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TRANSCRIPT
UNIVERSIDADE
DE AVEIRO
Interpreted modeling for safety and emissions at roundabouts in
corridors
Projeto de Tese II
Aluno: Paulo Jorge Teixeira Fernandes – [email protected]
Orientadores: Prof.ª Doutora Margarida Coelho, DEM-UA
([email protected]); Prof. Doutor Nagui Rouphail, North
Carolina State University ([email protected])
Docente: Prof. Doutor Vítor Costa – [email protected]
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 2
Table of Contents
Index of Figures .................................................................................................. 4
Summary ............................................................................................................ 5
1. Introduction ..................................................................................................... 6
1.1. General Statement of the Problem .......................................................... 6
1.2. Objectives ................................................................................................ 6
1.3. Structure of the thesis .............................................................................. 7
2. Review of the Technical Literature ................................................................. 8
2.1. Introduction .............................................................................................. 8
2.2. Roundabouts in corridors ......................................................................... 8
2.3. Roundabouts at isolated intersections ..................................................... 9
2.3.1. Capacity ............................................................................................ 9
2.3.2. Emissions ........................................................................................ 11
2.3.3. Safety .............................................................................................. 13
2.4. Summary of literature review and motivations ....................................... 14
3. Methodology and Methods ........................................................................... 16
3.1. Proposed Tasks .................................................................................. 18
3.1.1. Numerical model for emissions assessment in corridors .............. 19
3.1.1.1. Definition of sub-segments ..................................................... 19
3.1.1.2. Development of models ......................................................... 20
3.1.2. Microscopic simulation platform of traffic, emissions and safety ... 22
3.1.2.1. Traffic Modeling ...................................................................... 24
3.1.2.2. Data collection ........................................................................ 25
3.1.2.3. Emissions Estimation ............................................................. 25
3.1.2.4. Safety ..................................................................................... 27
3.1.2.5. Calibration and Validation ...................................................... 28
3.1.3. Scenarios evaluation .................................................................... 30
3.1.3. Multi-objective analysis ................................................................. 30
3.1.3.1. Micro simulation optimization formulation............................... 30
3.1.3.2. Genetic Algorithms ................................................................. 31
4. Results ...................................................................................................... 35
4.1. Introduction and objectives .................................................................. 35
4.2. Selected corridors and field measurements ........................................ 35
4.3. Discussion and Results ....................................................................... 38
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 3
4.3.1. Characteristic Speed Trajectories ................................................. 38
4.3.2. Characteristic Acceleration and deceleration Trajectories ............ 40
4.3.3. Segments and Sub-segments Emissions ..................................... 42
4.3.4. Emissions per unit distance .......................................................... 43
4.4. Conclusions ......................................................................................... 45
5. Papers in Publication ................................................................................ 46
5.1. Papers published (or accepted for publication) in scientific journals ... 46
5.2. Book Chapters .................................................................................... 46
5.3. Conference proceedings ..................................................................... 47
6. Future Tasks ............................................................................................. 48
6.1. Papers in preparation .......................................................................... 48
Acknowledgments ............................................................................................ 48
References ....................................................................................................... 49
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 4
Index of Figures
Figure 1: Tasks of the work plan proposed for this Doctoral Research. .......... 18
Figure 2: Segments and sub-segments definition of a roundabout corridor and
illustrative speed profile. ................................................................................... 20
Figure 3: Methodological overview for the characterization of traffic and
emissions in corridors. ...................................................................................... 22
Figure 4: Methodological simulation framework of the modelling platform. ..... 23
Figure 5: Basic structure of NSGA-II algorithm. ............................................... 34
Figure 6: Aerial View of the Two Data Collection Roundabouts Corridors and
segments identification (black color-North-South; red color-South-North): a) La
Jolla; b) Avon (Source: http://www.arcgis.com). ............................................... 36
Figure 7: Speed trajectories by distance travelled for each through movement by
corridor: a) La Jolla (North-South); b) La Jolla (South-North); c) Avon (North-
South); d) Avon (South-North). ......................................................................... 39
Figure 8: Acceleration/Deceleration cycles by distance travelled for each through
movement by corridor: a) La Jolla (North-South); b) La Jolla (South-North); c)
Avon (North-South); d) Avon (South-North)...................................................... 41
Figure 9: CO2 Emissions (g) per vehicle for each sub-segment across the
roundabouts corridors: a) La Jolla (North-South), b) La Jolla (South-North); c)
Avon (North-South); d) Avon (South-North)...................................................... 43
Figure 10: CO2 Emissions (g/km) per unit distance for each sub-segment across
the roundabouts corridors and overall corridor: a) La Jolla (North-South), b) La
Jolla (South-North); c) Avon (North-South); d) Avon (South-North). ................. 44
Interpreted modeling for safety and emissions at roundabouts in corridors
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Summary
During the past few years, roundabouts have experienced a significant increase
and are now widely used in many countries. Scientific research has shown that
the operational performance of roundabouts installed at isolated intersections
depends on its design features and also of the traffic streams characteristics,
which lead to a trade-off among capacity, safety and emissions. Furthermore,
there is a lack of evidence about the vehicle’s performance of roundabouts in a
series along a corridor in terms of emissions and fuel use.
The goal of this Doctoral research will be focused on a comparison of energetic
and environmental performance of different roundabouts in corridors. To achieve
the proposed objectives, several roundabouts corridors will be analysed using
empirical approaches, as well as traffic and emission models. Using multi-
objective analysis, this work will expect to identify the most optimized traffic
system both in terms of energy use, emissions and traffic performance.
This report is an ongoing work from the course “Thesis Project I” in which a review
of the technical literature, the main motivations, the main objectives as well as
the research tasks were developed.
In this course, Thesis Project II, a more comprehensive description of the
methodology used on this thesis topic is performed. More specifically, it is
focused on the description of the selected methods to accomplish the tasks of
this thesis. Moreover, some preliminary results and future tasks are also
provided.
Section 1 highlights the objectives and the structure of this research, followed by
the update of the technical literature review (see Section 2). The presentation of
the selected models is made in the section 3. This report finishes outlining the
developed work in Section 4.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 6
1. Introduction
1.1. General Statement of the Problem
Roundabouts are proven to be a safety countermeasure for intersections (1).
Roundabouts reduce the unnecessary number of stops for vehicles and improve
the capacity, compared to stop-controlled intersections. Roundabout design
imposes different driver behaviours compared to signalized or stop-controlled
intersections. Roundabout design causes drivers to decrease vehicle’s speed
and decelerate as they approach the roundabout, and enter the circulating traffic
and accelerate as they exit the circulating traffic. Roundabout operation is
affected by different levels of vehicle demand at entry approach and in circulating
lanes. During congested periods long queues at the entrance or blockage in the
circulating and exiting lanes may occur. In order to take advantage of operational
benefits of roundabouts, there has been an increasing interest among engineers
and designers to build multi-lane roundabouts for higher flow rates or higher
speed corridors.
During the last three decades, roundabouts have gained increased popularity and
are now widely used in many countries. Scientific research has shown that the
operational performance of individual roundabouts depends of its geometry and
also of the traffic streams characteristics, which leads to a trade-off between
safety and emissions. Furthermore, there is a lack of evidence about the vehicles’
performance in roundabouts systems installed in corridors in terms of emissions.
1.2. Objectives
The main objective of this Doctoral research is to assess the impact of the
presence of roundabouts systems at corridors on traffic performance, fuel use
and emissions.
To accomplish the established objectives, a wide range of geometrics, traffic and
crashes data will be obtained for multi-lane roundabouts located in corridors. The
study will be focused on the effects of different traffic parameters (pedestrians
influence, geometry configuration, distance between each roundabout within the
corridor, and traffic volumes) on energy consumption and emissions.
Thus, the main objectives of this research:
1. To gain an understanding of the effect between different specific geometric
features of corridors with roundabouts (e.g. distance between consecutive
roundabouts, circulating areas, number of approach lanes, deflection angle,
land use parameters) with the environmental variables, in particular, carbon
dioxide (CO2), carbon monoxide (CO), nitrogen oxides (NOX) and
hydrocarbons (HC) emissions;
2. To compare corridors with roundabouts emissions from well-characterized
scenarios according to the Portuguese reality;
3. To perform a multi-objective analysis to identify the most optimized traffic
system both in terms of traffic performance, energy use and emissions.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 7
1.3. Structure of the thesis
In this section the structure of the thesis is suggested. It is proposed a layout
composed of seven chapters:
1. Introduction and Objectives
2. Review of technical literature
3. Safety impact on roundabouts corridors
3.1. Methods
3.2. Main Results
3.3. Concluding remarks
4. Energy and emissions impact on roundabouts corridors
4.1. Methods
4.2. Main Results
4.3. Concluding remarks
5. Multi-objective analysis
6. Conclusions and Future Work
7. References
The introduction will set the problem statement, state the objectives and will
explain the contribution of the research.
The review of the technical literature will provide a critical assessment of previous
research efforts and its relationship with the present work.
Chapters 3 and 4 will describe the developed methodology and results obtained,
for each impact. First, Chapter 3 will describe the safety impact analysis (namely
the crash data inventory as well as the development of crash prediction models
for corridors with roundabouts) and its results. Chapter 4 will be dedicated to the
description of numerical models to assess the emissions impact.
Chapter 5 will combine both domains (safety and emissions) and describe the
development of an algorithm to perform a multi-objective evaluation with the main
goal of optimizing roundabout corridors systems in the field of emissions and
safety.
Chapter 6 will be a critical analysis of the work performed, a summary of the contributions and will point out future directions of research. Finally, Chapter 7 will be the list of references used.
Interpreted modeling for safety and emissions at roundabouts in corridors
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2. Review of the Technical Literature
This chapter offers a review of the most relevant studies focused on the general
analysis of roundabouts. The literature review is divided into four main sections.
Section 2.1 describes a brief overview of roundabouts topic. Then, section 2.2
presents the most significant studies in corridors with roundabouts. In turn,
section 2.3 focuses on the existing research on roundabouts installed at isolated
intersections in terms of capacity, emissions and safety. Finally, the most
important conclusions of the literature review and the major motivations of this
thesis topic are explained in the section 2.4.
2.1. Introduction
One-way circular intersections were created by Eugene Henard, in 1877 (2).
Since the adoption of a yield-at-entry regulation in 1966 in Great Britain (3),
roundabout design has evolved from the use of larger circles with emphasis on
merging and weaving to small compact roundabouts.
There has been a significant increase in the deployment of roundabouts in the
past years in the North-America and in Europe. Currently there are approximately
2,300 and 130 roundabouts in place across the United States and Canada,
respectively (4). Similarly, the number of roundabouts constructed in several
countries such as Germany, Italy, Portugal, Spain and United Kingdom has been
relevant. In France, for instance, it is estimated that there are more than 30,000
roundabouts (5), and in Sweden over than 2,000 roundabouts have been
implemented since the mid 1980s (6).
From that point on, there has been high interest and significant research on
roundabouts because of the simplicity in their design, operations and safety (1).
These traffic facilities provide higher capacity levels in intersections compared to
stop-controlled intersections (7) and are most robust concerning to the reduction
of the unnecessary number of vehicle stops (8). The empirical delay formula for
roundabouts in the Highway Capacity Manual (8) demonstrated that the delay at
roundabouts can be either small or the same as verified in all-way-stop-controlled
intersections. Regarding the safety, there is a greater consensus to the benefits
of roundabouts for motor vehicles and for pedestrians compared to other
intersection forms (1). According to the Federal Highway Administration (FHWA),
there was a significant reduction in injury crashes of converting signalized and
two-way-stop-controlled intersections to roundabouts (7).
2.2. Roundabouts in corridors
In this context, roundabouts in corridors represent a traffic calming technique with
the main aim of improving road safety by reducing vehicles speed. Moreover,
they enable U-turns on access restricted roadways (divided roadways with turn
restrictions) and allow flexibility in maximizing intersection capacity without the
need for excess turn lane storage or additional receiving lanes (9).
Interpreted modeling for safety and emissions at roundabouts in corridors
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A typical concern for use of roundabouts in a series along a corridor is how flow
will be impacted. Along a main corridor with traffic signals, an effort is usually
made to coordinate the signals or provide for progression on so that a significant
number of vehicles can proceed through the arterial without being stopped. A
series of roundabouts forces all vehicles to slow at every roundabout (9). Another
concern about corridors with roundabouts is that how vehicle emissions will vary
according to the geometrical characteristics of roundabouts along the corridor.
These specifics design features could have a significant effect on pollutant
emissions, namely in urban and rural areas.
Several researchers have investigated and developed algorithms for signalized
corridors to improve safety (10, 11) or to minimize fuel consumption and
emissions (12, 13). The few studies carried out in corridors with roundabouts
raise some uncertainties about their effectiveness. Hallmark et al. (14) recorded
marginal benefits in improved traffic flow of roundabouts within signalized
corridors over stop and signal control intersections. In (15), an on-road
assessment of the emission impacts of roundabouts compared with stop
intersection and roundabout with signal control intersection along two corridors
was conducted. The findings suggested that, under uncongested conditions,
roundabouts did not perform better than four-way, or signal controlled
intersections in the same corridor. Nonetheless, each studied corridor (14, 15)
only contained one roundabout throughout its length. Just recently, a lane-based
micro-analytical network model was developed and implemented in aaSIDRA
(aaTraffic Signalised and Unsignalised Intersection Design and Research Aid)
Intersection Model (16). This model allows estimating the impacts of lane-
utilization on network performance and can be applied in roundabouts systems,
but is not able to assess emission impacts of those facilities. Krogscheepers and
Watters (17) assessed the average speeds, delays and travel times of six
roundabouts along a rural corridor in South Africa and compared that with fixed-
cycle traffic signals. The authors concluded that roundabouts offered operation
advantages over traffic signals, but they recognized that roundabouts were
inefficient for high demand scenarios.
2.3. Roundabouts at isolated intersections
Roundabouts are usually analyzed at three levels: capacity, emissions and
safety. This section provides a brief summary of the most important studies with
respect to the operational performance of roundabouts in these fields.
2.3.1. Capacity
The majority of the existing roundabouts capacity models are based in three
methodologies: fully-empirical, gap acceptance and simulation (18). Any of
methodologies cannot fully describe the complex behavioral and physical
processes involved in roundabout approaches movements.
Empirical regression models were created through statistical multivariate
regression analyses with the main aim of establishing relationships between
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 10
observed entry capacity, circulating traffic flows and other variables with a
meaningful impact on capacity. However, they are subjected to statistical and
sampling constraints, namely: a) reduced transferability among different case
studies; b) only included oversaturated traffic flow conditions, and c) the large
amount of data collection to perform its calibration (18). The LR942 Linear
Regression Model (6), French Girabase Model (19) or based on Neural Networks
are the well-known empirical regression models (20).
Gap acceptance modes focused on the distribution of gaps and also on the
usefulness of these gaps to the approaching vehicles, but are limited by the
relatively weak relationships between these models and design features (18).
The estimation of the critical gap (minimum time gap in the circulating stream
which an entering driver will accept) and the follow-on headway (time between
two consecutive queued vehicles) parameters is fundamental during the process.
The best-known gap acceptance model for roundabouts was created by
Troutbeck, in 1989 (21). The circulating headway distribution was the Cowan M3
distribution, in which a proportion of vehicles was assumed to be aggregated with
a fixed headway while remaining vehicles had exponentially distributed
headways. Wu (22) introduced a universal procedure for calculating the capacity
at non signalized intersections by using a queuing theory. The High Capacity
Manual (HCM) included a gap acceptance model (8) based on the number of
entry and circulating lanes, and whether the entry lane was nearside or offside.
In summary, the main differences of above approaches lies in the assumed
headway distributions, and the formulation of the relevant parameters such as
the proportion of clustering (18). Nonetheless, it is recognized that they still
require more improvements. First, the limited priority process in roundabouts is
rarely included (23). Second, it is demonstrated that pedestrian’s crossings have
effects in the capacity of entry and exit sections of the roundabouts (24). Third,
there is a lack of reliable estimations about some of parameters that are present
in most gap-acceptance formulas (25). Fourth, existing capacity models are not
able to assess the overall performance of unconventional roundabouts and
innovative solutions, such as the turbo-roundabouts.
The stochastic microscopic simulation is an alternative approach that provides a
good flexibility in terms of the assessment of capacity models in roundabouts.
Their validation and reliability is highly dependent of an accurate representation
of vehicle–vehicle interactions, which can be difficult to replicate, even with actual
observed data (18).
In (26), the traffic delay of roundabouts was compared to yield control, signal
control, two-way stop control, and four-way control intersections by using
aaSIDRA model without any field data. The scenarios for roundabouts included
different direction left turns (10%, 20% and 30%) under different traffic flows while
two-way stop control, four-way stop control, signal control, and yield control were
modeled with a 10% left turn. Roundabout showed as the most effective for heavy
traffic intersections with two-lane approaches. Alternatively, Meredith and Rakha
demonstrated that, under over-saturated conditions in the approach lane (e.g.
traffic flows below 500vph), signal control was not necessarily worse than
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 11
roundabout (27). Bastos Silva and Vasconcelos (24) studied the effect of exit
pedestrian crossing in the upstream entry capacity and average speed, under
different levels of motorized and pedestrian demand. The findings suggested that
the crosswalk near to the exit provided a decrease in terms of traffic performance.
For high traffic flows, the authors also recommend the possibility to install the
crosswalks further away from the exit. In the research of Zheng and Qin (28), it
was demonstrated that roundabouts recorded lower traffic delays than pre-timed
traffic signals at intersections with moderate queue lengths. They also predicted
that roundabouts efficiency decreased as queues length increased.
2.3.2. Emissions
In spite of having an extensive body of research in macroscopic (e.g. COPERT
(29), MOBILE6 (30) or TREM (31)), mesoscopic (e.g. TEDS (32)), and
microscopic (VT-MICRO (33), CNEM (33), VSP (34) and MOVES (35)) emission
models, their applications on roundabouts case studies are very limited.
COPERT (29) and MOBILE6 (30) models, for instance, are not recommended in
micro scale impact of corridors with traffic interruptions (e.g. pay tools,
roundabouts) (36, 37) since they assumed that emission rates are constant for
all speed ranges. The mesoscopic aaSIDRA intersection model includes an
emission module that uses a four-mode elemental model (cruise, deceleration,
idle and acceleration to cruise) to estimate fuel consumptions and pollutant
emissions. Nevertheless, the impact of each stop and go cycles are not taken
into account (16). Traffic and Emission Decision Support (TEDS) model can be
applied in urban corridors, but only single lane roundabouts are included in this
analysis (32).
The microscopic models aim to provide accurate emissions estimates at the
roundabouts operation levels. One of the most representative and widely
accepted micro-scale models is the Comprehensive Modal Emission Model
(CNEM) (33). This model provides accurate emissions estimation of Light-Duty
Vehicles (LDV) under different vehicle’s operating modes. However, it lacks
accurate emissions predictions at specific situations. VT-Micro is able to estimate
emission rates and fuel consumptions per vehicles based on their instantaneous
speeds and accelerations. VT-micro’s main disadvantage is the not direct
inclusion of road grade parameter on emissions calculations (33). The Motor
Vehicle Emission Simulator (MOVES) (35) allows estimating emission rates that
vary with speed for particulate matter (PM) and greenhouse gases (GHG), but is
most designed for the US reality.
Frey et al. (30, 34) developed the “Vehicle Specific Power” (VSP) methodology
to estimate emissions for a single vehicle. On-board vehicle activity and
emissions measurement using portable emissions measurement systems
(PEMS) enable data collection under real-world conditions at any location
traveled by vehicles on a second-by-second basis. This microscopic model is
based on vehicle speed, acceleration/deceleration and road grade and has
proven to be very effective in estimating instantaneous emissions for both light-
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 12
duty gasoline and diesel vehicles (38, 39) as well as in transit buses (40). A
drawback of this approach is the little detail on fleet categories. Some previous
studies have documented the effective use of VSP in analyzing emission impacts
of roundabouts footprints in urban corridors both in the United States (e.g. (41,
42)) and in Europe (e.g. (41, 43-45)).
In the following paragraphs, the most relevant studies on roundabouts operations
on vehicular emissions are reported. These studies are divided in two main
groups: in the first group (41-44, 46, 47), only field data was used; in the second
group (45, 47-50), a microscopic traffic model was linked with an external
emission model.
The research of Coelho et al. (41) and Salamati et al. (44) should be highlighted.
Coelho et al. (41) identified three characteristic speed profiles for a vehicle
approaching both a single and multi-lane roundabouts: 1) no stop; 2) stop once
and 3) multiple stops. They also found that the relative occurrence of these
profiles were dependent of the entry traffic and conflict traffic flows. Based on
these findings, the same authors developed regression models for approaching
vehicles in single-lane roundabouts in urban areas. Built on above research,
Salamati et al. (44) developed similar regression models in each approaching
lane (right vs. left) at multi-lane roundabouts. Whilst methodologies of above
studies are generalized to estimate emissions of roundabout footprints, its
application cannot be extended to corridors. This is due that only traffic data
related to the downstream and the circulating Areas of the roundabouts is
considered. Even if proposed methodologies were applied for each roundabout
along a corridor, the contribution of mid-block sub-segments, that is, within two
consecutive roundabouts, would not be included.
In a Swedish study (46), an environmental assessment was conducted in order
to compare signalized and yielded traditional intersections on arterials which
were rebuilt as small single-lane roundabouts. The authors found that
roundabouts can reduce emissions up to 29% and 21% of CO and NOX,
respectively. Rakha et al. (51) demonstrated that both single and two-lane
roundabouts yielded reduce traffic delays and CO emissions than one-way stop
controlled in a three-way intersection. Anya et al. (43) showed that the
environmental benefits posed by the conversion of a signalized intersection to a
two-lane roundabout in an urban corridor was only relevant, at the intersection-
level, in the right turns movements from the minor street to the main street. They
also found that, at the corridor-level, turning movements from the main street
produced higher total emissions while turning movements from the minor street
produced lower total emissions after the roundabout implementation. More
recently, Mudgal et al. (42) demonstrated that acceleration events at the
circulating and exiting areas of roundabout contributed to more than 25% of
emissions for a given speed profile.
The majority of the studies that used a micro-simulation approach focused on the
comparison between single e multi-lane roundabouts with others intersections
forms.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 13
Mandavilli et al. (48) showed that both CO2 and CO were reduced by 42% and
59%, respectively, on stop-controlled intersections which were replaced by
roundabouts. Ahn et al. (49) used VISSIM and INTEGRATION in conjunction with
air quality models (CMEM and VT-Micro) to compare emissions at a signalized,
stop controlled intersection and high-speed roundabout. The research showed
that roundabouts yielded fewer delays and queue lengths, but produced more
emissions than other alternatives. Chamberlin et al. (50) examined CO and NOX
emissions produced by a three-leg intersection and a single-lane roundabout.
The authors applied PARAMICS traffic model with MOVES and CNEM emission
models. Both models estimated higher emissions for the roundabout when
compared to the three-leg intersection. Likewise, Rakha and Jackson (47)
employed INTEGRATION and VT-Micro to assess the environmental impacts of
an isolated intersection served by a single-lane roundabout, traffic signal, all-way
and two-way stop controlled intersections. The roundabout predicted to have
lower emissions of CO2, CO, NOX and HC, compared to other alternatives.
Vasconcelos et al. (45) compared capacity, safety and emissions levels from a
turbo-roundabout compared with a conventional single-lane and two-lane
roundabouts. AIMSUN traffic model and VSP emission model were used.
Assuming equal traffic demands, turbo-roundabout produced more CO2 and NOX
emissions than two-lane roundabout. Turbo-roundabout also showed as less
robust concerning the directional splits of the entry traffic, namely when most of
the vehicles turned left.
In summary, the candidate did not find a definitive conclusion about the
environmental benefits from roundabouts operations. It should be noteworthy that
the majority of them did not assess the capability of the traffic models to capture
real-world vehicle power distributions. Previous studies demonstrated that
microscopic traffic models tend to overestimate acceleration and deceleration
values in relation to the observed data (52, 53).
2.3.3. Safety
Although the mostly of crashes at roundabouts results in property damage only
(54), there are an extensive body of research focus on demand and improvement
of crash models (7, 55-57) applied to roundabouts and intersections.
Nonetheless, the limited ability of above safety models to properly reflect crash
causality has its source in cross-sectional analysis applied to the estimation of
the intrinsically complex safety factors with highly aggregated and frequently poor
quality of data. In this context, a clear theoretical approach to understand the
theoretical assumptions that are behind of that models is needed. Moreover, the
analysis of the different surrogate indicators associated to such models (58-60)
and their potential for crashes estimation must be considered (61).
Dijkstra et al. (61) applied PARAMICS traffic model to predict the number of
crashes, studying the possibility of the relationship between calculated traffic
conflicts and crashes. Their findings suggested a Poisson log-linear statistical
relationship between the number of simulated conflicts and observed crashes.
Zheng et al. (28) performed an exhaustive analysis of roundabout crash patterns
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 14
in the United States (US) and developed a method to calculate crash type
percentages. In (62), four crash prediction models were developed to evaluate
the potential of speed as a measure of the road safety.
The micro simulation models have been played an important role in the field of
safety analysis of roundabouts as occurred in emissions and capacity fields.
FHWA developed a trajectory-based post-processing tool in its Surrogate Safety
Assessment Model (SSAM) (63) to analyze and evaluate conflict points from
some traffic models (e.g. VISSIM, AIMSUN). This tool processes trajectory files
that store the speed, acceleration and position of each simulated vehicle during
each simulation time-step and calculates surrogate safety measures and also
classifies traffic conflicts based on conflict angle. Al-Ghandour et al. (64)
developed conflict prediction models for five zones of single lane roundabout by
using a Poisson regression, and compared them with simulated traffic conflicts
obtained from SSAM model. The authors found good correlations between SSAM
predicted conflicts and crashes, but recognized the need for additional research
focus on the comparison between SSAM outputs and real crash data.
Huang et al. (60) proposed a two-stage procedure to calibrate and validate
VISSIM to be used in conjunction with SSAM model to assess safety at signalized
intersections. The authors concluded that the Mean Absolute Percent Error
(MAPE) for total conflicts are predicted to be reduced from 43% to 24%. Data
analysis results showed that there was a reasonable consistency between the
simulated and the observed rear-end and crossing conflicts. However, they
recognized that the simulated conflicts generated by VISSIM and SSAM were not
good indicators for traffic conflicts which were generated by unexpected driving
maneuvers such as illegal lane-changes in the real world. Vasconcelos et al. (65)
recognized that despite some limitations regarding the nature of traffic models,
SSAM is capable of evaluating the safety of different roundabouts layouts. Some
authors suggested specific procedures to calibrate and validate simulation
models for safety assessment but this is still an ongoing research field (66, 67).
2.4. Summary of literature review and motivations
From above-mentioned studies, two main relevant gaps in the research were
observed:
The assessment of the environmental and safety impacts were found in
isolated roundabouts rather than a sequence along a corridor;
It is noted that vehicle aspects of safety and fuel efficiency / emissions are
treated independently and not in an integrated manner.
With these concerns in mind, one of the main motivations of this research is to
investigate the impact of the different sub-segments of each pair of roundabouts
that are installed in corridors on speed enforcement and pollutant emissions. The
second motivation is to develop an advanced statistical model to predict crashes
as a function of parameters such as traffic volumes, geometry and driver behavior
conditions appropriate for Portuguese facilities.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 15
This research seeks to contribute to a methodology that can incorporate the
corridor geometric features and traffic stream characteristics to assess traffic
performance, energy use and emissions. This methodology can be useful to the
local authorities to the support of decisions in the field of capacity and emissions.
The originality and scientific quality of the proposed research lie in the integration
between these various fields of inquiry in order to understand their relationship
and in the application of the developed methodology to any corridor with
roundabouts. The integration of three areas on those uninterrupted flow facilities
is worthy of research and analysis at this stage.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 16
3. Methodology and Methods
The research work plan consisted of six interrelated tasks:
Task 1: Literature Review.
Task 2: Development of numerical models to assess the emissions
impact of vehicles in roundabouts installed at corridors.
The numerical models include different sub-models to estimate vehicular
emissions in urban corridors taking into account traffic characteristics and
design geometric features.
Task 3: Development of a microscopic simulation platform of traffic, emissions and safety.
This approach attempts to represent traffic, emissions and road safety in
order to evaluate traffic performance evaluation in world study cases.
Task 4: Application of the microscopic platform to examine alternative scenarios.
Both traffic systems will be compared, in order to study several alternative scenarios, namely, different traffic flow demands (peak and off-peak periods), change in pedestrian flows, and change in driver’s behavior (reduction of vehicle’s speed). This task also intends to compare overall corridor performance with individual roundabout and intersection.
Task 5: Application of a multi-objective analysis.
This task focused on the development of an algorithm to perform a multi-objective evaluation with the main goal of optimizing roundabouts corridors systems in the field of emissions and safety.
Task 6: Thesis Writing.
A summary of the proposed tasks is depicted in Figure 1. The expected duration
of this research is four years (1st of June 2013 – 31st of May 2017). The major
tasks in the first year and second years will be to collect the data different
roundabouts corridors as well as to investigate the main gaps of the current
literature with respect of this thesis topic (&task1). Additionally, the development
of numerical emission models for corridors with roundabouts will be made
(&task2). In the second and third years (1st of September 2015 – 31st of August
2016), the modelling simulation platform, the integration of the emission module
with the traffic model, as well as the calibration and validation procedures will be
developed (&task3). After that, traffic scenarios will be implemented and analysed
(&task4). The modelling platform will be supported by VISSIM model for traffic
simulation, and Vehicle Specific Power methodology for emissions estimation.
Next, a multi-objective analysis (&task5) will be made in order to compare the
results obtained for different systems of roundabouts. In the last year, the written
of this thesis will be done (&task6). The evolution of activities is described in
Table 1.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 17
Table 1: Evolution of the proposed activities.
Year Month Task1 Task2 Task3 Task4 Task5 Task6
2013
VI
VII
VIII
IX
X
XI
XII
2014
I
II
III
IV
V
VI
VII
VIII
IX
X
XI
XII
2015
I
II
III
IV
V
VI
VII
VIII
IX
X
XI
XII
2016
I
II
III
IV
V
VI
VII
VIII
IX
X
XI
XII
2017
I
II
III
IV
V
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 18
Figure 1: Tasks of the work plan proposed for this Doctoral Research.
3.1. Proposed Tasks
In the following sections, the above tasks are presented and characterized. Since
the literature review (task 1) was done during the course “Project Thesis I”, only
the tasks 2, 3, 4 and 5 are explained.
TASK 1: Literature Review
TASK 2: Numerical emissions model
for roundabouts in corridors
TASK 3: Traffic, emission and safety
modelling
TASK 4: Scenarios Evaluation
TASK 5: Multi-objective optimization
TASK 6: Thesis Writing
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 19
3.1.1. Numerical model for emissions assessment in corridors
This section quantifies emissions impacts of corridors with roundabouts which includes a characterization of the different sub-segments along the corridor as well as the data needed to develop the numerical model.
3.1.1.1. Definition of sub-segments
Each roundabout corridor is divided into multiple sub-segments in order to
quantify the emissions impacts and identify the segments with consistently high
emissions. This level of segmentation is motivated by changes in speed as
drivers decelerate while approaching the roundabout, transverse through the
circulating lanes and accelerate while exiting the roundabout.
In order to be consistent with Highway Capacity Manual (HCM) Urban Street
(Chapter 17) the corresponding Urban Street segment is defined from
downstream yield lane from one roundabout to upstream of yield lane of the
adjacent roundabout (in the direction of traveling) (68).
The proposed segmentation is illustrated in Figure 2 for a specific through
movement. The exhibit shows two pairs of roundabouts RBT1/RBT2 and
RBT2/RTB3, separated by (Urban Segments) B and C, respectively. Based on
vehicle activity data and patterns in speed profiles, the four different sub-
segments are identified. For each of these sub-segments the speed and
acceleration patterns are different. In the case of Segment A (remaining
segments have similar descriptions):
Sub-segment A1: Vehicle decelerates to negotiate the circulating area of RBT1 and then accelerates as it is leaving the roundabout (deceleration/acceleration pattern);
Sub-segment A2: Vehicle accelerates after exiting the roundabout back to cruise speed (acceleration only);
Sub-segment A3: Vehicle drives at cruise speed without significant acceleration or deceleration rates (constant speed);
Sub-segment A4: Vehicle starting to decelerate while approaching the next roundabout (deceleration only).
The sub-segments A1, B1 and C1 corresponded to the downstream influence of
each roundabout, and B4 and C4 corresponded to the upstream influence of each
roundabout. Midblock sub-segments are associated to the sub-segments A3 and
B3. For the purpose of analysis and supported by empirical measurements, the
downstream, midblock and upstream sub-segments will be assumed to be equal
in length.
Roundabouts Influence Area (RIAs) is defined as the roundabout circulating area
and any upstream and downstream distance needed for
deceleration/acceleration from/to free-flow speed (unimpeded speed) through the
corridor. It is important to note that in the case of closely spaced roundabouts,
the RIA from an upstream roundabout might overlap with an RIA from a
downstream roundabout and therefore the vehicle would not get a chance to
reach free-flow or cruise speed (sub-segment A3). Therefore sub-segment A3
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 20
might not be available for some parts of a roundabout corridor and such design
characteristic has an impact on vehicle speed profile and therefore emissions.
Figure 2: Segments and sub-segments definition of a roundabout corridor and illustrative speed profile.
3.1.1.2. Development of models
From the literature, it is clear that there is a lack of numerical models that are able
to quantify emissions at corridors with roundabouts. The existing models (41, 44)
were developed for single-lane and multi-lane roundabouts at isolated
intersections. Although methodologies of above studies are generalized to
estimate the footprints of emissions at roundabouts, its application cannot be
extended to corridors. This is mostly due that only traffic data related to the sub-
segments B4 (upstream), C1 (circulating area) and C2 (downstream) is
considered. Even if proposed methodologies were applied for each roundabout
in the corridor, the contribution of sub-segment B3 (mid-block) would not be
included.
It must be also taking into account that above methodologies assumed that
vehicles reached cruise speed as they exit the roundabouts. However, the
vehicle’s speed in several mid-blocks sub-segments can be lower than free-flow
speed (e.g. C3), especially in the situation of closely spaced roundabouts.
Another consideration that must be mentioned regards the number of circulating
lanes of roundabouts and the number of approach lanes of approach roadways
between adjacent roundabouts. There are two possible corridors layouts: 1) one
Time
A4 B1 B2 B3 B4 C1 C2 C3 C4 D1 D2
Circulating
Speed Acceleration Constant
Speed Deceleration
RBT2 RBT1 RBT3
Segment A Segment B Segment C Segment D
Sp
ee
d
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 21
with only single lane roundabouts and one approach lane between connection
roads and 2) one with a mix of multi-lane roundabouts and single lane
roundabouts and approach roads with one or more lanes. Accordingly, two
different numerical models are needed to characterize those situations.
This task will be focused on the development of such models that can estimate
vehicular emissions for vehicles that drive through the corridor based on speed
profiles occurrences (no stop, stop once and multiple stops) and traffic operation.
It is well known that these proportions are found to be dependent on the prevailing
levels of congestion, simply expressed as the sum of the approach and conflicting
flow rates (41). Considering to the roundabouts installed along corridors, one
must be considered not only all movements from remaining entry legs but also all
conflicting flow rates from each one of approach lanes.
In summary, this task will be composed by four main steps:
1. To quantify traffic and emissions impacts of corridors with only single-lane
roundabouts in urban and rural corridors;
2. To identify the different speeds profiles that vehicles can experiences as
they drive through the corridor;
3. To explain the interaction between roundabout system operational
variable, mainly the approach entry volumes, conflicting or circulating
volume and geometry of the roundabout, and the resulting vehicle
emissions;
4. Repeat the steps 1, 2 and 3 for corridors with multi-lane roundabouts and
more than one approach lanes.
In summary, this task is an empirical approach founded on field measurements
of driver and vehicle characteristics. A review of the methodological steps is
exhibited in Figure 3.
A wide range (between 5 and 10 corridors) of geometrics and traffic data must be
obtained for different roundabouts corridors in order to cover different geometric
and operation features. Furthermore, the effect of pedestrians, presence of
striping on the roadway, lane configuration, vertical geometry and spacing
between adjacent roundabouts along the corridor should be noted. The
observational data will be obtained from video files. Each vehicle will be tagged
using specific software and the following information will be captured: vehicle
type, entry lane, destination lane and timestamp at different instants. In the case
of minor vehicles, parameters like arrival and entering times (to obtain gap
acceptance and follow-up data) will be recorded and also when crossing a
specific section on the approach lane (to obtain delays). Concerning vehicles on
major streams, times on conflicts points and upstream and downstream areas will
be obtained in order to study the yielding process in the circle.
It should be emphasized that a similar methodology will be also carried out at
corridors with traffic signals.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 22
Figure 3: Methodological overview for the characterization of traffic and
emissions in corridors.
3.1.2. Microscopic simulation platform of traffic, emissions and safety
The core of the proposed methodology is to develop a microscopic simulation
platform of traffic, emissions and safety. This platform allows assessing corridors
with roundabouts impacts on traffic performance, emissions and safety. Figure 4
illustrates the modelling framework.
Firstly, the traffic model is presented (see section 3.1.2.1.) followed by the data
collection on each selected study case (see section 3.1.2.2.). After that, the
emission (see section 3.1.2.3.) and safety (see section 3.1.2.4.) models are
described. Lastly, detailed description of the calibration and validation procedures
is made (see section 3.1.2.5.).
Segments
Definition
- Speed
- Acceleration
- Slope
- Entry traffic
- Conflict traffic
- Geometry
Per roundabout
along the
corridor
Sites Selection
Identification of the speed profiles in roundabouts
with corridors
Algorithms to determine the probability of speed
profiles occurrence
CO2, CO, NOX and HC Emission Estimation for each
speed profile
Upstream;
Circulating;
Downstream;
Midblock.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 23
Figure 4: Methodological simulation framework of the modelling platform.
VSP Modes distribution
Emission rates (CO2, CO,
NOX and HC)
Traffic volumes;
Speed
Travel times;
Gap acceptance data;
Simulated traffic conflicts.
YES
NO
Microscopic emission model
(VSP)
Data collection
Traffic flows;
Fleet composition;
O/D matrices;
Speed
Acceleration/deceleration
Road grade;
Gap acceptance parameters.
Microscopic traffic simulation
(VISSIM)
Driver Behaviours
Parameters of Traffic Model
Optimization of selected
parameters
Traffic flows;
Acceleration;
Speed.
Stopping Criteria
Optimization of selected
parameters
Comparison between
observed and estimated data
CALIBRATION
VALIDATION
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 24
3.1.2.1. Traffic Modeling
The increasing of computing performance has yielded an increased use of
microscopic traffic models in both environmental and safety fields. Specifically,
these models allow exporting the vehicle position and vehicle dynamics data
(acceleration/deceleration and speed) second-by-second that provides accurate
emissions and relevant safety measures estimation. Note that their simulation
outputs as speed and acceleration/deceleration can be employed in
instantaneous emission and safety models. These models can be used to assess
the environmental and safety impacts of different traffic management strategies
applied to the road network traffic, such as, route diversion, variable speed limits
or traffic signal coordination (69). In Fontes et al. (70) a review of important
research on this topic is presented. Two procedures are usually adopted: 1) a
traffic model linked with an external emission model or 2) the emission model
which are included in the traffic model. Despite the fact microscopic simulation
models have been identified as having potential for emissions evaluation, there
are few studies reported their capabilities to capture the real-world vehicle power
distributions.
The VISSIM traffic model will be used to simulate traffic operations at corridors
with roundabouts and traffic signals (71). This microscopic traffic model is chosen
because of the possibility to define and use different road-user behavior
parameters and sub-models (car-following, gap-acceptance, lane change) for
different traffic controls modelling. VISSIM is widely recognized as a powerful tool
for roundabout operational analysis since it can be calibrated to match
deterministic capacity relationships (e.g. (72, 73)). VISSIM also allows exporting
full disaggregated trajectory files that can be used by external applications to
assess environmental and safety impacts, as described on the following sections.
By using a vehicle actuated programming, this traffic model provided an accurate
representation of the gap acceptance model in intersections. VAP tool also
enables VISSIM to simulate programmable traffic actuated signal controls, both
phase or stage based. Moreover, other explanations have supported the
application of VISSIM in this research:
The possibility to define different road-user behavior parameters and sub-
models such as car-following and gap-acceptance that are essential for
roundabouts modeling;
The possibility to define vehicle performance parameters such as desired
and maximum acceleration per vehicle type and class;
The possibility to record some traffic performance parameters such as
delays or vehicle stops per vehicle type and class;
A Dynamic Traffic Assignment (DTA) that enables users to define routes
and origin-destination routes more efficiently;
The possibility to store different vehicle dynamics data (speed,
acceleration) at a high time resolution (until one tenth of a second);
An Application Programmer Interface (API) that allows users to define
added external applications functionality and access objects and data in
the model during the simulation process.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 25
3.1.2.2. Data collection
Several inputs are required to the integrate platform of microsimulation. For this
process, the following data collection must be provided:
Traffic counts by vehicle class;
Pedestrian counts;
Speed counts;
Time-dependent origin/destination (O/D) matrices;
Vehicle dynamics (speed, acceleration/deceleration and road grade);
Follow-up times by vehicle class;
Time gap distributions (acceptance and rejection gaps);
Cycle length and green times (corridors with traffic signals).
Traffic and pedestrian volumes, as well as time-dependent O/D matrices, will be
gathered from two video cameras installed at strategic points along the corridors.
Time-gap distributions data (gap-acceptance and gap-rejection) and follow-up
times for all turning maneuvers will be also extracted from the videotapes. The
critical gap is estimated by applying the Raff’s method (74).
Data will be collected at morning and evening peak, and off-peak periods over
several typical weekdays (Tuesday to Thursday), under dry weather conditions
and using different drivers.
A QSTARZ GPS Travel Recorder (75) will be installed at the test vehicle to obtain
some of parameters related to the vehicle activity data (instantaneous speed and
acceleration/deceleration) and the selected sites characteristics (latitude and
longitude). This equipment supports a Smart Log function and includes a vibration
sensor to start and stop automatically logging with a preset time schedule, and
smartly manage power saving and waypoint “saving”. Moreover, the software
supports providing multi-condition settings to customize specific travel record at
high time resolutions (second-by-second basis) (75).
Along with the GPS, it is also used a CarChip Pro by Davis Instruments. This On-
Board Diagnostic reader is compatible with passenger cars and light duty trucks
(76). The car chip records second-by second vehicle dynamics such as vehicle
speeds, distance traveled, acceleration and braking rates. It also records
additional engine performance measures such as coolant temperature, intake air
temperature or fuel pressure (76).
Over than 100 GPS travel runs for each movement will be extracted and identified
for this research. This number of GPS data samples provided a suitable
representation of the local traffic conditions.
3.1.2.3. Emissions Estimation
Regarding to the emission calculation, the “Vehicle Specific Power” (VSP)
methodology is employed. This microscopic model is based on vehicle speed,
acceleration/deceleration and road grade and has proven to be very effective in
estimating instantaneous emissions for both gasoline and diesel (38, 39) as well
as for transit bused (40). Several motivations have supported the use of VSP
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 26
methodology in this thesis. First, VSP can be applied for both US and European
car fleet because it includes a wide range of engine displacement values.
Second, VSP-based emission model not only has a better estimation of vehicle
emissions than a speed-based emission model, but also is capable of reflecting
the emission changes under different operating modes (77). Some previous
studies have documented the effective use of VSP in analyzing emission impacts
at roundabouts (41, 43-45). The VSP values are categorized in 14 modes, and
an emission factor for each mode is used to estimate CO2, CO, NOX and HC
emissions from Light Duty Diesel Vehicles (LDDV<1.8 L), Light Duty Gasoline
Vehicles (LDGV<3.5L) and Light Commercial Diesel Vehicles ((LCDV<2.5L) (30).
Equation 1 provides the VSP calculation for Light Duty Vehicles (LDV) (78):
31.1 9.81 sin arctan 0.132 0.000302VSP v a grade v (1)
Where:
v = Instantaneous speed (m/s);
a = Instantaneous acceleration or deceleration (m/s2);
grade = Road grade (decimal fraction).
These terms represent the engine power required in terms of kinetic energy, road
grade, friction and aerodynamic drag (38). VSP values are usually grouped in
combinations of 1 kW/ton from -50 to +50. Then, these values are categorized in
modes so that each mode generates an average emission rate. Concerning
transit buses, VSP is estimated using typical coefficient values and expressed by
equation 2 (40):
39.81 sin 0.092 0.00021VSP v a grade v (2)
where:
v = Instantaneous speed (m/s);
a = Instantaneous acceleration or deceleration (m/s2);
grade = Road grade (decimal fraction).
In this case, VSP combinations are grouped in 8 modes that are corresponding
to range values from -30 to 30 kW/ton (40). After the VSP value is calculated, the
VSP mode is determined by the VSP range. The corresponding modal emission
CO2, CO, NOX and HC are then obtained.
To estimate the amount of emissions generated by Heavy Duty Vehicles (HDV),
passenger car equivalents (PCEs) values for HDV at roundabouts (79) will be
used in this thesis.
An integrated traffic-emission micro simulation platform (built in C#) will be
developed by integrating the microscopic traffic simulator VISSIM and the
instantaneous emission model VSP.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 27
3.1.2.4. Safety
The main goal of this new safety assessment approach is a software package
developed by the Federal Highway Administration (FHWA) (Surrogate Safety
Assessment Model – SSAM) (80) that automates traffic conflict analysis by
processing vehicle and pedestrian trajectories on a second-by-second analysis.
This approach has all the common advantages of simulation (e.g. safety
assessment of new facilities before the occurrence of crashes), but also has
some drawbacks: current microscopic traffic models are not able to model some
crashes types such as sideswipe collisions, head-on collisions or U-turn related
collisions (81).
For each interaction, SSAM stores the trajectories of vehicles from the traffic
model and records surrogate measures of safety and determines whether or not
that interaction satisfies the condition to be deemed a conflict. The research team
used the Time-to-Collision (TTC) and Post-Encroachment Time (PET) as
thresholds to define if a given vehicle interaction is a conflict and the Relative
Speed (DeltaS) and Maximum Speed (MaxS) as proxies for the crash severity.
Their definition is posed as follows (81):
TTC is the minimum time-to-collision for a vehicle pair of both maintained their instantaneous heading and speed. If at any time step the TTC drops below a given threshold (1.5 seconds and 2 seconds, as suggested for vehicle-vehicle (63) and vehicle-pedestrian events (82), respectively), the interaction is tagged as a conflict;
PET is the time lapse between end of encroachment of turning vehicle and the time that the through vehicle actually arrives at the potential point of collision. If at any time step the PET drops below a given threshold (5 seconds, as suggested for vehicles (83), the interaction is tagged as a conflict;
MaxS is Maximum of the speeds of the two vehicles involved in the conflict event (MaxS);
DR is the rate at which crossing vehicle must decelerate to avoid collision;
DeltaS is the difference in vehicles (or pedestrians) speeds as observed at the instant of the minimum TTC (81).
The size of the surrogates TTC, PET and DR are intended to indicate the severity
of the conflict event. This measures how likely a collision would result from a
conflict, such that:
Lower TTC indicates higher probability of collision;
Lower PET indicates higher probability of collision;
Higher DR indicates higher probability of collision.
MaxS and DeltaS are used to indicate the likely severity of the (potential) resulting
collision if the conflict event had resulted in a collision instead of a near-miss,
such that:
Higher MaxS indicates higher severity of the resulting collision;
Higher DeltaS indicates higher severity of the resulting collision resulting
collision (58)
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 28
3.1.2.5. Calibration and Validation
Calibration and Validation procedures are very crucial to make simulation model
looks real. Model calibration is defined as the process in which parameters of the
traffic model are tuned and fitted so the model will accurately represent field-
measured traffic data. Model validation is defined as the process of comparison
between traffic data from the model and data collected from the field (84).
In the early research, many authors have used single-criterion methodologies in
which the extent of errors between estimated and observed measures such as
traffic flows (83), travel time (85) or capacity (85), were minimized. Others have
developed microscopic simulation platforms by using multiple criteria measures
in which weight summation of each single-criteria was minimized (86, 87). Both
single-criteria and weighted summation were shown as inadequate for calibrating
microscopic traffic platforms (67) since traffic dynamics is a multi-faceted problem
and some trade-offs between criteria can be found. Another method to calibrate
traffic models is to regard model calibration as an optimization problem in which
several parameters are tested to satisfy the objective function. Nonetheless, the
computational complexity arise from this procedure can be exponential (87). In
this context, Punzo et al. (88) recommend a selection of a subset of parameters
to perform a sensitivity analysis and also to narrow the range of possible values
of each parameter. In the context of roundabouts operations, Vasconcelos et al.
(89) proposed a method to calibrate the car-following model for the effect of driver
variability in the speed-flow relationship. In (90), VISSIM was calibrated using
field gaps in two-lane roundabouts.
In this research, the model calibration is focused on the driver behavior
parameters of the traffic model, while model validation is related with O-D
matrices, travel times and VSP mode cumulative distributions, CO2, CO, NOX and
HC emissions, and traffic conflicts. Note that different data samples will be used
for calibration and validation procedures.
Calibration of the VISSIM parameters is made by modifying driver behavior and
vehicle performance parameters of the traffic model and examined their effect on
traffic volumes and speed for each link. The main driver behavior parameters are
divided into car-following parameters (average standstill distance, additive and
multiple part of safety distance), lane-change parameters, gap acceptance
parameters (minimal gap time and minimal headway) and simulation resolution
(91).
To optimize the aforementioned parameters, a procedure based on the
Simultaneous Perturbation Stochastic Approximation (SPSA) genetic algorithm
is used. The objective function, the minimization of Normalized Root Mean
Square (NRMS), is denoted by Equation (3).
NMRS is defined as the sum over all calibration periods of the average of the sum
over all links of the root square of the square of the normalized differences
between observed and estimated parameters (92). The normalization enables
the consideration of multiple performance measures, in this case, link volumes,
speeds and acceleration/deceleration. The calibration procedure is formulated as
follows:
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 29
1 1 2 2 1 2 31
11
T
t
NRMS W C W C W W CN
(3)
2
1 1
I i i
ii
v vC
v (4)
2
2 1
I i i
ii
s sC
s (5)
2
3 1
I i i
ii
a aC
a (6)
Subject to: Lower bound ≤ θ ≤ Upper bound Where: vi = Observed link volumes for link i; v (θ)i = Estimated link volumes for
link i; si = Observed speeds for link i; s (θ)i = Estimated speeds for link i; ai =
Observed accelerations for link i; a (θ)i = Estimated accelerations for link i; N =
Total number of links in the coded network; T = Total number of time periods t;
and W1, W2 = Weights factors used to assign more or less value to volumes,
speeds or acceleration based on the trustworthiness of the corresponding data
(note 0 ≤ W1, W2 ≤ 1).
Considering the calibration criteria, the current accepted practice, as
recommended by the FHWA is to rely the Geoffrey E. Havers (GEH) statistic for
assessing goodness-of-fit. The difference between observed and estimated link
volumes should be less than 5% for at least 85% of the coded links (93).
The model validation is focused on the comparison between estimated and
observed O/D matrices, pedestrian volumes and travel times for a preliminary
number of runs (between 10 and 20, as suggested by Hale (94)). GEH statistic
(93) and Root-mean-square percentage error (RMSPE) (95) will be used as
measures of the goodness-of-fit. Along the validation of previous measures, the
observed and estimated VSP cumulative probability distributions will be also
compared. This validation step allows assessing differences in the
acceleration/deceleration profiles between field measurements and simulation.
Since the number of data sets (number of seconds) is roughly higher than 40,
two-sample Kolmogorov-Smirnov test (K-S) for a 95% confidence is deemed
appropriate to assess if the probability distributions of two samples are different
(96). K-S test is recognized to be one of the most useful and nonparametric
methods for comparing two samples, as it is sensitive to differences in both
location and shape of the empirical cumulative distribution functions of the two
data samples. Moreover, it is also suggested when there is a natural ordering of
the modes (bins) (97). The resulting estimated CO2, CO, NOX and HC emissions
are compared with observed values. Lastly, the simulated conflicts that can be
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 30
recorded in SSAM model will be compared by real crash data from a crashes and
conflict model for roundabouts.
3.1.3. Scenarios evaluation
After developed the modeling platform of traffic and emissions in corridors and
traffic signal corridors, several scenarios will be implemented. The main purpose
of this task is to understand how emissions and safety performance vary in
according to the different traffic conditions.
Thus, the following scenarios will be compared:
1. Different traffic demands (peak and off-peak periods);
2. Different pedestrian flows (peak and off-peak periods);
3. Different traffic signal settings (fixed versus actuated);
4. Reduction of vehicle’s speed.
The emissions and safety performance of each scenario will be evaluated in
terms of: a) Overall roundabouts corridor vs. Overall traffic signal corridor, and b)
Overall roundabouts corridor vs. individual roundabout along the corridor.
3.1.3. Multi-objective analysis
This section gives a brief description of the multi-objective optimization task
proposed in this research, which includes the formulation of the multi-objective
optimization (see section 3.1.3.1.) and the selected algorithm (see section
3.1.3.2.) to solve its solution.
3.1.3.1. Micro simulation optimization formulation
Multi-objective optimization is concerned with the solution of problems with
multiple, often conflicting, criteria. In particular, the optimization problem consists
of maximizing or minimizing a function by choosing different input values from a
set of available alternative. The challenge regarding the application of this
approach is that, instead of a unique optimal solution, multi-objective optimization
results in several solutions with different trade-offs among criteria. Thus, a
Decision Maker is needed to provide useful information and also to identify the
most acceptable solution.
The general multi-objective optimization problem is posed as follows (see
Equations 7, 8 and 9)
1 2min , ,...... mF f x f x f x x (7)
Subject to
0, 1,2,...,ig i I x
(8)
0, 1,2,...,jh i Jx (9)
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 31
In which: 1 2, ,...... mf x f x f x are the m objective functions, i is the number of
inequality constraints, j is the number of equality constraints, 1 2, ,..., nx x xx is
a n-dimensional design variables vector in the solution of space X.
For a multi-objective optimization problem, any two solutions x1 and x2 can have
one of two possibilities: one dominates the other or none dominates the other. In
a minimization problem, without loss of generality, a solution x1 dominates x2 if
the following two conditions are satisfied (see Equations10 and 11):
1 21,2,..., : i ii i m f x f x (10)
1 21,2,..., : i ii i m f x f x (11)
If both conditions are satisfied, the solution x1 does not dominate the solution x2.
If x1 dominates the solution x2, x1 is called the nondominated solution within the
set {x1, x2}1. This means that there exists no feasible solution x that can decrease
some objective functions without causing at least one other objective function to
increase.
The set of all possible solutions that are nondominated within the entire search
space is denoted as Pareto-optimal set. Concerning the respective objective
function values in the objective space, they are defined as the Pareto front. It
should be mentioned that, in some situations, the number of Pareto optimal
solutions can be infinite. Hence, the multi-objective optimization must include a
practical approach to identify a set of solutions, called as the best-known Pareto
set so that it can be suitably represented as the Pareto optimal set.
In summary, the multi-objective optimization should be achieve the following
goals (98):
i. The best-known Pareto set must be as near as possible to the true Pareto
set;
ii. The solutions in the best-know Pareto set must be diverse in relation to
the Pareto front as well as uniformly distributed in order to assure a faithful
representation of trade-offs;
The best-known Pareto front should be extended at both ends in order to explore
extreme solutions.
3.1.3.2. Genetic Algorithms
The issue of finding an optimal solution design is frequently discussed in the
transportation research area. Among the set of search and stochastic
optimization techniques, Evolutionary Algorithms (EAs) have recently received
increased interest. Several authors recognized merits of their applications in
solving real-world multi-objective problems (99, 100). There have been three
main independent implementation instances of EAs (101): Genetic Algorithms
(GAs) (102, 103), Evolution Strategies (ESs) (104) and Evolutionary
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 32
Programming (EP) (105). Each approach is inspired by the same basic
mechanisms of natural evolution: selection, mutation and crossover.
The GAs are often used to represent EAs. These adaptive meta-heuristic search
techniques are based on the mechanism of natural selection and natural genetics
that potentially guarantees a robust search, and also a near-optimal. This means
that neighborhood solutions from an initial incumbent solution (value of the
objective function for the problem being solve that is worse than the optimal
objective function value) is allowed to move in the direction of the worse objective
(103). The GAs can deal successfully in a wide range of problem areas, which
include multi-modal objective problems, differentiable and non-differentiable
functions, discrete and continuous parameters, as well as problems with convex
and non-convex feasible regions (102, 106). GAs have been also widely
employed in multi-objective optimization studies applied in the transportation field
such as traffic signal optimization (107-111), scheduling problems (112), traffic
routes assignment (113), network design problems (114-118), road-bicycle lanes
network problems (119), and crash safety design (120).
The first multi-objective GA, called Vector Evaluated Genetic Algorithms (VEGA),
was proposed by Schaffer, in 1985 (121). Afterwards, various multi-objective
genetic algorithms were developed: Multi-Objective Genetic Algorithms (MOGA)
(122), Weight-Based Genetic Algorithms (WBGA) (123), Random weighted
genetic algorithms (RWGA) (124), Niched Pareto Genetic Algorithms (NPGA)
(125), Nondominated Sorting Genetic Algorithm (NSGA) (126), Fast non-
dominated sorting genetic algorithms (NSGA-II) (127), and Rank-Density Based
Genetic Algorithm (RDGA) (128). The main differences of above-mentioned GAs
are related to their fitness assignment method, elitism and diversification
approaches.
Among previous multi-objective GAs, the NSGA-II will be adopted in this
research. Several explanations have supported NSGA-II used: a) diversity in
optimal solutions by incorporating the crowding distance into the fitness function
and b) a binary tournament approach that provides accommodate the selection
process (127). In contrast to the conventional GA(s) based methods, NSGA-II not
require weighting factors for conversion of multi-objective function into an
equivalent single objective function. Moreover, NSGA-II has been tested many
times in the research field of evolutionary optimization so that it has well-known
to find a good approximation of an optimal Pareto front (129). The main
disadvantage of NSGA-II is that the crowding distance only works in the objective
space (129). A good deal of research can be found in the transportation field in
which NSGA-II has been used, namely in network design problems (114, 118),
traffic signal optimization (108), crash safety design (120) and in the calibration
of microscopic traffic models (67).
The main feature of NSGA-II is the implementation of a fast non-dominated
sorting procedure. Specifically, this approach incorporates elitism, and then the
fitness sharing function is replaced by a crowded-comparison approach that
eliminates, either the dependence of fitness value to yield performance of sharing
function, and the overall complexity of the process (127).
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 33
In order to sort a population according to the level of non-domination, each
solution is compared with every other solution in the population. This requires
n×m2 comparisons for each solution while, for NSGA, the complexity of
nondominated sorting is n×m3. NSGA-II also implements elitism for multi-
objective search by storing all non-dominated solutions found so far, beginning
from the initial population. Accordingly, the convergence properties towards the
true Pareto-optimal set are improved (127).
The diversity and the spread of solutions are guaranteed without the use of
sharing parameters since NSGA-II adopts a suitable parameter-less niching
approach. It is then used a crowding distance, which estimates the density of
solutions in the objective space, and also a crowded comparison operator, which
conducts the selection process towards an uniform spread Pareto front. Note that
both discrete (binary-coded) and continuous (real-coded) are allowed to be used
by NSGA-II (127). More information about NSGA-II procedure and its basic
theories, such as selection, crossover, and mutation can be found elsewhere
(127).
Figure 5 shows the NSGA-II main steps.
NSGA-II will be implemented in Matlab. A user pre-specified maximum number
of generations is defined as the stopping (convergence) criteria of the NSGA-II
procedure. Unlike single objective optimization, where a simple convergence
criterion is sufficient to assess the performance, the multi-objective optimization
results must be assure both the convergence to Pareto Optimal Front (POF) and
the diversity of the solutions (130).
The convergence to POF is based on the comparison among the sets of non-
dominated solutions from various generations. The smaller the number of
dominated solutions, the better is the convergence. Concerning the diversity of
the solutions, it is measured by the estimating of the Spread and the Uniformity
Measure metrics. The spread of the front is calculated as the diagonal of the
largest hypercube in the function space that encompasses all solutions points. A
large spread is desired to find diverse trade-off solutions. The Uniformity Measure
identifies the presence of poorly distributed solutions by estimating how uniformly
the points are distributed in the POF. This measure it is estimated from the
standard deviation of the crowding distance (130).
Initially, the maximal number of generations will be set to 3000 for all the test
instances while the crossover and mutation rates will be set at 90% and 10%,
respectively. Each scenario will be run 20 times in the NSGA-II code. For each
repetition, above performance metrics (Number of dominated solutions, Spread
and Uniformity Measure) are computed. Once guaranteed the convergence to
POF and the diversity of the solutions in all scenarios, an equal maximum number
of generations will be employed in each scenario.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 34
Figure 5: Basic structure of NSGA-II algorithm.
Stopping Criteria
Pareto-optimal Solution
Initiation of Population with size N
t = 0
Rank the population according to non-dominating criteria
Binary Tournament Selection
Calculate the objective function of the new population
Parents – Pt
Intermediate Crossover
Gaussian Mutation
Offsprings – Qt
Combine old and new population
Non-dominating ranking on the combined population
Calculate crowding distance of all the solutions
Get the N from the combined population
Replace parent population by the better members of the combined
population
Calculate all the objective functions
YES
NO
R t = Pt U Qt
Parents of new
generation – Pt+1
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 35
4. Results
This section presents some preliminary results regarding the data collection and
emissions calculations taken at two corridors with roundabouts located in US.
First, the introduction and main objectives are presented (see section 4.1.). After
that, the selected corridors and data collection procedures are introduced (see
section 4.2.), followed by the main results and its discussion (see section 4.3.).
Finally, the main conclusions are exposed (see section 4.4.)
4.1. Introduction and objectives
This study provides a methodology to quantify and characterize the vehicular
emissions of roundabouts at a corridor level by dividing the corridor into multiple
segments (upstream of each roundabout, circulating area, downstream of the
roundabout as well as midblock sub-segments between adjacent roundabouts).
The main goal of the methodology is to identify the locations along the corridors
where the emissions tend to be consistently high. These locations are called
emissions hotspots. The methodology is then applied to two roundabout corridors
located in San Diego (California) and Avon (Colorado) in the United States.
Thus, the main objectives are:
To analyze the vehicular emissions for each pair of roundabouts throughout the corridor;
To identify locations with the highest amount of emissions generated (hotspots) as the vehicle drives through the corridor.
4.2. Selected corridors and field measurements
Figure 6 displays an aerial view of the data collection sites investigated in this
study as well as segments and sub-segments identification for north-south and
south-north directions, based on definitions shown in Figure 2.
One of the study locations is in San Diego, California, along La Jolla Boulevard
Figure 6-a). The free-flow speed is fairly constant along this corridor, and the
spacing is approximately equal between the five roundabouts (coefficient of
variability of average spacing is 0.10). The second corridor is located in Avon,
Colorado, along Avon Road. The spacing between the roundabouts is not uniform
(coefficient of variability of average spacing is 0.46).
La Jolla corridor is 966 meters long, including five single-lane roundabouts in an
urban environment. The Avon corridor is 805 meters long, and it includes three
two-lane roundabouts and a tear drop interchange with two single-lane
roundabouts. The RBT3 and RBT4 roundabouts are located in a close proximity
to each other and therefore make the case for overlapping RIAs for this corridor.
The posted speed limit is 25 mph for both corridors.
Additionally, sites characteristics such as location, inscribed circle diameters,
entry deflection angle, distance between two adjacent roundabouts (measure
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 36
from the upstream yield lane) and some descriptive statistics are summarized in
Table 2. Free-flow speeds and traffic data information are also provided.
a)
b)
Figure 6: Aerial View of the Two Data Collection Roundabouts Corridors and segments identification (black color-North-South; red color-South-North): a) La
Jolla; b) Avon (Source: http://www.arcgis.com).
For vehicle activity characterization, the authors used second-by-second vehicle
dynamics data. A Light Duty Gasoline Vehicle (1.5<LDGV<2.5L) was used in
order to conduct several runs through the corridors. These runs were performed
during morning, evening and off-peak periods (from 7 AM to 7 PM). The research
team scouted and collected data at the two selected corridors in the fall of 2013.
A QSTARZ GPS Travel Recorder (75) was employed to obtain some of the
parameters related to the vehicle activity data (such as instantaneous speed) and
the selected sites characteristics (road grade, latitude and longitude). 70 GPS
travel runs for the two directions of through movements are analyzed for this
research (total of 280 speed profiles).
RBT1
0.2 km
RBT2
RBT3
RBT4
RBT5
Tear drop
interchang
e
0.2 km
RBT2
RBT3
RBT4
RBT5
RBT1
NORTH
SOUTH
SOUTH
NORTH
B {B1 B2 B3 B4}
C {C1 C2 C3 C4}
D {D1 D2 D3 D4}
A {A1 A2 A3 A4}
B {B1 B2 B3 B4}
C {C1 C2 C3 C4}
D {D1 D2 D3 D4}
A {A1 A2
A3 A4}
B {B1 B2 B3 B4}
C {C1 C2
C3 C4}
D {D1 D2 D3 D4}
A {A1 A2
A3 A4}
SOUTH
NORTH
B {B1 B2 B3
B4}
C {C1 C2 C3 C4}
D {D1 D2 D3 D4}
A {A1 A2 A3 A4}
NORTH
SOUTH
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 37
Table 2: Key characteristics of selected corridors
Site ID Number of circulating
lanes
Inscribed Diameter
[m]
Central Island
[m] Legs
Entry deflection
angle (North-
South/South-North)
Distance from
upstream Roundabout
[m]
Average roundabout spacing [m]
CV
Measured Arterial Volume (7 AM - 7 PM)
North South
South North
La Jolla
RBT1 One 25 16 4 30º/31º –
218.8 0.10 5,531 5,688
RBT2 One 24 15 4 29º/30º 248
RBT3 One 25 14 4 34º/29º 227
RBT4* One 22/25 15/19 4 22º/31º 192
RBT5 One 24 15 3 32º/31º 208
Avon
RBT1** Two 42 24 3 20º/- –
197.0 (-10%)
0.46 (356%)
6,240 6,201
RBT2** Two 48 28 3 -/28º 144
RBT3 Two 46 23 4 23º/30º 170
RBT4 Two 45 28 4 34º/42º 124
RBT5 Two 44 26 4 39º/38º 350
*Oval roundabout which has two values for Inscribed Diameter and Central Island.
**Roundabouts 1 and 2 are tear drop interchange roundabouts.
Notes: CV – Coefficient of Variability (ratio between average roundabout spacing and standard deviation of average roundabout spacing)
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 38
4.3. Discussion and Results
In this section, the main results from characteristics speed trajectories (see
section 4.3.1.), acceleration/deceleration profiles (see section 4.3.2.), sub-
segments emissions (see section 4.3.3.) and emissions per unit distance (see
section 4.3.4.) were presented and discussed.
4.3.1. Characteristic Speed Trajectories
Figure 7 (a-d) depicts the speed trajectories through La Jolla and Avon corridors.
The speed profiles across La Jolla corridor were similar as verified in Figure 2.
This mean that vehicles accelerate to free-flow upon exiting each roundabout
(sub-segments B2, C2, D3 and E2) as they approach each mid-block areas (sub-
segments B3, C3, D3 and E3). Nonetheless, vehicles speeds in sub-segments
B3, C3, D3 and E3 are lower than free-flow speeds. Specifically, vehicles reached
a 40km/h of maximum speed on those sub-segments while outside corridor the
speed increased up to 55km/h. It was also verified that, in mid-block sub-
segments, vehicles tend to circulate at nearly constant speeds since adjacent
roundabouts were fairly spaced (see Table 2). Similar results were found in the
opposite through movement (see Figure 7-b).
The results from the Avon corridor analysis (see Figure 7c-d) showed that the
highest average speeds occurred at the RBT4 and RBT5 roundabouts (sub-
segments E2 and E3 in North-South direction, and B2 and B3 in South-North
direction). This was explained by the distance between those roundabouts which
was over than 300 meters and enables vehicles to attain free-flow speeds. On
the remaining roundabouts, the speed values were not so sharper. This was
particularly true between RBT3 and RBT4 whose distance was about 59 meters.
It was also found that the overlapping of RIA was notably expressive between
RBT3 and RBT4. Therefore, vehicles maximum speed at D3 (see Figure 7-c)
and C3 (see Figure 7-d) was half of than the observed at the sub-segments E3
(see Figure 7-c) and B3 (see Figure 7-d).
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 39
Figure 7: Speed trajectories by distance travelled for each through movement by corridor: a) La Jolla (North-South); b) La Jolla (South-North); c) Avon (North-
South); d) Avon (South-North).
a)
b)
c)
d)
0
10
20
30
40
50
60
0 1100S
pe
ed
[km
/h]
Distance Travelled [meters]
0
10
20
30
40
50
60
0 1100
Sp
ee
d [km
/h]
Distance Travelled [meters]
0
10
20
30
40
50
60
0 900
Sp
ee
d [km
/h]
Distance travelled [meters]
0
10
20
30
40
50
60
0 900
Sp
ee
d [km
/h]
Distance travelled [meters]
RBT1 RBT2 RBT3 RBT4 RBT5
RBT5 RBT4 RBT3 RBT2 RBT1
1 2 3 4
5
RBT1 RBT2 RBT3 RBT4 RBT5
RBT5 RBT4 RBT3 RBT2 RBT1
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 40
4.3.2. Characteristic Acceleration and deceleration Trajectories
The acceleration and deceleration cycles for vehicles that are crossing the
selected studied corridor are depicted in Figure 8 (a-b) for both through
movements. The higher acceleration rates in La Jolla corridor were recorded over
the circulating area of roundabouts (sub-segments B1, C1, D1 and E1). The
experimental measurements also indicated that the deceleration of vehicles
increased when vehicles approaching each one of the roundabouts (B4, C4, D4
and E4). From the Figure 8 (a-b), and as suspected, the lowest acceleration and
deceleration rates were achieved at the mid-block sub-segments in which
vehicles drove near the cruise speeds. In summary, the acceleration/deceleration
cycles did not significant different between each pair of roundabouts. Several
explanations supported these results. First, the distance between consecutive
roundabouts is similar across the corridor. Second, specific geometric design
aspects of each roundabout, such as inscribed diameter or the number of
circulating lanes, do not vary (see Table 2).
Concerning the Avon corridor, it was noted that, between RBT3 and RBT4
(overlapping of RIAs), vehicles suffered the highest acceleration and deceleration
through the corridor as seen in Figure 8 c-d. In particular, both accelerations and
decelerations range from -3 m/s2 to 3 m/s2. It should be mentioned that vehicles
also tend to decelerate faster before RBT2 (North-South direction) that is placed
in Rain drop interchange area. This means that after B3 sub-segment vehicles
still driving on free-flow speed and decelerate approximately 50 meters before C1
(circulating area of RBT2) as shown in Figure 8-c. The values of deceleration
obtained for vehicles approaching RBT3 and RBT4 were also expressive. Note
that these roundabouts are the fairest spaced along the corridor.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 41
Figure 8: Acceleration/Deceleration cycles by distance travelled for each through movement by corridor: a) La Jolla (North-South); b) La Jolla (South-
North); c) Avon (North-South); d) Avon (South-North).
-3
-2
-1
0
1
2
3
0 1100
Accele
ratio
n [m
/s2]
Distance Travelled [meters]
-3
-2
-1
0
1
2
3
0 1100
Acce
lera
tio
n [m
/s2]
Distance Travelled [meters]
-4
-2
0
2
4
0 900
Acce
lera
tio
n [m
/s2]
Distance travelled [meters]
a)
b)
c)
d)
-4
-2
0
2
4
0 900
Acce
lera
tio
n [m
/s2]
Travelled distance [meters]
RBT1 RBT2 RBT3 RBT4 RBT5
RBT5 RBT4 RBT3 RBT2 RBT1
RBT5 RBT4 RBT3 RBT2 RBT1
1 2 3 4
5
RBT1 RBT2 RBT3 RBT4 RBT5
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 42
4.3.3. Segments and Sub-segments Emissions
Figure 9 a-b illustrates that the highest amount of CO2 emissions per vehicle,
about 36% of the total emissions in the corridor, is produced in sub-segments A2,
B2, C2 and D2 (downstream). These sub-segments correspond to about 29% of
the travel distance and travel time across the corridor. This is mainly due to higher
acceleration rates that vehicles experience as they exit each roundabout.
Because of the large distance between the roundabouts, the vehicles often reach
the cruise speed in the midblock section (A3, B3, C3 and D3) as they leave one
roundabout RIA and travel toward the adjacent RIA. Consequently, sub-
segments A4, B4, C4 and D4 (upstream) contribute to more than 27% of total
emissions in the corridor (they include about 29% and 30% of travel distance and
travel time, respectively). These analyses suggest that the deceleration from
cruise speed to the circulating speed is especially relevant for CO2 emissions.
Albeit high, vehicles speeds in mid-block sub-segments (A3, B3, C3 and D3), did
not result in a substantial impact on emissions (overall contribution on total
emission is about 24% for both through movements). This is due to the smooth
speed profiles at those locations. Regarding the assessment of each pair of
roundabouts across the corridor, that is, segments A, B, C and D, the findings
point to small differences in emissions. Specifically, CO2 emissions contributions
of each segment range from 23% to 25% for segments C and A, respectively.
Several explanations support these results. First, the distance between
consecutive roundabouts is similar along the corridor. Second, specific geometric
design aspects of each roundabout, such as inscribed diameter or the number of
circulating lanes, do not vary. See Table 2 for those details.
Sub-segments A2, B2, C2 and D2 also have a major impact on CO2 emissions
across the Avon corridor. According to Figure 9 c-d, vehicles emit about 30% of
CO2 in 25% and 23% of travel distance and travel time respectively on both
directions. Similarly, sub-segments A1, B1, C1 D1 and E1 have a significant
effect on CO2 emissions along that corridor. Their contribution is about 26%, on
23% of travel distance. This is mostly because of the high inscribed diameter at
those roundabouts. The results also show that due to different lengths of each
segment there is a difference in emissions for each pair of roundabouts. From
Figure 9 c-d, and as suspected, the highest amount of overall CO2 emissions is
produced between RBT4 and RBT5 roundabouts (Segments D and A on north-
south and south-north movements, respectively). For that location, a contribution
of more than 43% of total emissions represents 42% of the travel distance is
observed, which is consistent. Along the tear drop interchange, on segment A
(north-south movement), there is no substantial impact of CO2 emissions when
compared with Segments B and D. CO2 emissions only represent 19% of total
emissions of the corridor. Note that vehicles travel 18% of distance on that
segment. Similar results are found on the opposite through movement.
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 43
a) b)
c) d)
Figure 9: CO2 Emissions (g) per vehicle for each sub-segment across the roundabouts corridors: a) La Jolla (North-South), b) La Jolla (South-North); c)
Avon (North-South); d) Avon (South-North).
4.3.4. Emissions per unit distance
Figure 10 a-d illustrates the CO2 emissions per unit distance by sub-segment
and regarding the overall corridor. The figure shows that the sub-segments
associated to the downstream (A2, B2, C2 and D2) produce the highest amount
of emissions per kilometer travelled across La Jolla corridor. These results are
verified on both through movements. In particular, above sub-segments generate
an average CO2 emissions per unit distance higher than 27% (210 g/km – north-
south) and 33% (218 g/km – south-north) to the averages values of the corridor
(165 g/km and 164 g/km on north-south and south-north directions, respectively).
It is also observed that the CO2 emissions per unit distance in some circulating
sub-segments are higher than averages values which are recorded in both
movements. On average, CO2 emissions per unit distance at the circulating sub-
segments (A1, B1, C1, D1 and E1) are higher by 3% (170 g/km) and 10% (179
g/km) over the average value which is recorded in north-south and south-north
movements, respectively. It should be emphasized that when vehicles are
crossing each pair of roundabouts, emissions per unit distance follow a similar
trend. Taking as an example the Segment A, it is observed that emissions per
unit distance increase from sub-segment A1 to A2. After that, they decrease on
sub-segment A3 and yet again, they increase on sub-segment A4 (see Figure
10 a-b). A2 and A3 are related to the highest and lowest emissions per unit
0
4
8
12
16
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
ve
hic
le [g
]
0
4
8
12
16
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
ve
hic
le [g
]
0
5
10
15
20
25
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
ve
hic
le [g
]
0
5
10
15
20
25
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
ve
hic
le [g
]
Interpreted modeling for safety and emissions at roundabouts in corridors
Thesis Project II 44
distance sub-segments, respectively, within Segment A. In some segments, the
differences between above sub-segments exceed the 95 g/km.
The analysis results show that the emissions hotspots in the Avon corridor, 23%
higher than the average corridor value (≈167g/km), are generated in the
circulating areas of the roundabouts (A1, B1, C1 and D1). Concomitantly,
vehicles at any downstream sub-segments generate an amount of CO2 emissions
per unit distance higher than the average value of the corridor with 19%. The
effect of tear drop interchange on the north-south direction (Segment A) is also
relevant (average CO2 emissions per unit distance of 185 g/km in 18% and 17%
of the total distance and time, respectively) as shown in Figure 10-c. This is
mostly due to the higher speeds (cruise speed) in almost Segment A length
between RBT1 and RBT2. Unlike tear drop interchange, Segments C and D on
north-south and south-north, respectively, generate an amount of CO2 emissions
per unit distance 6% and 3% below the average value of the Avon corridor. The
findings for closely spaced roundabouts (RBT3 and RBT4), as illustrated in
Figure 10 c-d, prove that CO2 emissions per kilometer travelled at the
downstream and mid-block sub-segments are much smaller than those which are
observed in equivalent sub-segments Since vehicles have not enough distance
to attain free-flow speeds, lower acceleration rates are observed at the
downstream sub-segment in comparison to the equivalent segments.
a) b)
c) d)
Figure 10: CO2 Emissions (g/km) per unit distance for each sub-segment across the roundabouts corridors and overall corridor: a) La Jolla (North-South),
b) La Jolla (South-North); c) Avon (North-South); d) Avon (South-North).
165
0
60
120
180
240
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
un
it
dis
tan
ce
[g
/km
] 164
0
60
120
180
240
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
un
it
dis
tan
ce
[g
/km
]
166
0
65
130
195
260
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
sio
ns p
er
un
ti
dis
tan
ce
[g
/km
]
166
0
65
130
195
260
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
E1
CO
2E
mis
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ns p
er
un
it
dis
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[g
/km
]
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Thesis Project II 45
4.4. Conclusions
It was found that the emissions distributions along the corridor with fairly spaced
roundabouts and enough spacing to attain cruise speed over the mid-block was
similar in each pair of adjacent roundabouts. In such cases, the downstream sub-
segments were identified as the emissions hotspots (overall contribution on total
emissions exceeded the 35 %) both in absolute terms and per unit distance.
Considering the corridor with evenly spaced roundabouts, the emissions hot
spots per unit distance, about 23% higher than the average corridor value, were
located at the circulating areas sub-segments. This was particularly true for
closely spaced roundabouts (~100 meters of spacing) in which vehicles
decelerated after the roundabout exit section (at the downstream sub-segment).
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Thesis Project II 46
5. Papers in Publication
During the first year of Doctoral grant the candidate was co-author of several papers
5.1. Papers published (or accepted for publication) in scientific journals
1. Salamati, K., M.C. Coelho, P.J. Fernandes, N.M. Rouphail, H.C. Frey, and J. Bandeira. Emission Estimation at Multilane Roundabouts: Effect of Movement and Approach Lane. Transportation Research Record: Journal of the Transportation Research Board, 2014. 2266 (-1): p. 12-21. DOI: http://dx.doi.org/10.3141/2389-02
2. Fontes, T., Fernandes, P., Rodrigues, H., Bandeira, J. M., Pereira, S.R., Coelho, M.C., Khattak, A.J. Are eco-lanes a sustainable option to reducing emissions in a medium-sized European city?, Journal of Transportation Research A: Policy and Practice, Volume 63, May 2014, Pages 93–106. DOI: http://dx.doi.org/10.1016/j.tra.2014.03.002
3. Jorge Bandeira, Paulo Fernandes, Tânia Fontes, Sérgio Ramos Pereira, Asad J. Khattak & Margarida C. Coelho, Assessment of Eco Traffic Assignment Strategies in an Urban Corridor, accepted to be published in the Special Issue for Transportation Research – Part C on Advanced Road Traffic Control, in press.
4. Paulo Fernandes, Jorge Bandeira, Tânia Fontes, Sérgio Pereira, Bastian J. Schroeder, Nagui M. Rouphail, Margarida C. Coelho, Traffic restriction policies in an urban avenue: A methodological overview for a trade-off analysis of traffic and emission impacts using microsimulation, accepted to be published in the International Journal of Sustainable Transportation, in press. (DOI:10.1080/15568318.2014.885622)
5. Bandeira, J., Carvalho, D., Khattak, A., Rouphail, N., Fontes, T., Fernandes, P., Pereira, S., Coelho, M. C. Empirical assessment of route choice impact on emissions over different congestion scenarios, accepted to be published in the International Journal of Sustainable Transportation, in press. (DOI: 10.1080/15568318.2014.901447)
5.2. Book Chapters
1. Bandeira, J.M., Pereira, S.R., Fontes, T., Fernandes, P., Khattak, A., Coelho, M.C. (2014). An “Eco-traffic” assignment tool In Computer-based Modelling and Optimization in Transportation. Advances in Intelligent Systems and Computing, J. F. de Sousa and R. Rossi (eds.), Springer International Publishing Switzerland, Vol. 262, pp. 41-56. (ISBN: 978-3-319-04629-7, DOI: http://dx.doi.org/10.1007/978-3-319-04630-3_4).
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Thesis Project II 47
5.3. Conference proceedings
1. Fernandes, P., Pereira, S.R., Bandeira, J.M., Neto, L., Coelho, Vasconcelos, L., Silva, A.B., Seco, A.B, Coelho, M.C. Driving around turbo-roundabouts: are there advantages over conventional roundabouts?. Research Day, University of Aveiro, June 3, 2014.
2. Fontes, T., Lemos, A., Fernandes P., Pereira, S.R., Bandeira, J.M., Coelho, M.C. Emissions impact of road traffic incidents using Advanced Traveller Information Systems in a regional scale, Accepted to be presented in the 17th meeting of the EURO Working Group on Transportation - EWGT 2014, to be held in Seville, July 2014.
3. Bandeira, J.M., Fontes, T., Pereira, S.R., Fernandes, P., Khattak, A.J., Coelho, M.C. Assessing the importance of vehicle type for the implementation of eco-routing systems, Accepted to be presented in the 17th meeting of the EURO Working Group on Transportation - EWGT 2014, to be held in Seville, July 2014.
4. T. Fontes, J. Bandeira, S.R. Pereira, P. Fernandes, and M.C. Coelho, Urban road transportation planning: the trade-off between noise and atmospheric emissions, 2014 Transportation Land Use and Air Quality Conference, Charlotte, March 2014.
5. Daniela Dias, Jorge H. Amorim, Carlos Borrego, Tânia Fontes, Paulo Fernandes, Sérgio R. Pereira, Jorge M. Bandeira, Margarida C. Coelho, Oxana Tchepel. Impact of Road Transport on Urban Air Quality: GIS and GPS as a Support for a Modelling Framework, Conference GIS Ostrava 2014 – Geoinformatics for Intelligent Transportation, Ostrava, January 2014.
URL: http://gis.vsb.cz/GIS_Ostrava/GIS_Ova_2014/proceedings/papers/gis2014526a81620de5b.pdf
6. Luís Vasconcelos, Ana Bastos Silva, Álvaro Seco, Paulo J. Fernandes, Margarida C. Coelho, Turboroundabouts: A Multi-criteria Assessment on Intersection Capacity, Safety and Emissions, 93rd Transportation Research Board Annual Meeting, Washington D.C., January 2014.
URL: http://pressamp.trb.org/aminteractiveprogram/EventDetails.aspx?ID=29216
7. T. Fontes, P. Fernandes, H. Rodrigues, J. Bandeira, S.R. Pereira, M.C. Coelho, Existência de painéis de mensagem variável para gestão de incidentes de tráfego urbano: Impacte nas emissões de poluentes. 10.ª Conferência Nacional do Ambiente, University of Aveiro, November 2013.
URL: http://10cna.web.ua.pt/
8. Bandeira, J., Pereira, S.R., Fontes, T., Fernandes, P., Khattak, A.J., Coelho, M.C., An “Eco-traffic” assignment tool, 16th Euro Working Group on Transportation, Porto, September 2013. Paper 4268.
URL: http://www.ewgt2013.com/1%2009%202013_Programa%20formatado.pdf
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Thesis Project II 48
6. Future Tasks
The following tasks are expected to be developed during the second year of this doctoral research (1st of June 2014 – 31st of May 2015).
Compare the results obtained in US corridors with Portuguese corridors with similar design features (equally spacing vs. unequally spacing; traffic flows);
To explore pedestrian crosswalk locations effect in some of these corridors on traffic performance and emissions using a microsimulation approach as well as a multi-objective optimization;
To developed regression models to predict the relative occurrence of speed profiles (no stop, stop once and several stops) in corridors based on traffic flows data (corridors);
To compare performance and emissions impacts of corridors and traffic signals in corridors using a microsimulation approach.
6.1. Papers in preparation
1. Fernandes, P., Fontes, T., Pereira, S.R., Coelho, M.C., Rouphail, N.M. Multi-criteria assessment of crosswalks located in urban corridors of roundabouts. To be submitted to the Transportation Research Part A: Journal of Transportation Research A: Policy and Practice.
2. Fernandes, P., Pereira, S.R., Bandeira, J.M., Coelho, Vasconcelos, L., Silva, A.B., Seco, A.B, Coelho, M.C. Empirical Assessment of Turbo-Roundabout Operations on Intersection Capacity and Emissions. To be submitted (before 31st May, 2014) to the 94th Transportation Research Board Annual Meeting. January 11-15, 2015.
3. Fernandes, P., Neves, M., Fontes, T., Pereira, S.R., Bandeira, J.M., Coelho, M.C. Comparison between roundabouts and traffic signals in series in a corridor on traffic performance and emissions: a case study. To be submitted to the 94th Transportation Research Board Annual Meeting. January 11-15, 2015.
4. Fernandes, P., Salamati, K., Coelho, M.C., Rouphail, N.M. Identification of the Emission Hotspots in Roundabouts Corridors. To be submitted to the Transportation Research part D – Transport and Environment.
Acknowledgments
My research work is supported by a PhD scholarship (SFRH/BD/87402/2012) of
the Portuguese Science and Technology Foundation (FCT) and the R&D project
PTDC/SEN-TRA/122114/2010 (AROUND – Improving Capacity and Emission
Models of Roundabouts).
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Thesis Project II 49
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