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PLOS ONE logoLink to PLOS ONE
. 2025 Jan 3;20(1):e0315692. doi: 10.1371/journal.pone.0315692

Risk factors for overtaking, rear-end, and door crashes involving bicycles in the United Kingdom: Revisited and reanalysed

Chun-Chieh Chao 1,2,3,#, Hon-Ping Ma 1,3,4, Li Wei 1,5,6, Yen-Nung Lin 1,7, Chenyi Chen 1, Wafaa Saleh 8, Bayu Satria Wiratama 9, Akhmad Fajri Widodo 1, Shou-Chien Hsu 10,11, Shih Yu Ko 4, Hui-An Lin 1,2,3,#, Cheng-Wei Chan 1,10,12,13,#, Chih-Wei Pai 1,*
Editor: Sergio A Useche14
PMCID: PMC11698528  PMID: 39752629

Abstract

Background and objective

Relevant research has provided valuable insights into risk factors for bicycle crashes at intersections. However, few studies have focused explicitly on three common types of bicycle crashes on road segments: overtaking, rear-end, and door crashes. This study aims to identify risk factors for overtaking, rear-end, and door crashes that occur on road segments.

Material and methods

We analysed British STATS19 accident records from 1991 to 2020. Using multivariate logistic regression models, we estimated adjusted odds ratios (AORs) with 95% confidence intervals (CIs) for multiple risk factors. The analysis included 127,637 bicycle crashes, categorised into 18,350 overtaking, 44,962 rear-end, 6,363 door, and 57,962 other crashes.

Results

Significant risk factors for overtaking crashes included heavy goods vehicles (HGVs) as crash partners (AOR = 1.30, 95% CI 1.27–1.33), and elderly crash partners (AOR = 2.01, 95% CI = 1.94–2.09), and decreased risk in rural area with speed limits of 20–30 miles per hour (AOR = 0.45, 95% CI = 0.43–0.47). For rear-end crashes, noteworthy risk factors included unlit darkness (AOR = 1.49, 95% CI = 1.40–1.57) and midnight hours (AOR = 1.28, 95% CI = 1.21–1.40). Factors associated with door crashes included urban areas (AOR = 16.2, 95% CI = 13.5–19.4) and taxi or private hire cars (AOR = 1.61, 95% CI = 1.57–1.69). Our joint-effect analysis revealed additional interesting results; for example, there were elevated risks for overtaking crashes in rural areas with elderly drivers as crash partners (AOR = 2.93, 95% CI = 2.79–3.08) and with HGVs as crash partners (AOR = 2.62, 95% CI = 2.46–2.78).

Conclusions

The aforementioned risk factors remained largely unchanged since 2011, when we conducted our previous study. However, the present study concluded that the detrimental effects of certain variables became more pronounced in certain situations. For example, cyclists in rural settings exhibited an elevated risk of overtaking crashes involving HGVs as crash partners.

Introduction

In recent years, urban bicycling has become increasingly popular in many countries, offering benefits such as reduced traffic congestion, diminished parking pressure, and a reduction in greenhouse gas emissions [1,2]. The World Health Organization has highlighted numerous health advantages of moderate-intensity physical activities such as bicycling, including improvements in life expectancy, quality of life, cognitive function, mental health, sleep quality, muscular and cardiorespiratory fitness, and bone and functional health [1].

However, despite such health benefits, the risk of injury remains a considerable safety concern for cyclists, who are regarded as vulnerable road users [1,3]. Traffic crash data indicate that the risk of accidents for cyclists, measured per distance travelled, is approximately 20 times higher than that for vehicle drivers [1]. To address this problem, researchers in the United States developed a comprehensive bicycle route safety rating model with a focus on injury severity [4]. This model evaluates multiple operational and physical aspects such as traffic volume, population density, highway classification, lane width, and the presence of one-way streets. In addition, it is capable of predicting the severity of injuries due to motor vehicle–related crashes at specific locations [4]. Another finding was that a route is considered adequately safe if it includes geometric factors that enhance safety [4]. This model can aid urban planners and public officials in creating infrastructure such as bike lanes and implementing strict lane policies to improve cyclist safety [4]. Implementing bike lanes has been demonstrated to reduce crash rates by up to 40% among adult cyclists [5]. One study found that roundabouts with dedicated cycle tracks significantly lower the risk of injury for cyclists compared to those without such bicycle infrastructure [6]. Furthermore, adequate night-time lighting on rural roads has the potential to prevent over half of all cyclist injuries [7]. Bicycle crashes can also impose a significant burden on healthcare expenses. Elvik and Sundfør [8] have discussed the economic implications and healthcare expenditures associated with bicycle accidents. For instance, in Belgium, the average cost of bicycle accidents per case is estimated at 841 euros [9]. In the Netherlands, the total annual cost has been reported as €410.7 million [10].

Although intersectional crashes are generally more frequent than non-intersectional ones, in 2020, 64% of fatal crashes involving cyclists occurred on road segments, defined as areas 20 meters away from intersections, whereas only 26% of such fatalities occurred at intersections [11]. Bil et al. demonstrated that car drivers, when at fault for crashes, often cause more serious consequences for cyclists on straight road sections [12]. In crashes occurring on road segments, several factors contribute to high injury severity, including being in a rural region with an elevated speed limit, male gender, and cyclist age of >55 years [13]. Another identified risk factor is bicycling on roads against oncoming traffic [14].

Although relevant research has shed light on risk factors for bicycle crashes at intersections, few studies have explicitly investigated crashes on road segments. Bicycle crashes on road segments remain a substantial issue for public health concern. This study aims to fill a critical gap by conducting a thorough examination of the risk factors associated with three distinct bicycle crash types: overtaking, rear-end, and door crashes that occur on road segments. Studies that have examined bicycle crashes relatively broadly, without distinguishing crash types, have identified several key factors—including vehicle volume [15], traffic density [16], number of lanes [16], access points along road segments [15], shoulder and median widths [15], parking space availability [15,16], length of continuous two-way left-turn lanes [15], and pavement type [17]—all of which contribute to bicycle crashes on road segments. One notable study has examined the risk factors for overtaking, rear-end, and door crashes [18]. Specifically, Pai identified buses and coaches as common crash partners in overtaking crashes, poor visibility, traversing manoeuvres, and teenage cyclists as risk factors for rear-end crashes, and built-up areas as a risk factor for door crashes [18]. In addition, another study linked the speed of a passing vehicle to increased severity of cyclist injury in overtaking crashes [19]. The high mortality rate from crashes on road segments underscores the significant risks linked to overtaking, rear-end, and door crashes. Overtaking, involving high-speed manoeuvres, greatly increases the likelihood of severe accidents. Rear-end crashes, frequently triggered by sudden stops or aggressive tailgating, pose a persistent threat to cyclists. Furthermore, injuries sustained by cyclists striking an opening car door can be devastating due to the impacts from the door, ground, or vehicles behind. These critical issues highlight the urgent need for identifying risk factors for these crashes.

The primary objective of the present study, an extension of our previous study, was to analyse police-reported crash data from additional years to determine whether the risk factors for these three crash types remained unchanged. The study addresses a critical gap in current research, focusing on crashes specifically occurring on road segments. Existing literature offers limited insights into these crash types, highlighting a crucial need for targeted investigations. These crashes have the potential for severe impacts, involving complex dynamics that demand a nuanced understanding for effective mitigation strategies. By exploring these factors, our research aims to significantly enhance cyclist safety within this particular context. Furthermore, we aimed to untangle the joint associations of several factors—including light conditions, urban versus rural settings, vehicle types, and rider and driver characteristics—with these three crash types.

Material and methods

Crash data source

The present investigation utilised data from 01/01/1991 to 31/12/2020, obtained from the United Kingdom’s official road traffic casualty database, STATS19. Police record such data either at crash scenes or within 30 days of each crash. The UK’s Department for Transport compiles the data, which the United Kingdom Data Archive then maintains and distributes. The dataset encompasses a variety of variables, including crash circumstances (e.g., time and date, weather conditions, road and light conditions, posted speed limit, road type), vehicle and driver characteristics, demographic details of the drivers, precrash manoeuvres of the vehicles, and the initial impact point of the vehicle. Additionally, the dataset contains demographic information and details regarding injury severity for each casualty. This study adhered to the STROBE (strengthening the reporting of observational studies in epidemiology) reporting guidelines [20]. It was conducted in accordance with the Declaration of Helsinki and received approval from the Joint Institutional Review Board of Taipei Medical University (N202011030).

Injury severity in the aforementioned dataset is divided into three categories, namely slight, serious, and fatal. Fatal injuries refer to those leading to death within 30 days of the accident. Serious injuries include conditions such as fractures, internal injuries, severe cuts and lacerations, concussions, and any injury requiring hospitalisation. Slight injuries include sprains, bruises, and minor cuts, as well as mild shock requiring roadside attention. The exclusive focus of this study was crashes leading to cyclist casualties.

As shown in Fig 1, this study analysed 1,366,196 crashes involving bicycles and other vehicles. Initially, 1,235,032 junction cases were excluded. From the remaining 131,164 bicycle segment crashes, 3,527 were further excluded because of incomplete demographic data for the cyclist and missing speed limit information, leaving a valid cohort of 127,637 bicycle segment crashes for analysis. Within this cohort, this study identified 18,350 overtaking crashes, 44,962 rear-end crashes, 6,363 door crashes, and 57,962 other types of crashes.

Fig 1. Flowchart of the study sample selection process.

Fig 1

(a) Listed excluded criteria are nonexclusive; thus, the sum of the total may exceed 3,527. (b) Other crashes include reversing crashes and head-on crashes.

Classification of crash types

As shown in Fig 2, an overtaking crash is defined as a crash where a motorised vehicle overtakes and impacts with a bicycle, which may be travelling straight, overtaking another vehicle, changing lanes, or turning. A rear-end crash occurs when a following vehicle impacts with the rear of a bicycle. A door crash involves a bicycle either being struck by or striking the opening door of an automobile. These three crash types were described using schematics in our previous study [18].

Fig 2. Illustrative diagram of the three crash types.

Fig 2

Data analysis

For the present study, the three crash types of focus (overtaking, rear-end, and door crashes) were the binary-dependent variables. The collected data encompassed the following factors: lighting conditions on the roadway at the time of the crash (daylight, darkness-lit, darkness-unlit), the speed limit at the crash scene (rural: ≥40 miles per hour [mph]; urban: 20–30 mph), the time of day categorised into four periods according to traffic volume (midnight: 00:00–06:00; rush hours: 07:00–08:00 and 17:00–18:00; nonrush hours: 09:00–16:00; and evening: 19:00–23:00), and the day of the week (weekday or weekend day). The demographic details of cyclist casualties encompassed age (≤18, 19–40, 41–64, or ≥65 years) and sex (male or female). Finally, the demographic details of the crash partner included the type of vehicle (identified as a taxi, private hire car, car, bus, or heavy goods vehicle [HGV]), age (≤18, 19–40, 41–64, or ≥65 years) and sex (male or female). On a cautionary note, we removed junction cases to avoid the variability introduced when exogenous factors, such as junction geometry and control measures, are present at junctions. Furthermore, the cases involving other cyclists and motorcyclists were removed as we focused on vehicle-cycle crashes only. Missing data on sex, age, or speed limits were also excluded in the analysis. Excluding these data may impact our results in a marginal scale, as these data are likely to be single-bicycle crashes that in nature be underreported in police crash dataset [21].

Statistical analysis

This study employed the Chi-squared test to examine the associations between crash type and other factors, including cyclist or motorist characteristics, vehicle features, roadway conditions, and temporal variables. We initially utilized descriptive statistics to examine the distribution of crash types across various variables such as lighting conditions, speed limit, time of day, and day of the week. Demographic details concerning cyclist casualties encompassed age and sex, while information about the crash partner included vehicle type, age, and sex. This preliminary analysis provided a general picture of basic characteristics of the data and identification of potential patterns. For inferential analysis, we applied the Chi-squared test to investigate associations between crash type and various factors, including cyclist and motorist characteristics, vehicle features, roadway conditions, and temporal variables. We then estimated crude odds ratios by estimating univariate logistic regression and adjusted odds ratios by multivariate logistic models, respectively. This approach allowed us to identify significant predictors while controlling for potential confounding variables [22].

The multivariate logistic regression model equation was specified as:

log(P(Y=1)1P(Y=1))=β0+β1X1+β2X2

where P(Y = 1) denotes the probability of the outcome, β0,β1,β2,,βp are the coefficients to be estimated, and X1,X2,,Xp represent the predictor variables.

Before estimating the model, assumptions of logistic regression, such as linearity of the logit, absence of multicollinearity, and independence of observations, were evaluated. An odds ratio (OR) greater than 1 indicated a positive association between the independent variable and the occurrence rate, while an OR less than 1 indicated a negative association. An OR of 1 suggested no association between the variables of interest and the outcomes. Additionally, joint effect analysis was employed to assess the risk associated with the combination of variables across the three types of crashes. All statistical analyses were conducted using SPSS Statistics version 25 for Windows (IBM Corp., Armonk, New York, USA). A p value lower than 0.05 in two-tailed tests was considered statistically significant.

Results

Population characteristics

Tables 13 present the distributions of overtaking, rear-end, and door crashes, respectively, in relation to multiple independent variables. These data revealed that a significant proportion of bicycle crashes occurred in daylight (82.3%), occurred in urban settings (78.5%), occurred during nonrush hours (48.3%), occurred on weekdays (77.5%), involved cyclists aged under 18 years (40.1%), and involved male cyclists (81.3%). Additionally, most crashes involved cars as crash partners (83.6%), and crash partners were predominately aged 19–40 years (38.5%) and were male (76.4%). Table 1 highlights an overrepresentation in bicycle overtaking crashes for certain variables, namely unlit darkness (19.5%), rural areas (24.8%), midnight hours (17.7%), buses or HGVs as crash partners (24.7%), and elderly crash partners (21.5%) and male crash partners (16.0%). These results were revealed to be statistically significant by the chi-squared test (p < 0.01).

Table 1. Distribution of overtaking crashes according to a set of independent variables.

Variable Total
(n = 127,637)
Overtaking crashes
(n = 18,350)
Non-overtaking crashes
(n = 109,287)
χ2 test
p value
Light conditions, n (%) <0.001
 Daylight
 Darkness-lit
 Darkness-unlit
105,053 (82.3)
16,543 (13.0)
6,041 (4.7)
15,283 (14.6)
1,889 (11,4)
1,178 (19.5)
89,770 (85.5)
14,654 (88.6)
4,863 (80.5)

Speed limit, n (%) <0.001
 Rural (≥ 40 mph)
 Urban (20–30 mph)
27,395 (21.5)
100,242 (78.5)
6,805 (24.8)
11,545 (11.5)
20,590 (75.6)
88,697 (88.5)
Crash time (h), n (%) <0.001
 Midnight (00:00–06:00)
 Rush hours (07:00–08:00/17:00–18:00)
 Nonrush hours (09:00–16:00)
 Evening (19:00–23:00)
4,810 (3.8)
41,619 (32.6)
61,696 (48.3)
19,512 (15.3)
852 (17.7)
5,685 (13.7)
9,386 (15.2)
2,427 (12.4)
3,958 (82.3)
35,934 (86.3)
52,310 (84.8)
17,085 (87.6)
Crash day, n (%) 0.094
 Weekend
 Weekday
28,730 (22.5)
98,907 (77.5)
4,218 (14.7)
14,132 (14.3)
24,512 (85.2)
84,775 (85.7)
Cyclist’s age (years), n (%) <0.001
 ≤18
 19–40
 41–64
 ≥65
51,193 (40.1)
45,760 (35.9)
26,052 (20.4)
4,632 (3.6)
5,220 (10.2)
7,108 (15.5)
5,012 (19.2)
1,010 (21.8)
45,973 (89.8)
38,652 (84.5)
21,040 (80.8)
3,622 (78.2)
Cyclist’s sex, n (%) <0.001
 Male
 Female
103,766 (81.3)
23,871 (18.7)
14,746 (14.2)
3,604 (15.1)
89,020 (85.8)
20,267 (84.9)
Crash partner, n (%) <0.001
 Taxi/Private hire car
 Car
 Bus/Heavy goods vehicle
2,588 (2.0)
106,668 (83.6)
18,381 (14.4)
208 (8.0)
13,599 (12.8)
4,543 (24.7)
2,380 (92.0)
93,069 (87.3)
13,838 (75.3)

Crash partner’s age (years), n (%) <0.001
 ≤18
 19–40
 41–64
 ≥65
2,415 (1.9)
49,103 (38.5)
35,598 (27.9)
40,521 (31.8)
281 (11.6)
5,398 (11.0)
3,973 (11.2)
8,698 (21.5)
2,134 (88.4)
43,705 (89.0)
31,625 (88.8)
31,823 (78.5)
Crash partner’s sex, n (%) <0.001
 Male
 Female
97,447 (76.4)
30,190 (23.8)
15,584 (16.0)
2,766 (9.2)
81,863 (84.0)
27,424 (90.8)

Table 3. Distribution of door crashes according to a set of independent variables.

Variable Total
(n = 127,637)
Door crashes
(n = 6,363)
Non-door crashes
(n = 121,274)
χ2 test
p value
Light conditions, n (%) <0.001
 Daylight
 Darkness-lit
 Darkness-unlit
105,053 (82.3)
16,543 (13.0)
6,041 (4.7)
5,192 (4.9)
1,031 (6.2)
140 (2.3)
99,861 (95.1)
15,512 (93.8)
5,901 (97.7)

Speed limit, n (%) <0.001
 Rural (≥ 40 mph)
 Urban (20–30 mph)
27,395 (21.5)
100,242 (78.5)
123 (0.5)
6,240 (6.2)
27,272 (99.6)
94,002 (93.8)
Crash time (h), n (%) <0.001
 Midnight (00:00–06:00)
 Rush hours (07:00–08:00/17:00–18:00)
 Nonrush hours (09:00–16:00)
 Evening (19:00–23:00)
4,810 (3.8)
41,619 (32.6)
61,696 (48.3)
19,512 (15.3)
113 (2.4)
2,056 (4.9)
3,363 (5.5%)
831 (4.3)
4,697 (97.7)
39,563 (95.1)
58,333 (94.6)
18,681 (95.7)
Crash day, n (%) <0.001
 Weekend
 Weekday
28,730 (22.5)
98,907 (77.5)
1,072 (3.7)
5,291 (5.4)
27,658 (96.3)
93,616 (94.7)
Cyclist’s age (years), n (%) <0.001
 ≤18
 19–40
 41–64
 ≥65
51,193 (40.1)
45,760 (35.9)
26,052 (20.4)
4,632 (3.6)
802 (1.6)
3,474 (7.6)
1,773 (6.8)
314 (6.8)
50,391 (98.4)
42,286 (93.4)
24,279 (93.2)
4,318 (93.2)
Cyclist’s sex, n (%) <0.001
 Male
 Female
103,766 (81.3)
23,871 (18.7)
4,404 (4.2)
1,959 (8.2)
99,362 (95.8)
21,912 (91.8)
Crash partner, n (%) <0.001
 Taxi/Private hire car
 Car
 Bus/Heavy goods vehicle
2,588 (2.0)
106,668 (83.6)
18,381 (14.4)
273 (10.6)
5,514 (5.2)
576 (3.1)
2,315 (89.5)
101,154 (94.8)
17,805 (96.9)

Crash partner’s age (years), n (%) <0.001
 ≤18
 19–40
 41–64
 ≥65
2,415 (1.9)
49,103 (38.5)
35,598 (27.9)
40,521 (31.8)
1,62 (5.2)
2,585 (5.3)
1,887 (5.3)
1,729 (4.3)
2,253 (93.3)
46,518 (94.7)
33,711 (94.7)
38,792 (95.7)
Crash partner’s sex, n (%) <0.001
 Male
 Female
97,447 (76.6)
30,190 (23.7)
4,123 (4.2)
2,240 (7.4)
93,324 (95.8)
27,950 (92.6)

Several variables in Table 2 reveal significant differences between rear-end crashes and non-rear-end crashes. Specifically, a higher proportion of rear-end crashes occurred under darkness-unlit conditions (50.2%) compared to darkness-lit conditions (37.5%). Additionally, rear-end crashes were more prevalent in rural areas with speed limits of ≥ 40 mph (43.0%) compared to urban areas with speed limits of 20–30 mph (33.1%). Crashes involving crash partners aged ≥ 65 accounted for 39.7% of rear-end crashes, which was higher compared to other age groups (age 41–64: 33.0% and ≤18: 36.0%). Furthermore, rear-end crashes were more likely to occur during midnight (47.6%) compared to rush hours (36.3%). Taxis or private hire cars were frequently involved in rear-end crashes (42.4%), as were male crash partners (36.8%). These findings highlight the significant influence of various factors on the likelihood of rear-end crashes. Variables such as darkness-unlit conditions, higher speed limits in rural areas, crash time, and characteristics of the crash partner all emerged as significant determinants. Importantly, these associations were statistically significant, as indicated by the Chi-squared test (p < 0.001).

Table 2. Distribution of rear-end crashes according to a set of independent variables.

Variable Total
(n = 127,637)
Rear-end crashes
(n = 44,962)
Non-rear-end crashes
(n = 82,675)
χ2 test
p value
Light conditions, n (%) <0.001
 Daylight
 Darkness-lit
 Darkness-unlit
105,053 (82.3)
16,543 (13.0)
6,041 (4.73)
35,726 (34.1)
6,204 (37.5)
3,032 (50.19)
69,333 (66.0)
10,339 (63.5)
3,003 (49.71)

Speed limit, n (%) <0.001
 Rural (≥ 40 mph)
 Urban (20–30 mph)
27,395 (21.5)
100,242 (78.5)
11,788 (43.0)
33,174 (33.1)
15,607 (57.0)
67,068 (66.9)
Crash time (h), n (%) <0.001
 Midnight (00:00–06:00)
 Rush hours (07:00–08:00/17:00–18:00)
 Nonrush hours (09:00–16:00)
 Evening (19:00–23:00)
4,810 (3.8)
41,619 (32.6)
61,696 (48.3)
19,512 (15.3)
2,289 (47.6)
15,089 (36.3)
20,723 (33.6)
6,861 (36.2)
2,521 (52.4)
26,530 (63.7)
40,973 (66.4)
12,651 (64.9)
Crash day, n (%) <0.001
 Weekend
 Weekday
28,730 (22.5)
98,907 (77.5)
9,485 (33.0)
35,477 (35.9)
19,245 (67.0)
63,430 (64.1)
Cyclist’s age (years), n (%) <0.001
 ≤18
 19–40
 41–64
 ≥65
51,193 (40.1)
45,760 (35.9)
26,052 (20.4)
4,632 (3.6)
13,446 (26.3)
19,102 (41.7)
10,619 (40.8)
1,795 (38.8)
37,747 (73.7)
26,658 (58.3)
15,433 (59.2)
2,837 (61.3)
Cyclist’s sex, n (%) <0.001
 Male
 Female
103,766 (81.3)
23,871 (18.7)
37,175 (35.8)
7,787 (32.6)
66,591 (64.2)
16,084 (67.4)
Crash partner, n (%) <0.001
 Taxi/Private hire car
 Car
 Bus/Heavy goods vehicle
2,588 (2.0)
106,668 (83.6)
18,381 (14.4)
1,096 (42.4)
37,202 (34.9)
6,664 (36.3)
1,492 (57.7)
71,342 (66.9)
9,841 (53.5)

Crash partner’s age (years), n (%) <0.001
 ≤18
 19–40
 41–64
 ≥65
2,415 (1.9)
49,103 (38.5)
35,598 (27.9)
40,521 (31.8)
870 (36.0)
16,282 (33.2)
11,736 (33.0)
16,074 (40.0)
1,545 (64.0)
32,821 (66.8)
23,862 (67.0)
24,447 (60.3)
Crash partner’s sex, n (%) <0.001
 Male
 Female
97,447 (76.6)
30,190 (23.7)
35,828 (36.8)
9,134 (30.3)
61,619 (63.2)
21,056 (69.7)

As shown in Table 3, several variables can contribute to door crashes involving bicycles. Door crashes predominantly occurred in urban areas with speed limits of 20–30 mph (6.2%), while a significantly lower proportion occurred in rural areas with speed limits ≥ 40 mph (0.5%). These crashes were overrepresented during non-rush hours (5.5%) and rush hours (4.9%) compared to evening (4.3%) and midnight (2.4%). Cyclists were more frequently involved in door crashes on weekdays (5.4%) than weekends (3.7%). As many as 8.2% of all female cyclists were involved in door crashes, which is higher than the involvement rate among males (4.2%). Taxi and private hire cars were overinvolved in door crashes (10.6%) compared to cars (5.2%) and buses/heavy goods vehicles (3.1%). Crash partners aged ≤18 years (5.2%) and 19–40 years (5.3%) were disproportionately involved in door crashes compared to older age groups, and female crash partners were overrepresented in door crashes (7.4%) compared to males (4.2%). These results were statistically significant, as indicated by the Chi-squared test (p < 0.001). They suggest that various factors—including traffic conditions (rural areas, crash time), cyclist demographics (younger age, female), and characteristics of the crash partner (taxi/private hire cars)—significantly contribute to the likelihood of door crashes involving cyclists.

Risk factors for the three crash types

Table 4 presents the results of the univariate logistic regression models. In terms of overtaking crashes, conditions of darkness with lighting (AOR 0.80, 95% CI: 0.77–0.82, p < 0.001) and darkness without lighting (AOR 0.93, 95% CI: 0.89–0.95, p = 0.001) were linked to a reduced likelihood of crashes when compared to daylight conditions. Urban roads with lower speed limits (20–30 mph) significantly reduced the odds of overtaking crashes compared to rural roads (AOR 0.40, 95% CI: 0.37–0.47, p < 0.001). In terms of cyclist demographics, older cyclists (≥65 years) were at a notably higher risk (AOR 1.84, 95% CI: 1.78–1.97, p < 0.001), and male cyclists were more likely to be involved than female cyclists (AOR 1.14, 95% CI: 1.10–1.17, p < 0.001). Additionally, crashes involving buses or heavy goods vehicles (HGVs) increased the likelihood of overtaking crashes (AOR 1.31, 95% CI: 1.24–1.41, p < 0.001).

Table 4. Univariate logistic regression results.

Variable Overtaking crashes Rear-end crashes Door crashes
AOR (95% CI) p value AOR (95% CI) p value AOR (95% CI) p value
Light condition
 Daylight
 Darkness-lit
 Darkness-unlit
Ref
0.80 (0.77, 0.82)
0.93 (0.89, 0.95)

<0.001
0.001
Ref
1.11 (1.08, 1.14)
1.50 (1.46, 1.56)

0.036
<0.001
Ref
1.19 (1.17, 1.26)
0.74 (0.72, 1.02)

<0.001
0.198
Speed limit
 Rural (≥40 mph)
 Urban (20–30 mph)
Ref
0.40 (0.37, 0.47)

<0.001
Ref
0.75 (0.73, 0.79)

<0.001
Ref
15.3 (14.6, 18.1)

<0.001
Crash time
 Midnight
 Rush hours
 Nonrush hours
 Evening
1.05 (0.97, 1.10)
1.04 (0.98, 1.08)
1.12 (1.06, 1.14)
Ref
0.157
0.116
0.007
1.34 (1.30, 1.39)
1.16 (1.12, 1.20)
1.02 (0.97, 1.13)
Ref
<0.001
0.003
0.742
0.39 (0.35, 0.47)
1.36 (1.31, 1.55)
1.78 (1.68, 1.89)
Ref
<0.001
<0.001
<0.001
Crash day
 Weekend
 Weekday
Ref
0.92 (0.90, 1.04)

0.341
Ref
1.08 (1.07, 1.13)

<0.001
Ref
1.33 (1.25, 1.36)

<0.001
Cyclist’s age (years)
 ≤18
 19–40
 41–64
 ≥65
Ref
1.28 (1.23, 1.39)
1.47 (1.33, 1.61)
1.84 (1.78, 1.97)

<0.001
<0.001
<0.001
Ref
1.80 (1.76, 1.99)
1.68 (1.64, 1.81)
1.54 (1.51, 1.80)

<0.001
<0.001
<0.001
Ref
5.26 (5.20, 5.86)
5.66 (5.47, 6.00)
5.13 (5.01, 5.83)

<0.001
<0.001
<0.001
Cyclist’s sex
 Male
 Female
Ref
1.14 (1.10, 1.17)

<0.001
Ref
0.81 (0.79, 0.91)

<0.001
Ref
1.48 (1.33, 1.67)

<0.001
Crash partner
 Taxi/Private hire car
 Car
 Bus/HGV
0.63 (0.641, 0.680)
Ref
1.31 (1.24, 1.41)
<0.001
<0.001
1.27 (1.24, 1.334)
Ref
1.05 (1.01, 1.15)
<0.001
<0.001
1.78 (1.46, 1.82)
Ref
0.433 (0.40, 0.51)
<0.001
<0.001
Crash partner’s age (years)
 ≤18
 19–40
 41–64
 ≥65
1.03 (0.97, 1.21)
Ref
0.93 (0.91, 0.98)
2.33 (1.99, 2.56)
0.251
0.035
<0.001
1.15 (1.11, 1.34)
Ref
0.98 (0.97, 1.03)
1.25 (1.20, 1.31)
<0.001
0.138
<0.001
0.65 (0.62, 0.69)
Ref
0.96 (0.94, 0.99)
0.51 (0.47, 0.56)
<0.001
<0.001
<0.001
Crash partner’s sex
 Male
 Female
1.28 (1.25, 1.33)
Ref
<0.001
1.23 (1.15, 1.39)
Ref
<0.001
1.30 (1.25, 1.53)
Ref
<0.001

For rear-end crashes, both lit (AOR 1.11, 95% CI: 1.08–1.14, p = 0.036) and unlit (AOR 1.50, 95% CI: 1.46–1.56, p < 0.001) darkness conditions were associated with a higher likelihood of crashes compared to daylight. Urban areas were linked to a decreased risk of rear-end crashes compared to rural areas (AOR 0.75, 95% CI: 0.73–0.79, p < 0.001). The likelihood of rear-end crashes was significantly higher during midnight (AOR 1.34, 95% CI: 1.30–1.39, p < 0.001) and rush hours (AOR 1.16, 95% CI: 1.12–1.20, p = 0.003). As with overtaking crashes, older cyclists had an elevated risk (AOR 1.54, 95% CI: 1.51–1.80, p < 0.001), while males had slightly reduced odds compared to females (AOR 0.81, 95% CI: 0.79–0.91, p < 0.001). Crashes involving buses or heavy goods vehicles were slightly more likely to result in rear-end crashes (AOR 1.05, 95% CI: 1.01–1.15, p < 0.001).

Regarding door crashes, lit conditions during darkness were associated with increased odds of crashes (AOR 1.19, 95% CI: 1.17–1.26, p < 0.001), whereas unlit conditions did not show a significant difference compared to daylight (AOR 0.74, 95% CI: 0.72–1.02, p = 0.198). Urban environments with lower speed limits were strongly linked to a higher risk of door crashes (AOR 15.3, 95% CI: 14.6–18.1, p < 0.001). Older cyclists (≥65 years) faced a substantially increased risk (AOR 5.13, 95% CI: 5.01–5.83, p < 0.001), and male cyclists were more likely to be involved than females (AOR 1.48, 95% CI: 1.33–1.67, p < 0.001). Interestingly, crashes involving buses or heavy goods vehicles reduced the likelihood of door crashes compared to cars (AOR 0.433, 95% CI: 0.40–0.51, p < 0.001).

Table 5 presents the results of the multivariate logistic regression analysis. In overtaking crashes, the presence of HGVs as partners increases the likelihood by 1.3 times (AOR = 1.30, 95% CI = 1.27–1.33; p < 0.001). For cyclists aged 65 and older, the adjusted odds ratio (AOR) is 1.79 (95% CI = 1.65–1.93; p < 0.001) compared to those aged 18 and younger. Factors associated with a decreased likelihood of crashes include daylight conditions (AOR = 0.81, 95% CI = 0.80–0.84; p < 0.001) and rural areas with speed limits of 40 mph or higher (AOR = 0.45, 95% CI = 0.43–0.47; p < 0.001).

Table 5. Multivariate logistic regression results.

Variable Overtaking crashes Rear-end crashes Door crashes
AOR (95% CI) p value AOR (95% CI) p value AOR (95% CI) p value
Light condition
 Daylight
 Darkness-lit
 Darkness-unlit
Ref
0.81 (0.80, 0.84)
0.92 (0.90, 0.93)

<0.001
0.001
Ref
1.04 (1.00, 1.09)
1.49 (1.40, 1.57)

0.041
<0.001
Ref
1.23 (1.20, 1.24)
0.87 (0.86, 1.02)

<0.001
0.136
Speed limit
 Rural (≥40 mph)
 Urban (20–30 mph)
Ref
0.45 (0.43, 0.47)

<0.001
Ref
0.76 (0.74, 0.79)

<0.001
Ref
16.2 (13.5, 19.4)

<0.001
Crash time
 Midnight
 Rush hours
 Nonrush hours
 Evening
1.07 (0.98, 1.17)
1.06 (1.00, 1.12)
1.09 (1.03, 1.15)
Ref
0.119
0.043
0.003
1.28 (1.21, 1.40)
1.12 (1.09, 1.15)
1.01 (0.96, 1.10)
Ref
<0.001
<0.001
0.639
0.50 (0.46, 0.53)
1.49 (1.45, 1.62)
1.90 (1.81, 1.93)
Ref
<0.001
<0.001
<0.001
Crash day
 Weekend
 Weekday
Ref
0.97 (0.96, 1.01)

0.133
Ref
1.09 (1.06, 1.12)

<0.001
Ref
1.25 (1.16, 1.34)

<0.001
Cyclist’s age (years)
 ≤18
 19–40
 41–64
 ≥65
Ref
1.29 (1.24, 1.35)
1.51 (1.44, 1.58)
1.79 (1.65, 1.93)

<0.001
<0.001
<0.001
Ref
1.84 (1.79, 1.89)
1.73 (1.68, 1.79)
1.67 (1.57, 1.78)

<0.001
<0.001
<0.001
Ref
5.94 (5.49, 6.44)
6.13 (5.62, 6.68)
5.99 (5.22, 6.87)

<0.001
<0.001
<0.001
Cyclist’s sex
 Male
 Female
Ref
1.11 (1.06, 1.15)

<0.001
Ref
0.85 (0.83, 0.90)

<0.001
Ref
1.68 (1.58, 1.77)

<0.001
Crash partner
 Taxi/Private hire car
 Car
 Bus/HGV
0.64 (0.61, 0.69)
Ref
1.30 (1.27, 1.33)
<0.001
<0.001
1.29 (1.19, 1.39)
Ref
1.10 (1.06, 1.14)
<0.001
<0.001
1.61 (1.59, 1.69)
Ref
0.48 (0.45, 0.49)
<0.001
<0.001
Crash partner’s age (years)
 ≤18
 19–40
 41–64
 ≥65
1.10 (0.96, 1.25)
Ref
0.95 (0.91, 0.99)
2.01 (1.94, 2.09)
0.162
0.025
<0.001
1.19 (1.17, 1.24)
Ref
0.96 (0.95, 0.98)
1.20 (1.18, 1.31)
<0.001
0.026
<0.001
0.65 (0.63, 0.68)
Ref
0.95 (0.93, 0.98)
0.54 (0.52, 0.57)
<0.001
<0.001
<0.001
Crash partner’s sex
 Male
 Female
1.35 (1.29, 1.42)
Ref
<0.001
1.15 (1.12, 1.19)
Ref
<0.001
1.37 (1.30, 1.46)
Ref
<0.001

For rear-end crashes, significant risk factors included darkness and unlit conditions (AOR = 1.49, 95% confidence interval [CI] = 1.40–1.57; p < 0.001), crashes occurring on weekdays (AOR = 1.09, 95% CI = 1.06–1.12; p < 0.001), and an increased likelihood of rear-end crashes during rush hours (AOR = 1.12, 95% CI = 1.09–1.15; p < 0.001). In contrast, the risk is lower in urban areas (AOR = 0.76, 95% CI = 0.74–0.79; p < 0.001) when rural areas are used as the reference.

Door crashes are significantly more prevalent in urban areas with speed limits of 20 to 30 mph—approximately 16 times higher (AOR = 16.2, 95% CI = 13.5–19.4; p < 0.001). Additionally, interactions with taxis or private hire cars as crash partners further increase the likelihood of these crashes (AOR = 1.61, 95% CI = 1.59–1.69; p < 0.001). Other important risk factors include conditions of darkness with illumination (AOR = 1.23, 95% CI = 1.20–1.24; p < 0.001) and crashes occurring on weekdays (AOR = 1.25, 95% CI = 1.16–1.34; p < 0.001). Furthermore, male crash partners were associated with increased odds of door crashes (AOR = 1.37, 95% CI = 1.30–1.47; p < 0.001).

Fig 3 presents a forest plot demonstrating the joint effects of several variables on the three crash types when other variables were controlled for. The results identified several key risk factors for both overtaking and rear-end crashes. The risk of overtaking crashes showed a significant increase of 193% in rural areas when elderly drivers were involved (AOR = 2.93, 95% CI = 2.79–3.08), and similarly when heavy goods vehicles (HGVs) were the crash partner (AOR = 2.62, 95% CI = 2.46–2.78). Elderly cyclists also faced a higher risk of overtaking crashes on weekends (AOR = 1.56, 95% CI = 1.34–1.81).

Fig 3. Joint effects of several variables on the three crash types.

Fig 3

Regarding rear-end crashes, the risk increased notably with unlit darkness during midnight (AOR = 1.68, 95% CI = 1.48–1.90) and was significantly higher in rural areas (AOR = 2.15, 95% CI = 2.01–2.31). Furthermore, bicycling at midnight in rural areas was associated with an increased risk of rear-end crashes (AOR = 1.68; 95% CI = 1.51–1.86). In urban settings, the risk of door crashes was higher for female cyclists (AOR = 2.29; 95% CI = 2.17–2.43) and for elderly cyclists (AOR = 2.06; 95% CI = 1.82–2.34). Finally, female cyclists exhibited a 112% higher likelihood of door crashes when the crash partner was a taxi (AOR = 2.12; 95% CI = 1.68–2.69).

Discussion

This study explored the relationships among individual and environmental factors in relation to three common bicycle crash types (overtaking, rear-end, and door crashes) on roads in the United Kingdom from 1991 to 2020. The findings revealed several significant factors. First, for overtaking crashes, HGVs as crash partners, rural areas, and the involvement of elderly crash partners emerged as key contributing factors. Second, unlit darkness, midnight hours, and rural areas were the factors most closely associated with rear-end crashes. Third, urban areas and taxis as crash partners significantly increased the likelihood of door crashes. Moreover, male crash partners were found to be a consistent risk factor across all three crash types.

Our research findings identified specific risk factors for overtaking crashes, namely rural areas, HGVs as crash partners, and elderly crash partners. These findings align with previous research that identified elderly drivers [23], speeds exceeding 10 mph, and the presence of pick-up trucks as factors contributing to increased risk for overtaking crash. Specifically, HGVs possess several characteristics that amplify this danger. Their large blind spots make it difficult for drivers to see cyclists, increasing the likelihood of crashes during overtaking [24]. Additionally, HGVs are less manoeuvrable compared to passenger cars, which reduces their ability to avoid crashes if cyclists suddenly enter their path [25]. The speed and distance perception issues between HGVs and cyclists further complicate the judgment of safe overtaking gaps [26]. Furthermore, HGVs require longer stopping distances due to their size and weight, which can lead to severe consequences if a sudden need to brake arises. A behavioural study suggested that compared with cars, HGVs tended to maintain a narrower clearance zone when overtaking bicycles [27]. Regarding the association with buses or HGVs, Pai et al. suggested that time pressures on HGV drivers for timely loading and unloading might lead to more reckless driving [18]. Specifically, our results align with the observations made by Pai et al., who also mentioned higher crash rates involving buses or HGVs, supporting the idea that these time pressures contribute to increased crash risks. Our findings underscore the necessity of implementing measures such as ‘Share the Road’ warning signs [28], particularly in rural settings, where HGVs are likely to execute overtaking manoeuvres at high speed. Such measures could prompt motor vehicles to maintain safer distances from the edges of travel lanes, especially in areas with a notable presence of both HGVs and bicycles.

We also identified elderly drivers as a factor contributing to overtaking crashes—a finding consistent with relevant research [23]. We found that as individuals age, their risk of being involved in road accidents increases, primarily due to declines in cognitive capabilities. Our study corroborates these findings by showing that older cyclists are more susceptible to accidents during overtaking manoeuvres, which can be attributed to diminished reaction times and impaired decision-making abilities [29], their health [30], and their driving performance [31]. Notably, crashes involving elderly individuals often occur in scenarios with challenging conditions, including at intersections without traffic control measures, on high-speed roads, during adverse weather conditions, in poorly lit areas, and in head-on accidents [3234]. The heightened level of risk under such conditions may be attributed to cognitive and perceptual decline in older drivers, which could affect their capacity to execute actions such as overtaking manoeuvres safely. Accordingly, developing specialised cognitive training programmes as interventions to enhance road safety for elderly drivers is evidently necessary [35]. Based on our study’s findings, we recommend the development of specialised interventions to improve road safety for elderly cyclists. Our analysis reveals that older cyclists are at a higher risk of being involved in overtaking crashes, with this increased risk being strongly linked to declines in cognitive capabilities associated with aging. To address this issue, we advocate for the implementation of targeted cognitive training programs specifically designed for elderly cyclists. These programs should focus on enhancing critical skills such as reaction time, situational awareness, and decision-making abilities, which are crucial for reducing crash risk and improving overall road safety.

In the present study, several factors were found to increase the risk of rear-end crashes on road segments, including darkness with unlit surroundings, midnight hours, and rural settings (speed limit > 40 mph). Although few studies have specifically addressed rear-end crashes involving bicycles on road segments, available data suggest that the low conspicuity of bicycles, especially at night, is a recurrent factor in rear-end crashes [18]. Moreover, a lack of adequate street lighting, which is common in rural settings, predisposes cyclists to rear-end crashes. Our joint-effects analysis further indicated that the detrimental effect of unlit darkness is more pronounced in rural areas and during midnight hours. Potential intervention strategies to mitigate rear-end crashes include enhancing illumination and executing speed control management on rural road segments with heavy bicycle traffic.

Next, our analysis successfully identified associations of urban areas and taxis and private hire cars as crash partners with door crashes on road segments. Although research specifically focusing on door crashes on road segments is limited, similar findings were documented by Pai, indicating that urban roadways and taxis contributed to door crashes [18]. However, determining the factors influencing this trend poses a challenge. One possible explanation could be the increased presence of taxis or private hire cars in such areas, where passengers often disembark. Additionally, our analysis further revealed an elevated risk of door crashes involving crashes with taxis in urban areas. To reduce door crashes on road segments, educating taxi drivers, as well as passengers, about the importance of vigilance when opening doors near traffic is essential [18]. In addition, cyclists should be advised to maintain at least a door’s width distance from all parked cars to improve the sight triangles of drivers and increase the visibility of cyclists [36]. Implementing a two-stage door opening mechanism for vehicles, which would enable drivers to verify the presence of bicycles to the rear, could also be beneficial [37].

The strengths of this study include the use of STATS19 datasets spanning from 1991 to 2020, which provides a robust statistical foundation and a broad perspective on trends in bicycle crashes. By focusing specifically on three crash types on road segments—overtaking, rear-end, and door crashes—the study provides a comprehensive and focused analysis, which can yield more actionable insights and more effective recommendations. The UK-based dataset ensures that the findings are particularly relevant for local policy and safety interventions. Additionally, the application of statistical techniques and the consideration of various factors, such as crash partner and time of day, enhance the validity and depth of the analysis.

This study had several limitations that warrant acknowledgement. First, the substantial underreporting of nonfatal casualties to the police, particularly casualties involving cyclists not obligated to report accidents, is a critical factor to consider. Such underreporting, as highlighted by the U.K. Government’s Department for Transport [11], likely results in the incomplete representation of nonfatal and ‘slight’ casualties in road casualty data. Second, the STATS19 data utilised in this study lack critical variables, including precrash speeds, specific geometric characteristics of roadways, data regarding alcohol and illicit substance use, and cyclist speed at the time of an accident. Moreover, critical exposure data—such as those related to traffic flow, rider or driver experience, and other elements of risk exposure—are absent, and the absence of such details limits our ability to fully account for potential variations resulting from unobserved factors in the analyses. Finally, this study did not explore annual trends in each type of bicycle crash over the 30-year study period; investigating such trends could provide insights regarding changing behaviours among cyclists and motor vehicle drivers as well as the effects of legislative changes for road speed limits.

One inherent problem with police-reported crash data is the variables not readily available, hereby causing unobserved heterogeneity across the observations. To overcome such a limitation, we estimated separate regression models, as suggested by Kim et al. [38], for the three crash types; such an approach provides greater explanatory power compared to single overall models. Further, we conducted joint-effect analyses of several variables of interest that capture heterogeneity. In our previous studies, we adopted the above-mentioned approaches to overcome the inherent problem with a success [39,40].

Future research directions could involve integrating GPS (Global Positioning System) data and weather conditions to analyse both injury frequency and fatalities of bicycle crashes on road segments. Additionally, exploring the potential of autonomous vehicles for detecting approaching bicycles for door-crashes and implementing AI-controlled lighting systems in rural areas for cyclist detection could be promising areas for further study.

Recommendations

For overtaking crashes, we recommend implementing ’Share the Road’ warning signs, especially in rural areas, and developing specialized cognitive training programs for elderly drivers. Regarding rear-end crashes, our suggestions include improving illumination during night time and implementing speed control measures on rural road segments. For door crashes involving parked cars, we propose enhancing driver sight triangles and increasing cyclist visibility. Moreover, implementing a two-stage door opening mechanism and an automatic detection device in vehicles to alert drivers of bicycles approaching from behind could potentially be beneficial.

Conclusions

This study identified several significant risk factors for the three predominate types of crashes involving cyclists on road segments: HGVs as crash partners, elderly crash partners, and rural areas for overtaking crashes; unlit darkness, midnight hours, and rural areas for rear-end crashes; and urban areas and taxis as crash partners for door crashes. These risk factors remained unchanged since our previous study conducted in 2011 [18]. The present research enhances the field of bicycle safety research by concluding that the detrimental effects of certain variables become more pronounced under certain conditions. For example, first, cyclists in rural settings exhibited an elevated risk of overtaking crashes involving HGVs. Second, the rear-end crash risk increases in the combined presence of unlit darkness, midnight hours, and rural areas. Finally, in urban settings, the likelihood of door crashes increases when a taxi is the crash partner.

Acknowledgments

This manuscript was edited by Wallace Academic Editing.

Abbreviations

WHO

World Health Organization

HGVs

heavy goods vehicles

AOR

adjusted odds ratio

CI

confidence interval

Data Availability

This study utilised the British STATS19 database, which contains data on all road traffic accidents in the United Kingdom. The data that support the findings of this study are openly available at https://figshare.com/ndownloader/files/48173452.

Funding Statement

This study was financially supported by grants from the Ministry of Science and Technology, Taiwan (MOST 109-2314-B-038-066-); the National Science and Technology Council, Taiwan (NSTC 112-2410-H-038-023-MY2; NSTC 110-2410-H-038-016-MY2) and New Taipei City Hospital (NTPC 113-002). The funders had no role in the design of the study, data collection and analysis, interpretation of data, or preparation of the manuscript.

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Decision Letter 0

Ahmed Mancy Mosa

16 Jun 2024

PONE-D-24-17126Risk Factors for Overtaking, Rear-End, and Door Crashes Involving Bicycles in the United Kingdom: Revisited and ReanalysedPLOS ONE

Dear Dr. Pai,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process. Please consider all comments 

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Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Partly

Reviewer #4: Yes

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: N/A

Reviewer #2: No

Reviewer #3: I Don't Know

Reviewer #4: Yes

**********

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Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

Reviewer #4: Yes

**********

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Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

Reviewer #4: Yes

**********

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Reviewer #1: Regarding the statistical analysis, I would like to ask the authors to explain:

1. the reason(s) for ignoring any probable interaction between independent variables in the multivariate logistic regression.

2. why did they consider different reference category for the same individual variables among different outcome in logistic regression modeling? This will make difficult to interpret the comparison of the effect of an independent variable on different different type of crashes.

for example, in table 4, the ref category for Light condition is Darkness-lit, Daylight and Darkness-unlit for Overtaking, Rear-end and Door crashes respectively.

I suggest authors to provide identical indicators for figures both in the main text and in the figure's caption. Reading "Fig. 1" below a figure, one will look for the same word in the main text while it is recalled as "Figure 1".

Reviewer #2: PLOS One

Title: Risk Factors for Overtaking, Rear-End, and Door Crashes Involving Bicycles in the United Kingdom: Revisited and Reanalysed.

Comments to the authors:

General comments:

- None of the authors was a UK???

- The authors should emphasize the significance of including these three types of crashes????

- What novelty this study adds compared to the previous one in 2011??? –

- The rationale for conducting the current study as well as the practical implications should be emphasized??

- For the introduction section, burden in terms of mortality, morbidity, and DALYs should be mentioned as well the economic and health care costs should be mentioned (globally and UK)

- The number of cyclists in UK or those using bicycles for their mobility??

Specific comments:

- Instead of data collection, data used for analysis is appropriate??

- Of the used crashes data, how many were fatal???

- For analysis of data, use the Odds ratios and 95% confidence intervals (univariate and bivariate)

- Details about the multivariate logistic regression model should be mentioned???

- Use the Odds ratios for interpreting and displaying the results in tables 1, 2, and 3???

- Chi square is not enough test to identify the direction and which segment of the given variable is significantly different???

- What was the adjustment made for??? And how???

- The joint-crash effect: how it was measured statistically???

Reviewer #3: Areas for Improvement:

Clarity and Conciseness:

Some sections of the text are verbose and could benefit from more concise language. For instance, the detailed descriptions of statistical methods and results could be streamlined without losing essential information.

Simplifying the language and structure would enhance readability and accessibility, particularly for readers who are not specialists in the field.

Detailed Interpretation of Results:

While the results section provides extensive data, there is limited interpretation of what these results mean in practical terms. Adding more context about how these findings could influence policy or infrastructure design would be valuable.

Discussing potential interventions based on the identified risk factors, such as specific infrastructure improvements or policy changes, would strengthen the practical implications of the study.

Comparative Analysis:

Including a comparative analysis with similar studies from other countries could provide a broader context for the findings and highlight whether these risk factors are unique to the UK or consistent globally.

Discussing how the UK’s findings compare with those from the United States or other European countries, especially concerning the impact of infrastructure and vehicle types, could offer valuable insights.

Methodological Transparency:

Providing more detailed information about the methodology, particularly the criteria for excluding certain data points, would enhance transparency. For example, explaining why specific demographic data were incomplete and how this might affect the results would be useful.

A discussion on the limitations of the data and the potential biases introduced by police reporting practices could provide a more nuanced understanding of the findings.

Visual Aids:

Adding more visual aids, such as graphs or charts, could help in visualizing the key findings and making the data more accessible to readers.

A geographic distribution map showing where different types of crashes are more prevalent could add an interesting dimension to the analysis.

Future Directions:

Including a section on future research directions would be beneficial. Identifying gaps in the current research and suggesting areas for further investigation could guide subsequent studies.

Discussing the potential impact of emerging technologies, such as autonomous vehicles and advanced cyclist detection systems, on these crash types could provide a forward-looking perspective.

Reviewer #4: This Study is technically sound and has potential to add to the body of knowledge involving bicycle riding safety in the UK and everywhere across the globe. It has adhered to the research and publication ethics, however, the study still need revision on some of the key identified areas which i have pointed out, starting from abstract, background, results and discussions.

**********

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Reviewer #1: No

Reviewer #2: Yes: Tarek Tawfik Amin

Reviewer #3: Yes: Mohammad Ashraful Amin

Reviewer #4: No

**********

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Attachment

Submitted filename: PONE-D-24-17126_Reviewed.pdf

pone.0315692.s001.pdf (1.9MB, pdf)
Attachment

Submitted filename: Reviewer_comment1.pdf

pone.0315692.s002.pdf (53.8KB, pdf)
PLoS One. 2025 Jan 3;20(1):e0315692. doi: 10.1371/journal.pone.0315692.r002

Author response to Decision Letter 0


8 Aug 2024

Reviewer comments:

Reviewer 1: Regarding the statistical analysis, I would like to ask the authors to explain:

1. the reason(s) for ignoring any probable interaction between independent variables in the multivariate logistic regression.

Author’s response: We appreciate the reviewer’s comment and question. By examining variables independently, we gain a clearer understanding of their individual impacts on the outcome (specifically, crash type in this study). This approach allows us to assess each variable's direct influence without the added complexity of interactions or modifications between variables. It provides insights into which variables independently affect the outcome, directly addressing our research questions. Initially, we used the chi-squared test to explore associations between a set of independent variables and the three crash types. To minimize type II errors in variable selection and ensure unbiased inferences, we included variables with a p-value less than 0.2 from the univariate analysis into the multivariate logistic regression models, a common practice in past studies of traffic injuries (e.g., a, b) and methodology (c). Subsequently, we examined interaction effects among several variables of interest, as depicted in Figure 2 of the manuscript. While acknowledging the potential for other interactions among variables, our study focused on assessing the joint effects of specific variables of interest. To take overtaking crashes as an example, these variables included rural areas, crash partners aged 65 years or older, heavy goods vehicles, weekends, and cyclists aged 65 years or older. Future research could delve into untangling the complexities of additional interaction effects among variables, as suggested by the reviewer.

References:

a: Chen, P-L, Pai, C-W. Evaluation of injuries sustained by motorcyclists in approach-turn crashes in Taiwan. Accident Analysis and Prevention, 2019, 124, 33-39.

b: Chien, D-K., Hwang, HF, Lin, MR. Injury severity measures for predicting return-to-work after a traumatic brain injury. Accident Analysis and Prevention, 2017, 98, 101-107.

c: Maldonado G, Greenland S. Simulation study of confounder-selection strategies. Am J Epidemiol 1993, 138, 11, 923-936.

2. Why did they consider different reference categories for the same individual variables among different outcomes in logistic regression modeling? This will make it difficult to interpret the comparison of the effect of an independent variable on different types of crashes. for example, in table 4, the ref category for Light condition is Darkness-lit, Daylight and Darkness-unlit for Overtaking, Rear-end and Door crashes respectively.

Author’s response: We appreciate the reviewer’s comment and question. In our analysis, we chose various reference categories for variables based on the lowest Adjusted Odds Ratios (AORs) observed. This approach allowed us to highlight different risk factors associated with higher AORs for specific types of crashes. For example, urban roads with speed limits of 20-30 mph were identified as protective factors for overtaking and rear-end crashes. However, for door crashes, these urban roads appeared to pose a higher risk compared to rural roads, as indicated by their higher AOR. It is important to note that selecting a reference category does not change the estimation results of our models. Instead, assigning reference case with the lowest AOR helps readers identify risk factors with higher AORs among the three crash types.

3. I suggest authors provide identical indicators for figures both in the main text and in the figure's caption. Reading "Fig. 1" below a figure, one will look for the same word in the main text while it is recalled as "Figure 1".

Author’s response: We appreciate this reviewer’s comments, and we have revised the manuscript in the main text and figure’s caption (please refer to lines 145 to 146; page 8 in the manuscript). 

Reviewer 2:

1 General comments:

1.1 None of the authors was from the UK???

Author’s response: We appreciate this reviewer’s comments. One of our authors, Prof. Wafaa Saleh, is from Edinburgh Napier University, UK.

1.2 The authors should emphasize the significance of including these three types of crashes????

Author’s response: We appreciate the reviewer's comments. We have incorporated the following statements into the introduction to underscore the significance of including the three crash types (please refer to lines 110 to 115; pages 5-6 in the manuscript):

“The study addresses a critical gap in current research, focusing on crashes specifically occurring on road segments. Existing literature offers limited insights into this specific type of crash, highlighting a crucial need for targeted investigation. These crashes have the potential for severe impact, involving complex dynamics that demand a nuanced understanding for effective mitigation strategies. By exploring these factors, our research aims to significantly enhance cyclist safety within this particular context.”

1.3 What novelty this study adds compared to the previous one in 2011???

Author’s response:

We appreciate this reviewer’s comment. One inherent problem with police-reported crash data is the variables not readily available, hereby causing unobserved heterogeneity across the observations. To overcome such a limitation, we estimated separate regression models, as suggested by Kim et al. (e.g., d), for the three crash types; such an approach provides greater explanatory power compared to single overall models. Further, we conducted joint-effect analyses of several variables of interest that capture heterogeneity. In our previous studies, we adopted the above-mentioned approaches to overcome the inherent problem with a success (e.g., e, f).

To clarify this, the following statements have been added to the Discussion section of the manuscript (please refer to lines 391 to 397; page 23 in the manuscript):

“One inherent problem with police-reported crash data is the variables not readily available, hereby causing unobserved heterogeneity across the observations. To overcome such a limitation, we estimated separate regression models, as suggested by Kim et al. (e.g., d), for the three crash types; such an approach provides greater explanatory power compared to single overall models. Further, we conducted joint-effect analyses of several variables of interest that capture heterogeneity. In our previous studies, we adopted the above-mentioned approaches to overcome the inherent problem with a success (e.g., e, f).”

d: Kim, D., Washington, S., Oh, J., 2006. Modelling crash outcomes: new insights into the effects of covariates on crashes at rural intersections. Journal of Transportation Engineering. 132 (4), 282-292.

e: Pai CW, Jou RC, 2014. Cyclists’ red-light running behaviours: An examination of risk-taking, opportunistic, and law-obeying behaviours. Accident Analysis and Prevention. 62,191-198.

f: Pai CW, Saleh W., 2008. Modelling motorcyclist injury severity by various crash types at T-junctions in the UK. Safety Science. 13, 98-98.

1.4 The rationale for conducting the current study as well as the practical implications should be emphasized??

Author’s response: We appreciate this reviewer’s comments. First, regarding the rationale for conducting the current study, we have added the following statements (please kindly refer to lines 91-95 on page 5 of the manuscript):

“Bicycle crashes on road segments remain a substantial issue for public health concern. Existing research primarily emphasizes intersection-related crashes. This study aims to fill a critical gap by conducting a thorough examination of the risk factors associated with three distinct bicycle crash types: overtaking, rear-end, and door crashes that occur on road segments.”

Secondly, to highlight the practical implications, we have included the following statements in the Discussion section (please refer to lines 404-412 on pages 23-24 of the manuscript):

“Recommendations

For overtaking crashes, we recommend implementing 'Share the Road' warning signs, especially in rural areas, and developing specialized cognitive training programs for elderly drivers. Regarding rear-end crashes, our suggestions include improving illumination during night time and implementing speed control measures on rural road segments. For door crashes involving parked cars, we propose enhancing driver sight triangles and increasing cyclist visibility. Moreover, implementing a two-stage door opening mechanism and an automatic detection device in vehicles to alert drivers of bicycles approaching from behind could potentially be beneficial.”

1.5 For the introduction section, burden in terms of mortality, morbidity, and DALYs should be mentioned as well the economic and health care costs should be mentioned (globally and UK)

Author’s response: We appreciate the reviewer’s comments. Our original literature review has included several past studies that have reported the accident/injury outcomes resulting from these three crash types. For example, road segments with elevated speed limits, male cyclists, and cyclists aged over 55 years contribute significantly to high injury severity crashes. Additionally, built-up areas increase the risk of door crashes involving cyclists and parked cars.

It is important to note that there is limited research specifically examining the impact of overtaking, rear-end, and door crashes on Disability-Adjusted Life Years DALYs, economic costs, and healthcare expenses. Notable exceptions include studies by Elvik and Sundfør (e.g., d), who examined the inclusion of cyclist injuries in health impact economic assessments. Aertsens et al. (e.g., h) and Scholten et al. (e.g., i) also provided comprehensive analyses of the total and average costs associated with bicycle injuries. Although the three crash types were not explicitly examined in the above-mentioned studies, we have followed this reviewer’s suggestion by incorporating these studies into the 'Introduction' section (please refer to lines 77-81; page 4 of the manuscript):

“Bicycle crashes can also impose a significant burden on healthcare expenses. Elvik and Sundfør (e.g., g) have discussed the economic implications and healthcare expenditures associated with bicycle accidents. For instance, in Belgium, the average cost of bicycle accidents per case is estimated at 841 euros (e.g., h). In the Netherlands, the total annual cost has been reported as €410.7 million (e.g., i).”

References:

g: Elvik, R., & Sundfør, H. B. (2017). How can cyclist injuries be included in health impact economic assessments? Journal of Transport & Health, 6, 29-39.

h: Aertsens, J., de Geus, B., Vandenbulcke, G., Degraeuwe, B., Broekx, S., De Nocker, L., ... & Panis, L. I. (2010). Commuting by bike in Belgium, the costs of minor accidents. Accident Analysis & Prevention, 42(6), 2149-2157.

i: Scholten, A. C., Polinder, S., Panneman, M. J., Van Beeck, E. F., & Haagsma, J. A. (2015). Incidence and costs of bicycle-related traumatic brain injuries in the Netherlands. Accident Analysis & Prevention, 81, 51-60.

1.6 The number of cyclists in UK or those using bicycles for their mobility??

Author’s response: We appreciate the reviewer's comment. In our study, we analyzed national police-reported crash data involving cyclists. Unfortunately, exposure data, such as the number of cyclists and miles traveled, were not available in the STATS19 dataset. While such data may be available from the UK National Travel Survey, it often reflects outdated information and may not be fully representative of the entire population.

2. Specific comments:

2.1 Instead of data collection, data used for analysis is appropriate??

Author’s response: We appreciate the reviewer's comment. The dataset, UK Stats19 covering all traffic accidents in the UK, should be appropriate, as numerous studies in the field of traffic injury and medicine have analysed such data (e.g., references j, k, l).

j: Haghpanahan, Houra, et al. "An evaluation of the effects of lowering blood alcohol concentration limits for drivers on the rates of road traffic accidents and alcohol consumption: a natural experiment." The Lancet 393.10169 (2019): 321-329.

k: Pai, C. W., Hwang, K. P., & Saleh, W. (2009). A mixed logit analysis of motorists’ right-of-way violation in motorcycle accidents at priority T-junctions. Accident Analysis & Prevention, 41(3), 565-573.

l: Fountas, G., Fonzone, A., Gharavi, N., & Rye, T. (2020). The joint effect of weather and lighting conditions on injury severities of single-vehicle accidents. Analytic methods in accident research, 27, 100124.

2.2 Of the used crashes data, how many were fatal???

Author’s response: We appreciate the reviewer's comment. As reported in the table below, as many as 0.8% of those in overtaking crashes sustained fatal injuries, which was the highest compared to those in the other two crash types.

Slight Serious Fatal Total

Overtaking crashes 14240(77.6%) 3,964(21.6%) 147(0.8%) 18350

Rear-end crashes 39821(89.1%) 4782(10.7%) 89(0.2%) 44692

Door crashes 5561(87.4%) 770(12.1%) 32(0.5%) 6363

2.3 For analysis of data, use the Odds ratios and 95% confidence intervals (univariate and bivariate)

Author’s response: We appreciate this reviewer’s comment. We analyzed the distribution of crash types across a set of independent variables. Chi-square tests were used to explore relationships between these variables and crash types. Variables with a significance level below 0.2 were identified to minimize type II errors and were considered significantly associated with the outcome variables (p < 0.05). Subsequently, these variables were included in multiple logistic regression models. Stepwise logistic regression was then employed to estimate the odds of various variables after controlling for specific factors. This methodology has been widely used in past studies of traffic injuries (e.g., a, b) and methodology (e.g., c).

a: Chen, P-L, Pai, C-W. Evaluation of injuries sustained by motorcyclists in approach-turn crashes in Taiwan. Accident Analysis and Prevention, 2019, 124, 33-39;

b: Chien, D-K., Hwang, HF, Lin, MR. Injury severity measures for predicting return-to-work after a traumatic brain injury. Accident Analysis and Prevention, 2017, 98, 101-107;

c: Maldonado G, Greenland S. Simulation study of confounder-selection strategies. Am J Epidemiol 1993, 138, 11, 923-936).

2.4 Details about the multivariate logistic regression model should be mentioned???

Use the Odds ratios for interpreting and displaying the results in tables 1, 2, and 3???

Author’s response: We appreciate the reviewer's comment. Firstly, if we understand this reviewer correctly, we have incorporated additional details (such as formulation and derivation) of the multivariate logistic regression model into the “Methods” section (please refer to lines 179-194 on pages 10-11 of the manuscript):

“Initially, we examined the distribution of three crash types across various variables to explore their relationships with a binary outcome. These variables included lighting conditions, speed limit, time of day, and day of the week. Demographic details concerning cyclist casualties encompassed age and sex, while information about the crash partner included vehicle type, age, and sex. We set a significance level of p < 0.2 to include risk factors in our multivariate analysis. Adjusted odds ratios (AORs) were computed using multivariate logistic regression with backward selection.

The multivariate logistic regression model equation was specified as:

log(P(Y=1)/(1 - P(Y=1) )) =β_0+β_1 X_1+β_2 X_2

where P(Y=1) denotes the probability of the outcome, β0,β1,β2,…,βp are the coefficients to be estimated, and X1,X2,…,Xp represent the predictor variables.

Before estimating the model, assumptions of logistic regression, such as linearity of the logit, absence of multicollinearity, and independence of observations, were evaluated.

An odds ratio (OR) greater than 1 indicated a positive association between the independent variable and the occurrence rate, while an OR less than 1 indicated a negative association. An OR of 1 suggested no association between the variables of interest and the outcomes.”

Secondly, this reviewer suggest

Attachment

Submitted filename: 7-31 PLOS one Reviewer all 07312024 PAI.pdf

pone.0315692.s003.pdf (623.6KB, pdf)

Decision Letter 1

Ahmed Mancy Mosa

1 Sep 2024

PONE-D-24-17126R1Risk Factors for Overtaking, Rear-End, and Door Crashes Involving Bicycles in the United Kingdom: Revisited and ReanalysedPLOS ONE

Dear Dr. Pai,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Please consider all comments 

Please submit your revised manuscript by Oct 16 2024 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: (No Response)

Reviewer #2: (No Response)

Reviewer #3: All comments have been addressed

Reviewer #4: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

Reviewer #2: Yes

Reviewer #3: Yes

Reviewer #4: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: N/A

Reviewer #2: No

Reviewer #3: Yes

Reviewer #4: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

Reviewer #4: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

Reviewer #4: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: (No Response)

Reviewer #2: Comments to the authors:

In the Abstract as well as in the results (main text) AOR sometimes expressed with three digits (decimals) and I other places two decimals (please consider and use effective digits “decimals”).

In the abstract “results section”: the AOR are sometimes very narrow (please explain).

In the introduction: word roundabouts are repeated “study demonstrated that roundabout significantly reduce -----“

In the rationale, the authors still need to emphasize the significance of the three types of crashes, this part of the introduction barely touched this point????

Statistical analysis:

- Rationale for considering p value of 0.2 at the univariate (bivariate) level to be incorporated in the multiple Logistic regression model???

- How the data were handled statistically: descriptive and inferential methods should be mentioned in this section

- What type of model was used (stepwise, or else), how the model was tested to be fit???

- How the variables were categorized to be suitable for the inclusion of logistic regression analysis?

- The reference group in the multivariate regression table is not consistent along the three types of crashes??? Please explain.

- Joint sensitivity analysis should be mentioned in this section “indication, methods and output”

Results:

- The previous comments on using the Chi-square test remained the same??? Non-specific, non-parametric test and can’t’ point out to the direction of significance???

- What software used to produce figure 2???

Reviewer #3: (No Response)

Reviewer #4: I think the author need to revisit some section and address the areas that have my comments. Refer to the manuscript PDF and extract my comments.

**********

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Reviewer #1: No

Reviewer #2: Yes: Tarek Tawfik Amin

Reviewer #3: Yes: Mohammad Ashraful Amin

Reviewer #4: No

**********

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Attachment

Submitted filename: PONE-D-24-17126_R1_Reviewed.pdf

pone.0315692.s004.pdf (5.9MB, pdf)
PLoS One. 2025 Jan 3;20(1):e0315692. doi: 10.1371/journal.pone.0315692.r004

Author response to Decision Letter 1


18 Oct 2024

Dear Editors and Reviewers,

We greatly appreciate the valuable comments and suggestions raised by reviewers. Please very kindly see our responses below, as well as the revised manuscript. We would be glad if you could have our manuscript reviewed again.

Best regards,

Chih-Wei Pai (Prof)

Graduate Institute of Injury Prevention and Control College of Public Health

Taipei Medical University

Reviewer 2:

1.1 In the Abstract as well as in the results (main text) AOR sometimes expressed with three digits (decimals) and other places two decimals (please consider and use effective digits “decimals”).

Author’s response: We appreciate the reviewer’s comment and suggestions. All AORs have been amended to two decimals (Please refer to lines 34 to 40 on page 2 in the manuscript).

1.2 In the abstract “results section”: the AOR are sometimes very narrow (please explain).

Author’s response: We appreciate the reviewer’s comment and question. The narrow confidence intervals (CIs) for the adjusted odds ratios (AORs) indicate high precision in our estimates. This precision is primarily due to our large sample size, which reduces variability and enhances reliability. For example, the AOR for "male as crash partner” in overtaking crashes is 1.28 with a CI of 1.25-1.33, reflecting a strong effect size and contributing to the narrow CI. Variability and heterogeneity in the data can affect CI width. Risk factors with more consistent effects across the dataset often show narrower CIs (e.g., a).

Katz, M. H. (2011). Multivariable Analysis: A Practical Guide for Clinicians and Public Health Researchers.

1.3 In the introduction: word roundabouts are repeated “study demonstrated that roundabout significantly reduces -----“

Author’s response: We appreciate the reviewer’s comment and suggestions. We have revised the manuscript. (Please refer to lines 74 to 76; page 4 in the manuscript):

“One study found that roundabouts with dedicated cycle tracks significantly lower the risk of injury for cyclists compared to those without such bicycle infrastructure.”

1.4 In the rationale, the authors still need to emphasize the significance of the three types of crashes, this part of the introduction barely touched this point????

Author’s response: We appreciate the reviewer’s comment and suggestions. We have revised the manuscript. (Please refer to lines 104 to110; pages 5 -6 in the manuscript):

“The high mortality rate from crashes on road segments underscores the significant risks linked to overtaking, rear-end, and door crashes. Overtaking, involving high-speed maneuvers, greatly increases the likelihood of severe accidents. Rear-end crashes, frequently triggered by sudden stops or aggressive tailgating, pose a persistent threat to cyclists. Furthermore, injuries sustained by cyclists striking an opening car door can be devastating due to the impacts from the door, ground, or vehicles behind. These critical issues highlight the urgent need for identifying risk factors for these crashes.”

Statistical analysis:

1.5 - Rationale for considering p value of 0.2 at the univariate (bivariate) level to be incorporated in the multiple Logistic regression models???

Author’s response: We appreciate the reviewer’s comment and question. In the first and second round of review, this reviewer expressed concerns over our use of Chi-square tests to examine the relationship between three crash types and the independent variables. We have now opted to estimate the crude odds ratio by univariate logistic regressions. Please kindly see Table 4 lines 259 to 260; page 15 in the manuscript.

1.6- How the data were handled statistically: descriptive and inferential methods should be mentioned in this section

Author’s response: We appreciate the reviewer’s comment and question. In response to your comment, we have revised the section on statistical handling to provide a more comprehensive explanation of both the descriptive and inferential methods employed. (Please refer to lines 182 to 191; page 9 in the manuscript).

“We initially utilized descriptive statistics to examine the distribution of crash types across various variables such as lighting conditions, speed limit, time of day, and day of the week. Demographic details concerning cyclist casualties encompassed age and sex, while information about the crash partner included vehicle type, age, and sex. This preliminary analysis provided a general picture of basic characteristics of the data and identification of potential patterns. For inferential analysis, we applied the Chi-squared test to investigate associations between crash type and various factors, including cyclist and motorist characteristics, vehicle features, roadway conditions, and temporal variables. We then estimated crude odds ratios by estimating univariate logistic regression and adjusted odds ratios by multivariate logistic models, respectively.”

1.8- What type of model was used (stepwise, or else), how the model was tested to be fit???

Author’s response: We appreciate the reviewer’s comment and question. We used multivariate logistic regression with backward selection to compute adjusted odds ratios (AORs). This method involves initially including all potential predictors and then iteratively removing the least significant variables based on their p-values.

In terms of model fit statistics, the final models were chosen based on the ρ2 statistics (e.g., b). The ρ2 statistics for the estimated models range from 0.327 to 0.398, indicating a reasonable model fit.

Ben-Akiva, M. E., & Lerman, S. R. (1985). Discrete choice analysis: theory and application to travel demand (Vol. 9). MIT press.

1.9- How the variables were categorized to be suitable for the inclusion of logistic regression analysis?

Author’s response: We appreciate the reviewer’s comment and question. Considering findings from past studies and selecting the model with the most parsimonious and robust statistical properties (e.g., goodness of fit, reasonable parameter magnitudes, and t-statistics), the variables were categorized and explained as follows:

First, age data were divided into four categories: ≤18 (not of legal driving age), 19–40, 41–64, and ≥65 (defined as older age by WHO standards). This classification highlights the different risk profiles associated with each age group.

The variable “time of crash” was classified into four periods—midnight (00:00–06:00), rush hours (07:00–08:00 and 17:00–18:00), non-rush hours (09:00–16:00), and evening (19:00–23:00)—to account for fluctuations in traffic patterns and accident likelihood throughout the day.

Speed limits were categorized by location into two types: nonbuilt-up areas (rural, ≥40 mph) and built-up areas (urban, 20–30 mph).

Day of the week was grouped as either weekday or weekend to evaluate variations in crash patterns.

These classifications have been commonly adopted in safety literature (e.g. , c; d).

Widodo, Akhmad Fajri, et al. "Walking against traffic and pedestrian injuries in the United Kingdom: new insights." BMC public health 23.1 (2023): 2205.

Wiratama, Bayu Satria, et al. "Joint effect of heavy vehicles and diminished light conditions on paediatric pedestrian injuries in backover crashes: a UK population-based study." International journal of environmental research and public health 19.18 (2022): 11689.

110- The reference group in the multivariate regression table is not consistent along the three types of crashes??? Please explain.

Author’s response: We appreciate the reviewer’s comment and question. The reference groups in the univariate and multivariate analysis have been assigned consistent. Please kindly see Table 4 lines 259 to 260; pages 14-15 and Table 5 lines 292 to 293; pages 16-17 in the manuscript.

1.11- Joint sensitivity analysis should be mentioned in this section “indication, methods and output”

Author’s response: We appreciate the reviewer’s insightful comments and suggestions. To illustrate the effectiveness of models with joint effects, we found that these models produced a higher log-likelihood at convergence and demonstrated an improved overall fit, as indicated by a better ρ² statistic.

Moreover, we performed a likelihood ratio test (e.g., e) to confirm the superiority of the joint effects models over the general models. The test statistic is given by:

χ² =-2[LL(〖β〗_G)-LL(β_J)]

Where LL (〖β〗_G) represents the log-likelihood at convergence for the general model, and LL(β_J) is for the joint effects model. This statistic follows a χ² distribution, with degrees of freedom equal to the difference in the number of parameters between the general and joint effects models.

Vuong, Q.H., 1989. Likelihood ratio tests for model selection and non-nested hypothesis. Econometrica 57, 307-333.

Results:

1.12- The previous comments on using the Chi-square test remained the same??? Non-specific, non-parametric test and can’t’ point out to the direction of significance???

Author’s response: We appreciate this reviewer’s comment. In addition to the multivariate logistic regression, we have now estimated the univariate logistic regression models. Please kindly see Table 4 lines 259 to 260; pages 14-15 and Table 5 lines 292 to 293; pages 16-17 in the manuscript.

1.13- What software used to produce figure 2???

Author’s response: We appreciate the reviewer’s comment and question. We recreated the figure from the previous article (e.g., f) using Photoshop and then edited it in PowerPoint.

Pai C-W. Overtaking, rear-end, and door crashes involving bicycles: an empirical investigation. Accid Anal Prev. 2011;43(3):1228-35.

Review 4

4.1 This has been addressed but in the main document start with background under the background sentences, conclude it with the objective, instead of presenting it as a separate paragraph.

Author’s response: We appreciate the reviewer’s comment and suggestions. We have revised the manuscript. (please refer to lines 23 to 27 ; page 2 in the manuscript):

“Background and Objective: Relevant research has provided valuable insights into risk factors for bicycle crashes at intersections. However, few studies have focused explicitly on three common types of bicycle crashes on road segments: overtaking, rear-end, and door crashes. This study aims to identify risk factors for overtaking, rear-end, and door crashes that occur on road segments.”

4.2 I understand this response; however, you need to conduct a normality check for all continuous variables like age and others like distance. This helps you to present either the mean age or the median age

Author’s response: We appreciate the reviewer’s comment and suggestions. Normality check for continuous variables is needed only while estimating a linear regression model. In our study, we estimated several logistic models in which testing for normality and homoscedasticity is not needed. For a comprehensive discussion on the derivation of logistic regression models, see Hosmer et al. (e.g., g).

g. Hosmer Jr, David W., Stanley Lemeshow, and Rodney X. Sturdivant. Applied logistic regression. John Wiley & Sons, 2013.

4.3 N(%) consider using this type of reforestation and removed the percentage signs from the table

Author’s response: We appreciate the reviewer’s comment and suggestions. We have removed the percentage signs and replaced them with “n (%)” in the tables 1, 2 and 3. (Please refer to lines 221-222 of page 11; lines 237 -238 of pages 12- 13; lines 254-255 of pages 13- 14 in the manuscript).

4.4 Data analysed should replace this, you didn't collect data

Author’s response: We appreciate the reviewer’s comment and suggestions. We have revised the manuscript. (Please refer to lines 160; page 8 in the manuscript):

“Data analysis”

4.5 I insist this be removed, but keep the proportion there and take this up and say N(%) or read other publication to see how this is presented

Author’s response: We appreciate the reviewer’s comment and suggestions. We have removed the percentage signs and replaced them with “n (%)” in the table1, 2 and 3. Please refer to lines 221-222 of page 11; lines 237 -238 of pages 12- 13; lines 254-255 of pages 13- 14 in the manuscript.

4.6 This has not been fully addressed. What the authors did was just introduced the corresponding Odds Ratios and P-Values but no result interpretation. Consider doing something like this, "having a HGVs as crash partners had 2.9 times higher likelihood of being involved in overtaking crash", something like this for all the significant variables.

Author’s response: We appreciate the reviewer’s comment and suggestions. We have revised the manuscript. (Please refer to 293 to 295; page 17 in the manuscript):

“In overtaking crashes, the presence of heavy goods vehicles (HGVs) as partners increases the likelihood by 1.3 times (AOR = 1.30, 95% CI = 1.27-1.33; p < 0.001).”

4.7 This has now been introduced, however, start with what you found, then bring the reason supporting those findings and lastly place it in the context of other study and cite it.

Author’s response: We appreciate the reviewer’s comment and suggestions. We have outlined the reasons supporting these findings and, finally, situated them within the context of existing research, providing appropriate citations. (Please refer to lines 344 to 347; pages 19-20 in the manuscript):

“Their large blind spots make it difficult for drivers to see cyclists, increasing the likelihood of crashes during overtaking [e.g., c]. Additionally, HGVs are less manoeuvrable compared to passenger cars, which reduces their ability to avoid crashes if cyclists suddenly enter their path [e.g., d]. The speed and distance perception issues between HGVs and cyclists further complicate the judgment of safe overtaking gaps[e.g., e].”

c. Marshall, Russell, and Stephen Summerskill. "An objective methodology for blind spot analysis of HGVs using a DHM approach." DS 87-8 Proceedings of the 21st International Conference on Engineering Design (ICED 17) Vol 8: Human Behaviour in Design, Vancouver, Canada, 21-25.08. 2017. 2017.

d. Frings, Daniel, Andy Rose, and Anne M. Ridley. "Bicyclist fatalities involving heavy goods vehicles: Gender differences in risk perception, behavioral choices, and training." Traffic injury prevention 13.5 (2012): 493-498.

e. Chew, Esther Li-Wen, and Amanda Stephens. "Human Factors That Impact HGV Drivers From Being Aware of VRUs Through Direct and Indirect Vision Mechanisms."

4.8 I think you need to reference this in the method section also where you discussed the data source. Some readers don't reach here

Author’s response: We appreciate the reviewer’s comment and suggestions. We have revised the manuscript. (please refer to 135 to 137; page 7 in the manuscript):

“The data that support the findings of this study are openly available at https://figshare.com/ndownloader/files/48173452.”

Attachment

Submitted filename: 10-18 PLOS Response.pdf

pone.0315692.s005.pdf (122.2KB, pdf)

Decision Letter 2

Sergio A Useche

29 Nov 2024

Risk Factors for Overtaking, Rear-End, and Door Crashes Involving Bicycles in the United Kingdom: Revisited and Reanalysed

PONE-D-24-17126R2

Dear Dr. Pai,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

Kind regards,

Sergio A. Useche, Ph.D.

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Dear Authors: Thanks for the amendments and clarifications provided along with your revisions. The paper can be published in its current version.

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #2: All comments have been addressed

Reviewer #4: (No Response)

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #2: Yes

Reviewer #4: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #2: Yes

Reviewer #4: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #2: Yes

Reviewer #4: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #2: Yes

Reviewer #4: (No Response)

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #2: All comments and recommendations had been addressed adequately, the manuscript is more clearer and significantly improved, should be considered for publication if possible.

Reviewer #4: I think the author need to check the comment on data collection and change it to data analysed. It has not yet been changed.

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #2: Yes: Tarek Tawfik Amin

Reviewer #4: No

**********

Attachment

Submitted filename: PONE-D-24-17126_R2.pdf

pone.0315692.s006.pdf (10.2MB, pdf)

Acceptance letter

Sergio A Useche

17 Dec 2024

PONE-D-24-17126R2

PLOS ONE

Dear Dr. Pai,

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now being handed over to our production team.

At this stage, our production department will prepare your paper for publication. This includes ensuring the following:

* All references, tables, and figures are properly cited

* All relevant supporting information is included in the manuscript submission,

* There are no issues that prevent the paper from being properly typeset

If revisions are needed, the production department will contact you directly to resolve them. If no revisions are needed, you will receive an email when the publication date has been set. At this time, we do not offer pre-publication proofs to authors during production of the accepted work. Please keep in mind that we are working through a large volume of accepted articles, so please give us a few weeks to review your paper and let you know the next and final steps.

Lastly, if your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

If we can help with anything else, please email us at customercare@plos.org.

Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Sergio A. Useche

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    Attachment

    Submitted filename: PONE-D-24-17126_Reviewed.pdf

    pone.0315692.s001.pdf (1.9MB, pdf)
    Attachment

    Submitted filename: Reviewer_comment1.pdf

    pone.0315692.s002.pdf (53.8KB, pdf)
    Attachment

    Submitted filename: 7-31 PLOS one Reviewer all 07312024 PAI.pdf

    pone.0315692.s003.pdf (623.6KB, pdf)
    Attachment

    Submitted filename: PONE-D-24-17126_R1_Reviewed.pdf

    pone.0315692.s004.pdf (5.9MB, pdf)
    Attachment

    Submitted filename: 10-18 PLOS Response.pdf

    pone.0315692.s005.pdf (122.2KB, pdf)
    Attachment

    Submitted filename: PONE-D-24-17126_R2.pdf

    pone.0315692.s006.pdf (10.2MB, pdf)

    Data Availability Statement

    This study utilised the British STATS19 database, which contains data on all road traffic accidents in the United Kingdom. The data that support the findings of this study are openly available at https://figshare.com/ndownloader/files/48173452.


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