4.1. Primary and secondary determinants—cause and effect diagram
Figure 11a,c show the driver’s central vision area at different speeds. In order to reflect the 50 km/h speed limit on the analysed street (i.e., the statutory built-up area speed limit in Poland), the driver’s central vision area at this speed was represented by a colour area on the images of the respective refuge islands, turned to grey scale in the fringe vision area. The latter is also a focal vision area, yet it requires the driver to move head and direct eyes sideways while driving. In line with the heuristic method principles and guidelines to use the cause and effect diagram to identify the determinants, the probable determinants noted on the analysed refuge island are presented in
Figure 11b as the next step of the mentioned analyses. The probable determinants in
Figure 11b were identified initially based on the TCMs located at the refuge islands shown in
Figure 11a,c.
The parameters recorded on the analysed refuge islands showed relevance of free view width “
a” in line with the already published findings [
34,
35,
36]. The studies described in [
34,
35,
36] investigated the effect of horizontal deflection treatment located before a median island on speed reduction past the island. It is a different case in this article, where we assess the slowing effect of TCMs and refuge island on the approach section to the latter. A double horizontal deflection treatment with 1.3 m offset to the right, followed by a 3.3 m offset to the left was found only in the study section WE1 (
Figure 11c). The free view width “
a” was large there, encompassing the whole lane with past the refuge island. The greatest speed differences were noted in this case, in all hourly traffic ranges. A 1 m offset (equal to half the refuge island width) to the right was noted at WE3 (
Figure 11c). The study sections WE2 and EW2 (
Figure 11a,c) featured a horizontal deflection to the right, clearly visible to the approaching driver, located before the junction with half the refuge island width offset, and a horizontal deflection to the right with the same offset on the section past the junction. The sections EW1 and EW3 had no deflections, giving small if any speed differences noted there (
Figure 11a). Horizontal deflection and free view are intrinsically linked to visibility, as shown in
Figure 11 and
Figure 12.
Figure 12a,c also show the driver’s central vision area against the clear sight width at the road surface level before the first refuge island (green area) and past the second refuge island (blue area). The issue of visibility at refuge islands was dealt with by several researchers [
25,
70,
71,
72,
73,
74,
75,
76]. The vision field depends on the driving speed and stopping distance (braking distance plus reaction distance) [
72,
74,
76,
77,
78,
79,
80]. In the above-mentioned articles vision fields varied, as besides the driving speed they depended on different in various countries standard reaction times and decelerations and also the road surface condition and the longitudinal profile of the carriageway.
For the purposes of this study 13 m clear sight width was adopted as per the guidance of [
77]. The field of vision analysis presented in
Figure 12 showed that in horizontal deflection layouts the fields of vision add up and a driver approaching the refuge island for pedestrians, sees a vehicle parked past the island as a side obstacle with a clear sight width past the island obstructed by the traffic signs located on the island (
Figure 11a). The combined effect of these determinants may be considered the most likely cause of the large speed reduction on the approach to WE1. The layout of traffic signs located on the refugee islands and the horizontal and vertical curves in the C junction also partly restricts the clear sight width past the WE3 island and past the junction (
Figure 12c). Horizontal deflection was also found there. However, the geometrical features, two lanes past the junction, a cycle lane and cars parked on the footpath, were found to have less effect on the speed reduction before WE3 [
3]. On the next section WE2, the configuration of these geometrical features was found to have much less effect on the speed reduction obtained before the refuge island (
Figure 12b).
On the sections located in the opposite traffic direction the geometrical features and the TCMs were not found to have any significant slowing effect. EW1 may be an exception to that, where the view of cars parked partly on the carriageway on the travel lane right-hand side and restricted view past the island due to traffic signs positioned on the refuge island could possibly have some effect on the small anyway speed reduction (
Figure 6a and
Figure 12a).
The next of the identified determinants concerns the applied painted taper before the refuge island. It is similar to the path angle issue addressed in [
35]. However, the TRL trial data [
35] cannot be compared with the results of this study, as the former (speed data from over a dozen TRL track rides by experienced drivers) lack the traffic volume information. Nevertheless, the TRL trial data may still be roughly compared with the results obtained in this study at 50 veh/h traffic volume level. Note that the data given in this article relate to the actual traffic conditions in an existing street, taking into account a number of other determinants. The taper design varied among the analysed refuge islands, with 1:5 tapers on WE1, WE2 and EW2 and 1:10 taper on WE3. EW1 and EW3 islands had no tapers at all (
Figure 12). The issue of tappers in front of refuge islands was tackled in [
25]. It was concluded there that 1:5 taper should be used in city traffic conditions, possibly with one or more painted tapers before. However, it should not be used at entrances to sections that include TCMs.
A determinant that may affect the desired slowing before refuge islands could also be a variation in the number of lanes heading in one direction before and past the junction. Such variation in the number of lanes occurs in the terminal sections WE3 and EW1 shown in
Figure 11 above and in
Figure A1 in
Appendix A. The next three determinants identified for the purposes of this study are related to the travel lane geometry (arrangement of straight sections and curves on the approach to and within the junction) and parking orientation on both sides of the street. Change of parking configuration from parallel to diagonal, or vice-versa, imposes a horizontal deflection, use of horizontal curves and the associated road markings (
Figure 4,
Figure 11 and
Figure 12).
4.2. Analysis of determinants based on Pareto chart
The identified determinants, as defined in section 4.1 above, were assessed using logical tautologies. Thus, if a determinant was confirmed on a given section on the approach to the refuge island it got quantification measure score of 1 as per the binary system. Otherwise it got 0 score. In some cases, 0.5 score was given as an intermediate value. This includes free view “
a” - (small) situations, in line with the conclusions of [
37] (WE2 and EW2 in
Table 3). Similarly, an intermediate score was given for 1:10 painted taper, this in line with the recommendations of [
25] (
Table 3 - WE3). Intermediate scores were given also where left hand curve was found in the junction (WE3 in
Table 3), as the horizontal curve configuration had a direct bearing on the visibility of the road section past the junction. A possibility of apparent carriageway narrowing past the junction was confirmed in two cases, possibly due to compromised visibility of the road surface past the junction (WE3 and EW1 in
Table 3). The determinants used on the analysed sections and their quantification scores are summarised in
Table 3.
Table 3 includes only the determinants that were found on the sections under analysis.
The classified quantification measures assigned to logical tautologies were separately and jointly. The Pareto chart (
Figure 13a) shows the 85th percentile speeds before the refuge island and their total scores. The upper part of the Pareto chart shows stratification of the 85th percentile speeds recorded before the refuge island at different hourly traffic volumes and the bottom part shows the confirmed determinants and total scores of the quantification measure applied to them. Having a closer look at the data presented in
Figure 13a we see that speed variation at the refuge island depends on the combined effect of all the above determinants and the traffic volume rather than any one of them on their own. The 85th percentile speed variations on the respective sections showed their strong relationship with free view and visibility parameters. That said, a strongest relationship was found for combination of the confirmed logical tautologies and the hourly traffic volume, especially for the volumes greater than 150–200 veh/h (
Figure 13). Similar analyses are presented for the mean speed variations before refuge islands (
Figure 13b). The mean speed analysis showed that it depended even stronger on the hourly traffic volume above the 100–150 veh/h range, and on the combined effect of the following determinants: free view, visibility, change of parking configuration and painted taper. However, this dependency is very complex. The joint analysis of the mean speed variation, traffic volumes, and the determinants showed that the more determinants are involved (including TCMs) the greater their overall effect on the speed of vehicles approaching a refuge island. For example, without painted tapers, with travel lane visibility before the island, without visibility of pedestrians approaching the island from the right hand side and poor visibility of the road surface past the junction on EW3 or no confirmed determinants as was the case on EW1 we got 85th percentile speed of about 50 km/h (
Figure 13a), i.e., the statutory built-up area speed limit in Poland and 40–45 km/h mean speed (
Figure 13b). Now, based on the above analyses, we can rate the analysed TCMs and other factors noted at the refuge islands as:
- (a)
effective (WE1)—with a change of on-street parking configuration from parallel to diagonal or vice-versa requiring the driver to change the travel path, 1:5 taper or road and island geometry designed to get free view “a” - larger so that a vehicle parked in the travel lane is visible as a side obstacle and the travel lane at the road surface level past the island is not visible by the driver approaching the island, altogether resulting in lower island approach speeds;
- (b)
moderately effective (WE2, WE3 and EW2) with narrower free view width of “a” - small, 1:5 or 1:10 painted taper and change in parking configuration and different ways of targeting parking spaces, which in combination produce different geometry and visibility configurations offering the driver a reliable assessment of the road situation during approaching and passing the island and resulting in moderate speed reduction;
- (c)
ineffective (EW2 and EW3) with “a” + free view, no change of parking configuration, no painted tapers, no horizontal deflection and no sight restrictions for the driver approaching and passing the island, discouraging speed reduction.
As mentioned, the speed reduction analyses conducted in this study considered, besides the 85th percentile speed, also the relative speed reduction in percent, calculated as a ratio between the 85th percentile approach speed and the block entry speed [
29] and various other speed reduction indicators [
31]. However, these parameters were assessed in relation to the free flow speed. Having in hand the two-day 24-hour survey data it was also possible could also analyse the effect of the geometrical features and TCMs in combination with hourly traffic volumes on the calculated approach speed parameters
v85 and
vav, estimated before refuge island. It was found that
v85 and
vav variations depended the hourly traffic ranges from free-flow conditions to the maximum of 500 veh/h at 50 veh/h intervals. The underlying cause of the two-day continuous survey was to support determination which of the analysed six pedestrian refuge arrangements turns to be the most effective in real traffic conditions (with 0–500 veh/h hourly traffic volumes) rather than in free-flow situation.
Next, heaving in mind the speed change effect on noise, safety and vehicle emissions, i.e., the factors intrinsically related to sustainable road construction, we compared the values of ∆
v85 and ∆
vav noted before the refuge islands with the block entry values of
v85 and
vav (
Figure 14). A detailed analysis of the obtained hourly traffic volumes together with the adopted determinants on ∆
v85 and ∆
vav the island approach speed difference depended on the identified determinants and the hourly traffic volume on a majority of the analysed sections. Noteworthy, this relationship was found to vary depending on the island geometry and the specific TCMs and traffic volume compilation. Highly relevant in this respect were the free view width and visibility of side obstacles, pedestrians and the road surface past the junction. Where the various determinants were confirmed (regarding the free view, visibility, painted taper angle and change of parking configuration), as the hourly traffic intensity increased, ∆
v85 and ∆
vav were found to decrease on the approach to the island. This may be due to lower block entry speeds or higher speeds just before the refuge island. The lowest speed difference was obtained for EW1 where only free view of “
a” - small and apparent carriageway narrowing past the junction were noted. Without a horizontal deflection or changed parking configuration the section offers very good visibility on the approach to and past the pedestrian island while the view of two travel lanes heading in the same direction past the junction and of the cantilevered traffic lights was found to have no slowing effect. WE2 is one exception in this analysis, in that it offered good view on constant geometry travel lane and on the cars parked on the footpath parallel to the road past the island and past the junction, despite the free view “
a” - small, 1:5 painted taper and a change of parking configuration. This being so, the obtained values of ∆
v85 and ∆
vav most probably depended on the hourly traffic volume only. In the case WE2 and EW3 the growing hourly traffic volume gradually increased the difference of these two speed parameters. On EW3, the travel lane does not change its geometry before the island and the change in the parking configuration past the island has no significant effect on the analysed speed differences before the island.
The above findings are apparently consistent with the findings of the simulator study by Akgol et al. and Aydin et al. [
33,
34]. The difference between these studies was in single lane narrowing of the two lane carriageway at the pedestrian crossing which is not the case in this study where there are two travel lanes running in opposite directions in all cases. For economic reasons, the authors of [
33,
34] recommended a one-sided splitter island on the right hand side of the travel lane before the refuge island, as is the case in WE2 and EW2 sections analysed in this study. Comparing their recommendations and the results presented in
Figure 13 and
Figure 14, it can be concluded that this arrangement would not be effective for refuge islands located on junctions. The second, more expensive option recommended in [
33,
34] are two one-sided islands on either side of the refuge island, as in our study section WE1. The above findings are apparently consistent by recommending for refuge islands located in junctions horizontal deflection by three islands, resulting in flattened U deflected path of travel instead of flattened “S” shape and one-sided island on the right hand side of the approach to the pedestrian refuge.
The findings of this study are also highly consistent with the findings presented in [
28] despite different study areas and different countries with different tempers and driving behaviours found there. In both cases lane narrowing was found to be the most effective treatment at refuge islands, accompanied by horizontal deflection, additional one-sided splitter islands on both ends of the island and painted tapers, that is the use of a few TCMs deployed within a short distance.