# Impact Analysis of Land Use on Traffic Congestion Using Real-Time Traffic and POI

Authors: Tianqi Zhang; Lishan Sun; Liya Yao; Jian Rong
Journal: Journal of Advanced Transportation
 (2017)

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## Abstract

This paper proposed a new method to describe, compare, and classify the traffic congestion points in Beijing, China, by using the online map data and further revealed the relationship between traffic congestion and land use. The data of the point of interest (POI) and the real-time traffic was extracted from an electronic map of the area in the fourth ring road of Beijing. The POIs were quantified based on the architectural area of the land use; the congestion points were identified based on real-time traffic. Then, the cluster analysis using the attributes of congestion time was conducted to identify the main traffic congestion areas. The result of a linear regression analysis between the congestion time and the land use showed that the influence of the high proportion of commercial land use on the traffic congestion was significant. Also, we considered five types of land use through performing a linear regression analysis between the congestion time and the ratio of four types of land use. The results showed that the reasonable ratio of land use types could efficiently reduce congestion time. This study makes contributions to the policy-making of urban land use.


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## Body

## 1. Introduction

As the urbanization of China is accelerating, the expense of urban land leads to excessive concentration of public functions, causing the growing occurrences of congestions in urban traffic. The land use affects the attracted direction, the ratio of traffic flow, and the travel model, which are the factors related to public traffic demand. Reasonably planning urban land is essential to ensure the efficient operation of urban traffic. Therefore, understanding the correlation between the land use and the traffic congestions can help optimize urban traffic.The traffic data on congestions involves large-scale and complex space-time information, making mining the traffic data difficult. Besides, the source of the traffic data is not readily available. Previous studies [1–6] have focused on traffic flow through traditional methods (conventional four-step travel demand model) without considering geographic information (the coordinates of longitude and latitude, the categories, and the specific location information). The traditional four-step travel demand model typically operates on the individual survey data that is of high cost, low accuracy, and low efficiency. So it is necessary for us to develop a method of judging congestion point using geographic information systems (GIS), which serves as a quick, precise alternative to the conventional four-step models.In literature, limited models on traffic congestions have been proposed to investigate the relation between traffic congestions and urban land use. For example, Wingo Lowdon established the economic model on how transportation, location, and urban land use affected the travel of consumers from their residences to workplaces [7]. Alonso [8] improved this model by considering the value of the urban land, finding that the value of different urban plots was negatively correlated to the transportation cost to the city center. Izraeli and McCarthy [9] (1985) found that the residential land had an effect on congestion; there was a significant positive correlation between population density and commuting time. Handy [10] analyzed the impact of land use on travel characteristics and discovered that the frequency of traveling decreased as the density of land use increased and that the distance of traveling increased as the speed of traveling decreased. Gordon et al. [11] (1989) analyzed satellite data of 82 US metropolitan areas in 1980 to extract the information on the densities of different types of the land use (the type of the resident, the industry, and the commerce). When considering the employment rate at that time, it was found that the increment of the industrial density would lower the car commuting time, as well as the residential and commercial densities. Ewing et al. [12] (2003) investigated the impact of land use on commuting time and pedestrian delay using cross-sectional data of 83 metropolitan statistical areas at the years of 1990 and 2000. The results showed that the commuting time during these two years was negatively correlated with the mixed land utilization index and was positively correlated with the street accessibility.Unlike the urban land attribute data that is complex for analyzing and classifying, the point of interest (POI) data, which is closely related to urban land attributes and urban planning guidance, can be easily quantified and analyzed. Yu and Ai [13] discussed the characteristics of the spatial distribution of urban POI data and proposed a model to estimate network kernel density for providing guidance to land planning. Ma et al. [14] proposed a visual search model for POIs of highway transportation to help reduce the costs of transportation. Liu et al. [15] computed the attractiveness of POIs according to the number of times of taxis stopping nearby the POIs.No literature has integrated the real-time traffic data to the POI data. Using the urban road network data, the real-time traffic data, and the POI data, this study explored the correlation between traffic congestion and different attributes of urban land use and established the evolution of urban traffic congestion geographic model. The outcomes of this study would contribute to the policy-making in the planning of urban land use.


## 2. Introduce and Extraction of POI

### 2.1. Introduce of POI

In a Geographic Information System, the POIs include the houses, the scenic spots, the shops, and the mailbox. The data from the POIs contains the coordinates of the longitude and latitude, the categories, the specific location information, and the User Identification (UID). This study used the electronic map of Beijing POIs since it recorded an enormous amount of information on city locations.


### 2.2. Classification and Extraction of POI

The default classification of Beijing POIs is of 16 categories as the first class and 96 categories as the second class, most of which are not related to the traveling of residents. This study conducted a detailed survey to obtain a better classification of Beijing POIs well representing resident travel purposes. The result shows that “work,” “school,” “shopping,” “leisure,” and “return home” are the primary traveling purposes of Beijing residents, accounting for about 85% of the total travel, as listed in Table1. Thus, new categories of POI for classification, including education, work, shopping, residential, and recreation, were created, as shown in Table 2.Table 1
Proportions of residents travel purpose in Beijing (2014).
Travel purpose
Percentage
Cumulative percentage
Commuting to work
36.34%
36.34%
Returning
28.13%
64.47%
Commuting to school
7.88%
72.35%
Shopping
6.96%
79.31%
Leisure
6.44%
85.75%
Picking/taking somebody up
3.20%
88.95%
Business affairs
3.18%
92.13%
Visiting friends
3.05%
95.18%
Personal affairs
2.51%
97.69%
Delivery and pickup
1.97%
99.66%Table 2
Classification of POI based on main travel purpose.
Original type
New type
Corresponding trip purpose
Education
Preprimary education
Education
Going to school
Elementary education
Secondary education
Higher education
Firm
Work
Going to work
Business
Retail store
Shopping
Shopping
Outlet
Real estate community
Reside
Return trip
Leisure and recreation
Leisure
RecreationThis study also extracts about 90,000 POIs within fourth ring road in Beijing using web-crawler software. The POI data, which contained four types of information, name, category, longitude, and latitude, were processed to determine characteristics of land use for revealing the relationship between traffic congestion and different types of land use.


### 2.3. Quantization of the POI

The quantization of POI focuses on the architectural area, which is the main city index for planning stage and objectively reflects current indexes of the population, jobs, the social economy, and the development of specific regions. Because of the large number of POIs, it is not practical to conduct an investigation using all POIs in the architectural area. Hence, POIs were randomly sampled for investigating. The sampling sizen is calculated according to the following equation:(1)n=P1-Pe2/Z2+P1-P/N,where e is the percentage of expected error, Z is the bilateral quantiles corresponding to a particular confidence, P is the degree of sample variation, and N is the population number. In this study, we assume that e is 10% and Z is 1.64 (the confidence is 90%). Since the degree of sample variation is unknown, let the maximum value of P be 0.5. After applying the above values to (1), the maximum samples rate is 14.0% and the minimum is 0.3%. Based on the above calculation, 58–67 POIs for each type of land use were randomly selected in the field survey in May 2016. Table 3 lists the specific sampling rates of various types of land use.Table 3
Sampling questionnaire of various land uses.
Classification
Total number
Sampling number
Ratio
Preprimary education
1499
64
4.3%
Elementary education
976
63
6.5%
Secondary education
1435
64
4.5%
Higher education
416
58
14.0%
Firm
19276
67
0.3%
Retail store
5884
66
1.1%
Outlet
6037
66
1.1%
Residential
8358
67
0.8%
Leisure and recreation
8225
67
0.8%
Sum
52106
582
1.1%The investigation methods included network inquiry, telephone inquiries, site investigation, and site inquiries. Table4 shows the data format. Table 5 lists the average architectural area of each type of land use calculated based on the survey results. The total architectural area in every congestion region was calculated according to the number of instances of each type of POIs in this region, which provides conditions for analysis of the correlation between congestion points and land use in its coverage.Table 4
The data format of the architectural area of POI.
Object ID
POI name
Type
Construction area/m2
3089
The Art Museum of H.M
Leisure
1000
3090
Mosque
Leisure
500
3091
Sihui Karting Club
Leisure
2000
3092
Tsinghua University
Education
16000
3093
Peking University
Education
18000
3094
Beijing forth school
Education
3000
3095
Tiananmen Square
Leisure
2000
3096
Dongdan Park
Leisure
1500
3097
National Museum
Leisure
2000
3098
Sihui Shopping Plaza
Business
1600
3099
New World Wholesale Mall
Business
1700
3100
China Central Academy of Fine Arts
Education
7000
3101
China World Trade Center Exhibition Hall
Leisure
2000
3102
Beijing Economic and Trade Company
Company
700
3103
Haidian Primary School
Education
1500Table 5
Average architectural area of all types of POI.
Original type
New type
Average construction area/m2
Education
Preprimary education
Education
3715
Elementary education
6782
Secondary education
37936
Higher education
170772
Company
Work
2399
Business
Retail store
Shopping
254
Outlet
56756
Real estate community
Residential
149686
Leisure and recreation
Leisure
4518


## 2.1. Introduce of POI

In a Geographic Information System, the POIs include the houses, the scenic spots, the shops, and the mailbox. The data from the POIs contains the coordinates of the longitude and latitude, the categories, the specific location information, and the User Identification (UID). This study used the electronic map of Beijing POIs since it recorded an enormous amount of information on city locations.


## 2.2. Classification and Extraction of POI

The default classification of Beijing POIs is of 16 categories as the first class and 96 categories as the second class, most of which are not related to the traveling of residents. This study conducted a detailed survey to obtain a better classification of Beijing POIs well representing resident travel purposes. The result shows that “work,” “school,” “shopping,” “leisure,” and “return home” are the primary traveling purposes of Beijing residents, accounting for about 85% of the total travel, as listed in Table1. Thus, new categories of POI for classification, including education, work, shopping, residential, and recreation, were created, as shown in Table 2.Table 1
Proportions of residents travel purpose in Beijing (2014).
Travel purpose
Percentage
Cumulative percentage
Commuting to work
36.34%
36.34%
Returning
28.13%
64.47%
Commuting to school
7.88%
72.35%
Shopping
6.96%
79.31%
Leisure
6.44%
85.75%
Picking/taking somebody up
3.20%
88.95%
Business affairs
3.18%
92.13%
Visiting friends
3.05%
95.18%
Personal affairs
2.51%
97.69%
Delivery and pickup
1.97%
99.66%Table 2
Classification of POI based on main travel purpose.
Original type
New type
Corresponding trip purpose
Education
Preprimary education
Education
Going to school
Elementary education
Secondary education
Higher education
Firm
Work
Going to work
Business
Retail store
Shopping
Shopping
Outlet
Real estate community
Reside
Return trip
Leisure and recreation
Leisure
RecreationThis study also extracts about 90,000 POIs within fourth ring road in Beijing using web-crawler software. The POI data, which contained four types of information, name, category, longitude, and latitude, were processed to determine characteristics of land use for revealing the relationship between traffic congestion and different types of land use.


## 2.3. Quantization of the POI

The quantization of POI focuses on the architectural area, which is the main city index for planning stage and objectively reflects current indexes of the population, jobs, the social economy, and the development of specific regions. Because of the large number of POIs, it is not practical to conduct an investigation using all POIs in the architectural area. Hence, POIs were randomly sampled for investigating. The sampling sizen is calculated according to the following equation:(1)n=P1-Pe2/Z2+P1-P/N,where e is the percentage of expected error, Z is the bilateral quantiles corresponding to a particular confidence, P is the degree of sample variation, and N is the population number. In this study, we assume that e is 10% and Z is 1.64 (the confidence is 90%). Since the degree of sample variation is unknown, let the maximum value of P be 0.5. After applying the above values to (1), the maximum samples rate is 14.0% and the minimum is 0.3%. Based on the above calculation, 58–67 POIs for each type of land use were randomly selected in the field survey in May 2016. Table 3 lists the specific sampling rates of various types of land use.Table 3
Sampling questionnaire of various land uses.
Classification
Total number
Sampling number
Ratio
Preprimary education
1499
64
4.3%
Elementary education
976
63
6.5%
Secondary education
1435
64
4.5%
Higher education
416
58
14.0%
Firm
19276
67
0.3%
Retail store
5884
66
1.1%
Outlet
6037
66
1.1%
Residential
8358
67
0.8%
Leisure and recreation
8225
67
0.8%
Sum
52106
582
1.1%The investigation methods included network inquiry, telephone inquiries, site investigation, and site inquiries. Table4 shows the data format. Table 5 lists the average architectural area of each type of land use calculated based on the survey results. The total architectural area in every congestion region was calculated according to the number of instances of each type of POIs in this region, which provides conditions for analysis of the correlation between congestion points and land use in its coverage.Table 4
The data format of the architectural area of POI.
Object ID
POI name
Type
Construction area/m2
3089
The Art Museum of H.M
Leisure
1000
3090
Mosque
Leisure
500
3091
Sihui Karting Club
Leisure
2000
3092
Tsinghua University
Education
16000
3093
Peking University
Education
18000
3094
Beijing forth school
Education
3000
3095
Tiananmen Square
Leisure
2000
3096
Dongdan Park
Leisure
1500
3097
National Museum
Leisure
2000
3098
Sihui Shopping Plaza
Business
1600
3099
New World Wholesale Mall
Business
1700
3100
China Central Academy of Fine Arts
Education
7000
3101
China World Trade Center Exhibition Hall
Leisure
2000
3102
Beijing Economic and Trade Company
Company
700
3103
Haidian Primary School
Education
1500Table 5
Average architectural area of all types of POI.
Original type
New type
Average construction area/m2
Education
Preprimary education
Education
3715
Elementary education
6782
Secondary education
37936
Higher education
170772
Company
Work
2399
Business
Retail store
Shopping
254
Outlet
56756
Real estate community
Residential
149686
Leisure and recreation
Leisure
4518


## 3. Introduce and Extraction of Real-Time Traffic

### 3.1. Real-Time Traffic Profile

The road states in the real-time traffic information from web search engines are the congestion, amble, and smooth, which have colors of red, yellow, and green, respectively, reflecting the traffic conditions in the region. The map application (GPS or smartphone) uses the information of the road states to navigate roads and plan the trips for drivers.


### 3.2. Real-Time Traffic Data Acquisition and Processing

Map images on the web search engines are composed of different layers: the bottom layer displays basic geographic information; the middle layer shows names, comments, and other information of different venues; the upper layer (it was used in this study) contains traffic information depicted with colors red, yellow, and green. We downloaded all blocks of the upper layer and then spliced them according to their naming rules, generating a map containing the real-time network running state for a particular area. The real-time data were collected every 5 minutes, a total of 60 times a day, at weekday morning and evening peak in the first week of March 2016. Note that Beijing City morning peak period is 7:00 am–9:30 am and evening peak period is 17:00 pm–19:30 pm. The weather in that week was sunny without rain, snow, or other unusual weather conditions. Figure1 shows the data format of real-time traffic. Table 6 lists the schematic color-codes of congestion levels.Table 6
The schematic color codes of congestion levels.
Congestion levels
Color code
Color sample
Red (congestion)
243, 48, 48
Yellow (amble)
255, 158, 25
Green (smooth)
23, 191, 0Figure 1
The schematic of real-time road traffic on working day morning peak.After collecting the real-time traffic data, we manually processed the data as vectors and then stored them in the format of SHP layer. The lines were divided into intervals every 50 m; attribute values of the colors of the green, yellow, and amble/red were read as 1, 2, and 3, representing road states of smooth, medium smooth, and congestion. A program written in Python programming language was created to evaluate the pixels and the discrete points in the vector layer with pigment. As an example, Figure2 shows the vector points with the road information layer on a working day at 17:00.Figure 2
The schematic of traffic vector on working day morning peak.Congestion time is an evaluation index of congestion for reflecting congestion intensity. The change forms of congestion properties about one congestion point in the adjacent moment are 1-3, 2-3, and 3-3, respectively, denoted as a five-minute jam. The three forms of the point represent that the state turns from smooth passing to congestion and from slow passing to congestion and is in continuous congestion.Based on the real-time traffic data, the vector attribute table of congestion properties at different time instances was obtained. The Python program superposed the congestion time into single accumulated time per hours per morning/evening peak.


## 3.1. Real-Time Traffic Profile

The road states in the real-time traffic information from web search engines are the congestion, amble, and smooth, which have colors of red, yellow, and green, respectively, reflecting the traffic conditions in the region. The map application (GPS or smartphone) uses the information of the road states to navigate roads and plan the trips for drivers.


## 3.2. Real-Time Traffic Data Acquisition and Processing

Map images on the web search engines are composed of different layers: the bottom layer displays basic geographic information; the middle layer shows names, comments, and other information of different venues; the upper layer (it was used in this study) contains traffic information depicted with colors red, yellow, and green. We downloaded all blocks of the upper layer and then spliced them according to their naming rules, generating a map containing the real-time network running state for a particular area. The real-time data were collected every 5 minutes, a total of 60 times a day, at weekday morning and evening peak in the first week of March 2016. Note that Beijing City morning peak period is 7:00 am–9:30 am and evening peak period is 17:00 pm–19:30 pm. The weather in that week was sunny without rain, snow, or other unusual weather conditions. Figure1 shows the data format of real-time traffic. Table 6 lists the schematic color-codes of congestion levels.Table 6
The schematic color codes of congestion levels.
Congestion levels
Color code
Color sample
Red (congestion)
243, 48, 48
Yellow (amble)
255, 158, 25
Green (smooth)
23, 191, 0Figure 1
The schematic of real-time road traffic on working day morning peak.After collecting the real-time traffic data, we manually processed the data as vectors and then stored them in the format of SHP layer. The lines were divided into intervals every 50 m; attribute values of the colors of the green, yellow, and amble/red were read as 1, 2, and 3, representing road states of smooth, medium smooth, and congestion. A program written in Python programming language was created to evaluate the pixels and the discrete points in the vector layer with pigment. As an example, Figure2 shows the vector points with the road information layer on a working day at 17:00.Figure 2
The schematic of traffic vector on working day morning peak.Congestion time is an evaluation index of congestion for reflecting congestion intensity. The change forms of congestion properties about one congestion point in the adjacent moment are 1-3, 2-3, and 3-3, respectively, denoted as a five-minute jam. The three forms of the point represent that the state turns from smooth passing to congestion and from slow passing to congestion and is in continuous congestion.Based on the real-time traffic data, the vector attribute table of congestion properties at different time instances was obtained. The Python program superposed the congestion time into single accumulated time per hours per morning/evening peak.


## 4. Congestion Distinguishing and Influence Scope

### 4.1. Congestion Points Discrimination and Its Spatial Distribution

The road traffic status is only affected by a previous step time or a forward direction on the road. From the time dimension, congestion is divided into primary congestion and secondary congestion. The primary congestion point has an increasing congestion intensity, while the segment ahead of it has the same or reduced congestion intensity. On the contrary, the secondary congestion point has a growing congestion intensity, while the segment ahead of it also has an increasing congestion intensity. Following the above definition, the types of the congestion points are related to the time variance and the adjacent spatial space. However, a congestion point in a vector layer is discrete, and the adjacent spatial space is unsearchable. Therefore, it is necessary to record the topological relationship among points by the actual traffic flow direction.The directions of the road traffic flows were monitored on the electronic map; the discrete points were edited. The road point attribute at the end of the traffic flow was marked as “0,” because the roads were not completely closed.Based on the above definition, this paper set up criteria for the types of congestion points. LetCi(t) be the degree of congestion in road point i at the tth time and road point j be the segment ahead of road point i. A decision tree is constructed as is shown in Figure 3. When Ci(t)≤Ci(t-1), the road point i is not a congestion point; when Ci(t)>Ci(t-1), it is necessary to consider the degree of congestion in road point j to judge the type of congestion. If Cj(t)≤Cj(t-1), the road point i will be defined as primary congestion point; vice versa, if Cj(t)>Cj(t-1), the road point i will be defined as secondary congestion point.Figure 3
Congestion point criterion.The Python program modeled the criteria tree for simulating the real-time traffic at morning and evening peaks. A distribution map of congestion points at the morning and evening peaks was also generated, as shown in Figure4.Figure 4
Primary congestion points in workday morning and evening peak.According to a sample survey in the city of Beijing, the public considers a congestion time longer than 65 minutes being extremely unacceptable and a congestion time shorter than 30 minutes being acceptable. Hence, we grouped the congestion time into 65, 95, 125, 155, 185, 215, and 245 minutes with 30 minutes as the interval. The congestion points with congestion time longer than 65 minutes were extracted for visualization. Figure5 presents the visualization of the congestion time at the morning and evening peaks in Beijing. Within the 2nd ring of Beijing, ITC, the commercial districts of Asian, Xidan, Wangfujing, and Zhongguancun had severe congestion. And the regions of Songjiazhuang, Fangzhuang, and Dahongmen, which are residential and recreation districts in Beijing, had slight congestion. It is hypothesized that the congestion intensity is related to the proportion of different land types. Thus, the congestion time was used to cluster the congestion points.Figure 5
Visual diagram for accumulative total congestion time at morning and evening peaks.


### 4.2. Congestion Influence Scope Based on Space Clustering

Clustering is the method to take objects into the same group according to spatial and temporal similarity to maximize the between-group difference and minimize the within-group difference. The cluster results can discover and analyze the law and essential features of the development and change of geographical phenomena.This study used the congestion time attributes of the congestion points to cluster the congestion areas. The interpolation method was used to make the clustering more reasonable and close to the real situation in the whole space. The method preprocessed the discrete data, generating a continuous fitting curve. The gaps between the pixels of the image transformation were filled using the Kriging interpolation method, which requires prerequisite knowledge of observations or statistical values of a particular property (such as temperature, altitude, or congestion time) of several discrete pointsxi,yi in space. The Kriging interpolation method has advantages of superiority and high accuracy in fitting discrete points, as explained by(2)z^0=∑i=0nλizi,where z^0 is the estimated value of point x0,y0 and λi is weight coefficient estimated as the value of unknown point using the space of all known points on the weighted sum data. It is also an optimal coefficient to meet the minimum difference within the estimate x0,y0 of the real value of z0(3)min⁡λi=Varz^0-z0and satisfying the condition of unbiased estimation: (4)Ez^0-z0=0.The congestion points in Beijing with the congestion time 65 minutes or longer were clustered. The primary congestion points directly affected the secondary congestion points; the relationship with the proportion of land use was not strong. Hence, the secondary congestion points were not considered, and only the primary congestion points were analyzed in this paper. Figure6 presents the cluster results about the congestion time of the primary congestion points. Table 7 lists the clustering results using the average congestion time of each area as the dependent variable.Table 7
Clustering result based on congestion time.
Classification
Congestion time interval/min
Average congestion time/min
1
0–65
41.7
2
65–95
81.6
3
95–125
107.2
4
125–155
146.9
5
155–185
165.4
6
185–215
193.6
7
215–245
232.2Figure 6
Spatiotemporal clustering graph.


## 4.1. Congestion Points Discrimination and Its Spatial Distribution

The road traffic status is only affected by a previous step time or a forward direction on the road. From the time dimension, congestion is divided into primary congestion and secondary congestion. The primary congestion point has an increasing congestion intensity, while the segment ahead of it has the same or reduced congestion intensity. On the contrary, the secondary congestion point has a growing congestion intensity, while the segment ahead of it also has an increasing congestion intensity. Following the above definition, the types of the congestion points are related to the time variance and the adjacent spatial space. However, a congestion point in a vector layer is discrete, and the adjacent spatial space is unsearchable. Therefore, it is necessary to record the topological relationship among points by the actual traffic flow direction.The directions of the road traffic flows were monitored on the electronic map; the discrete points were edited. The road point attribute at the end of the traffic flow was marked as “0,” because the roads were not completely closed.Based on the above definition, this paper set up criteria for the types of congestion points. LetCi(t) be the degree of congestion in road point i at the tth time and road point j be the segment ahead of road point i. A decision tree is constructed as is shown in Figure 3. When Ci(t)≤Ci(t-1), the road point i is not a congestion point; when Ci(t)>Ci(t-1), it is necessary to consider the degree of congestion in road point j to judge the type of congestion. If Cj(t)≤Cj(t-1), the road point i will be defined as primary congestion point; vice versa, if Cj(t)>Cj(t-1), the road point i will be defined as secondary congestion point.Figure 3
Congestion point criterion.The Python program modeled the criteria tree for simulating the real-time traffic at morning and evening peaks. A distribution map of congestion points at the morning and evening peaks was also generated, as shown in Figure4.Figure 4
Primary congestion points in workday morning and evening peak.According to a sample survey in the city of Beijing, the public considers a congestion time longer than 65 minutes being extremely unacceptable and a congestion time shorter than 30 minutes being acceptable. Hence, we grouped the congestion time into 65, 95, 125, 155, 185, 215, and 245 minutes with 30 minutes as the interval. The congestion points with congestion time longer than 65 minutes were extracted for visualization. Figure5 presents the visualization of the congestion time at the morning and evening peaks in Beijing. Within the 2nd ring of Beijing, ITC, the commercial districts of Asian, Xidan, Wangfujing, and Zhongguancun had severe congestion. And the regions of Songjiazhuang, Fangzhuang, and Dahongmen, which are residential and recreation districts in Beijing, had slight congestion. It is hypothesized that the congestion intensity is related to the proportion of different land types. Thus, the congestion time was used to cluster the congestion points.Figure 5
Visual diagram for accumulative total congestion time at morning and evening peaks.


## 4.2. Congestion Influence Scope Based on Space Clustering

Clustering is the method to take objects into the same group according to spatial and temporal similarity to maximize the between-group difference and minimize the within-group difference. The cluster results can discover and analyze the law and essential features of the development and change of geographical phenomena.This study used the congestion time attributes of the congestion points to cluster the congestion areas. The interpolation method was used to make the clustering more reasonable and close to the real situation in the whole space. The method preprocessed the discrete data, generating a continuous fitting curve. The gaps between the pixels of the image transformation were filled using the Kriging interpolation method, which requires prerequisite knowledge of observations or statistical values of a particular property (such as temperature, altitude, or congestion time) of several discrete pointsxi,yi in space. The Kriging interpolation method has advantages of superiority and high accuracy in fitting discrete points, as explained by(2)z^0=∑i=0nλizi,where z^0 is the estimated value of point x0,y0 and λi is weight coefficient estimated as the value of unknown point using the space of all known points on the weighted sum data. It is also an optimal coefficient to meet the minimum difference within the estimate x0,y0 of the real value of z0(3)min⁡λi=Varz^0-z0and satisfying the condition of unbiased estimation: (4)Ez^0-z0=0.The congestion points in Beijing with the congestion time 65 minutes or longer were clustered. The primary congestion points directly affected the secondary congestion points; the relationship with the proportion of land use was not strong. Hence, the secondary congestion points were not considered, and only the primary congestion points were analyzed in this paper. Figure6 presents the cluster results about the congestion time of the primary congestion points. Table 7 lists the clustering results using the average congestion time of each area as the dependent variable.Table 7
Clustering result based on congestion time.
Classification
Congestion time interval/min
Average congestion time/min
1
0–65
41.7
2
65–95
81.6
3
95–125
107.2
4
125–155
146.9
5
155–185
165.4
6
185–215
193.6
7
215–245
232.2Figure 6
Spatiotemporal clustering graph.


## 5. Correlation Analysis

This study used a multiple linear regression to identify the relationship between the land use and the traffic congestion:(5)Y=x1∗Ep+x2∗Bp+x3∗Rp+x4∗Cp+x5∗Lp+α,where α was the estimable intercept term (equalling zero), the dependent variable Y was the average congestion time of congestion region, the independent variables Ep, Bp, Rp, Cp, Lp were architectural area ratio of five main types of POIs (education, shopping, residential, work, and leisure) within the congestion region, and x1, x2, x3, x4, x5 were the corresponding coefficients.The congestion time and proportion of land in each cluster region in ArcGis were analyzed. We exclude the unconventional regions, such as Beijing passenger bus station, large parks, and regions that have a large proportion of tourism land. A total of 274 regions that have more than 65-minute congestion time were selected.The selected regions were in five types of the residential, education, business, company, and leisure land. Since the dependent variable was ordered and multiclassified, IBM SPSS Statistics 19.0 was used to perform an ordered analysis. The results in Table8 showed that the congestion time was positively correlated with the proportion of company land, commercial land, and educational land. This was because the primary purpose of traveling at the morning and evening peaks of weekdays was commuting to school or workplace. The commercial land had the most intensive congestion because the area within fourth ring road in Beijing had the highest proportion of commercial land. Moreover, the congestion at morning and evening peaks of weekdays was irrelevant to the proportion entertainment land.Table 8
Ordered multiclassification results.
Estimate
Std. error
Wald
Df
Sig
OR
95% confidence interval
Lower bound
Upper bound
Education
2.359
.653
13.048
1
.000
10.58
1.079
3.639
Business
43.402
5.945
53.290
1
.000
202.00
31.749
55.054
Resident
1.234
.552
4.988
1
.026
3.43
.151
2.316
Company
2.506
.712
12.393
1
.000
12.26
1.111
3.902
Leisure
0
a
.
.
0
.
1.00
.
.
aThis parameter is set to zero because it is redundant.Based on the analysis above, the commercial land, the residential land, the educational land, and the company all had a strong correlation with the congestion time. These four types were selected as the independent variables in the linear regression model:(6)Y=31.867∗Ep+128.345∗Bp+25.285∗Rp+31.491∗Cp+104.358.The fitting degree of the linear regression model is 0.751, which shows that there is a high correlation between the four types of land use and congestion. It was found that as the proportion of commercial land became higher in a particular area, one of other types of land use would be lower and the type of land use would be simpler. Besides, the regions with more commercial land would cause severe traffic congestion, because residents would have the same start or end time in the morning and evening peak, making traffic flow simultaneously arriving in the morning peak or leaving in the evening peak. On the contrary, regions with a lower proportion of commercial land would have less congestion, because the commuting time varies for different residents.The above analysis for congestion considered each land use as a single property type, while the land use might have mixed types. For reducing the traffic congestion, the ratio of the four types of land usex=Ep/Bp/Rp/Cp was regarded as the influencing factor. The linear regression between the congestion time and the ratio was performed, resulting in the following equation:(7)Y=89.442∗x3-340.210∗x2+452.338∗x-28.333with an R2 value of 0.637. Also, different proportions of land use types had a strong correlation with the congestion time. Therefore, this model can be used to predict the congestion time by the ratio of the four types of land use x. Besides, in the process of planning of land use, this model can also be used to coordinate the proportion of different types of land use according to the conditions of different areas. For example, if a resident land is built, there is also need to plan corresponding education land, business land, or company land. Based on the model, the reasonable ratio of the four types of land use can be calculated by the acceptable congestion time. Then, the proportion of the other three types of land use is coordinated according to the residential area.


## 6. Discussions and Conclusions

This study visualized the congestion points in space and showed that the congestion time was a reliable index to describe the congestion states. A cluster analysis on the congestion time data indicated that congestion time could be divided into seven categories according to congestion time intervals. In a multiple linear regression analysis, it was found that the high proportion of commercial land would significantly affect the congestion time. Besides, the linear regression analysis with the ratio of the five types of land use for the congestion time indicated that the reasonable proportions of land use types are more efficient to reduce congestion time and ensure efficient operation of urban traffic. One of the main contributions of this study is that it provides a feasible way to analyze traffic congestions from the online map data. Moreover, this study provides policy guidance for urban reform and gives a reference for the planning of urban land use. The regression models in the study can help us predict and estimate the correlation between land use and congestion intensity without the dependency on complex traffic models (such as traffic four-stage method) and large numbers of data acquisitions.The traffic data in this study were from Beijing urban land use. Further studies will use traffic data from other regions to determine a general pattern of the congestion and land distribution model. Further, the effect of the mixing ratio of land use on traffic congestion will be studied to obtain an optimized mixing ratio of land use.



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*Source: 7164790-2017-10-26.xml*