fX5m8X24OHWVHuEPt+nHatqtWbfjlqJQGRmj9tS1vLyiujLYhOpyenuH1
KsQF3vODq5isys2MUyhwdNnzhfUD2EZZ4m0pongAAAAASUVORK5CYIJ=
. (7)Therefore, the criterion of the homogeneity of incidents shall be considered as fulfilled on the basis of the following formula:iVBORw0KGgoAAAANSUhEUgAAANUAAAAUCAIAAACVlu/FAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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2.2.3. Criterion of the number of incidents - K3 (8)The final criterion is calculated on the basis of the total number of incidents in a particular location during the study period. To calculate the numerical value of criterion K3 in i location, i.e., QUOTE iVBORw0KGgoAAAANSUhEUgAAABkAAAATCAIAAADqEDFSAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAARBJREFUOE/NlDEWwiAMhsGzqJMngBOou6sbvU679hROcBMH6V0wCYGWSn2+
1w5maYE/X8IPrQwhiI1itxEHMX/OGjotKXQ3YLuuiUMpG4fjwTWaFVLrjuY+A7yn8K0SwljPQ2uU
UKalMS6p+Mo6EKa8yVOkd2sQFeW2NYypZHDRL6yE8taYsbt5godlpZbWuS8qxlHtP2AxCth5MmJW
KrKiIyChjDqMbSUFaT8iskazlt3IqSiuwog18T0O6nXzERcCqM5yZM2y84ZTJ8UENb6wx9F1tolN
np4WXhKVDqfwvvA336+Kl79MjTsMYe237Z/idt3H27KS5R796Sicow90JQsI/eX+OpyRJcGUrX6H
b0b6ar6owIPlAAAAAElFTkSuQmCC
, the following formula is proposed: iVBORw0KGgoAAAANSUhEUgAAALUAAAA4CAIAAAA0Hy74AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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where: QUOTE iVBORw0KGgoAAAANSUhEUgAAAB8AAAAUCAIAAAD6C3GtAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAARZJREFUSEvtlcENwjAMRRNmQZyYoJ2ABRghnYApuGQadwNG6CXDBNuxQ9qk
IFT1gEQvaUzz+/2+K2yM0ex2HXZTJuG/+hreXyczDr21th/G1OA44M5a3W4aqgjeQQy+MwbXdIEz
nQ+y2bIYOUzyqoj3+UVbtGPUVI+ns3lMgcncp+vtsglIPpzNIQ5iE7wroFBxlRL2+AGgkomMvnOu
1JYMvsIErsD6Uqcsa5uSAade5M7Jz/bkRJ5iLmyp9O5qk9J8wMFyHmZj1OSyKCZ1PN1GyA5rkwlZ
A/qiaLhlRNUc7zT4Oq2BH8Ia9chLANBb/VDot6BtFtzr0c59lqPzUteYpEJvVq+i9Va99SlBlU5d
yefsrv98T9mmGOvDSlW7AAAAAElFTkSuQmCC
- the number of incidents assigned to the k category in i location in t year of analysis. The criterion of the number of incidents is used to identify those locations that stand out from other locations because of the total number of incidents. Therefore, there should be a significant difference between locations that satisfy the proposed criterion and those that do not. The limit value should be calculated using the quantile QUOTE iVBORw0KGgoAAAANSUhEUgAAABgAAAATCAIAAAAF0lpsAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAASVJREFUOE/NU8uxwjAMVKiFcGBSgVMB70QVohEKMEda4I6pACrIvANOL0GS
hbEZQ8IMBzSTg3+r3dWmGoYBvlGzb4Awxm8D9afdpq1Cte3u9JlqMlvKWwNg0PlkZcNiUkG45ZDa
o0ue8E62MQInQMLm6RUDmQ8o8dT64+ECuF6lnvTXDqBZzKf7VOZT4vheGzHy/xcwyzrjU+A4xi0w
ytwIA7z745BWXDTSZDK6F11ks3VkMmvvNAYqhM4U0lvUgTgsjJPNXu29w+6v5iDW20Pj/HmfON+E
5vMFmO7av1SYWFh0WBiKMi5RIgrC3iMfGsgk3RJub61mPDbiNrkkFhuhMiBuJv0NPkVRrNNHdCec
vgMqZUX/wggdxT5+TXpW0TeWkEnnN8z7WBMyEq5/AAAAAElFTkSuQmCC
of the number of incidents, which is expressed as: QUOTE iVBORw0KGgoAAAANSUhEUgAAAEsAAAATCAIAAABX8WcnAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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. (9)Therefore, the criterion of the number of incidents is considered as fulfilled when the numerical value of measure QUOTE is equal to or exceeds the numerical value of limit value QUOTE iVBORw0KGgoAAAANSUhEUgAAAB8AAAATCAIAAADnDkEVAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
xAAADsQBlSsOGwAAAUhJREFUOE/dlD1WwzAMx2XOUpYewT4Br3uPYI+wsDF265KsbKydWHBuwCWc
uwR9uXH7gmv62gUtrWz5Z+kvOWaaJribPdyNTOB/QB97Z9hcP1JJQxDXmDCQPw7BaYRxrue1FsOu
sqXOAviY1I3egvUd+7Rl5a/GYWA+V/2FvBs9wQUQO6/ghbOaxp/oGZ6i93MF54iE29b+vn8er7lz
QmrLVdP1bKhXlu9i/kIXZfEQM2qiYvJ0Q+MFQp9Fb1CVggUvFVeSYXrRUXGquZUBxK/Q6a0On+9g
14+q69NrZ78PXzz2YvQY9B2Qs8Po7WbVMu4w91Nz0PaVk0EjanPbT7p6zD1jCCIEqv847xf7vxhQ
KoNQVTRhMtyYG37FUFJgRYf9Yf3xTNLdkA6rzRZe9iHs4I3ZaNcpIqdKsWXlZPqmyeBSU/evCvoB
aGMa5luYoFwAAAAASUVORK5CYIJ=
, as in the following formula:iVBORw0KGgoAAAANSUhEUgAAAIUAAAATCAIAAAAxh1k1AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO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2.4. Groups of traffic safety In order to rank locations in terms of traffic risk and to determine which locations should be the object of further detailed analysis, once all the measures are calculated, each location should be assigned to one of five groups of traffic safety. The assignment to one of five groups is made according to criteria that are fulfilled in the analysed location. Criteria that are assumed to be fulfilled for each group are presented in Table 1. Tab. 1Groups of traffic safetyGroupFulfilled criteriaIK1 and K2 and K3II(K1 and K2) or (K1 and K3)IIIK2 and K3IVK1 or K2 or K3V-According to Table 1, if, in the analysed location, all criteria are fulfilled, then such a location is considered to be most hazardous. Locations assigned to Group I should be analysed in the first place. If two out of three criteria are fulfilled, then such a location may be assigned to Group II or III. As it is assumed that death and injury as a result of an accident are the most dangerous effects of a traffic incident, if one of the two fulfilled criteria is the criterion of severity, then such a location should be assigned to Group II. Locations assigned to Group I, II or III should be chosen for further analysis. 2.5. Procedure for identifying hazardous road locations according to the proposed method The procedure is shown in Fig. 2. In order to use the proposed method, it is necessary to collect data about all traffic incidents at the intersection of tramlines and road traffic in the study area in the given period of analysis. The study period should not be shorter than three years. The collected data should include information about the following:Location of an incident (as precisely as possible) Date of an incident Time of an incident Types of vehicles involved Number of casualties (fatalities and injured) Damages to vehicles Causes of an incident ResponsibilityCircumstances of an incident H4sIAAAAAAACC+xdCVyN2ft/2zfLTYstSQxJ1hi06EZZk6SrKFHWrFFJaLNNGGrIEhOZseRGWUtR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rlPp62P9blPlqBBl6yl4fS+fBE+sF1tQOwHzBlw/nuRz8hG+HP9Jnvip6scpR//nrKSHsmnOQzOU
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xKcBfNrDcRxlQ9mC5kRNgTIDsBsHMhnEGcSWKz3h6ADSDQR1DxAHru4GR6yDZWNBsI4hV76DI/rS
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67+6Hgl/9L2t63/I8digZVvvPTnnYKTXTy0yvzLzt9zK64N3elX+XnP0Mnu/sU1PxdV6pfolo4Y8
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Fig. 2. Scheme for the procedure of the proposed method; source: own researchEach incident has to be assigned to one of five categories. Subsequently, all locations of an incident should be identified. To each identified location, the following information should be assigned: Number of incidents for each category Number of casualties (fatalities and injured)Total number of incident The next step is the calculation of the numerical values of measures QUOTE , QUOTE , QUOTE , according to Formulas (4), (6) and (8). Then, these values are compared with the limit values, using Formulas (5), (7) and (9), in order to check if the analysed criterion is fulfilled. On the basis of fulfilled criteria, all locations are assigned to one of five traffic safety groups. Locations assigned to Groups I, II and III should be subjected to further analysis. 3. ANALYSIS OF DATA FROM TRAMWAJE ŚLĄSKIE S.A. To present the application of the proposed method, an analysis of the documentation of traffic incidents involving trams, which belong to Tramwaje Śląskie, was conducted. The documentation included information about incidents only with vehicles from Katowice-Zawodzie Tram Depot. Incidents from 2014, 2015 and 2016 have been analysed. Katowice-Zawodzie Tram Depot is one of four depots currently in operation on the Tramwaje Śląskie S.A. tram network, which consists of [15]: 96.2 km of overhead cables 102.3 km of tram lines 10 traction stationsCurrently, almost 100 vehicles are in operation in the analysed depot. They run on 13 tram lines in the cities of the Silesian Agglomeration [15]. 3.1. Analysis of documentation The main sources of information about the incidents were the reports written by tram drivers. They are obligated to prepare such reports after every collision or accident. Such reports include every piece of information that is needed for the proposed method of identifying hazardous road locations. Unfortunately, the location of incidents was not always defined precisely, which led to the necessity of excluding a few incidents from further analysis. More than 500 occurred during the study period. The incidents that took place at the tram depot, on the tram loops or on sections of the network, which are currently not in operation, were excluded from further analysis. Therefore, 419 traffic incidents were analysed. Out of these 419 incidents, in 391 cases, only vehicles were involved, while, in 28, vehicles and pedestrians were involved. After incidents with an unprecise location were excluded, 370 incidents (in which only vehicles were involved) were chosen for further analysis. Each incident was assigned to one of five groups of categories of incidents. As it turned out, most incidents were assigned to Group 3, i.e., side collision (over 60%). Group 2 was next, covering minor collisions between two vehicles, which were parallel to each other at the moment of the incident, in which both vehicles were taking part in traffic. The exact numbers are shown in Fig. 3. iVBORw0KGgoAAAANSUhEUgAAAskAAAFJCAMAAAEptHAMAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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Fig. 3. Accident structure by categories of incidents; source: own research Once all incidents were assigned to particular locations, it turned out that 370 incidents took place in 176 locations. In 106 locations, only one incident had taken place, while there were five or more incidents in only 16 locations. The structure of the locations in which no more than 10 incidents were recorded is presented in Fig. 4.iVBORw0KGgoAAAANSUhEUgAAA8MAAAFMCAMAAAGv1a62AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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Fig. 4. Location structure by number of incidents; source: own research 3.2. Identifying hazardous road locations Once all locations were identified, for each location, the values of three measures determined by Formulas (4), (6) and (8) were calculated. For the criterion of homogeneity K2 and the criterion of the number of incidents K3, the limit values ( QUOTE iVBORw0KGgoAAAANSUhEUgAAAHMAAAATCAIAAAAs1aXrAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
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) had to be calculated. In the case of the criterion of homogeneity, the limit value was fairly easy to determine; as the study period was three years, the limit value was also 3. In the case of the criterion of the number of incidents, the numerical value of quantile Q95 was calculated. Following the appropriate calculation, all limit values were determined to be as follows: iVBORw0KGgoAAAANSUhEUgAAAIwAAAArCAIAAAAlu/c/AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAO
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Once the numerical values of all measures were calculated and compared to their limit values, it turned out that 11 locations, out of 176, at least fulfilled the requirements for Group III. From these 11 locations, only two were assigned to Group II and none to Group I. In Table 3, all hazardous road locations at the intersection of tramlines and road traffic, as identified by the proposed method, are presented.Tab. 3Locations identified according to the proposed methodNo.LocationCriterion K1Criterion K2Criterion K31.Intersection of Gliwicka Street in Katowice and Gałeczki and Armii Krajowej Streets in Chorzów -2.Entrances to the parking areas for properties 267 and 271 on Gliwicka Street in Katowice -3.Section of road (about 150 m) before Załęże Dwór tram stop-4.Miarki Square in Katowice-5.Intersection of Gliwicka, Grundmanna and Goeppert-Mayer Streets in Katowice -6.Intersection of Starokościelna, Szymanowskiego, Towarowa and Krakowska Streets in Mysłowice-7.Intersection of Chorzowska and Bytomska Streets in Świętochłowice -8.Section of road between Chorzów Batory Train Station and the intersection of Al. Bowid, Armii Krajowej and Inwalidzka Streets in Chorzów -9.Intersection of Gliwicka, Żelazna and Pośpiecha Streets in Katowice-10.General Ziętek Roundabout in Katowice-11.Intersection of Asfaltowa and Chorzowska Streets in Ruda Śląska-All locations that were identified as hazardous road locations were objects of further and more detailed analysis, in order to identify reasons, why these locations are of particular risk. They are presented on the fragment of a map of the Silesian Agglomeration (Fig. 5). Red lines represent the current tram network in this agglomeration, which is operated by analysed depot.iVBORw0KGgoAAAANSUhEUgAAA68AAAG1CAIAAACZKFVqAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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Fig. 5. Hazardous road locations at the intersection of tramlines and road traffic, as identified by the proposed method; source: own research 4. CONCLUSIONSThe main goal of this paper was to propose a method for the identification of hazardous road locations at the intersection of tramlines and road traffic. The proposed method includes different aspects of risk, thus allowing the problem of safety at the intersections of tramlines and road traffic to be considered from various points of view. Nevertheless, the safety aspects of tram traffic still need further research. It is still possible to perform a more detailed analysis, i.e., by considering different categories of incidents (the different number of categories as well) or even different criteria, such as the cost of analysed collisions and accidents. That cost may apply not only to property damage, but also to other actions, which must be undertaken when an incident occurs. An analysis of the documentation concerning incidents on the tram network, as operated by the Katowice-Zawodzie Tram Depot, has been also presented. This allowed us to test the proposed method on actual data. As a result, hazardous road locations at the intersection of tramlines and road traffic have been identified and listed in this paper. In further studies, these locations should be analysed in detail to improve safety. Research should also cover incidents that took place in locations on the tram network operated by other tram depots. ReferencesBabu S. Shekhar, P. Vedagiri. „Traffic Conflict Analysis of Unsignalised Intersections under Mixed Traffic Conditions”. European Transport\Transporti Europei 66(10): 1-12. ISSN 1825-3997.Bojar Piotr, Maciej Woropay, Mirosław Szubartowski. 2013. “The method of the evaluation of transport systems operation safety”. 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European Transport\Transporti Europei 66(5): 1-13. ISSN 1825-3997.Received 03.09.2017; accepted in revised form 12.11.2017iVBORw0KGgoAAAANSUhEUgAAAZMAAACNCAYAAAByt5c+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz
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Volume 97 2017p-ISSN: 0209-3324e-ISSN: 2450-1549DOI: https://doi.org/10.20858/sjsutst.2017.97.18Journal homepage: http://sjsutst.polsl.pl