Ain Shams Engineering Journal: Mohamed Shawky, Alsayed Alsobky, Ahmed Al Sobky, Ahmed Hassan
Ain Shams Engineering Journal: Mohamed Shawky, Alsayed Alsobky, Ahmed Al Sobky, Ahmed Hassan
a r t i c l e i n f o a b s t r a c t
Article history:                                       Road design deficiencies and improper driver behavior at roundabout intersections may result in traffic
Received 25 October 2022                               bottlenecks, irregular traffic patterns, and potential crashes. Thus, road safety inspection is conducted to
Revised 26 December 2022                               identify potential safety hazards and propose safety measures. The traditional safety inspection depends
Accepted 30 December 2022
                                                       on unreliable traffic collision data visual data collection and superficial analysis. In this regard, surrogate
Available online 18 January 2023
                                                       safety assessment approaches are utilized to overcome the limitations found in traditional approaches.
                                                       This paper employs an innovative surrogate approach for such a process by analyzing videos captured
Keywords:
                                                       by a drone. A video processing technique is applied to determine the vehicle trajectories and extract con-
Traffic conflicts
Traffic safety assessment
                                                       flict points. Accordingly, the conflict data are analyzed in terms of location, direction, and post-
Video processing                                       encroachment time (PET) as a safety measure to identify potential safety problems related to intersection
Conflict measures                                      geometry and driver behavior. This methodology is applied to an intersection case study in New Cairo
Roundabout intersection                                City, Egypt. The findings of this study confirm the interaction between intersection geometry, drivers’
                                                       behavior, and road safety on the examined safety measures.
                                                           Ó 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams Uni-
                                                       versity. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/
                                                                                                                                                       by-nc-nd/4.0/).
1. Introduction                                                                        among the sustainable development goals (target 3.6) of the UN-
                                                                                       2030 agenda [2].
   With the growing number of smart cities and corresponding                               Analysis of reported traffic crash data is a staple of the conven-
advanced mobility requirements, the need to apply unconven-                            tional approach to evaluating and enhancing road safety. However,
tional methods to assess the safety of road users increases. Around                    especially in low and middle-income countries, crash data have
1.35 million people die annually and more than 50 million suffer                       several problems in many counties regarding their availability,
injuries as a result of road traffic crashes (RTCs) [1]. World Health                  accuracy, and adequacy. Thus, as an alternative and reliable road
Organization (WHO) reported that the majority (more than 90 %) of                      safety assessment approach, researchers have long relied on using
RTCs occur in low- and middle-income countries to become the                           surrogate safety measures (SSMs) such as the temporal proximity
leading cause of death for people aged 5–29 years old [1]. There-                      conflict technique including time-to-collision (TTC), and post-
fore, the United Nations (UN) has declared traffic road safety                         encroachment time (PET) measures which are widely utilized.
                                                                                       The concept of traffic conflict was first proposed by Perkins and
                                                                                       Harris in 1967 [3]. They defined traffic conflict as any potential
    ⇑ Corresponding author.                                                            crash situation leading to the occurrence of evasive actions such
   E-mail addresses: m_shawky@eng.asu.edu.eg (M. Shawky), assobky@eng.asu.             as swerving or braking. Recent research demonstrated the accuracy
edu.eg (A. Alsobky), assobky4@outlook.com (A. Al Sobky), ahmedehassan@gmail.           and reliability of using traffic conflict analysis to estimate crash
com (A. Hassan).                                                                       frequency and severity levels [4–6]. Such shifting from the reactive
Peer review under responsibility of Ain Shams University.                              concept (crash data-based) to the proactive concept (conflict data-
                                                                                       based) plays a dominant role in improving road safety, especially in
                                                                                       the forthcoming era of Connected and Autonomous Vehicles
                                                                                       (CAVs) [7–9]. In addition, traffic conflict analysis is a potent
                    Production and hosting by Elsevier                                 method to examine the contributing factors affecting road safety
https://doi.org/10.1016/j.asej.2023.102115
2090-4479/Ó 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                       Ain Shams Engineering Journal 14 (2023) 102115
when crash data reports are missing or significant information is                models recognized more hazard conflicts than the corresponding
absent [10]. In this approach, no need to wait for more road crashes             univariate models.
and fatalities to happen before taking the appropriate actions and                   The types of traffic conflicts are generally classified in literature
countermeasures.                                                                 into three types based on the measured angle between the two
    Emerging new technologies of artificial intelligence (e.g., machine          conflicting vehicles; rear-end collision for angles in a range of 0
learning) in tracking vehicles enhance the extraction of accurate traf-          to 30°; lateral collision by lane change from 30 to 85°; and by a
fic conflict measures to assess road safety either online or offline [11].       crossing of frontal from 85 to 180° [25,26]. In general, there is an
Thus, SSMs are becoming increasingly important for the future of                 agreement that the threshold value of 5.0 s for PET is the best value
road safety analysis utilizing advanced technologies such as video               to distinguish between conflict and non-conflict events [25–28].
recording by Unmanned Arial Vehicles (UAV), commonly called                      Regarding the threshold values of the PET, several studies
drones, image processing, and vehicle tracking programs.                         attempted to define the appropriate thresholds yet, the critical
    As in most low and middle-income countries, the behavior of                  threshold value is an open question. The FWHA recommended
Egyptian drivers significantly affects road safety due to the lack               threshold values for traffic conflict studies from 0 to 5 s for PET
of cultural understanding of traffic safety aspects [12,13]. This                and 0 to 1.5 s for TTC [26]. In addition, a PET value of 2.5 s is
could be particularly recognized at unsignalized intersections                   severely used as a threshold between serious and non-serious con-
where the absence of priority rules and lane configuration leads                 flicts, while the threshold value of 1.0 s is strongly correlated with
to more improper and serious conflicts. However, up to date, there               severe crashes (i.e., crashes result in injuries or fatalities [15,16,31].
is no significant attention to understanding how such drivers
behave to avoid collisions at unsignalized intersections, especially
                                                                                 3. Data collection and methodology
in the case of unmarked large roundabouts. Consequently, a funda-
mental problem could arise and would need prompt and efficient
                                                                                 3.1. Vehicle detection and tracking process
solutions. Therefore, this study employed the traffic conflict con-
cept to assess road safety and investigate drivers’ behavior at
                                                                                     Vehicle detection is a computer vision technique where objects
roundabout intersections by using drone video records in Egypt.
                                                                                 are located and classified in images or videos. The object detection
                                                                                 algorithm applies either machine learning or deep learning. This
                                                                                 algorithm aims at replicating human capabilities in recognizing
2. Literature REVIEW
                                                                                 objects [32]. Moreover, vehicle tracking is the process of detecting
                                                                                 objects through different video frames such that the position and
    The time-to-collision (TTC) and post-encroachment time (PET)
                                                                                 direction are identified at each frame [33]. Then, the object’s trajec-
are the most traffic conflict measures in road safety studies as sur-
                                                                                 tory could be developed. Thus, these techniques are crucial to var-
rogate safety measures [14]. TTC is defined as ‘‘The projected time
                                                                                 ious applications such as traffic monitoring, management, etc.
until two interacted road users would collide if they continued on
                                                                                 Vehicle tracking is applied to extract their trajectories while cross-
their collision course with unchanged speeds and direction” [8].
                                                                                 ing the case study roundabout intersection which is located in New
Whereas PET is defined as ‘‘The elapsed time between the depar-
                                                                                 Cairo, Egypt at the location of Longitude 31° 280 2700 E and latitude
ture of an encroaching vehicle and the arrival of a trailing vehicle
                                                                                 30° 40 1500 N. A fifty-minute video was shot by a drone and is split
at the same point” [9]. The strong relationship between traffic con-
                                                                                 into segments, each two-minutes long. At each video segment, a
flicts and crashes has been confirmed in several studies. For
                                                                                 sample of vehicles is selected for the tracking process; the sample
instance, Anarkooli, et al. [15] showed a clear linear relationship
                                                                                 includes 1,217 vehicles which represents around 30 % of the vehi-
between traffic conflict and crashes (R2 = 0.85 for all crashes and
                                                                                 cles traversing the function area of the selected roundabout. Then,
R2 = 0.94 for fatal/injury crashes). Peesapati et al. [16] proved that
                                                                                 at each video frame, each selected vehicle position is reported to
the correlation between PET value of 2.0 s and crashes is 0.17 but at
                                                                                 develop vehicle trajectories across the intersection.
1.0 s the correlation reached 0.61.
                                                                                     Next, object tracking includes two main levels which are Single
    in addition, Zheng et al. [17] conducted a thorough review of
                                                                                 Object Tracking (SOT) and Multiple Object Tracking (MOT) [34].
prior traffic safety studies that employed traffic conflict as a safety
                                                                                 The MOT approach aims to develop the trajectory for multiple
measure. Their findings demonstrated the distinctive feature of
                                                                                 objects in a video. The MOT starts with localizing the objects in
using the traffic conflict technique is its multi-dimensionality,
                                                                                 each frame with bounding boxes. Then, relating the objects among
issues with short observation periods, and temporal and spatial
                                                                                 different frames [34]. Two main techniques are developed for
correlation. Another review paper [18] raised critical questions
                                                                                 object tracking: visual feature tracking and classification neural
before the expected widely deployed autonomous vehicles such
                                                                                 network [35]. The visual feature tracking includes several algo-
as ‘‘Is a single SSM good enough for automated connected vehicles?
                                                                                 rithms such as Boosting, MIL, GOTURN, MOSSE, KFC, CSTR (DCF-
‘‘What SSM is better for trajectory optimization to improve safe-
                                                                                 CSR), Median flow, and TLD trackers that have been developed [35].
ty?”. The study showed that traffic conflict modeling and analysis
                                                                                     In the current research, the DCF-CSR algorithm is applied to
still require further investigation. Arun, et al., [19] conducted a sys-
                                                                                 track the vehicles which provide excellent performance on all stan-
tematic review of 386 studies on traffic conflict techniques. They
                                                                                 dard benchmarks in short-term object tracking [36]. The algorithm
summarized the gaps in the reviewed studies in four points; the
                                                                                 constructs a spatial reliability map that is used to adjust the filter
lack of suitable techniques to estimate crash risk by severity levels;
                                                                                 to focus on the part of the selected frame (i.e., Region of Interest).
the primary focus on signalized intersections, and the roundabout
                                                                                 Thus, the accuracy of the localization of the selected vehicle is
studies represented only about 9 %; the lack of suitable conflict
                                                                                 improved [37]. For each video segment, several vehicles are
measures for vulnerable road users; and the scarcity of validation
                                                                                 selected for tracking as shown in Fig. 1a. Then, Fig. 1b shows the
studies for conflict measures. Recently, a significant research effort
                                                                                 final recorded trajectories.
was done to use multi-conflict measures for road safety and apply
this approach to real-time safety assessment modeling [20–22]. Fu
and Sayed [23,24] provided multivariate modeling methods for                     3.2. Treatment of drone instability
road safety assessment based on conflict extremes in real-time sit-
uations. They applied a mix of three conflicts indicated at signal-                 Object tracking using drone videos is a challenging process as it
ized intersections where the results showed that the multivariate                captures the objects while UAV is not exactly at the same location
                                                                             2
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                                                   Ain Shams Engineering Journal 14 (2023) 102115
resulting in distortion, occlusion, change in illumination, and blur-                       each frame separately. The five control points are selected in the
ring [38–40]. Therefore, there are significant differences in the                           condition of covering four corners and the center of the round-
resulting coordinates even for static objects (e.g., landmarks), using                      about intersection. These control points are then used to adjust
various video frames.                                                                       the location of the same control points across the video frames.
      In particular, the location error of the same landmark (i.e., static                  The root means square of errors reached 3.97 pixels (i.e.,
object) in different frames compared to the first frame due to the                          0.97 m); while, the average was 1.77 pixels (i.e., 0.43 m) which
drone instability in this case study reaches 58 pixels (i.e., 14.1 m)                       ensures the high accuracy of instability treatment. Fig. 2 illustrates
as a root means square of errors with an average error 15 pixels                            the used control points (i.e., static landmarks) which are repre-
(i.e., 3.7 m). These errors ensure the importance of drone instability                      sented by the centers of green circles. The figure also shows the dif-
treatment to obtain accurate locations and then reliable safety                             ferent treated locations for these control points in all frames which
measures.                                                                                   are represented by the red points.
      Often, these deformations are mainly classified into translation
and rotation. The translation is also divided into two types: hori-                         3.3. Conflict points identification
zontal and vertical. The vertical translation causes scaling deforma-
tion, while the horizontal translation causes shifting deformation.                             The conflict point is identified using the PET indicator. The con-
In addition, rotation is divided into two types: rotation about the                         flict point is located at the intersection between vehicle trajectories
vertical axis and rotation about a non-vertical axis which causes                           where the PET value is 5 s or less. Then, the severity and type of
tilting deformation.                                                                        conflict are defined based on PET ranges and the conflict angles,
      Authors attempted to combine and treate all these deforma-                            respectively as given in Table 1. The conflict point is identified if
tions (i.e., shifting, horizontal rotation, scaling, and tilting) using                     its PET value is within a range of [0, 5]. The PET is calculated
only one equation as illustrated in Equation (1). The coordinates                           between two conflicting vehicle trajectories as shown in Fig. 3.
(xij , yij ) of an object (i) in a certain video frame (j) are projected into               Then, to define the conflict severity, this range is divided into four
the coordinate system (X iR , Y iR ) in the reference frame (R) (e.g., the                  segments: Extreme, serious, Moderate, and General based on
first frame in the video).                                                                  ranges of PET of [0,1], [1,2.5], [2.5, 3.5], and [3.5,5], respectively.
                                                                                            Also, the conflict is classified by type to rear-end, lane change,
 X iR                                 Sxj coshj Sxj sinhj dxj xij
                        1                                                                   and crossing based on the angle between conflicting vehicle trajec-
½ Y iR  ¼                           ½ Syj sinh Syj coshj dyj ½ yij             ð1Þ
             t 1j xij þ t 2j yij þ 1                                                        tories at the conflict point. Table 1 provides the angle ranges for
  1                                       t 1j      t2j     1 1                             each type based on SSAM developed by FWHA [26]. The case study
    Where the transformation parameters for a frame (j) are:                                intersection is divided into sections that are selected to include dif-
                                                                                            ferent conflicts within the circulating lanes, approaches, and exits,
    ddxj and dyj : the horizontal shift in directions of X-axis and Y-
                                                                                            where the intersection is divided into 12 sections, as indicated in
axis,
                                                                                            Fig. 4. The circulating lanes are divided into 4 sections. In addition,
    hj : the horizontal rotation about Z  axis,
                                                                                            a section is defined for each approach and exit. At each circulating
    Sxj and Syj : the scaling in directions of X  axis and Y  axis due
                                                                                            section, the conflicts rate is calculated by dividing the number of
to vertical translation,
                                                                                            conflicts by the exposure as given in Equation (2). In this section,
    t1j and t2j : the effects of tilt deformation in directions of X  axis
                                                                                            the exposure is calculated using the conflicting volumes that are
and Y  axis.
                                                                                            approaching and circulating traffic volumes as given in Equation
    To obtain these transformation parameters through the differ-
                                                                                            (3).
ent video frames, five well-distributed control points are identified
in all frames including the reference frame. Therefore, the transfor-                                          total number of conflicts
                                                                                            Conflictrate ¼                                                                                              ð2Þ
mation parameters in Equation (1) (i.e., dxj , dyj , hj , Sxj , Syj , t 1j and t2j )                                   Exposure
for each frame are determined using nonlinear optimization to
                                                                                                          pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
transform the coordinates of the control points in each frame to                                           Approaching Volume  Circulating Volume
match as much as possible the corresponding coordinates in the                              Exposure ¼                                                                                                  ð3Þ
                                                                                                                                                1000
reference frame. Accordingly, the transformation parameters for
a frame are used to obtain the adjusted coordinates of all detected
objects in such frame to the coordinates system of the reference                            4. Analysis and results
frame.
    This treatment is applied on all frames in the video (i.e., 104,769                        The tracked vehicle resulted in 2,424 traffic conflicts at the cir-
frames, 30 frames per second) and then the corresponding trans-                             culating, entry, and exit sections. These conflict points are divided
formation parameters are determined by solving Equation (1) for                             into three types: rear-end, lane change, and crossing. The rear-end
                                                                                        3
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                                    Ain Shams Engineering Journal 14 (2023) 102115
Table 1
Conflict point classification by type and severity.
Table 2
Analysis of conflict PET values in different sections.
   Section                                  Number of conflicts         Average of PET           Min. of PET          Max. of PET         Std. Dev of PET                  Range
   Circular sections           1            303                         3.0                      0.1                  5.0                 1.2                              4.9
                               2            264                         2.8                      0.0                  5.0                 1.3                              5.0
                               3            663                         3.0                      0.0                  5.0                 1.2                              5.0
                               4            805                         2.9                      0.5                  5.0                 1.2                              4.5
   Entry                       5            13                          2.0                      0.4                  4.8                 1.4                              4.4
                               6            171                         3.0                      1.2                  5.0                 1.1                              3.8
                               7            45                          2.5                      0.0                  4.8                 1.4                              4.8
                               8            2                           3.8                      2.8                  4.8                 1.4                              2.0
   Exit                        9            8                           4.2                      1.6                  4.9                 1.1                              3.3
                               10           97                          2.9                      0.6                  4.9                 1.2                              4.3
                               11           16                          2.6                      0.1                  4.9                 1.4                              4.8
                               12           37                          3.1                      0.8                  4.8                 1.1                              4.0
conflicts represent about 13.2 % of the identified conflicts, while                        tion of the identified conflict points. The figure shows that sections
the lane change conflicts represent about 86.7 % of the conflicts.                         no. 3, and 4 are the most critical sections in terms of the total num-
Crossing conflicts are rarely found in the intersection. Fig. 5 illus-                     ber of identified conflicts as they include around 60 % of the total
trates the spatial distribution of the identified conflict points. The                     identified conflicts. In addition, sections no. 2, 3, and 7 include con-
figure shows that sections no. 1, 3, and 4 are the most critical sec-                      flicts with a PET value of zero indicating real crashes. The average
tions in terms of the total number of identified conflicts.                                of the PET value in entry sections 5 and 7 are the most critical. Fur-
                                                                                           thermore, section 6 is the most critical entry section in terms of the
                                                                                           number of identified conflict points. The conflict rate, calculated
4.1. Conflict analysis
                                                                                           based on Equations (1) and (2), is given in Table 3. The table shows
                                                                                           that section 4 is the most critical section with a rate of 3,174 con-
   Conflict points are identified in terms of location, severity, and
                                                                                           flicts per thousand vehicles.
type. The location of the conflict points highlights the hazard level
of the section providing insights into the potential problems
                                                                                           4.1.1.2. Distribution in terms of conflict angle. Generally, roundabout
related to driver behavior, intersection geometry, etc.
                                                                                           intersections are designed to allow the drivers to merge into circu-
                                                                                           lar lanes with minimum angle values. However, based on the iden-
4.1.1. Conflict spatial distribution                                                       tified conflict points, the average conflicting angle in section 3 is
4.1.1.1. Distribution in terms of number and type. Based on the loca-                      the most critical with a value of around 22° as given in Table 4.
tion of the identified conflicts, Fig. 4 illustrates the spatial distribu-                 Also, the maximum conflicting angle in section 3 exceeds 90°
                                                                                       4
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                              Ain Shams Engineering Journal 14 (2023) 102115
Rear-end conflicts
          Fig. 3. Definition of the PET measure for a conflict point [14].                   Table 6 shows the share of rear-end conflict type in the
                                                                                          recorded conflict points. From the table, rear-end conflicts have
which implies occurring of crossing conflicts. Entry and exit sec-                        the major share in the recorded conflicts by around 87 %. Further-
tions have relatively small conflict angles ranging between zero                          more, there are about 38 %, 22 %, 12 %, and 8 % of these types of
to 5°.                                                                                    conflicts are located in sections 4, 3, 2, and 1, respectively. Thus,
                                                                                          the majority of these conflict types are found in the circulating
                                                                                          lanes where conflicts take place among approaching and circulat-
4.1.2. Conflict severity analysis                                                         ing vehicles, on the one hand, and also among circulating vehicles
    The severity analysis is carried out based on the PET measure.                        as well, on the other.
Table 5 shows that the extreme conflict points represent about                               This type of conflict may be formed due to unsafe tailgating
3 %; while the serious conflicts are about 38 %. These values high-                       driving behavior where drivers may try to get close to the front
light a safety problem in the intersection. The safety problem may                        vehicle to avoid possible interference from other aggressive drivers
be related to driving behavior, geometric design, vehicle, or a com-                      who do not properly comply with the priority rules of the round-
bination of them. For instance, in section 10, there are serious rear-                    about intersections.
end conflicts. Such conflicts may be due to braking action carried
out by a vehicle in the main traffic stream to avoid collision with                          Lane change conflicts
vehicles performing unsafe merging maneuvers to the traffic
stream coming from section 6 using the U-turn. This problem                                  Table 6 shows the share of lane change conflict type at circulat-
may be classified as driving behavior and improper geometric                              ing sections. The highest share is in section 3 with 62 % of lane
design of the intersection.                                                               changes recorded conflicts. This value indicates that the section
    Table 2 shows the average PET value which indicates the sever-                        includes serious lane change conflicts due to driving behavior
ity level of each considered section. Section 5 has the least average                     and road geometric aspects.
PET value of 2.0 which is an indicator of serious conflict. However,
                                                                                      5
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                                              Ain Shams Engineering Journal 14 (2023) 102115
Table 3                                                                                           (AASHTO [44]) affects traffic conflicts and thus overall safety. The
Conflict rate at different sections of the circulating carriageway.                               geometric elements addressed include lane balance, entry and exit
   Section           No. of Conflict            Angle        PET           Conflict rate          angles, shifting of legs centerlines, and lane width.
   1                 303                        19.5°        3.0           1,421
   2                 264                        6.8°         2.8           1,570                  4.2.1. Entry and exit angles
   3                 663                        22.4°        3.0           1,913                      The entry and exit angles play a significant role in directing dri-
   4                 805                        6.3°         2.9           3,174                  vers through the circulating carriageway and the conflicting angles
                                                                                                  during lane change maneuvers. Fig. 7a and 7b show the typical
                                                                                                  standard roundabouts with the acceptable paths’ movements.
Table 4                                                                                           However, the actual situation of the intersection case study shows
Analysis of conflict angle values at different sections.
                                                                                                  a significant shift in the two legs of the intersection (leg A and leg
   Section           Average of        Min of       Max of         Std Dev of      Range          C) from the central island center. Such shifts caused an improper
                     Angle             Angle        Angle          Angle                          conflict angle at sections 1 and 3, as proved by the conflict analysis
   Circular   1      19.5°             0.3          62.4           19.5            62.1           shown in Table 4. This means that shifting a centerline of an inter-
              2      6.8°              0.0          43.3           6.1             43.3           section leg results in a critical traffic safety situation at the circulat-
              3      22.4°             0.3          91.9           24.5            91.6
                                                                                                  ing sections of this leg entry.
              4      6.3°              0.2          43.4           6.4             43.2
   Entry      5      3.3°              0.5          6.1            2.0             5.7
              6      5.5°              0.2          60.5           5.8             60.3           4.2.2. Lane-related issues
              7      5.9°              0.3          17.4           4.0             17.0               Lane balance through interaction, the total number of circulat-
              8      3.6°              3.3          3.8            0.4             0.5            ing lanes, and lane width are critical design elements in our case
   Exit       9      2.3°              0.3          4.3            1.5             4.0
                                                                                                  study. As shown in Fig. 8a there is an imbalance through the entry,
              10     6.9°              0.4          27.8           5.8             27.3
              11     2.1°              0.3          8.1            2.1             7.8            circular, and exit sections whereas the number of lanes ranges
              12     4.2°              0.5          14.5           2.8             14.0           from 4 lanes to 7 lanes. This imbalanced situation in addition to
                                                                                                  the large number of circulating lanes and island radius are usually
                                                                                                  stated as non-preferable in the textbooks and now from this study
Table 5
                                                                                                  proved that it results in dead areas, Fig. 8b, encouraging drivers to
Analysis of conflict severity.                                                                    overlapping lanes that could be proved by vehicles trajectories;
                                                                                                  examples in Fig. 8c and 8d.
   Severity levels                PET (sec.)                 f                     %f
   Extreme                        1                          66                     2.7   %
                                                                                                  4.3. Driving behavior
   Serious                        2.5                        918                   37.9   %
   Moderate                       3.5                        595                   24.5   %
   General                        5                          845                   34.9   %          Studying driving behavior is a vital part of traffic safety due to
                                                                                                  the considerable share of human errors in traffic crashes. The driv-
                                                                                                  ing behavior includes the actions of steering the vehicle such that
                                                                                                  the traffic conditions may be affected by driver behavior. In this
4.2. Geometric design impact on conflicts                                                         regard, aggressive driving may create irregular traffic conditions
                                                                                                  resulting in traffic crashes [41]. Aggressive driving includes over-
   This section addresses how the deviation of the geometric                                      speeding, tailgating, ignoring traffic regulations, improper lane
design from the standard rules of the roundabout intersection                                     changing or weaving, etc. [42]. Fig. 9 shows a dangerous weaving
                                                                                              6
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                          Ain Shams Engineering Journal 14 (2023) 102115
function area of the intersection from the same vehicle. that           area of the intersection which includes about 82 % of the
can interpret the high number of rear-end conflict points com-          recorded rear-end conflicts, as shown in Fig. 5 which illustrates
pared to the findings from developed countries. Drivers may             the number and distribution of rear-end conflicts. Furthermore,
behave this way to avoid delays resulting from interference             the vehicle trajectory shows that the number of rear-end con-
from surrounding vehicles who do not respect lane use priority          flicts generated by a single vehicle in the intersection function
rules. However, this driving behavior is considered aggressive          area is ranged from one to 13 conflicts with an average of
behavior; it is found to be a common behavior in the circular           2.7 rear-end conflicts/vehicle.
                                                                    8
M. Shawky, A. Alsobky, A. Al Sobky et al.                                                                         Ain Shams Engineering Journal 14 (2023) 102115
5. Conclusion
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