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Article

Evaluation Model for the Level of Service of Shared-Use Paths Based on Traffic Conflicts

1
School of Transportation, Southeast University, Jiangning District, Nanjing 210096, China
2
Research Institute of Highway, Ministry of Transport, China, No. 8 Xitucheng, Haidian, Beijing 100088, China
3
School of Transportation, Southeast University, No. 2 Southeast University Road, Nanjing 211189, China
*
Author to whom correspondence should be addressed.
Sustainability 2020, 12(18), 7578; https://doi.org/10.3390/su12187578
Submission received: 17 August 2020 / Revised: 10 September 2020 / Accepted: 10 September 2020 / Published: 14 September 2020

Abstract

:
As a product of urban motorized traffic, sharing roads between pedestrians and non-motor vehicles has been widely used in the world. In order to improve the service quality of slow traffic, it is necessary to evaluate the service level of the shared-use path to determine whether the road is suitable for setting up shared forms. Therefore, the purpose of this study is to provide an analytical framework to quantify and accurately express the service level of shared-use paths. Considering the direct impact of traffic conflicts on service quality, fuzzy clustering analysis is used to analyze traffic conflicts. Then, the corresponding relationship between traffic conflict events and service levels is established, and the classification criteria of the service levels at all levels and the corresponding range of conflict events are determined. By judging the interval in which the number of conflict events belongs, we can determine the service level of the shared-use path, and then determine whether the slow-moving road is suitable for sharing between pedestrians and non-motor vehicles. The research results can provide a reference for traffic management departments to determine the service level and applicability of shared roads.

1. Introduction

Slow traffic usually refers to manually driven traffic, such as walking or non-motorized vehicles, which is an important part of urban residents’ travel. However, with the rapid improvement of the degree of motorization, urban transportation resources tend to be excessively motor vehicles, the slow-moving space is severely compressed, and pedestrians are mixed with bicycles and electric cars. This study calls it a shared-use path used by pedestrians, cyclists, and electric bicycle riders. Shared-use path is a road resource that pedestrians and non-motor vehicles can use simultaneously. In this design mode, there is no height difference between sidewalks and non-motor vehicle lanes, and space can be utilized mutually (as illustrated in Figure 1)
It is a product of urban motorization. Through lane sharing, non-motor vehicle traffic can use sidewalk space during peak hours, while pedestrian traffic can use non-motor vehicle lane space during normal hours, thus saving urban space resources and alleviating lane congestion. However, when mixed traffic flow is too large, the conflicts between different modes of transportation will be greater, and the service quality of shared roads will be worse. At this time, it is necessary to consider taking reasonable isolation measures to isolate non-motor vehicles and pedestrians with different operations to ensure traffic efficiency and safety. Therefore, it is necessary to discuss whether shared-use paths are used in road sections, and then determine the reasonable application scope of the shared road to ensure the rationality of its planning and design.
Service level is a comprehensive description of the running state and the feelings of road users [1]. It is typically used as an important index to evaluate the quality of shared-use paths. Reasonable evaluation of the service level of shared-use paths is of great significance for determining the applicable scope of shared lanes, improving the slow-moving traffic environment, and increasing the utilization rate of road space.
Existing research on the service level of shared-use paths mainly focuses on various independent slow traffic modes, paying attention to pedestrians and bicycles. Many studies have analyzed the factors affecting the service level of bicycle lanes, including speed, traffic volume, the width of bicycle lanes, road conditions, and riding experience [2,3,4,5]. Generally speaking, there are two classical methods to evaluate the service level of bicycle lanes, namely, the Bicycle Compatibility Index (BCI) and the Bicycle Level of Service (BLOS). Numerous studies have compared and analyzed the similarities and differences between the two models, summarized their advantages and disadvantages, pointed out the applicability of the models [6,7,8], and optimized the evaluation models [5,8,9,10]. This review investigates the variables and indices employed in the BLOS area in relation to the field of bicycle flow and comfort research [11].
The service level is also related to the capacity of bicycle lanes [12,13]. Some scholars also put forward the concept of user’s psychological space, and regard its influence rate and duration as the evaluation index of bicycle lane safety service level [14]. Studies have used the number of bicycle traffic conflicts as the basis for dividing the service level of bicycle lanes, including two types of conflicts: The number of encounters in reverse traffic flow and the number of overruns in the same direction [15,16]. Survival analysis of the risk perception sensitivity of cyclists is proposed. The cumulative probability of survival serves as an index of risk perception sensitivity, and a Cox regression model is established to evaluate bicyclists traffic conflicts [17].
Pedestrian Level of Service (PLOS) is widely used to evaluate the comfort of pedestrian facilities on shared-use paths, which defines the performance level of pedestrian facilities [18,19]. In the research process of evaluation models of pedestrian service level, many methods have been applied to obtain the classification standard of service level, such as Highway Capacity Manual (HCM), Affinity Propagation (AP), Self-Organizing Map (SOM) in Artificial Neural Network (ANN), and Genetic Algorithm-fuzzy (GA-fuzzy) clustering [20,21]. Many studies have described the running state, comfort, and security of pedestrians during walking as evaluation indexes for the service level of walking facilities [22,23,24,25]. At the same time, scholars have put forward a calculation method of pedestrian service level considering the comfort of walking facilities from the perspective of visual inconvenience person [26].
Scholars have done further research on the service level of shared roads under mixed traffic flow. At first, Botma put forward the concept of blocking probability for two traffic entities, namely, bicycle and pedestrian, taking the frequency of overtaking and meeting between different traffic entities on the shared-use path as the evaluation index of the service level of a shared road. After that, many studies have studied the classification and determination of the service level of shared-use paths based on the obstacle model proposed by Botma. The concept of traffic conflict intensity was also adopted to describe the service level of shared roads [27,28,29,30]. On the macro level, Zohreh Asadi-Shekari discussed the challenges faced by the walking level of service and bicycle service level on shared-use paths and provided some development suggestions [31]. Fan Wei has qualitatively discussed the advantages, disadvantages, and applicable conditions of shared-use paths [32].
Scholars have further studied the service level of shared roads under mixed traffic conditions. Firstly, Botha put forward the concept of congestion probability of bicycle and pedestrian traffic entities. The frequency of overtaking and meeting between different traffic entities on the shared-use path is taken as the evaluation index of service level [33]. Since then, based on the obstacle model put forward by Botha [27,34,35], many studies have studied the classification and determination of the service level of shared-use paths. The concept of traffic conflict intensity has also been adopted to describe the service level of shared roads [26,29,30,31]. On the macro level, Zohreh said, Shekari has discussed the challenges faced by the walking level of service and bicycle service level on shared-use paths and provided some development suggestions [32]. Fan Wei has qualitatively discussed the advantages, disadvantages, and applicable conditions of shared-use paths.
However, the existing research on the service level of shared-use paths mostly focuses on the sharing of pedestrians and bicycles, while ignoring the influence of electric vehicles. Secondly, the establishment of the service level evaluation system of shared-use paths is only aimed at a certain type of road users, and it lacks a comprehensive consideration of the service quality of all slow traffic users under the mixed slow traffic flow.
Here, we propose a method for evaluating the service level of shared-use paths. This method takes into account three slow traffic modes: Pedestrians, bicycles, and electric vehicles. In this method, we study the influence of traffic conflict events on service level. Through fuzzy clustering analysis of traffic conflict events, the corresponding relationship between traffic conflict events and service levels is established, and the quantitative expression of service level of shared lanes is realized.
The organizational structure of this study is as follows: Section 2 analyzes and clusters traffic conflict events. Section 3 establishes the corresponding relationship between service levels at all levels and different types of traffic conflict events. The discussion and conclusion are given in Section 4 and Section 5, respectively.

2. Materials and Methods

2.1. Data Definition

In this paper, Traffic Conflict Events are introduced as the index of dividing road service levels. Firstly, it is defined as follows: On an urban shared-use path, each road user occupies a certain amount of time and space resources. If two or more road users approach each other at the same time and space, at least one road user must change his running state, otherwise, collision or danger may occur. This phenomenon is called the Traffic Conflict Event. It is defined as a traffic conflict occurring in each traffic entity per unit time on a given shared-use path [36].
On shared-use paths, traffic conflict events refer to overtaking or meeting events that have a great psychological impact on traffic participants. The specific performance is the avoidance action caused by overtaking, being overtaken, or meeting. In the actual investigation, it is defined as follows.
(1)
All conflict events only consider the overtaking (meeting) events occurring in adjacent lanes (1 m is specified as the width of a single lane). For several traffic entities that overtake (meet) in parallel at the same time, it is considered that the overtaking (meeting) events will not affect them. Overtaking (meeting) traffic users on one side of adjacent lanes is counted as a conflict event (Figure 2a).
(2)
Figure 2b shows that overtaking (meeting) traffic entities in adjacent lanes on both sides is regarded as two conflicting events.
(3)
If the overtaking (meeting) event occurs at a lateral distance greater than l meter, the number of events is not counted (Figure 2c).
In practice, the number of events corresponding to different modes of transportation includes not only the number of times of overtaking (meeting) but also the number of times of being overtaken (met). However, it has been stipulated that the number of overtaking (meeting) events is only the number of overtaking (meeting) events between two road users, so strictly speaking, the number of overtaking is equal to the number of being overtaken, and the number of meetings is equal to the number of being met. Using transcendental number and encounter number to express the number of events accords with the actual situation, which is convenient for statistical operation.
In the process of traffic conflict, road users are required to pay extra attention to the events of overtaking, being overtaken, or meeting. Therefore, the more traffic conflict events road users encounter during operation, the more blocked the operation, the worse the travel comfort, and the lower the service level. In other words, the number of conflict events is a comprehensive indicator of the comfort of shared-use paths, which is closely related to the definition of road service level. Therefore, taking traffic conflicts as indicators, this paper establishes the standard of service level division.

2.2. Data Investigation

2.2.1. Data Interpretation

This study needs the following data in the subsequent analysis (Table 1):

2.2.2. Investigation Scheme

(1)
Investigation period
According to the analysis results of pre-investigation, the pedestrian and non-motor vehicle traffic generally presents the trip rule that the morning peak distribution is concentrated, the evening peak is relatively scattered, and the morning peak traffic volume is larger than the evening peak traffic volume. The peak period lasts 20 min.
Restricted by objective factors such as driving speed and distance, the morning peak of slow traffic is generally 15–30 min earlier than that of motor vehicle traffic, and the evening peak is later than that of motor vehicle traffic. Therefore, drawing on the existing experience of motor vehicle investigation, it is considered that it is more appropriate to choose 7:00 am–8:30 am for investigation.
(2)
Source of data
Researchers investigated four typical shared-use paths in Nanjing city in China. The survey point is located in the central area of the city. See Table 2 for details.

2.2.3. Data Statistics

(1)
Select typical sections in each road section and take 5 min as a statistical interval, and then obtain the two-way pedestrian, bicycle, and electric bicycle traffic flow on shared-use paths from 7:00 a.m. to 8:30 a.m. Finally, we need to extend the short-time traffic in 5 min to hourly traffic.
(2)
Taking the bicycle as the test vehicle, the tester rode continuously at 5-min intervals during the investigation and recorded the corresponding real-time traffic operation through the camera, so as to obtain the number of traffic conflict among pedestrians, bicycles, and electric vehicles (Table 3).

2.3. Data Processing

2.3.1. Traffic Composition Analysis

Through the comparative study of the forward and reverse traffic flows of three slow-moving traffic modes on shared-use paths, it is found that the reverse traffic volume ratio of electric vehicles and bicycles on each road section is small (less than 10%), which can be ignored. Except Beijing East road, the reverse pedestrian flow in other sections is relatively large, accounting for 36–62% of the total pedestrian flow in this sections, which is related to the characteristics of pedestrians and the nature of the land around the sections. Based on this, this paper focuses on electric vehicles, bicycles, and two-way pedestrians.

2.3.2. Data Classification

In the actual investigation, due to the constant change of the speed of the test car, the random sampling value of the number of events has great discreteness, so it is not suitable for fitting with the original data directly. Therefore, firstly, the raw data are classified and processed according to the following methods, and the average interval value of each group is taken as the unified flow of the data in this group.
(1)
Bicycle hourly flow rate Qcb distribution has a minimum interval of [0, 100], a maximum interval of [800, 900], and a step size of 100, which are divided into 9 groups.
(2)
The minimum and maximum interval of pedestrian flow Qp rates are [0, 100] and [900–1000], respectively, with a step size of 100, which are split into 10 groups.
(3)
The minimum interval of the total flow rate Q of the road section is [200, 400], the maximum interval is [3400, 3600], and the step size is 200, which are divided into 17 groups.
When processing, all data samples are divided into 83 categories according to different lane widths, electric vehicle flows, bicycle flows, and pedestrian flows. The average measured number of events is regarded as the new value of the number of events after classification. Each category includes information such as lane width, flow rate, and number of conflict events. Table 4 gives a summary.

2.4. Fuzzy Cluster Analysis

To establish the corresponding relationship between conflict events and service levels, it is necessary to classify the number of events obtained from the investigation, to obtain the standard value for dividing the number of service-level events.

2.4.1. Classification Index

Considering that bicycle traffic flow usually occupies the middle lane of the road section and conflicts with neighboring pedestrians and electric vehicles to a certain extent, it can be considered that the number of bicycle traffic conflict events per minute is the largest [37]. Therefore, the service level of bicycles is regarded as the service level of shared-use path, and the number of various traffic conflicts of bicycles is regarded as the classification index of fuzzy clustering analysis.
In this paper, the clustering analysis method of the bicycle service level is cited [16]. Cluster analysis classifies a group of things according to their similarity in essence, and classifies individuals with similar attributes into one class, so that individuals in the same class have a high degree of homogeneity. In the systematic clustering method, a given sample is just one class attribute, which belongs to the hard clustering method. However, in a practical application, the boundaries between different bicycle service levels are fuzzy, so fuzzy clustering analysis should be carried out according to the objective characteristics and the degree of closeness between samples. Different from the systematic clustering method, the fuzzy clustering method is a mathematical method to classify objective things by establishing fuzzy equivalence relation according to their characteristics, the degree of affinity, and similarity.
The principle of “minimizing the similarity between classes and maximizing the similarity within classes” should be followed when using fuzzy cluster analysis to divide the bicycle service level on shared-use paths.
The specific steps of fuzzy clustering are as follows.

2.4.2. Data Standardization

According to the requirements of the fuzzy matrix, the standard deviation transformation and range transformation are carried out on the data, and the sample data are compressed to the interval [0, 1]. Assume that the original data matrix is as follows:
[ x 11 x 12 x 1 m x 21 x 22 x 2 m x n 1 x n 2 x n m ]
where x n m represents the original data of the m-th index of the n-th classified object
Equations (1)–(3) shows the transformation formula of standard deviation:
x k ¯ = ( 1 / n ) i = 1 n x i k
where x k ¯ represents the average value of each classified object.
s k = ( 1 / n ) i = 1 n ( x i k x k ¯ ) 2
x i k = ( x i k x k ¯ ) / s k , i = 1 , 2 , , n ; k = 1 , 2 , , m ;
where x i k represents the standard deviation of each classified object.
Equation (4) shows the range transformation formula:
x i k = [ x i k min 1 i n { x i k } ] / [ max 1 i n { x i k } min 1 i n { x i k } ] , k = 1 , , m ;
where x i k represents the range of each classified object.

2.4.3. Fuzzy Similarity Matrix

The fuzzy similarity matrix R (1) is established by absolute value subtraction-Euclidean distance, and it is shown in Equation (5):
r i j = { 1 , i = j 1 c × k = 1 m | x i k x j k | , i j }
where r i j indicates the similarity between x j and x i . r i j = R ( x i , x j ) , and 0 ≤ rij ≤ 1.

2.4.4. Fuzzy Similarity Equivalent Matrix

The square self-synthesis method is used to find the fuzzy similarity equivalent matrix, which is also called the dynamic clustering graph. Let the value of the fuzzy similarity matrix, which is greater than or equal to λ, be set to 1, otherwise set to 0, and merge the elements set to 1 into a class. We can control the number of clustering results by adjusting the value of λ (0 < λ < 1). Since the service level is usually divided into six levels, to facilitate the connection between the number of bicycle conflict events and the service levels, the value of λ is required to ensure that the number of event samples can be separated into nearly six categories.

3. Results

3.1. Clustering Results

After constant adjustment, it is finally determined that the value of λ is 0.9250. At this time, the number of events is subdivided into eight categories. Then, according to the above four steps, the program is compiled and calculated, and the results of sample fuzzy clustering can be obtained (Table 5).

3.2. Research on Service Levels Corresponding to Conflict Events in Each Catagory

This study analyzes road conditions and traffic flow conditions corresponding to each conflict event classification to obtain the service level represented by such conflict events. This paper describes the service level according to the following indicators.
(1)
Riding freedom: According to the descending order of riding freedom, it can be divided into free riding, basic free riding, restrictive riding, and obstructive riding. Among them, free riding means that the rider can freely choose the riding route and riding speed, and overtaking (meeting) events can occur; restricted riding means that the rider’s behavior of choosing the route, speed, and overtaking (meeting) is limited to some extent; obstructive riding means that riders cannot freely choose riding routes, riding speeds, overtaking (meeting) events, and other behaviors.
(2)
Comfort degree: It is a comprehensive index to express riding comfort, which is divided into comfortable, relatively comfortable, normal feeling, uncomfortable, and very uncomfortable according to the descending order of comfortable degree.
(3)
Smooth degree: According to the order of smooth degree of road sections from big to small, it can be divided into smooth, relatively smooth, and not smooth.
According to the sample data of various conflict events and the traffic load coefficient V/C, the road conditions and bicycle riding conditions corresponding to each interval are described, and the relationship between traffic conflict events and the service level is established.
Conflict events of the first category: The interval of events is [0.18, 1.28]. Investigation statistics of this kind of conflict events include 11 groups of samples, and the details are shown in Table 6.
In the table above, the total traffic flow rate of this set of data is less than 900 units/hour. Among them, the pedestrian flow is very small, basically kept below 150 units/hour, and the flow of electric vehicle does not exceed 550 units/hour. All data are measured on the road sections with a width of 5 m or more, and the number of lanes exceeds 4. According to the traditional calculation method of the traffic load coefficient, the v/c ratio of bicycles is distributed in [0.27, 0.38], with an average value of 0.32. The corresponding cycling conditions can be characterized as follows: Free riding, basically without interference, cyclists feel comfortable and the road condition is smooth.
The analytical principles of the other seven categories are similar to those of the first category. In summary, Table 7 illustrates the relationship between the bicycle service level and traffic conflict events of each category. Each service level corresponds to conflict events in a certain interval.

3.3. Optimized Classification

Table 7 only reflects the traffic characteristics of the sample itself, but in practical application, the physical characteristics of the shared-use path and the feelings of cyclists are taken into account, so we need to adjust the clustering results. The following principles should be observed during adjustment.
(1)
Give full consideration to the continuity and integrity of the number of events.
(2)
Avoid situation where the number of incidents is similar but the service level is very different, or the number of incidents is very different but the service level is similar. We need to combine and adjust the data intervals with similar traffic conditions.
(3)
Avoid abrupt changes in service levels between adjacent grades and similar service levels between different grades.
To sum up, the adjusted service level classification standards is shown in Table 8.

3.4. Application of Service Level Evaluation Model

Combined with Table 8, it can be seen that the bicycle riding state corresponding to the service level of level 4 and below is restricted riding and is greatly interfered with by other traffic modes on the road section. Traffic safety is also reduced and the rider feels uncomfortable. Therefore, it is considered to set up separation facilities to separate pedestrians from non-motor vehicles, so as to reduce interference, ensure safety, and improve comfort.
At the same time, considering the geometry and traffic conditions of the road, it is found that it is not suitable to set up separation facilities under the following conditions.
(1)
Slow traffic space does not meet the set conditions: When the road section width is less than 2.5 m (two lanes), the width of independent sidewalks or non-motor vehicle lanes cannot meet the minimum traffic space requirements, and the traffic efficiency and comfort are low.
(2)
The road section needs to meet certain traffic conditions: When the traffic flow of the road section is low, the proportion of pedestrians and non-motor vehicles is unbalanced or the distribution in peak hours is not synchronized, the sharing management model is more conducive to the effective use of road resources, and separation is not recommended. Therefore, the process of judging the setting conditions of isolation facilities in shared-use paths is given (Figure 3).
(1)
Find out the exact conditions of road sections, such as road width, effective width, length of road section, traffic volume, and composition of traffic mode. Then, it is judged whether the width of the road section is larger than 2.5.
(2)
If the width is less than 2.5 m, it is not recommended to set up pedestrian and non-motor vehicle separation facilities on the shared roads. Otherwise, it is necessary to judge the service level of road sections and further determine whether it is necessary to set up separation facilities.
(3)
Determine the number of bicycle conflict events on the road section, find out the corresponding event interval, and determine the corresponding service level according to Table 8. Then, judge whether the service level is Grade 4 or lower. If it belongs to Grade 4 or below, the sidewalks must be separated from non-motor vehicle lane. Otherwise, it is recommended not to divide shared lanes.

4. Discussion

In this study, the service level evaluation of shared-use paths under mixed flow conditions, including pedestrians, bicycles, and electric vehicles, is studied. Traffic conflicts that have a direct impact on the quality of road service are taken as the criteria for dividing the service level. Then, the correspondence between the number of conflict events and service levels is established, and the interval of the number of conflict events corresponding to each service level is found.
This study realizes a quantitative description of the traffic comfort of shared-use path, which makes the evaluation of service level more accurate. At the same time, the service level evaluation model can be applied to the setting conditions of pedestrian and non-motor vehicle isolation facilities, which indicates that the research has practical application ability and popularization value.

5. Conclusions

The setting of shared-use paths used by pedestrians, cyclists, and electric bicycle riders can effectively improve utilization efficiency of the slow-moving system. However, at present, the setting of this lane lacks a comprehensive and quantitative judgment on the service level of road sections.
In this study, the shared-use path used by pedestrians and non-motor vehicles was regarded as the research object, and the service level evaluation model of a shared lane was established based on the number of traffic conflicts. We chose four typical shared roads in Nanjing to carry out traffic investigation. Considering the occupation characteristics of different modes of transportation on shared roads, bicycles are selected as the evaluation object, and fuzzy cluster analysis was carried out on the survey samples, and the correlation between the number of conflict events and service levels is established according to the measured data. In addition, according to the actual traffic conditions of road sections, the classification standards of service levels at all levels and the corresponding range of incidents are discussed and adjusted. Then, we put forward the six-level classification standards for service levels. The corresponding relationship between the number of conflict events and the service level of a shared channel is established, and the service level can be quantitatively evaluated.
In this study, mixed traffic conditions were considered, and the traffic comfort of shared-use path was quantitatively described, which made the service level evaluation of road sections more accurate. At the same time, the evaluation model of service level can be applied to the setting conditions of isolation facilities. The research results of this paper provide a basis for the organization and optimal management of slow traffic.
This paper mainly studies the shared-use path from the perspective of traffic safety, and evaluates the service quality of road sections with the number of traffic conflicts, but does not deeply analyze the traffic efficiency of different traffic modes. However, the occurrence of conflicts is often accompanied by changes in speed and running track, which will bring certain changes in inefficiency to road users, and further research can be undertaken in this regard in the future.

Author Contributions

The authors confirm contribution to the paper as follows: Conceptualization, W.W.; Data curation, J.C.; Formal analysis, W.W.; Investigation, L.W. and S.Y.; Methodology, Z.S. and L.W.; Writing—original draft, W.W.; Writing—review & editing, Z.S., L.W., S.Y. and J.C. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National key R & D projects: Research on Network Configuration of Typical Facilities in County Towns Based on Total Carbon Efficiency, grant number 2018YFC0704704.

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

Table A1. Aggregated data of traffic conflicts events on shared-use paths.
Table A1. Aggregated data of traffic conflicts events on shared-use paths.
Data Number12345678910
Parameters
W (m)3.53.53.53.53.53.53.53.53.53.5
Q (units/h)9009009001100110011001300130013001300
Qeb (units/h)350350350350450550550550550650
Qcb (units/h)150250350150150250250250350250
Qp (units/h)150150150350150250150250250150
Q’p (units/h)150150150250250150350250250350
Bicycle conflict events (pieces)17.010.88.224.424.616.424.325.417.821.4
Data Number11121314151617181920
Parameters
W (m)3.53.53.53.53.53.53.53.53.53.5
Q (units/h)1500150015001500150015001500170017001700
Qeb (units/h)450450450550550650650750750850
Qcb (units/h)250250250350350250250350350350
Qp (units/h)350350550150250250250250350250
Q’p (units/h)450550250350250250350350350350
Bicycle conflict events (pieces)22.928.027.721.923.926.724.322.127.125.1
Data Number21222324252627282930
Parameters
W (m)3.63.63.63.63.63.63.63.63.63.6
Q (units/h)1300130015001500150015001500150015001500
Qeb (units/h)850950850950105010501050115011501150
Qcb (units/h)350350450450250350450250250350
Qp (units/h)15050150150250150505015050
Q’p (units/h)50505050505050505050
Bicycle conflict events (pieces)16.517.017.018.426.119.318.828.627.621.4
Data Number31323334353637383940
Parameters
W (m)3.63.63.63.63.63.63.63.655
Q (units/h)15001700170017001700170017001700700700
Qeb (units/h)11509509509501050105011501150350350
Qcb (units/h)350350450450350450350450150250
Qp (units/h)1502501502502502505015050150
Q’p (units/h)50505050505050505050
Bicycle conflict events (pieces)21.228.022.921.026.424.125.220.11.21.0
Data Number41424344454647484950
Parameters
W (m)5555555555
Q (units/h)70090090090090011001100110011001300
Qeb (units/h)350450450550550450550550750550
Qcb (units/h)250150250250250150250250150250
Qp (units/h)15050505015015050150150150
Q’p (units/h)1505015025015025015050150250
Bicycle conflict events (pieces)0.77.61.01.11.315.26.86.713.510.6
Data Number51525354555657585960
Parameters
W (m)5555555555
Q (units/h)1300130013001500150015001500150015001500
Qeb (units/h)550550650650650650650650650750
Qcb (units/h)250250250150450250250250250250
Qp (units/h)250350150350150250250350350250
Q’p (units/h)150150250250250250350250350150
Bicycle conflict events (pieces)10.912.711.120.47.615.316.115.313.714.1
Data Number61626364656667686970
Parameters
W (m)555.55.55.55.55.55.55.55.5
Q (units/h)1500150070070070090090090011001100
Qeb (units/h)750750350350350450450550450550
Qcb (units/h)250250150250250150250250150250
Qp (units/h)25035050150150505015015050
Q’p (units/h)250150505015050150150250150
Bicycle conflict events (pieces)14.814.20.20.20.96.30.70.312.35.0
Data Number71727374757677787980
Parameters
W (m)5.55.55.55.55.55.55.55.55.55.5
Q (units/h)1100110011001300130013001500150015001500
Qeb (units/h)550650750550550650650650650650
Qcb (units/h)250250150250250150250250250450
Qp (units/h)150150150250350350250350350150
Q’p (units/h)250250150150150250350250350250
Bicycle conflict events (pieces)5.35.412.58.810.214.312.614.013.76.0
Data Number818283
Parameters
W (m)5.55.55.5
Q (units/h)150015001500
Qeb (units/h)750750750
Qcb (units/h)250250250
Qp (units/h)250250350
Q’p (units/h)150250150
Bicycle conflict events (pieces)12.513.315.4
Table A2. Sample statistics of conflict events of the first category.
Table A2. Sample statistics of conflict events of the first category.
Data Number3940414344456364656768
Parameters
W (m)5555555.55.55.55.55.5
Q (units/h)700700700900900900700700700900900
Qeb (units/h)350350350450550550350350350450550
Qcb (units/h)150250250250250250150250250250250
Qp (units/h)5015015050501505015015050150
Q’p (units/h)50501501502501505050150150150
Bicycle conflict events (pieces)1.21.00.71.01.11.30.20.20.90.70.3
Table A3. Sample statistics of conflict events of the second category.
Table A3. Sample statistics of conflict events of the second category.
Data Number47486670717280
Parameters
W (m)555.55.55.55.55.5
Q (units/h)110011009001100110011001500
Qeb (units/h)550550450550550650650
Qcb (units/h)250250150250250250450
Qp (units/h)501505050150150150
Q’p (units/h)1505050150250250250
Bicycle conflict events (pieces)6.86.76.35.05.35.46.0
Table A4. Sample statistics of conflict events of the third category.
Table A4. Sample statistics of conflict events of the third category.
Data Number3425574
Parameters
W (m)3.5555.5
Q (units/h)90090015001300
Qeb (units/h)350450650550
Qcb (units/h)350150450250
Qp (units/h)15050150250
Q’p (units/h)15050250150
Bicycle conflict events (pieces)8.27.67.68.8
Table A5. Sample statistics of conflict events of the fourth category.
Table A5. Sample statistics of conflict events of the fourth category.
Data Number250515375
Parameters
W (m)3.55555.5
Q (units/h)9001300130013001300
Qeb (units/h)350550550650550
Qcb (units/h)250250250250250
Qp (units/h)150150250150350
Q’p (units/h)150250150250150
Bicycle conflict events (pieces)10.810.610.911.110.2
Table A6. Sample statistics of conflict events of the fifth category.
Table A6. Sample statistics of conflict events of the fifth category.
Data Number16921222324262746
Parameters
W (m)3.53.53.53.63.63.63.63.63.65
Q (units/h)900110013001300130015001500150015001100
Qeb (units/h)35055055085095085095010501050450
Qcb (units/h)150250350350350450450350450150
Qp (units/h)1502502501505015015015050150
Q’p (units/h)150150250505050505050250
Bicycle conflict events (pieces)17.016.417.816.517.017.018.419.318.815.2
Data Number49525657585960616269
Parameters
W (m)5555555555.5
Q (units/h)1100130015001500150015001500150015001100
Qeb (units/h)750550650650650650750750750450
Qcb (units/h)150250250250250250250250250150
Qp (units/h)150350250250350350250250350150
Q’p (units/h)150150250350250350150250150250
Bicycle conflict events (pieces)13.512.715.316.115.313.714.114.814.212.3
Data Number7376777879818283
Parameters
W (m)5.55.55.55.55.55.55.55.5
Q (units/h)11001300150015001500150015001500
Qeb (units/h)750650650650650750750750
Qcb (units/h)150150250250250250250250
Qp (units/h)150350250350350250250350
Q’p (units/h)150250350250350150250150
Bicycle conflict events (pieces)12.514.312.614.013.712.513.315.4
Table A7. Sample statistics of conflict events of the sixth category.
Table A7. Sample statistics of conflict events of the sixth category.
Data Number1014183031343854
Parameters
W (m)3.53.53.53.63.63.63.65
Q (units/h)13001500170015001500170017001500
Qeb (units/h)650550750115011509501150650
Qcb (units/h)250350350350350450450150
Qp (units/h)15015025050150250150350
Q’p (units/h)35035035050505050250
Bicycle conflict events (pieces)21.421.922.121.421.221.020.120.4
Table A8. Sample statistics of conflict events of the seventh and eighth category.
Table A8. Sample statistics of conflict events of the seventh and eighth category.
Data Number4578111213151617
Parameters
W (m)3.53.53.53.53.53.53.53.53.53.5
Q (units/h)1100110013001300150015001500150015001500
Qeb (units/h)350450550550450450450550650650
Qcb (units/h)150150250250250250250350250250
Qp (units/h)350150150250350350550250250250
Q’p (units/h)250250350250450550250250250350
Bicycle conflict events (pieces)24.424.624.325.422.928.027.723.926.724.3
Data Number19202528293233353637
Parameters
W (m)3.53.53.63.63.63.63.63.63.63.6
Q (units/h)1700170015001500150017001700170017001700
Qeb (units/h)750850105011501150950950105010501150
Qcb (units/h)350350250250250350450350450350
Qp (units/h)3502502505015025015025025050
Q’p (units/h)3503505050505050505050
Bicycle conflict events (pieces)27.125.126.128.627.628.022.926.424.125.2

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Figure 1. Schematic diagram of urban shared-use paths.
Figure 1. Schematic diagram of urban shared-use paths.
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Figure 2. Schematic diagram of traffic conflicts on Shared-use path. (a) All conflict events only consider the overtaking (meeting) events occurring in adjacent lanes (1 m is specified as the width of a single lane). For several traffic entities that overtake (meet) in parallel at the same time, it is considered that the overtaking (meeting) events will not affect them. Overtaking (meeting) traffic users on one side of adjacent lanes is counted as a conflict event (Figure 2a); (b) Figure 2b shows that overtaking (meeting) traffic entities in adjacent lanes on both sides is regarded as two conflicting events; (c) If the overtaking (meeting) event occurs at a lateral distance greater than l meter, the number of events is not counted (Figure 2c).
Figure 2. Schematic diagram of traffic conflicts on Shared-use path. (a) All conflict events only consider the overtaking (meeting) events occurring in adjacent lanes (1 m is specified as the width of a single lane). For several traffic entities that overtake (meet) in parallel at the same time, it is considered that the overtaking (meeting) events will not affect them. Overtaking (meeting) traffic users on one side of adjacent lanes is counted as a conflict event (Figure 2a); (b) Figure 2b shows that overtaking (meeting) traffic entities in adjacent lanes on both sides is regarded as two conflicting events; (c) If the overtaking (meeting) event occurs at a lateral distance greater than l meter, the number of events is not counted (Figure 2c).
Sustainability 12 07578 g002
Figure 3. Flow chart of judging conditions for setting isolation facilities on shared-use paths.
Figure 3. Flow chart of judging conditions for setting isolation facilities on shared-use paths.
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Table 1. Survey data summary table.
Table 1. Survey data summary table.
Data TypeData ContentAcquisition Method
Static DataThe width of shared-use pathsTape measure
The width of road sections
Dynamic DataTraffic compositionVideo recording or manual counting
Traffic flow in all modes
Traffic conflict events
Table 2. Basic information of survey sections.
Table 2. Basic information of survey sections.
Road NumberRoad NameRoad GradeWidth (m)Section Length (m)Road Surrounding Environment
1Jinxiang River Road (East Side)Secondary trunk road3.5195Hotels, schools, and military regions
2Zhujiang Road (north side)Main road5205Electronics, business
3Beijing East Road (south side)Main road3.6334Leisure and entertainment
4Taiping North Road (East Side)Main road5.5167Business, entertainment
Table 3. List of traffic conflict types of different modes of transportation.
Table 3. List of traffic conflict types of different modes of transportation.
Main Object of ConflictConflict Type
PedestriansOvertaken by bicycles
Overtaken by electric vehicles
Meeting opposite pedestrians
Meeting opposite bicycles
Meeting opposite electric vehicles
BicyclesOvertaking pedestrians
Overtaking bicycles
Overtaken by electric vehicles
Meeting opposite pedestrians
Electric vehiclesOvertaking pedestrians
Overtaking bicycles
Overtaking electric vehicles
Meeting opposite pedestrians
Table 4. Aggregated data of traffic conflicts events on shared-use paths.
Table 4. Aggregated data of traffic conflicts events on shared-use paths.
Data Number123456789
Parameters
W (m)3.53.53.53.53.53.53.53.53.5
Q (units/h)900900900110011001100130013001500
Qeb (units/h)350350350350450550550550450
Qcb (units/h)150250350150150250250250250
Qp (units/h)150150150350150250150250350
Q’p (units/h)150150150250250150350250450
Bicycle conflict events (pieces)17.010.88.224.424.616.424.325.422.9
Note: (1) The number of bicycle conflicts here is the sum of the number of bicycles overtaking pedestrians, the number of bicycles overtaken by bicycles and electric vehicles, and the number of bicycles encountering opposite pedestrians. (2) Details of 83 types of summary data are shown in Appendix A.
Table 5. Sample fuzzy clustering results.
Table 5. Sample fuzzy clustering results.
Conflict Number IntervalCategory
[0.18, 1.28]1
[5.03, 6.77]2
[7.59, 8.79]3
[10.19, 11.06]4
[12.34, 19.27]5
[20.05, 22.14]6
[22.90, 22.91]7
[23.92, 28.59]8
Note: Sample statistics of various intervals of traffic conflict events are shown in Appendix A.
Table 6. Sample statistics of conflict events of the first category.
Table 6. Sample statistics of conflict events of the first category.
Data Number3940414344456364656768
Parameters
W (m)5555555.55.55.55.55.5
Q (units/h)700700700900900900700700700900900
Qeb (units/h)350350350450550550350350350450550
Qcb (units/h)150250250250250250150250250250250
Qp (units/h)5015015050501505015015050150
Q’p (units/h)50501501502501505050150150150
Bicycle conflict events (pieces)1.21.00.71.01.11.30.20.20.90.70.3
Table 7. Division standard of initial bicycle service level.
Table 7. Division standard of initial bicycle service level.
CategoryConflict Number IntervalTraffic Load (V/C)State Description
1[0.18, 1.28][0.27, 0.38]Free riding, basically without interference, cyclists feel comfortable and the road condition is smooth
2[5.03, 6.77][0.34, 0.57]Basic free riding, with little interference, cyclists feel normal, and the road condition is relatively smooth
3[7.59, 8.79][0.40, 0.67]Restricted riding, with much interference, cyclists feel uncomfortable, and the road is not smooth
4[10.19, 11.06][0.52, 0.58]Restricted riding, with much interference, cyclists feel uncomfortable, and the road is not smooth
5[12.34, 19.27][0.44, 0.97]Restricted riding, with great interference, cyclists feel uncomfortable, and the road is not smooth
6[20.05, 22.14][0.61, 1.03]Restricted riding, serious interference, cyclists feel very uncomfortable, and the road is not smooth
7[22.90, 28.59][0.70, 1.08]Obstructive riding, serious interference, cyclists feel very uncomfortable, the road is not smooth
Table 8. Recommended bicycle service level standards on urban shared sections.
Table 8. Recommended bicycle service level standards on urban shared sections.
Service Level GradeEvent Number RangeState Description
Level 1[0, 2.5)Riding freely, basically without interference, cyclists feel comfortable and the road condition is smooth
Level 2[2.5, 5.0)Riding freely, with little interference, cyclists feel more comfortable and the road condition is smooth
Grade 3[5.0, 7.0)Riding is basically free, with little interference, cyclists feel comfortable and the road condition is smooth
Level 4[7.0, 12.0)Restricted riding, with much interference, and cyclists feel uncomfortable and the road condition is not smooth
Grade 5[11.0, 20.0)Restricted riding, with great interference, cyclists feel uncomfortable and the road condition is not smooth
Grade 6[20.0, +∞)Restricted riding, serious interference, cyclists feel very uncomfortable and the road condition is not smooth
Note: The number of events refers to the average number of events per minute experienced by each bicycle in the bicycle traffic flow on a given urban road section.

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MDPI and ACS Style

Wang, W.; Sun, Z.; Wang, L.; Yu, S.; Chen, J. Evaluation Model for the Level of Service of Shared-Use Paths Based on Traffic Conflicts. Sustainability 2020, 12, 7578. https://doi.org/10.3390/su12187578

AMA Style

Wang W, Sun Z, Wang L, Yu S, Chen J. Evaluation Model for the Level of Service of Shared-Use Paths Based on Traffic Conflicts. Sustainability. 2020; 12(18):7578. https://doi.org/10.3390/su12187578

Chicago/Turabian Style

Wang, Wei, Zhentian Sun, Liya Wang, Shanshan Yu, and Jun Chen. 2020. "Evaluation Model for the Level of Service of Shared-Use Paths Based on Traffic Conflicts" Sustainability 12, no. 18: 7578. https://doi.org/10.3390/su12187578

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