1 Introduction

1.1 Background of the research

Motorization–development–urbanization is a steadily increasing phenomenon that is observed in many developing countries like Bangladesh. Since there are growing changes in transport sector aiming at enhancing connectivity across countries, the dependence on energy sources based on fossil fuel has increased rapidly in recent years and as a result greenhouse gas (GHG) emissions have also increased. On this backdrop, the Government of Bangladesh is pursuing an environment-friendly sustainable transport system to implement National Integrated Multimodal Transport Policy, 2013, which clearly spells out, “Future planning or transport sector must, therefore, ensure that the system is sustainable and environment friendly in the long run”. Among the major road corridors in Bangladesh, the Dhaka–Chittagong National Highway (NH1) is one of the most important economic corridors in terms of passenger and freight movement. 92% of country’s total trade (export and import) and 81% of National Ready-Made Garments (RMG) is transported by this highway with very few alternatives available. Besides, the corridor offers great potential for regional connectivity with neighboring countries, India and Myanmar. In spite of improving NH1 to four lanes to meet the forecasted traffic demand, the existing road network is failing to deliver the desired Level of Services (LOS). The number of motorized vehicles is expected to grow to at least 35,000 per day in 2020, 70,000 in 2030, and more than 120,000 in 2040, depending on the section and selected scenario for the traffic forecast (Asian Development Bank (ADB) 2012). This forecast indicates a growing traffic demand for this corridor which is alarming for utilization of this corridor in future. In spite of four lanes, the 230.0-km journey between the capital city Dhaka and the port city Chittagong would take on average 7.0 h because of congestion on the road, resulting from frequent interventions against the traffic flow.

1.2 Objectives of the research

Starting from Dhaka, there are more than forty major intersections along the national highway, up to Chittagong. The major traffic hotspots on NH1 are located at Katchpur, Madanpur, Daudkandi, Madhaiya, Comilla Cantonment, Padua Bazar, Biswa Road Intersection (Comilla), Uttar Krishnapur, Feni and Baraiyarhat (Fig. 1). However, a vehicle running on this highway has to come across instances of unauthorized market places and feeder roads, interference of slow-moving vehicles frequently, and hence, finding no other way, the vehicle cuts its speed gradually.

Fig. 1
figure 1

(Source: Ministry of Road Transport and Bridges (MoRTB) 2015a)

Layout of Dhaka–Chittagong National Highway

At every intersection, the vehicle’s speed is steeps and the vehicle remains stopped at the traffic signal till the green sign is turned on. When the vehicle stops at an intersection, the engine runs but the vehicle does not move an inch. The burning of fuel during this time becomes wastage and this emission creates negative impacts afterwards. In case of NH1, due to high traffic density, the vehicular emission of COx, NOx, SOx is comparatively higher within the surrounding areas of the road and beyond the region than the corridors of low traffic density. The proposed Dhaka–Chittagong Expressway is supposed to render an alternative to the existing situation. It promises safer, faster and environment-friendly passenger and freight transportation as well as it wills to foster economic growth of the country. The main purpose of the research is

  1. a)

    To estimate the amount of time loss and fuel loss for each vehicle at the major intersections on the existing Dhaka–Chittagong National Highway.

  2. b)

    To estimate the amount of GHG emission reduction and it’s social cost after replacing the major intersections by Dhaka–Chittagong Expressway.

  3. c)

    To estimate the reduction of accident cost, travel time cost, and vehicle operating cost after replacing the major intersections by Dhaka–Chittagong Expressway.

  4. d)

    To estimate the amount of toll collection from Dhaka–Chittagong Expressway.

  5. e)

    To evaluate the economic viability of the proposed Dhaka–Chittagong Expressway in terms of environmental and economic aspect and to evaluate the validity of the expressway construction.

Actually, economic effects of the public investment include not only direct effects but also indirect effects. Kohno (2016) defined the categories of “generation-basis” and “incidence-basis” economic effects in addition to the categories of direct and indirect economic effects of the public investment, and shows the necessity of measuring the incidence-basis indirect economic effects of public investment. In that book, the author summarizes economic effects of expressway in detail as shown in Tables 1 and 2. In this study, while recognizing the importance of measuring indirect effects, to simplify the evaluation, we focus only on the direct effects such as fuel savings, GHG emission savings, accident cost savings, vehicle operating cost saving, travel time cost savings and toll collection amount of the government which related to (1), (2) and (6) in Table 1, and (1), (2) and (5) in Table 2. We would like to emphasize that we analyzed the possibility of GHG emission “saving”, not GHG emission “increment” by the highway construction. This is thought to be a unique phenomenon in developing countries where traffic congestion is chronic. We show that highway construction in developing countries can generate a positive impact on the environment rather than a negative one in this research.

Table 1 Economic effects of expressway—no.1: 1965 (s.40) edition.
Table 2 Economic effects of expressway—no. 2: 1987 (s.62) edition.

We will also analyze indirect effect considering “generation-basis” and “incidence-basis” economic effects argued in Kohno (2016) and make a more comprehensive evaluation in near future research.

1.3 Prospects of Dhaka–Chittagong Expressway

The 217.0-km-long Dhaka–Chittagong Expressway is proposed to have four-lane carriageways with two additional service lanes for non-motorized vehicles. Connecting the capital city Dhaka to the port city Chittagong, the corridor passes through five chief districts Narayangonj, Munshigonj, Comilla, Feni and Noakhali (Fig. 1). The proposed expressway will provide enough additional capacity in this vital corridor to accommodate future traffic growth and will also meet the demand for a safer and more reliable road connection. The port city Chittagong has multi-faceted local and regional potential geo-economic prominence. The Chittagong port will be linked with a number of Government and Private owned under construction and proposed Economic Zones (4 in Chittagong, 1 in Comilla, 1 in Munshigonj, 3 in Narayangonj and 9 in Cox’s Bazar) (Bangladesh Economic Zones Authority (BEZA) 2017). The southern part of Chittagong is being developed into a prospective energy hub and JICA-financed Matarbari deep seaport will be established near Cox’s Bazaar that will engender huge freight movement on this corridor. Beyond local potentiality, the highway is also a vital portion of the Asian Highway (AH41). Again, through proposed Bangladesh, China, India, and Myanmar (BCIM) and Bangladesh, Bhutan, India, and Nepal (BBIN) regional connecting routes, Assam, Sikkim, Tripura, Mizoram, and Manipur areas in India together with China, Nepal, and Bhutan have expressed deep and significant interest in using the port of Chittagong. In this regard, an expressway connection between the capital and the port is essential for the future infrastructural development of the country and to tie in with the anticipated international counterparts.

2 Literature review

2.1 Traffic pattern of Dhaka–Chittagong National Highway

The traffic growth pattern of Dhaka–Chittagong National Highway (NH1) is completely distinguishable compared to the other national or regional highways in Bangladesh. Bi-directional traffic on this corridor portrays an increasing trend (Fig. 2). Ullah et al. (2013) evaluated different growth factors for different vehicle classes. Analyzing the vehicle composition found in this highway, Ullah et al. (2016) showed trucks were the predominant class and were significant, resulting in increased growth rate and topmost proportion in the traffic flow (Fig. 3). From transportation application standpoint, truck and bus volumes signify roadway capacity and influence road safety operations. These heavy vehicles show lower response during application of brake and acceleration compared to lightweight passenger cars or microbus. Therefore, vehicle size, weight and speed control the traffic operations behavior during mix traffic conditions which eventually leads to inefficiency of the mobility on the corridor. Based on the traffic data obtained from time to time during 2006–2014 on this corridor, medium and heavy trucks comprised an average of 39% of the total average motorized traffic (Ullah et al. 2016).

Fig. 2
figure 2

(Source: Ullah et al. 2016)

Vehicle classwise yearly traffic growth on NH1

Fig. 3
figure 3

(Source: Ullah et al. 2016)

Traffic composition of NH1 (in percentage of the total traffic)

2.2 Fuel consumption and emission in the transport sector

Transport sector is a voracious consumer of energy in Bangladesh. With the demand for transport sector multiplying annually, consumption of energy in this sector also grew in recent years parallel to the average GDP growth (Alam et al. 2013). This energy demand is mitigated mostly by imported fuel that drains out foreign currency and eventually hinders GDP growth. In spite of Government’s initiatives for switching to compressed natural gas (CNG), during the period 1999–2003, CNG driven cars have faced an accretion only from 4.59 to 4.62% per annum, while the demand for petroleum products increased 5.09% during the same period in transportation sector (Bangladesh Petroleum Corporation (BPC) 2008). Under business-as-usual (BAU) scenario, the projected fuel demand in Road sector is supposed to increase from 50 trillion BTU in 2004 to 220 trillion BTU by 2020 and about 440 trillion BTU by 2030. Particularly, diesel demand is expected to increase from 1.2 Mtoe in 2005 to 4.0 Mtoe by 2020 and more than 8.0 Mtoe by 2030 (Alam et al. 2013). Bangladesh imported 3.6 million ton of petroleum fuel in 2009 that cost US $1.99 billion (1.96% of total GDP and 16% of current account balance) (Alam et al. 2013).

The sector-wise CO2 contribution in Bangladesh is 14% (Climatelinks, 2016). Lenzen (1999) mentioned that vehicle fuel consumption is responsible for 75% of the energy consumed and GHG emissions produced during the life cycle of a road. The remaining 25% corresponds to the construction and maintenance of vehicles and infrastructure. The current study will focus on CO2, CH4, NOx, HC and CO emission.

2.3 Factors affecting vehicular emission

Guensler (1993) categorizes vehicle emissions factors based on vehicle specifications (class, type, model year, technology, total weight, engine capacity, fuel consumption mechanism, emission control technology, mileage, computerized onboard diagnostic system), fuel specifications (type, content and composition, physical and chemical properties, dissolved oxygen quantity, viscosity and volatility of fuel, hydrocarbons content), vehicle operating conditions, and vehicle operating environment. Vehicle emissions are higher for older vehicles (Pollack and Heiken 1992; Rouphail 2000; Calvert et al. 1993; Barth and Norbeck 1997). Fuel composition and physicochemical properties influence vehicle emissions (Calvert et al. 1993; Guensler 1993).

Driver behavior predominantly changes vehicle emissions since it affects the frequency and magnitude of enrichment events. Aggressive driving causes significantly higher emissions (Transportation Research Board (TRB) 1995; Shih et al. 1997; Shih and Sawyer 1996; LeBlanc et al. 1994). Recent studies also revealed a road-grade relationship with speed and acceleration (Bachman 1998). De Vlieger (1997) and De Vlieger et al. (2000) used instrumented vehicles to demonstrate that aggressive driving resulted in a sharp increase in fuel consumption (12–40%) and emissions (1–8 times) compared to normal driving. For volatile organic components (VOCs) and NOx, aggressive driving increases emissions ranging from 15–400% to 20–150%, respectively.

During the occasions of traffic jam, while driving through the urban city blocks or in parking area heavy-duty diesel vehicles remain idling and consume more fuel and cause emission, referred as vehicle idling. Based on 75 heavy-duty diesel engines and trucks, Khan et al. , (2006) reported idling emission rates for electronic fuel ignition (EFI Model Year 1989–2005) and mechanical fuel ignition (MFI Model Year 1969–1994) engine-installed vehicles and found that emission for EFI engine is less than MFI engine. Since there are MFI engine vehicles are being used in Bangladesh, during vehicle idling time, wastage of the fuel from MFI vehicles are significant for higher fleet over the year.

2.4 Road accident scenario and costs

In Bangladesh, the complexities and fatalities related to Road mishaps could well be 20,038 each year (WHO 2009). In terms of vehicle ownership, Bangladesh has one of the highest fatality rate internationally, over 100 deaths per 10,000 motor vehicles. About 70% of road accident fatalities occurred in rural areas of which nearly 50% occurred on national and regional highways. Accidents are highly clustered which implies that most of the road calamities tend to occur at some particular spots, nearly 50% of accidents on less than 5% of the highway network. Predominant accident types are hit pedestrian (45%), rear end (16.5%), head on (13.2%) and loss control/overturning (9.3%) (Hoque and Mahmud 2015). The feasibility study conducted under The Roads and Highways Department (RHD) mentioned a figure of 41 accidents per 100 million vehicle-km was found in a 2013 report that covered part of the Kanchpur-Daudkandi section (Japan International Cooperation Agency (JICA) 2013). This is a busier section than National Highway NH1 as a whole, and the project has obtained a lower value of 25 accidents per vehicle-km for National Highway NH1 as a whole, of which two are fatal and 13 are serious. For the expressway, these values are assumed to be halved, which would be in line with international experience (Ministry of Road Transport and Bridges (MoRTB) 2015a).

RHD Road User Cost 2016–2017 report has adopted net lost output method to calculate an approximate cost of accident. This report classified accident cost into main five cardinal components (a) lost output (loss to the economy of productive capacity of the person), (b) medical cost (first aid, rescue services, rehabilitation cost), (c) human cost (pain, grief and sufferings, funeral cost), (d) vehicle damage cost (repair, lost economic output, towing cost) and (e) administration cost (police investigation, legal cost, insurance administration and accident spot cleansing). Depending on the types and severity of accident [fatal road traffic accident (RTA), grievous RTA, simple RTA and property damage only (PDO)], RHD Road User Cost 2016–2017 has calculated average cost per accident. This report did not study costs related to road property damage and travel time loss from the road blockades create after the accident (Ministry of Communications (MoC) 2005).

3 Methodology

3.1 Data collection for research

The traffic data and fuel efficiency information used in this study are extracted from secondary source like published journals (e.g., International Journal of Environmental Science and Technology, Journal of Atmospheric Environment, Journal of Air Waste Manage Association), national (e.g., Ministry of Communications, Ministry of Road Transport and Bridges, Bangladesh Economic Zones Authority, Bangladesh Petroleum Corporation) and international websites (e.g., Japan International Cooperation Agency, Asian Development Bank, World Bank, Transportation Research Board, International Energy Agency) (References). In addition to that, the study derived and gathered major information support from ‘RHD Road User Cost 2004–2005 report’, ‘Draft RHD Road User Cost 2016–2017 report’, ‘Toll Policy, 2014’ and Report on ‘Feasibility Study and Detailed Design under Technical Assistance for Detailed Study and Design of Dhaka–Chittagong Expressway on PPP Basis’ published by Roads and Highways Department, Bangladesh. The theory applied in the study (Eqs. 118) was based on Transportation Research Board (TRB) (2000) and Wright (1995).

According to the RHD Road User Cost 2016–2017 report, the total traffic is divided into eight classes considering vehicle size and capacity which are class 1: motor cycle (4.03%), class 2: scooter (8.39%), class 3: car/jeep (16.94%), class 4: micro/pickup (20.69%), class 5: minibus (8.34%), class 6: bus (9.62%), class 7: truck (29.67%), class 8: trailer (2.32%) and class 9: toll free (vehicle compositions are shown). The study has computed the average bi-directional traffic growth rate (10.30%) on this passage during 2006–2014 (Table 3). For traffic projection till 2051, based on the data available in 2014 (base year), the study applies HDM (Highway Development and Management) software generated traffic growth projection. HDM software used annual traffic growth forecasts from traffic survey and analysis report of March 2015. The report cited the progression of passenger and freight traffic during 2014–2020 as 3.0% and 6.1%, during 2020–2030 as 5.99% and 4.5% and from 2030 and afterwards as 5.32% and 4.0%, respectively. The traffic composition of 2022 is considered as the base year traffic composition that is applied for this research. The projected annual average daily traffic (AADT) is estimated as 27,433 Veh/day.

Table 3 Yearly traffic growth rate on Dhaka–Chittagong National Highway

After survey done under the feasibility study, it is predicted that the market share by the expressway would be 58% in 2022 (the project will be opened by rendering access to the common mass) and afterwards (Ministry of Road Transport and Bridges (MoRTB) 2015a). Dhaka–Chittagong National Highway is aligned mostly on the flat terrain and in this study, the road surface is considered as wet condition (f = 0.33) to assume friction developed between vehicle’s tire and road surface. The existing alignment terrain of this highway is flat in most of the cases except a few undulations. Since safe stopping distances on upgrades are shorter and on downgrades are longer, in this study, the percentage of Grade (G) is neglected (G = 0) for simplification. Due to mixed traffic, the nominal velocity is considered as 100.0 kmph for free-flow condition at the expressway. Transportation Research Board (TRB) (2000) mentioned vehicle acceleration and deceleration rates to be factors in fuel economy, travel time values and estimating how normal traffic flow is resumed after a breakdown. Vehicle acceleration rates of passenger cars accelerating after a stop range between 1 and 4 m/s2, while passenger car deceleration rates vary between 2 and 8 m/s2 (Transportation Research Board (TRB) 2000). As declared in the literature review, vehicular emission depends on a number of factors. When the ‘Red Signal’ is on, the vehicle remains in ‘Idling condition’, the engine runs but the vehicle remains as it is with no sign of movement. Emission factors (EFs) are quoted from Frey et al. (2001) for driving condition and Khan et al. (2006) for engine idling.

3.2 Methods, formula and data analysis

Expressway projects or regional corridor development projects usually adds similar benefit factors. In every roadway project, travel time, vehicle operating cost savings and safety issues consume primary attention and benefits are derived from all those components. Particularly, in the study, fuel consumption reduction and social cost of emission savings are incorporated as benefit components. The income from toll collection will also add benefit to the project. The toll generated income will compensate the investment and reduce the risk of Government Equity Share (Ministry of Road Transport and Bridges (MoRTB) 2015a).

3.2.1 Calculation of loss time at an intersection

At an intersection, when the ‘Red Signal’ is turned on, the driver needs perception reaction time (2.5 s) before applying the brake. The driver decelerates the vehicle and stops before the stopping line at the intersection. The vehicle remains stopped till the ‘Green Signal’ is turned on and then the driver applies the acceleration to the vehicle to attain the optimum speed. When there is a long queue, after the first vehicle arrives at the stopping line, the second vehicle goes through headway that creates a congestion loss time for the vehicles waiting at the intersection. A vehicle needs more travel time compared to a non-signalized intersection due to perception reaction time, deceleration time, stopping time, congestion loss time and acceleration time. The delay becomes more crucial for a busy highway, when frequent intersections, roadside interferences, as well as slow-moving vehicles (SMVs) and non-motorized vehicles (NMTs) interrupt flow that eventually reduces the roadway’s desired Level of Services (LOS). The loss times have been calculated by solving the following equations (Eqs. 118) (Wright 1995):

  1. a)

    Vehicle at deceleration phase:

    $$t_{\text{d}} = t_{\text{p}} + t_{f} ,$$
    (1)

    in which \(t_{\text{d}}\) deceleration time, \(t_{\text{p}}\) perception reaction time, and \(t_{f}\) deceleration time due to friction.

    $$d_{\text{p}} = t_{\text{p}} \times v,$$
    (2)

    in which \(d_{\text{p}}\) distance covered during perception reaction time, \(t_{\text{p}}\) perception reaction time, and \(v\) vehicle speed.

    $$d_{f} = \frac{{V^{2} }}{{254\left( {f \pm G} \right)}},$$
    (3)

    in which \(d_{f}\) distance covered during deceleration due to friction, \(V\) vehicle speed in kmph, \(f\) coefficient of friction between tires and roadway, and \(G\)grade.

    $$a = \frac{{v^{2} - u^{2} }}{{2d_{f} }},$$
    (4)

    in which \(a\) deceleration, \(v\) vehicle final speed, \(u\) vehicle current speed, and \(d_{f}\) distance covered during deceleration due to friction.

    $$t_{f} = \frac{v}{a},$$
    (5)

    in which \(t_{f}\) deceleration time due to friction, \(a\) deceleration, and \(v\) vehicle speed.

  2. b)

    Vehicle at stopping phase:

    $$t_{\text{s}} = {\text{Tc}} - {\text{Tg,}}$$
    (6)

    in which \(t_{s}\) stopping time, \({\text{Tc}}\) total cycle time, and \({\text{Tg}}\) total green time.

    $${\text{DDHV}} = {\text{AADT}} \times k \times D,$$
    (7)

    in which \({\text{DDHV}}\) directional design hourly volume, \({\text{AADT}}\) annual average daily traffic, \(k\) peak hour factor (\(k = 0.12\) for sub-urban area), and \(D\) peak direction factor (\(D = 0.6\)).

    $$s = \frac{3600}{\text{h}},$$
    (8)

    in which \(s\) saturated flow (in h) and \(h\) headway (in s).

    $$c = s \times N \times \frac{g}{C},$$
    (9)

    in which \(c\) capacity of lane group, \(s\) saturated flow, \(N\) number of lane in one direction, and \(\frac{g}{C}\) effective green time to cycle time ratio.

    $$V = \frac{\text{DDHV}}{6},$$
    (10)

    in which \(V\) volume of lane and \({\text{DDHV}}\) directional design hourly volume.

    $$X = \frac{V}{c},$$
    (11)

    in which \(X\) volume to capacity ratio of lane group, \(V\) volume of lane, and \(c\) capacity of lane group.

    $$t_{i} = 900 \times T \times \left\{ {\left( {X - 1} \right) + \sqrt {\left( {X - 1} \right)^{2} + \frac{8klX}{cT}} } \right\},$$
    (12)

    in which \(t_{i}\) incremental delay, \(X\) volume to capacity ratio of lane group, \(k\) signal control adjustment factor, \(l\) upstream filtering adjustment factor, \(c\) capacity of lane group, and \(T\) time period (\(T_{\text{peak}} = 3.0\;{\text{h}}\), \(T_{{{\text{off\_peak}}}} = 21.0\;{\text{h}}\)).

  3. c)

    Vehicle at acceleration phase:

    $$t_{a} = \frac{v}{a},$$
    (13)

    in which \(t_{a}\) acceleration time, \(a\) acceleration, and \(v\) vehicle speed.

    $$t = t_{d} + t_{s} + t_{i} + t_{a} ,$$
    (14)

    in which \(t\) total time, \(t_{d}\) deceleration time, \(t_{s}\) stopping time, \(t_{i}\) incremental delay, and \(t_{a}\) acceleration time.

    $$d_{a} = ut_{a} + \frac{1}{2}at_{a}^{2} ,$$
    (15)

    in which \(d_{a}\) distance covered during acceleration, \(u\) vehicle current speed, and \(t_{a}\) acceleration time.

    $$d = d_{p} + d_{\text{f}} + d_{a} ,$$
    (16)

    in which \(d\) total distance covered during perception reaction time, deceleration time due to and acceleration time; \(d_{p}\) distance covered during perception reaction time; \(d_{\text{f}}\) distance covered during brake due to friction; \(d_{a}\) distance covered during acceleration.

    $$v = \frac{d}{{ t_{x} }},$$
    (17)

    in which \(v\) vehicle’s average speed; \(d\) total distance covered during perception reaction time, deceleration time due to and acceleration time; \(t_{x}\) time required for no intersection scenario.

    $$t_{\text{loss}} = t - t_{x} ,$$
    (18)

    in which \(t_{\text{loss}}\) time loss, \(t\) total time for perception reaction, deceleration, stopping and acceleration, and \(t_{x}\) time required for no intersection scenario.

3.2.2 Calculation of fuel consumption and GHG emission

After the construction of the expressway and providing access to the people for general use, 58% of the vehicular traffic will share the expressway and the rest 42% will remain on the existing national highway (Ministry of Road Transport and Bridges (MoRTB) 2015a). Fuel consumption (Eq. 19) has been calculated for the vehicles plying on the existing NH1 and then fuel savings have been computed for the vehicles using the newly constructed expressway. For the sake of the study, two-wheeler motorcycle and three-wheeler scooter have been excluded for the expressway since they are used for short-distance movement. Every intersection induces unnecessary fuel burn and excess gas emission. Analysis of this study has considered driving condition maneuvers (perception reaction, deceleration, complete acceleration, acceleration, and cruise) and vehicular emission estimation (Eq. 20). Emission occurring from vehicle idling is different for electronic fuel ignition (EFI, Model Year 1989–2005) and mechanical fuel ignition (MFI, Model Year 1969–1994) systems (Eq. 21). Khan et al. (2006) reported that idling emission from the vehicles with EFI system emits 20 g/h of CO, 6 g/h of HC, 86 g/h of NOX, 1 g/h of PM and 4636 g/h of CO2, on the average, and while for MFI system vehicles release 35 g/h of CO, 23 g/h of HC, 48 g/h of NOX, 4 g/h of PM and 4484 g/h of CO2 on the average. Due to lack of law enforcement and high market demand by the owners, old grumpy registered vehicles are still running on the highways in Bangladesh. In recent years, those vehicles are being replaced by hi-tech and fuel-efficient engine vehicle.

$$F_{c} = N_{\text{traffic}} \times T_{\text{tt}} \times \frac{v}{{F_{e} }},$$
(19)

in which \(F_{c}\) fuel consumption, \(N_{\text{traffic}}\) number/volume of traffic, \(T_{\text{tt}}\) travel time, \(v\) vehicle’s average speed, and \(F_{e}\) fuel efficiency.

$$E\left( {{\text{drive}}\;{\text{cond}}} \right) = n_{i} \times r\left( {{\text{drive}}\;{\text{cond}}} \right) \times t\left( {{\text{drive}}\;{\text{cond}}} \right) \times {\text{AADT,}}$$
(20)

in which \(E\left( {{\text{drive}}\;{\text{cond}}} \right)\) emission of vehicles during different driving condition, \(n_{i}\) number of intersection, \(r\left( {{\text{drive}}\;{\text{cond}}} \right)\) emission rate of vehicles during different driving condition, \(t\left( {{\text{drive}}\;{\text{cond}}} \right)\) time required for vehicles during different driving condition, and \({\text{AADT}}\) annual average daily traffic.

$$E\left( {p,e} \right) = n_{i} \times r\left( {p,e} \right) \times t \left( {\text{idling}} \right) \times {\text{AADT,}}$$
(21)

in which \(E\left( {p,e} \right)\) emission of vehicles for different pollutants and engine type, \(n_{i}\) number of intersection, \(r\left( {p,e} \right)\) emission rate of vehicles for different pollutants and engine type, \(t \left( {\text{idling}} \right)\) idling time required for vehicles for different driving condition, and \({\text{AADT}}\) annual average daily traffic.

3.2.3 Calculation of accident cost savings

The existing national highway is prone to frequent road accident due to mixed traffic. The construction of toll-paid expressway will provide a facility for slow-moving vehicles (SMVs) that is supposed to reduce SMVs’ intervention and the possibility of rear on collision. On the other hand, pedestrian access restriction will reduce ‘Hit Pedestrian’ accident drastically. Traffic on the expressway is not affected by pedestrian or non-motorized traffic, and all interchanges are grade-separated. The cost of road traffic accident (RTA) is estimated as the summation of costs associated during the accident, i.e., (a) victim-related cost (medical cost, lost labor output and pain, grief and sufferings, funeral cost), (b) property damage cost (vehicle damage repair, lost economic output, towing cost), (c) administration cost (police investigation, legal cost, insurance administration and accident spot cleansing), (d) road property damage cost and (e) traffic jam cost.

The estimated cost for each RTA for 2016 has been escalated for 2022 with social discount rate 12% (inflation 7% and matching discount 5%) while applying for the study. After accident, estimation of road property cost is quiet uncertain and unpredictable since it varies with the accident type and the road environment. For the study purpose, it is assumed that Fatal RTA causes massive destruction (i.e., guardrail and sign-signal failure) and the vehicle eventually derails from the track. Grievous RTA might hit and destroy the sign-signal post and kilometer post and simple RTA would cause damage to the kilometer post. During property damage-only (PDO) accident, a portion of road property might be dismantled. Besides, considering uniform flow, average 1.0-h travel time loss is originated from traffic jam for the post-accident site clearance as there is no alternative to the existing corridor. Current available road accident data is not much reliable. For NH1, the final report prepared by Japan International Cooperation Agency (JICA) (2013) showed 41 accidents per 100 million vehicle-km found in a 2013 report that covered part of the Kanchpur-Daudkandi section. This research has estimated that after project completion the cost of around 600 accidents would be reduced annually.

3.2.4 Calculation of vehicle operating cost and travel time cost

The study attempts to estimate vehicle operating cost (VOC) and travel time cost (TTC) due to the lost time at the intersections. VOC includes vehicle and spare motor parts purchase cost, fuel and lubricant cost, wages of operators/crews, vehicle maintenance cost, annual overhead cost, etc. While TTC is conceptualized based around that time spent during travelling has an ‘opportunity cost’ and could be applied in an alternative activity that may produce significant utility or benefit in terms of monetary value. TTC is estimated both for road users and freight consignments through average wage approach survey. For each vehicle type, the number of the travellers in work time (WT) and non-work time (NWT) is assessed. TTC for WT considers the wage rate and for NWT 35% of the wage rate (Transport Research Laboratory, UK). This study has quoted unit rate of VOC and TTC from RHD Road User Cost Report 2016–2017 report to estimate the total VOC and TTC savings for the loss time savings at the intersections.

3.2.5 Calculation of economic indicators

The future value analysis estimates the value of an asset at a specific date. We calculated the future value of project at the end of n years as

$$\mathop \sum \limits_{n = 1}^{N} {\text{FV}} = \mathop \sum \limits_{n = 1}^{N} {\text{PV}} \times \left( {1 + i} \right)^{n} ,$$
(22)

where \({\text{FV}}_{n}\) future value of project at the end of n years, \({\text{PV}}\) present value, \(i\) interest rate on government bond, and \(n\) number of years in the future.

Benefit–cost ratio (BCR) was calculated as

$${\text{BCR}} = \frac{{{\text{Total}}\;{\text{benefit}}}}{{{\text{Total}}\;{\text{cost}}}}.$$
(23)

Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

$${\text{NPV}} = \mathop \sum \limits_{n = 1}^{N} \frac{{C_{\text{t}} }}{{\left( {1 + i} \right)^{n} }} - C_{\text{o}} ,$$
(24)

where Ct net cash inflow during the period n or present value of benefit, Co total initial investment costs or present value of cost, i discount rate, and n number of time periods.

Internal rate of return (IRR) is a discount rate that makes net present value (NPV) of all cash flows of a particular project from equal to zero. We used the general formula for the calculation as follows:

$$0 = \mathop \sum \limits_{n = 1}^{N} \frac{{C_{\text{t}} }}{{\left( {1 + i} \right)^{n} }} - C_{\text{o}} ,$$
(25)

in which Ct net cash inflow during the period n or present value of benefit, Co total initial investment costs or present value of cost, i discount rate, and n number of time periods.

4 Results and discussion

4.1 Loss time and fuel savings

Frequent interventions on the highways reduce the average speed of the vehicle. Asian Development Bank (ADB) (2012) reports the average speed of the vehicle fleet on this highway to be 35–40 kmph. At no project situation, the present traffic growth will be beyond the capacity of the corridor during 2022 and the average velocity is supposed to be remarkably low. Based on the four-legged intersection, the study observed 54.0 s green time out of 120.0 s cycle time for signal at an intersection (Wright 1995). However, while running on the existing highway in 2022, a vehicle (assuming average speed is 30.0 kmph) would require on an average 71.59 s (0.0199 h) more against a non-signalized intersection due to perception reaction time (2.5 s, AASHTO recommendation), deceleration time (2.83 s) (Eq. 1), stopping time (66.0 s) (Eq. 6), congestion loss time (2.78 s) (Eq. 12) and acceleration time (2.78 s) (Eq. 13). The time lag is shown in Fig. 4. When there are frequent intersections, the delay becomes more crucial for a busy highway that eventually reduces the roadway’s desired Level of Services (LOS). After the expressway project is finished, the time loss would be 74.07 s for those vehicles (assuming average speed is 60.0 kmph) which would still be using the current NH1. But the total travel time loss would be less than the project picture. The study also estimates that the average velocity of the vehicle is directly proportional to the loss time (Fig. 5).

Fig. 4
figure 4

Distance–time graph

Fig. 5
figure 5

Relation of vehicle speed with time loss at the intersection

For the projected traffic growth in 2022 on this corridor (mentioned in Sect. 3.1), the launching of the expressway would result in an estimated fuel loss reduction of 260.39 thousand liters of petrol (7.84%) and 4989.68 thousand liters of diesel (11.97%) for the vehicles would still be using the existing national highway (Fig. 6). The amount of fuel savings (5942.15 thousand liters of petrol and 77,323.20 thousand liters of diesel) will be an outcome for the vehicles which will be using the expressway then (Table 4). These consumption amounts are very high since the fuel efficiency data (collected from RHD Road User Cost 2016–2017) are not updated and most of the older vehicles plying on the highway are less fuel efficient.

Fig. 6
figure 6

Fuel loss reduction after construction of the expressway

Table 4 Estimation of fuel cost savings during the year 2022

4.2 GHG emission savings

As mentioned in Sect. 2.3, GHG emission depends on multifarious factors (driving condition distinction, vehicle idling, type of fuel used, type of engine, etc.). This study has considered driving condition variations and vehicle idling for estimating the approximate GHG discharge. Since there are more interventions in the existing highway, driving behavior changes frequently and rather abruptly. In the expressway, the vehicle experiences optimum velocity without interferences that affect vehicular emission. For any intersection, the study estimates that different driving conditions (acceleration, deceleration, cruise, and idle) affect CO, NO and HC emission reduction by 17.18%, 8.04% and 34.43%, respectively (Table 5, Fig. 7).

Table 5 Calculation of vehicular emission for driving mode change
Fig. 7
figure 7

Effect of driving condition on emission after expressway construction

For the sake of calculating the idling emission from different engines, it is supposed that, in 2022, 90.37% vehicles (mostly medium and heavy) running on the highways will have electronic fuel ignition (EFI) engine and 9.63% vehicles will have mechanical fuel ignition (MFI) engine. Idling emission time is the summation of completely stopping time and incremental delay at the intersection during the ‘Red Signal’. During idling, emissions of carbon oxides (CO), hydrocarbon (HC), nitrogen oxides (NOx), particulate matter (PM10) and carbon dioxides (CO2) have been computed for both EFI and MFI engines. The idling emission of CO, HC, NOx and PM is estimated as 147.17 ton/year, 52.41 ton/year, 565.08 ton/year and 8.84 ton/year, respectively, when the project is non-operational. After completion of the project, the idling emission of CO, HC, NOx and PM are diminished to 70.46 ton/year, 24.61 ton/year, 274.51 ton/year and 4.15 ton/year, respectively (Table 6).

Table 6 Estimation of social cost of emission during year 2022

As one of the major ‘Heat-trapping’ gases, CO2 plays a significant role in global warming. In business-as-usual case, total CO2 emission from both MFI and EFI engine is approximated to be 31,715.17 ton/year and 15,324.56 ton/year when the project is non-operational and functional in full swing, respectively. Table 6 illustrates that after the project, CO2 emission reduces by 51.68%. The sharp and visible change in different costs of CO, NOx, PM and CO2 emission has been estimated in two case scenarios, which are the presence and the absence of the project (Table 6). Both the driving condition and the vehicle idling at the intersection are seemed to be key aspects that cause the fluctuation in fuel consumption and emission in this study, but the number of heavy-duty vehicles is very high in this corridor and thus idling emission is influenced tremendously. The study has focused on idling emission as the foremost factor for emission.

4.3 Accident cost savings, vehicle operating cost and travel time cost savings

The features of the expressway are expected to reduce the number of road accident as per international experience (Ministry of Road Transport and Bridges (MoRTB) 2015a). The study has calculated that around 600 accidents will be reduced per annum. The costs of human loss, property loss, vehicle loss has been retrieved from RHD Road User Cost Report 2016–2017 and the monetary value has seen escalated from 2016 to 2022 after applying 12% interest rate per year. The road property damage cost is estimated for repairing or constructing different road components after the accident and the cost is adjusted for 2022. The study also estimates the cost of travel time loss occurring from post-accident site clearance. Summing up all the evident three types of costs, the study summarizes different road accident costs in terms of different accident severity level, i.e., 0.13707 thousand USD per Fatal RTA (road traffic accident), 0.01949 thousand USD per Grievous RTA, 0.01616 thousand USD per simple RTA and 0.01327 thousand USD per property damaged only (PDO) RTA (Table 7). The accident cost savings would be 16.19 million USD annually (Table 8). The intersection replacement will reduce total journey time 0.781 h/vehicle for the expressway consumers. Vehicle operating cost (VOC) and travel time cost (TTC) have been calculated for the vehicles which will be using the expressway. In year 2022, for the projected traffic VOC savings is approximated to be 1.86 million USD (Table 9). Travel time cost, computed for 2022, is 55.9 million USD (Table 10).

Table 7 Calculation of unit accident cost during year 2022
Table 8 Estimation of accident cost savings during the year 2022
Table 9 Calculation of vehicle operating cost savings during the year 2022
Table 10 Calculation of travel time cost savings during the year 2022

4.4 Estimation of toll collection

Roads and Highways Department (RHD) has considered 7% inflation rate and proposed toll for the expressway during the fiscal year 2022–2023 for different vehicles based on the Toll Policy 2014. The data are used in the study to estimate the amount of total toll generated annually for the projected traffic. The Toll Policy, 2014 mentioned the revision of toll policy after 3 years. While calculating the toll for the next years after 2022, a common flat inflation rate is applied only. The amount of toll generated is 154.24 for the projected traffic during fiscal year 2022 (Table 11). The survey conducted by RHD explorers a portion of total vehicles (mostly trucks) using the toll bridges on this corridor was toll free. These vehicles were used to carry goods for different Government financed development works. For transporting by the expressway, these vehicles are also taken under toll collection.

Table 11 Calculation of toll collection for projected traffic during the year 2022

4.5 Economic viability based on environmental and economic aspects

The construction period of the project is scheduled for 4 years (fiscal year 2017–2021) and maintenance (routine and periodic) period is considered as 30 years (fiscal year 2022–2051). The discounted present value (for year 2022) of construction and maintenance cost, fuel loss savings, accident cost savings, vehicle operating cost savings, travel time cost savings and toll collection have been summarized for the projected traffic growth during 2022 (after the construction is scheduled to be finished) to 2051 in Table 12. The estimated net present value (NPV) is 762.34 million USD and benefit–cost ratio (BCR) is 1.23. The undiscounted present value of construction and maintenance cost, fuel loss savings, accident cost savings, vehicle operating cost savings, travel time cost savings and toll collection have been estimated for the traffic progressively increased growth from 2022 (after the construction is scheduled to be finished) to 2051. For undiscounted cost and benefit, the economic internal rate of return (EIRR) is found to be 18.27% (Table 13).

Table 12 Summary of present value of cost and benefit
Table 13 Summary of economic analysis

4.6 Discussion

The result of this study unearths that the vehicle plying on the existing national highway will result in travel time loss at the intersections. And with the increment of vehicle number, the loss time would be even higher. Consequently, situations of traffic stagnation will occur which will lead to the failure of the network. This study throws some lights on the fact that the expressway construction will minimize travel time loss at the intersections on the existing national highway. Replacing the intersections, this project will prohibit vehicular intervention along the highway that will reduce total travel time and vehicle operating cost. Travel time cost and vehicle operating cost savings, at the end of the day, add the external economies or benefit to the project. Travel time reduction improves transport reliability and creates additional value (Li et al. 2010). Less route uncertainty makes travelers and freight operators adjust their trip scheduling as per demand and reduce potential contingency cost of delay that has a head-on impact on the service cost and product price at the market (CIE, 2006).

One of the particular outcomes of the study is to evaluate the comparison in the reduction of excess fuel burn for the vehicles that are losing time at the intersections while using NH1 and amount of fuel savings generate after the expressway construction. Reduction in fuel consumption in this sector will save unnecessary foreign currency expenditure which could be invested in the more potential sectors according to necessity. Simultaneously, it will augment the foreign currency reserve and contribute to the GDP growth. As a result of reduced fuel consumption, GHG emission decreases substantially. GHG emission during vehicle idling has noteworthy impacts on heavy vehicles. Since the number of heavy vehicles on this corridor is gigantic, change in emission has been noticed in case of heavy-duty vehicles like coaster/mini bus, bus, truck, trailer, etc. The study estimates the social cost of GHG emission reduction for engine type variations (EFI and MFI). The social cost reduction of vehicular emissions adds potential environmental benefit to the new proposed project. From Bangladesh’s perspective, most of the economic activities are established within the close proximity to the highways. The GHG emission reduction will contribute to the health benefit to the residents and economic dwellers near the corridor. It is worth mentioning that the emission reduction will stabilize optimum roadside temperature, improve roadway environment and contribute less in global warming.

Due to several interventions and huge mixed traffic, Dhaka–Chittagong National Highway is very much susceptible to frequent road accidents. International practice has shown that access controlled dedicated highway could be a prime initiative to lessen road mishaps or vehicular collisions in this corridor (Ministry of Road Transport and Bridges (MoRTB) 2015a). Since the cost of road accident is associated with several identities including injured person and caregiver, medical services, road agency, insurance company, post-injury care center and traffic system, the cost savings will be reflected at all those sectors as well as will create a rigorous leverage on the developing economy like Bangladesh.

Moreover, this toll generated expressway will contribute to the Government’s revenue earning (internal economies or benefit) annually up to a certain project life span. Needless to say, investment in such a giant project demands an assurance of economic and financial returns. The present toll policy applied to the projected traffic will be able to ensure consumer surplus and investment returns. As a limitation of the research, the study was confined within the features associated with replacing the intersections and did not consider all the potential aspects of the corridor. But still, the net benefit is 762.34 million USD and BCR is more than 1. The EIRR for undiscounted cost and benefit is estimated to be close to 18.27%. The present cost of capital is roughly 12% (assumed for this project and period) for Bangladesh. Since the EIRR is more than the cost of capital, the project is very much feasible for investment (World Bank 1998).

Greater Mekong Sub-region East–West Economic Corridor Eindu to Kawkareik Road Improvement Project (Myanmar), which was assessed by ADB also considered similar benefit factors mentioned above. The EIRR of the project was 19.5% and BCR was 1.299. In the preliminary financial analysis of JICA-financed Bangalore–Chennai Expressway (270 km), the highest priority expressway network in India under the National Highways Authority of India (NHAI), EIRR was 24.5% (Ministry of Economy, Trade and Industry 2012). Economic study of these two projects has similarity with the proposed Dhaka–Chittagong Expressway.

5 Conclusion

The feasibility study (Ministry of Road Transport and Bridges (MoRTB) 2015a, b) summarizes a multi-criteria analysis (MCA) among the five alternative options that cover technical quality assessment, social impact assessment, environmental impact and financial parameters to a great extent. Since the feasibility study had a wide range of scope of work, it explored rigorously potential impacts associated with the new construction project. The social impact assessment analysis was very much prime in that respect. In this study, we calculated the environmental impact cost in various perspectives. Cost savings from less fuel burning and corresponding reduction in GHG emission were the major findings of this study. While doing this, we have considered the fuel use practice and variation in engine used in vehicles in Bangladesh that are very much identical compared to the feasibility study. We estimated the cost of emission reduction. These fuel cost savings and emission cost savings are unique in this study and contribute to the benefit of Dhaka–Chittagong Expressway Construction Project. Except for the feasibility study, we considered additional parameters (traffic congestion loss time cost, repair cost of road structures) to calculate the accident cost savings from the new project. These particular changes have made this study unique and identical to the feasibility study.

The economic impacts of transportation projects are perplexed enough to measure precisely. Though the conceptual framework to obtain the benefits of transportation projects is very straightforward, it cannot always be measured by the market value of the services rendered. Indirect approaches ought to be taken to assess them. The evaluation of transport projects demands multi-criteria analysis (MCA) for comparing both the statuses before and after the project. Owing to the complex nature of transport projects, every study associated with this sector requires considerable assumption and value judgment. The utmost goal of most of the transport projects is to provide comfort, convenience, and reliability of service within the least of transport costs to the users. On the other hand, the Government’s investment decision points straight towards the stimulation of economic and infrastructural development and indubitably, overall environmental betterment. In this dubious situation, economic and environmental sustainability together poses a challenge to investment.

Expressway bypasses intersections and reduces potentials interferences at the intersection. The study proved that a vehicle plying on the highways with frequent interventions required more travel time (74.07 s) compared to a vehicle plying on the freeways. Travel time controls several factors like vehicle operating costs, fuel consumption, GHG emission, etc. In several developing countries this is recognizable that the passenger and commercial transportation system has a mutual correlation with the development indicators. With smooth and swift connectivity and accessibility, more job sector is created, market flourishes and trade is enhanced rapidly which eventually contributes to the GDP of the country. In this sense, utilizing the allocated budget for the transport sector by rigorous and inclusive research and analysis in the best possible manner is cardinal to favor the economy at the end of the day.

The target of this specific research was to explore, unravel and exploit the potential significance and boons of the proposed Dhaka–Chittagong Expressway taking environment and economic perspectives on the radar. Despite a few research limitations, the study measures the amount of travel time savings for the projected level of traffic that would be using the expressway. The research outcome concludes with the major quantity of fuel savings that would substantially lessen the wastage of foreign currency to import fuel. Additionally, fuel consumption reduction undoubtedly reduces the vehicular emission in the purlieu of the roadway that reduces roadside temperature and increases visibility. In the study, two different types of emission factors (driving modes and Idling emission) were considered. Changes in driving modes found that after the project finished CO, NO and HC emission would be reduced. The idling emission of CO, HC, NOx and PM is estimated for MFI and EFI engines. GHG emission reduction (for MFI and EFI engine) would also contribute to cut down likely risks of the carcinogenic diseases born from the roadway environment. The study finally estimates the social cost of GHG emission reduction which is the reduction of negative externalities by compensating vehicular emission which adds value to a sustainable environment.

When there are intermittent intervals in the highways, the driver becomes more aggressive to cover up the lost time to reach the destination as quickly as possible. Belligerent driving stimulates vehicular emission and sharply engenders wearing and tearing out of engine, brakes, tires, etc., and thus maintenance costs (costs of lubricants, replace motor parts, etc.) increases. Reduction of intersections and interferences effectively slashes travel time and vehicle operating hours to the bone. Generally, in the developing countries, large investment in the flagship project needs to consider various factors of feasibility like cost of capital, financial stability and viability of the investor, assurance of the capital return, interest rates of financial institutions, projected demands functions, etc. With numerous other constraints, the research finds present value of benefit (4050.11 Million USD), present value of cost (3287.77 million USD), net present value (762.34 million USD); benefit–cost ratio (1.23) and economic internal rate of return (18.27%) are creditworthy in considering environmental and economic dimensions. This research outcome might be implied as a positive tool while taking decision in expressway investment in future. The study finds significant emission reduction that can cause a positive implication on ecology and biodiversity which can be mentioned as the social cost saving for the Sustainable Transport System initiated by the Government. Emission reduction in similar project can be an exemplary model of clean development mechanism for a developing country like Bangladesh and a sustainable project for investment by the industrialized countries.

Last but not least, the study widens up an extended horizon and arena of vision in focusing on the successful implementation of sustainable development goals (SDGs). Going hand in hand with the rapid accessibility by improving links, the project promotes inclusive mobility, resource management, energy efficiency, safety and security, climate risks assessments and enhance the resilience of existing and future infrastructure.