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eISSN: 2572-8520

Civil Engineering

Research Article Volume 2 Issue 2

Regional freight movement and its impact on air quality: simulation of freight traffic and pavement maintenance operations

Md Shohel Reza Amin,1 Umma Tamima,2 Luis E Amador Jim nez2

1Environment & Computing, Coventry University, UK
2Department of Building, Concordia University, Canada

Correspondence: Md Shohel Reza Amin, Lecturer in Highway & Transportation Engineering, Faculty of Engineering, Environment & Computing, Coventry University, Priory Street, Coventry CV15FB, United Kingdom, Tel 44-07453171712

Received: January 28, 2017 | Published: March 8, 2017

Citation: Amin MSR, Jiménez LEA, Tamima U. Regional freight movement and its impact on air quality: simulation of freight traffic and pavement maintenance operations. MOJ Civil Eng. 2017;2(2):72-80. DOI: 10.15406/mojce.2017.02.00031

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Abstract

Freight movement emits greenhouse gases (GHGs) and deteriorates pavement - thereby causing additional emissions from pavement maintenance and rehabilitation (M&R) treatments. This study predicts the carbon dioxide equivalent GHGs (CO2e GHGs) emission from simulated freight movement and pavement M&R operations on regional highways connecting the Canadian provinces of New Brunswick, Prince Edward Island, Newfoundland and Labrador, Nova Scotia and Quebec. This study estimates the equivalent single axle loads (ESALs), CO2e GHGs emissions, and vehicle-distance on every regional highway for a 30 years period. The International Roughness Index (IRI) estimates pavement deterioration curves for highways based on ESALs and observed pavement strength. Linear programming of life-cycle optimization estimates the pavement M&R operations required to maintain the pavement in good condition during the design period. The simulated freight traffic will emit 1.279 million tons of carbon dioxide gas while emissions from pavement M&R treatments will be 1.403-1.755 million tons of CO2e GHGs.

Keywords: carbon dioxide, maintenance and rehabilitation, pavements, spatial input-output model, simulation

Introduction

Road infrastructure has significant impact on trade flow, its growth and development. Freight movement on roads is the major contributor to trade flow in Canada.1 The proportion of trade flow via road is increasing because of the reduction in production and distribution costs; income, population and employment growth; and reduction in the cost of freight transport for less risk and higher reliability compared to other modes of freight transport.2 This is the case for the interprovincial trade flow of Atlantic Canada. With the exemption of mining activities in Labrador, which are directly connected to Quebec by rail, the rest of the goods produced by New Scotia, Prince Edward Island, Newfoundland and New Brunswick are moving through Highways 1, 2, 7, 15, 16, 102 and 104 to reach their final consumption markets.

Construction and maintenance of road infrastructure cause environment burdens such as greenhouse gases (GHGs) emissions, climate change and wetland conversion etc. These impacts are sometimes seen as localized matters and treated by reducing the levels of certain pollutants, rather than as a systemic problem that needs to be addressed at policy and planning level.3 Investment strategies require to address these issues since sustainable development of road infrastructure can only be achieved by predicting and integrating the environmental impacts into the planning system. This study estimates the carbon dioxide equivalent GHGs (CO2eGHGs) emissions from interprovincial freight movement and pavement maintenance and rehabilitation (M&R) operations of regional highways in Atlantic Canada.

Literature review

Transportation asset management decisions are constructed over three pillars-economic development, ecological sustainability, and social desirability. Evaluation of maintenance decisions normally focuses on economic efficiency of transportation policies and investment decisions, rather than looking at environmental impact aspects such as energy consumption and GHGs emissions at different phases of transport infrastructure life-cycle.4 The maintenance decisions, based on only the economic measures, ignores the environmental burdens to the climate from M&R operations. The estimation of GHGs emissions from M&R operations of road infrastructure is required in support of the direct regulation or market mechanism to internalize environmental externalities of M&R operations.

Life cycle assessment (LCA) is an analytical technique for assessing potential environmental burdens to climate and is used to measure progress toward environmental sustainability.5,6 Keoleian & Spitzley.7 LCA of road infrastructure studies the environmental aspects and potential impacts throughout its life from raw material acquisition through production, use and disposal.5 The LCA model includes the acquisition and processing of raw materials, construction processes, maintenance activities, transport of materials and equipment to and from the construction site, construction and maintenance related traffic congestion, overlay roughness effects on vehicular travel and fuel consumption during normal traffic flow and end of life.5

Different studies5-8 performed LCA to estimate the environmental impacts and energy consumption during the life cycle of pavement. Zhang et al.5 developed an integrated LCA and life cycle cost analysis (LCCA) model to calculate the environmental impacts and costs of overlay systems. The model identified that engineered cementitious composite (ECC) overlay system of the rigid pavement reduced GHGs emissions by 32 percent and 37 percent compared to the concrete overlay system and the HMA overlay system, respectively, over the entire 40 year life cycle of the rigid pavement.5

Chappat & Bilal7 reported an in-depth analysis of energy consumption and GHGs emissions over 20 different paving product types. Their comparisons revealed that Portland Cement Concrete paving materials and processes demanded the most energy, followed by hot mix asphalt paving. The report also showed that cold in-place recycling is the least energy intensive process. The report estimated that traffic consumed between 10 and 345 times the energy of road construction and maintenance over the period of 30 years depending on whether the traffic was light or heavy.7 Similar to Chappat & Bilal,7 Terrel & Hicks9 identified that hot in-place recycling utilized less energy than hot mix asphalt paving.

Drochies6 examined the entire cycle of pavement construction from production to final construction (production, extraction, manufacture, transport and laying) of different types of road pavement structures over a thirty year service life with respect to energy consumption and GHGs emissions. The examination concluded that binder and mix manufactures are mainly responsible for GHGs emissions of hot mix bituminous pavements and continuous reinforced concrete pavements.6

Chevoits & Galehouse8,9 evaluated the energy efficiency and GHGs emissions from pavement's life extension and revealed that pavement preservation treatments significantly reduced energy use and GHGs emissions compared to traditional rehabilitation and reconstruction strategies. Miller & Bahia10 also revealed that proactive maintenance was the least energy intensive process because minimal improvements were made to the pavement structure and surface course. The Canadian Construction Association (2005) developed a “Road Rehabilitation Energy Reduction Guide for Canadian Road Builders” to provide information on methods to reduce energy usage during road construction and maintenance operations. None of these studies considered the simulated freight traffic based on future trade flow and resulting M&R operations in the LCA models.

Methodologies

Spatial input-output modeling

Traditional forecasting of freight transport ignores different critical issues because of the stable relationship between gross domestic product and traffic forecasting. Moreover, traffic forecasting was mainly concerned with urban traffic in which freight transport has a negligible contribution.11 The basic mechanism of predicting the freight travel demand is the prediction of potential volumes of freight traffic, which is later distributed among various types/modes of transportation according to their performance in terms of cost, time and reliability. After that, these modes are assigned to different routes based on ton-km ratio which is later translated into vehicle-km ratio.

This study estimates the inter-provincial trade flow based on a spatial input-output model and provincial capitals are considered as points of origins and destinations of trade flow. The spatial input-output model adopted in this study, includes the trade flow of goods and services for which the factors of production are private consumption, gross investment, government spending (both federal and provincial), and net exports. Gross investment includes non-residential investment (expenditure for firms for machines and tools), residential investment (expenditure by households and firms on apartments, buildings and factories), and change in inventories in a given period. Government spending consists of federal expenditure on provinces, provincial expenditure, and federal government transfers of funds to provincial governments. Net export is the summation of net international export (International export-international import) and net domestic export (domestic export-domestic import). Production of goods and services, and factors of production are included in the spatial input-output model as the sectors.12

In principle, every sector requires input/production factors from other sectors except in the case of basic productive activities. Induced production at each province can be calculated given the amounts of final demand in one or more sectors of all other provinces, which is allocated among provinces through spatial distribution functions. The allocation of induced production among different provinces according to demand eventually causes flows of goods and services among different provinces through provincial road infrastructures.12

The total demand for sector n in a particular province i (T D i n ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaGGOaGaamivaiaadseapaWaa0baaKqbGeaapeGaamyAaaWd aeaapeGaamOBaaaajuaGcaGGPaaaaa@3C9C@ is calculated by Equation 1.

T D i n = I D i mn +E D i n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGubGaamira8aadaqhaaqcfasaa8qacaWGPbaapaqaa8qa caWGUbaaaKqbakabg2da98aadaqfGaqabeqabaGaaGzaVdqaa8qacq GHris5aaGaamysaiaadseapaWaa0baaKqbGeaapeGaamyAaaWdaeaa peGaamyBaiaad6gaaaqcfaOaey4kaSIaamyraiaadseapaWaa0baaK qbGeaapeGaamyAaaWdaeaapeGaamOBaaaaaaa@4A3F@             I D i mn =( P n,t i = P i n,t1 + P i n,t * I i n,t )*P D i mn MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacqGHaiIicaWGjbGaamira8aadaqhaaqcfasaa8qacaWGPbaa paqaa8qacaWGTbGaamOBaaaajuaGcqGH9aqpdaqadaWdaeaapeGaam iua8aafaqabeGabaaajuaibaWdbiaad6gacaGGSaGaamiDaaWdaeaa peGaamyAaaaajuaGcqGH9aqpcaWGqbWdamaaDaaajuaibaWdbiaadM gaa8aabaWdbiaad6gacaGGSaGaamiDaiabgkHiTiaaigdaaaqcfaOa ey4kaSIaamiua8aadaqhaaqcfasaa8qacaWGPbaapaqaa8qacaWGUb GaaiilaiaadshaaaGaaiOkaiaadMeajuaGpaWaa0baaKqbGeaapeGa amyAaaWdaeaapeGaamOBaiaacYcacaWG0baaaaqcfaOaayjkaiaawM caaiaabQcacaWGqbGaamira8aadaqhaaqcfasaa8qacaWGPbaapaqa a8qacaWGTbGaamOBaaaaaaa@5F63@  (1)

P D i mn =PDmi n mn +( PDma x mn PDmi n mn )*expexp δ mn U i n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGqbGaamira8aadaqhaaqcfasaa8qacaWGPbaapaqaa8qa caWGTbGaamOBaaaajuaGcqGH9aqpcaWGqbGaamiraiaad2gacaWGPb GaamOBa8aadaahaaqcfasabeaapeGaamyBaiaad6gaaaqcfaOaey4k aSYaaeWaa8aabaWdbiaadcfacaWGebGaamyBaiaadggacaWG4bWdam aaCaaajuaibeqaa8qacaWGTbGaamOBaaaajuaGcqGHsislcaWGqbGa amiraiaad2gacaWGPbGaamOBa8aadaahaaqcfasabeaapeGaamyBai aad6gaaaaajuaGcaGLOaGaayzkaaGaaeOkaiGacwgacaGG4bGaaiiC aiGacwgacaGG4bGaaiiCaiabgkHiTiabes7aK9aadaahaaqabeaape GaamyBaiaad6gaaaGaamyva8aadaqhaaqcfasaa8qacaWGPbaapaqa a8qacaWGUbaaaaaa@650E@

P i n,t1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaqGqbWdamaaDaaajuaibaWdbiaabMgaa8aabaWdbiaab6ga caGGSaGaaeiDaiabgkHiTiaaigdaaaaaaa@3D32@ = Production of sector n in province i for time (t-1)

Δ P i n,t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacqGHuoarcaqGqbWdamaaDaaajuaibaWdbiaabMgaa8aabaWd biaab6gacaGGSaGaaeiDaaaaaaa@3CF0@ = Growth of production of sector n in province i between time (t-1) and t

I i n,t = A i n,t i A i n,t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGjbWdamaaDaaajuaibaWdbiaadMgaa8aabaWdbiaad6ga caGGSaGaamiDaaaajuaGcqGH9aqpdaWcaaWdaeaapeGaamyqa8aada qhaaqcfasaa8qacaWGPbaapaqaa8qacaWGUbGaaiilaiaadshaaaaa juaGpaqaa8qadaqfqaqabKqbG8aabaWdbiaadMgaaKqbagqapaqaa8 qacqGHris5aaGaamyqa8aadaqhaaqcfasaa8qacaWGPbaapaqaa8qa caWGUbGaaiilaiaadshaaaaaaaaa@4B71@ = Proportion of the increment of n allocated to province i for time t

A i n,t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaqGbbWdamaaDaaajuaibaWdbiaabMgaa8aabaWdbiaab6ga caGGSaGaaeiDaaaaaaa@3B7B@  = Attractor of sector n in province i for period t

E D i n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGfbGaamira8aadaqhaaqcfasaa8qacaWGPbaapaqaa8qa caWGUbaaaaaa@3AA7@  = exogenous demand for n from zone other than five provinces and considered as zero

PD i mn MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaqGqbGaaeira8aadaqhaaqcfasaa8qacaqGPbaapaqaa8qa caqGTbGaaeOBaaaaaaa@3B9A@  = amount of production of sector n demanded by a unit of sector m in zone i

PDmi n m n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGqbGaamiraiaad2gacaWGPbGaamOBa8aadaahaaqcfasa beaapeGaamyBaaaacaWGUbaaaa@3D6A@ = minimum amount of n required by a unit production of m

PDmax mn MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaqGqbGaaeiraiaab2gacaqGHbGaaeiEa8aadaahaaqcfasa beaapeGaaeyBaiaab6gaaaaaaa@3D5E@  = maximum amount of n required by a unit production of m

δ mn MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaqG0oWdamaaCaaajuaibeqaa8qacaqGTbGaaeOBaaaaaaa@3A2E@ = elasticity parameter of m with respect to the cost of input n

U i n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaqGvbWdamaaDaaajuaibaWdbiaabMgaa8aabaWdbiaab6ga aaaaaa@39E8@ = disutility of n in i, where U i n = P D i mn [ minmin( P D i mn ) ] θ m MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGvbWdamaaDaaajuaibaWdbiaadMgaa8aabaWdbiaad6ga aaqcfaOaeyypa0ZaaSaaa8aabaWdbiaadcfacaWGebWdamaaDaaaju aibaWdbiaadMgaa8aabaWdbiaad2gacaWGUbaaaaqcfa4daeaapeWa amWaa8aabaWdbiGac2gacaGGPbGaaiOBaiGac2gacaGGPbGaaiOBam aabmaapaqaa8qacaWGqbGaamira8aadaqhaaqcfasaa8qacaWGPbaa paqaa8qacaWGTbGaamOBaaaaaKqbakaawIcacaGLPaaaaiaawUfaca GLDbaapaWaaWbaaKqbGeqabaWdbiaabI7ajuaGpaWaaWbaaKqbGeqa baWdbiaab2gaaaaaaaaaaaa@53E1@

θm= degree of scaling. If utility function is fully scaled θ m MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacqaH4oqCpaWaaWbaaKqbGeqabaWdbiaad2gaaaaaaa@39BC@ = 1, otherwise zero.

The demand for production of good n in province j is the product of the total demand for n and the probability that the production of n in province jis demanded by other provinces (Equation 2)(Amador-Jimenez and Amin, 2013).

P j n = i T D i n * Pr ij n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGqbWdamaaDaaajuaibaWdbiaadQgaa8aabaWdbiaad6ga aaqcfaOaeyypa0Zaaybuaeqajuaipaqaa8qacaWGPbaajuaGbeWdae aapeGaeyyeIuoaaiaadsfacaWGebWdamaaDaaajuaibaWdbiaadMga a8aabaWdbiaad6gaaaqcfaOaaiOkaiGaccfacaGGYbWdamaaDaaaju aibaWdbiaadMgacaWGQbaapaqaa8qacaWGUbaaaaaa@49F0@   Pr ij n = ( A j n ) α n *expexp β n U ij n j ( A j n ) α n *expexp β n U ij n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacqGHaiIiciGGqbGaaiOCa8aadaqhaaqcfasaa8qacaWGPbGa amOAaaWdaeaapeGaamOBaaaajuaGcqGH9aqpdaWcaaWdaeaapeWaae Waa8aabaWdbiaadgeapaWaa0baaKqbGeaapeGaamOAaaWdaeaapeGa amOBaaaaaKqbakaawIcacaGLPaaapaWaaWbaaeqajuaibaWdbiabeg 7aHLqba+aadaahaaqcfasabeaapeGaamOBaaaaaaqcfaOaaiOkaiGa cwgacaGG4bGaaiiCaiGacwgacaGG4bGaaiiCaiabgkHiTiabek7aI9 aadaahaaqabKqbGeaapeGaamOBaaaajuaGpaWaaCbiaeaapeGaamyv aaWdaeqabaWdbiablYJi6aaapaWaa0baaKqbGeaapeGaamyAaiaadQ gaa8aabaWdbiaad6gaaaaajuaGpaqaa8qadaqfqaqabKqbG8aabaWd biaadQgaaKqbagqapaqaa8qacqGHris5aaWaaeWaa8aabaWdbiaadg eapaWaa0baaKqbGeaapeGaamOAaaWdaeaapeGaamOBaaaaaKqbakaa wIcacaGLPaaapaWaaWbaaeqajuaibaWdbiabeg7aHLqba+aadaahaa qcfasabeaapeGaamOBaaaaaaqcfaOaaiOkaiGacwgacaGG4bGaaiiC aiGacwgacaGG4bGaaiiCaiabgkHiTiabek7aI9aadaahaaqabeaape GaamOBaaaapaWaaCbiaeaapeGaamyvaaWdaeqabaWdbiablYJi6aaa paWaa0baaKqbGeaapeGaamyAaiaadQgaa8aabaWdbiaad6gaaaaaaa aa@777C@                     U ij n = U ij n [ min( U ij n ) ] θ m MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfa4aaCbiae aaqaaaaaaaaaWdbiaadwfaa8aabeqaa8qacqWI8iIoaaWdamaaDaaa juaibaWdbiaadMgacaWGQbaapaqaa8qacaWGUbaaaKqbakabg2da9m aalaaapaqaa8qacaWGvbWdamaaDaaajuaibaWdbiaadMgacaWGQbaa paqaa8qacaWGUbaaaaqcfa4daeaapeWaamWaa8aabaWdbiGac2gaca GGPbGaaiOBamaabmaapaqaa8qacaWGvbWdamaaDaaajuaibaWdbiaa dMgacaWGQbaapaqaa8qacaWGUbaaaaqcfaOaayjkaiaawMcaaaGaay 5waiaaw2faa8aadaahaaqcfasabeaapeGaaeiUdKqba+aadaahaaqc fasabeaapeGaaeyBaaaaaaaaaaaa@51F6@                            (2)

Where Pr ij n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qaciGGqbGaaiOCa8aadaqhaaqcfasaa8qacaWGPbGaamOAaaWd aeaapeGaamOBaaaaaaa@3BCF@  is the probability that the production of sector n demanded in province i is located in province j; A j n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGbbWdamaaDaaajuaibaWdbiaadQgaa8aabaWdbiaad6ga aaaaaa@39DB@ is the attractor term for the production of n in j; α n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacqaHXoqypaWaaWbaaKqbGeqabaWdbiaad6gaaaaaaa@39A6@ is a parameter that regulates the relative importance of the attractor versus the utility function in the location of sector n; β n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacqaHYoGypaWaaWbaaKqbGeqabaWdbiaad6gaaaaaaa@39A8@ is the dispersion parameter of the multinomial logit model; and U i n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGvbWdamaaDaaajuaibaWdbiaadMgaa8aabaWdbiaad6ga aaaaaa@39ED@  is the utility function of sector n between province i and j.

Freight demand for transporting goods and services among different provinces is estimated following Equation 3.6

F ij = n ( P ij n vo l n p c n tim e n + P ji n vo l n c p n tim e n ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGgbWdamaaBaaajuaibaWdbiaadMgacaWGQbaapaqabaqc fa4dbiabg2da9maawafabeqcfaYdaeaapeGaamOBaaqcfayab8aaba WdbiabggHiLdaadaqadaWdaeaapeGaamiua8aadaqhaaqcfasaa8qa caWGPbGaamOAaaWdaeaapeGaamOBaaaajuaGdaWcaaWdaeaapeGaam ODaiaad+gacaWGSbWdamaaCaaajuaibeqaa8qacaWGUbaaaKqbakaa dchacaWGJbWdamaaCaaajuaibeqaa8qacaWGUbaaaaqcfa4daeaape GaamiDaiaadMgacaWGTbGaamyza8aadaahaaqabKqbGeaapeGaamOB aaaaaaqcfaOaey4kaSIaamiua8aadaqhaaqcfasaa8qacaWGQbGaam yAaaWdaeaapeGaamOBaaaajuaGdaWcaaWdaeaapeGaamODaiaad+ga caWGSbWdamaaCaaajuaibeqaa8qacaWGUbaaaKqbakaadogacaWGWb WdamaaCaaajuaibeqaa8qacaWGUbaaaaqcfa4daeaapeGaamiDaiaa dMgacaWGTbGaamyza8aadaahaaqcfasabeaapeGaamOBaaaaaaaaju aGcaGLOaGaayzkaaaaaa@68B6@                                                                         (3)

Where    F ij     MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGgbWdamaaBaaajuaibaWdbiaadMgacaWGQbaapaqabaqc fa4dbiaacckacaGGGcGccaGGGcaaaa@3DDD@ is the freight flow from province i to province j; P ij n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGqbWdamaaDaaajuaibaWdbiaadMgacaWGQbaapaqaa8qa caWGUbaaaaaa@3AD8@ is the production of sector n located at province j and consumed in province i; P j i n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGqbWdamaaBaaajuaibaWdbiaadQgaa8aabeaapeGaamyA aKqba+aadaahaaqcfasabeaapeGaamOBaaaaaaa@3BD3@ is the production of sector n located at province i and consumed in province j; vo l n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWG2bGaam4BaiaadYgapaWaaWbaaeqajuaibaWdbiaad6ga aaaaaa@3AE7@ is the value-to-volume factor for the economic flow of sector n; tim e n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWG0bGaamyAaiaad2gacaWGLbWdamaaCaaajuaibeqaa8qa caWGUbaaaaaa@3BCA@ is the time factor for the economic flow of sector n; c p n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGJbGaamiCa8aadaahaaqcfasabeaapeGaamOBaaaaaaa@39E4@  is the proportion of economic flow of sector n that moves in the direction consumption to production; p c n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaieaaaaaa aaa8qacaWGWbGaam4ya8aadaahaaqcfasabeaapeGaamOBaaaaaaa@39E4@  is the proportion of economic flow of sector n that moves in the direction production to consumption.13

Factors of transportation modeling

The peak capacities of each link of the selected highways were calculated based on the method adopted by the British Columbia Ministry of Transportation14 in the Trans-Canada Highway 1-Malahat Corridor Study to calculate peak capacity. The peak capacity of highway 1, 2, 7, 15, 16, 102, and 104 is 3469, 3290, 3440, 3551, 3358, 3616 and 3499 vehicles per hour respectively. Since this paper is concerned with freight transport, the transportation attributes of trucks were considered for the traffic simulation. The operating cost, which includes fixed cost, distance-related cost, time-related cost, possible charges and energy cost, was calculated based on Equation 4.12 The waiting and travel time values of truck drivers is assumed to be zero since traveling and waiting time are within their salary. This study ignores the self-employed truckers.

C op = C F + C T + C D + C c + C e MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGVbGaamiCaaqabaGccqGH9aqpcaWGdbWaaSbaaSqaaiaa dAeaaeqaaOGaey4kaSIaam4qamaaBaaaleaacaWGubaabeaakiabgU caRiaadoeadaWgaaWcbaGaamiraaqabaGccqGHRaWkcaWGdbWaaSba aSqaaiaadogaaeqaaOGaey4kaSIaam4qamaaBaaaleaacaWGLbaabe aaaaa@4697@                                             (4)

CF = The fixed operating cost of a truck once for every trip made; usually refers to administrative costs and loading/unloading cost. The average fixed cost for a 6-axle truck at 10% profit margin is CAD 1.93 per km (CAD 2.094 per km for Quebec, CAD 1.885 per km for New Brunswick, CAD 1.838 per km for Nova Scotia, CAD 1.848 per km for Prince Edward Island, and CAD 1.985 per km for Newfoundland and Labrador).15

CT = Drivers’ salaries and capital payments. According to the Economic Analysis Directorate,16 the truck would either be sold or retired for use as an urban pickup and delivery unit after 500,000 to 750,000 miles (or 800,000 to 1.2 million km). The trucks operate for an average of 8 years considering 100,000 miles (160,000 km) of driving per year. The average purchasing cost of a 6-axle truck for the selected five provinces is CAD 126,000 (Quebec CAD 130,000, New Brunswick CAD 121,000, Nova Scotia CAD 121,000, Prince Edward Island CAD 133,000, and Newfoundland and Labrador CAD 121,000).16 The capital payment and driver’s salary is CAD 21.60 per hour considering 270 working days per year and 10 hours per day for operating the truck by the drivers.12

CD = Operating cost CAD 1.4 per km15, usually includes tires, spares, maintenance, lubricants, and others. This cost varies by link type.

Cc = Charges paid by driver for tolls, parking, duties, etc. The charges of tolls, parking and duties were assumed to be zero.

Ce = energy cost. The energy cost of the truck is calculated by Equation 5based on the minimum and maximum consumption of energy and optimal speed.17 Here the price of gas is CAD 3.65 per gallon. An aerodynamic 18-wheel truck with a smooth side van trailer, 80,000 pounds gross vehicle weight, operates at 60 miles per hour. This results in a truck getting about 6 miles per gallon.18,12

C e =[ e d o min +(e d o max e d o min )*exp( δ o V o ) ]p e o MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGLbaabeaakiabg2da9maadmaabaGaamyzaiaadsgadaqh aaWcbaGaam4BaaqaaiGac2gacaGGPbGaaiOBaaaakiabgUcaRiaacI cacaWGLbGaamizamaaDaaaleaacaWGVbaabaGaciyBaiaacggacaGG 4baaaOGaeyOeI0IaamyzaiaadsgadaqhaaWcbaGaam4BaaqaaiGac2 gacaGGPbGaaiOBaaaakiaacMcacaGGQaGaciyzaiaacIhacaGGWbGa aiikaiabgkHiTiabes7aKnaaCaaaleqabaGaam4BaaaakiaadAfada WgaaWcbaGaam4BaaqabaGccaGGPaaacaGLBbGaayzxaaGaamiCaiaa dwgadaWgaaWcbaGaam4Baaqabaaaaa@5D14@                 (5)

e d o min MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyzaiaads gadaqhaaWcbaGaam4BaaqaaiGac2gacaGGPbGaaiOBaaaaaaa@3BBD@ = Minimum consumption of energy per mile when the truck travels at free flow speed

e d o max MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyzaiaads gadaqhaaWcbaGaam4BaaqaaiGac2gacaGGHbGaaiiEaaaaaaa@3BBF@ = Maximum consumption of energy per mile when the truck travels at a speed close to zero

V o MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOvamaaBa aaleaacaWGVbaabeaaaaa@37F2@ = Speed of vehicle (mph)

p e o MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiCaiaadw gadaWgaaWcbaGaam4Baaqabaaaaa@38F6@ = Price of unit of energy (CAD per gallon)

Minimum and maximum parameters of the elastic trip generation function in the transport model were taken as 0.21 and 0.27.19 The maximum trip generation rate is the maximum number of trips that a trip maker is willing to make in the time period of the simulation when the travel disutility tends to zero.12

Different categories of straight trucks and Tractor trailers (CAT 5-13 of Federal Highway Administration, FHWA) are assumed to carry an average CAD 1 million worth of goods and services. According to the Canadian Annual Vehicle Survey 2009,20 54,871 registered trucks (weight 15 tons and over) of the selected five provinces made trips of 4,465.1 million vehicle-km. On the other hand, trade flow among these five provinces was CAD 97,125 million during 2009. If we consider that 57% of interprovincial trade flow was carried out by truck (Statistics Canada 2009), a truck carries tentatively CAD$ 1 million worth of goods and services.12

Pavement performance modeling

Pavement performance modeling was based on the mechanistic modeling of roughness progression by Equation 6.21,22 Equation 6shows that roughness progression (International Roughness Index, IRI) is the function of initial as-built quality (IRI0), ESALs at time t (ESALt), SN, and mean environmental exposure (Thornthwaite moisture index, m). However, the decision variable of predicting IRI is ESALs in this method. The ESALs are calculated based on the predicted AADT and locally observed truck distributions combined with truck factors. The Federal Highway administration (2011) defines the distribution and truck factors for truck classes of 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.13

The SN follows the computation method developed by the 1993 AASHTO Flexible Pavement Structural Design. The actual layer thicknesses are converted to SN using a layer coefficient that represents the relative strength of the construction materials in that layer (AASHTO 1993). Additionally, all layers below the surface layer are assigned a drainage coefficient that represents the relative loss of strength in a layer due to its drainage characteristics and the total time it is exposed to near-saturation moisture conditions AASHTO 1993.

The Thornthwaite moisture index is identified as 0.07, 0.074 and 0.08 for the three environmental zones with a moisture index of 60, 80 and 100 within APC, respectively.23 The IRI0 is set between 0.7 and 1 m/km depending on the highway and coefficient a is set to 265.13

IR I t = e mt [IR I 0 +a ( 1+SNC ) 5 N E t ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaOaamysai aadkfacaWGjbWaaSbaaKqbGeaacaWG0baabeaajuaGcqGH9aqpcaWG LbWaaWbaaKqbGeqabaGaamyBaiaadshaaaqcfaOaai4waiaadMeaca WGsbGaamysamaaBaaajuaibaGaaGimaaqcfayabaGaey4kaSIaamyy amaabmaabaGaaGymaiabgUcaRiaadofacaWGobGaam4qaaGaayjkai aawMcaamaaCaaabeqcfasaaiabgkHiTiaaiwdaaaqcfaOaeyyXICTa amOtaiaadweadaWgaaqcfasaaiaadshaaeqaaKqbakaac2faaaa@54F8@                             (6)

Roughness (IRI) was rescaled to produce a 0 to 100 roughness index (PRI). Measures of rutting and linear cracking were combined to produce a surface distress index (SDI). Observed historical trends of structural strength (FWD and Dynaflect) were used to produce a structural adequacy index (SAI). These indexes were combined to produce a Pavement Condition Index.22

Linear programming of pavement management system (PMS)

Lifecycle optimization to achieve and sustain acceptable mean network condition ( Q ¯ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaOabmyuay aaraaaaa@3772@ ) at a minimum cost is used to find required levels of funding for Montreal road network (Equation 7 and 8). The maximization of total network condition under such a budget is then used to find optimal strategic results for pavement management (Equation 9 and 10). This formulation relied on a decision tree containing all possible paths of pavement condition across time, after hypothetically receiving available treatments.24 This tree is based upon a transfer function used to estimate condition (Qti) as a convex combination based on the decision variable and the effectiveness or deterioration of the specific link on time t (Equation 11).25

The objective function is to minimize cost (Z) and maximize pavement condition of the road network

[ t=1 T i=1 a ( L i Q ti ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfa4aaabCae aadaaeWbqaaiaacIcacaWGmbWaaSbaaeaacaWGPbaabeaacaWGrbWa aSbaaKqbGeaacaWG0bGaamyAaaqabaaabaGaamyAaiabg2da9iaaig daaeaacaWGHbaajuaGcqGHris5aiaacMcaaKqbGeaacaWG0bGaeyyp a0JaaGymaaqaaiaadsfaaKqbakabggHiLdaaaa@498F@ ].

MINIMIZE     Z =  t=1 T i=1 a j=1 o C tj X tij L i   MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaOaamytai aadMeacaWGobGaamysaiaad2eacaWGjbGaamOwaiaadweacaqGGaGa aeiiaiaabccacaqGGaGaaeiiaiaabQfacaqGGaGaeyypa0Jaaeiiam aaqahabaWaaabCaeaadaaeWbqaaiaadoeadaWgaaqcfasaaiaadsha caWGQbaabeaajuaGcaWGybWaaSbaaKqbGeaacaWG0bGaamyAaiaadQ gaaKqbagqaaaqcfasaaiaadQgacqGH9aqpcaaIXaaabaGaam4Baaqc faOaeyyeIuoaaKqbGeaacaWGPbGaeyypa0JaaGymaaqaaiaadggaaK qbakabggHiLdaajuaibaGaamiDaiabg2da9iaaigdaaeaacaqGubaa juaGcqGHris5aiaadYeadaWgaaqcfasaaiaadMgaaeqaaKqbakaabc caaaa@623E@                                                                                                                  (7)

Subject to:    t=1 T i=1 a L i Q ti ( Q ¯ ) i=1 a L i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaOaae4uai aabwhacaqGIbGaaeOAaiaabwgacaqGJbGaaeiDaiaabccacaqG0bGa ae4BaiaabQdacaqGGaGaaeiiaiaabccadaaeWbqaamaaqahabaGaam itamaaBaaajuaibaGaamyAaaqabaqcfaOaamyuamaaBaaajuaibaGa amiDaiaadMgaaKqbagqaaaqcfasaaiaadMgacqGH9aqpcaaIXaaaba GaamyyaaqcfaOaeyyeIuoaaKqbGeaacaWG0bGaeyypa0JaaGymaaqa aiaadsfaaKqbakabggHiLdGaeyyzIm7aaeWaaeaacaaMb8Uabmyuay aaraaacaGLOaGaayzkaaWaaabCaeaacaWGmbWaaSbaaKqbGeaacaWG PbaabeaaaeaacaWGPbGaeyypa0JaaGymaaqaaiaadggaaKqbakabgg HiLdaaaa@6367@                                                                                                                        (8)

MAXIMIZE     t=1 T i=1 a ( L i Q ti ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaOaamytai aadgeacaWGybGaamysaiaad2eacaWGjbGaamOwaiaadweacaqGGaGa aeiiaiaabccacaqGGaWaaabCaeaadaaeWbqaaiaacIcacaWGmbWaaS baaKqbGeaacaWGPbaabeaajuaGcaWGrbWaaSbaaKqbGeaacaWG0bGa amyAaaqabaaabaGaamyAaiabg2da9iaaigdaaeaacaWGHbaajuaGcq GHris5aiaacMcaaKqbGeaacaWG0bGaeyypa0JaaGymaaqaaiaadsfa aKqbakabggHiLdaaaa@5363@          (9)

Subject to:     Z =  t=1 T i=1 a j=1 k C tj X tij L i   B t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfaOaam4uai aabwhacaqGIbGaaeOAaiaabwgacaqGJbGaaeiDaiaabccacaqG0bGa ae4BaiaabQdacaqGGaGaaeiiaiaabccacaqGGaGaaeiiaiaabQfaca qGGaGaeyypa0JaaeiiamaaqahabaWaaabCaeaadaaeWbqaaiaadoea daWgaaqaaiaadshacaWGQbaabeaacaWGybWaaSbaaeaacaWG0bGaam yAaiaadQgaaeqaaaqaaiaadQgacqGH9aqpcaaIXaaabaGaam4AaaGa eyyeIuoaaeaacaWGPbGaeyypa0JaaGymaaqaaiaadggaaiabggHiLd aabaGaamiDaiabg2da9iaaigdaaeaacaqGubaacqGHris5aiaadYea daWgaaqaaiaadMgaaeqaaiaabccacqGHKjYOcaqGcbWaaSbaaeaaca qG0baabeaaaaa@648A@           (10)

j J ti X tij 1 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqcfa4aaabuae aacaWGybWaaSbaaKqbGeaacaWG0bGaamyAaiaadQgaaeqaaiabgsMi JkaaigdaaeaacaWGQbGaeyicI4SaamOsaKqbaoaaBaaajuaibaGaam iDaiaadMgaaeqaaaqcfayabiabggHiLdaaaa@4595@  0 ≤ Qti ≤ 100 and  {for all times t and for each asset i}

Qtij = Xtij (Q(t-1)ij + Eij)+ (1-Xtij) (Q (t-1)ij + Dit)                                                                               (11)

Where Xtij is 1 if treatment j is applied on road segment i at year t, zero otherwise; Qti is condition Index for road segment i at year t; Qtij is condition Index of road segment i at year t for treatment j; Q(t-1)ij is condition Index of road segment i at year (t-1)for treatment j; Ctj is cost ($) of treatment j at year t; Li is length of road (km) for road segment i; Eij is improvement (+) on road segment i from treatment j, Dit is deterioration (-) on road segment i at time t, Bt is budget at year t.

Pavement maintenance and rehabilitation activities, applied on the highways during the 30 years, have been presented in Table 1.12

Treatment

Operational Window

Crack-sealing

IRI <= 1.13 and Crack1>= 90

Micro-surfacing (max. of 2 consecutive)

Crack>= 80 and rutting2<= 10%

Minor Rehab (e.g. thin overlay)

Arterial: IRI <= 2 and PSDI3>= 65

Major Rehabilitation

Arterial: IRI <= 2.5 and PSDI >=50

Reconstruction

IRI >= 2.0 SAI4<= 65

Table 1 Treatment and Operational Windows Used in Network-level Trade-off Analysis

Note: 1CRACK = % of surface without cracks, 2rutting = % of surface with rutting, 3PSDI = pavement distress index and 4SAI = structural adequacy index

GHGs emissions from pavement maintenance and rehabilitation activities

The GHGs emissions from pavement treatments per unit area of pavement surface were calculated based on the standard developed by Chappat & Bilal,26 Chehovits & Galehouse27 and Dorchies.28 Dorchies28 applied the GHGs emissions standard on highway 40 in Montreal (from the interchange at Côte de Liesse to St-Charles Boulevard), which was completely reconstructed during the period of 2003-2006. This part of the highway 40 is one of the busiest highways in Quebec with a designed value of 200 million ESALs for a 30 years life span.

These researchers29,30 determined the pavement structure and the associated maintenance scenarios based on the French administration LCPC-SETRA design method (LCPC- SETRA 1994). The LCPC-SETRA design method used a maintenance schedule such as a new layer of HMA (hot mix asphalt concrete) every 8 to 12 years on flexible pavement, a surface overlay after 15 years, and a partial reconstruction or reinforcement overlay after 28 years on rigid pavements.23 The elasticity modulus for the road bed and granular sub grade of the pavement structure was considered as 50 MPa and 100 MPa, respectively.

These researchers collected environmental analysis data for bitumen from Eurobitume, and for cement and steel from the Athena Sustainable Materials Institute.31,32 These studies also considered different average distances for manufacturing one metric ton of HMA. For example, they estimated an average distance of 150 km between the refinery for bitumen production and the mixing plant, 150km between the cement plant and the concrete plant, 800 km between the steel factory and the site, 5km between the aggregate quarry and the manufacturing site, and 50km between the manufacturing site and the construction site.8,23

Interprovincial trade flow and freight traffic modeling

The total demand (Equation 1) and production (Equation 2) of the five selected provinces for the period of 2012-2041 were predicted based on the interprovincial trade flow data (1986-1996) collected from the Institut de la Statistique Quebec (Figure 1). Since the study is mainly concerned with the truck trade flow, the truck share of the interprovincial trade flow was incorporated during the calculation.

Figure 1 Total demand and production of five provinces during 2012-2041.

Figure 1 reveals that the predicted production and demand of goods and services in New Brunswick is the same during the period of 2012-2041. In Nova Scotia, the total demand is decreasing while total production is increasing (increasing at an increasing rate until 2030 and then increasing at a decreasing rate) and demand is far lower than production during the same period. In Newfoundland and Labrador, the total demand exceeds total production during the estimation period. Production in Newfoundland and Labrador is exponentially increasing, while demand is linearly increasing. In Quebec, the total production is far higher than total demand and increasing at a higher rate than that of demand during the design period. In Prince Edward Island, the total demand is increasing at a higher rate than that of production.

Data analysis

Integration of spatial input-output and transportation modeling

Freight traffic was simulated using TRANUS, which calculated that trucks would travel 334.722 million truck-km per year. For this interprovincial trade flow, the total operating cost and energy consumption per year will be CAD 2,579.63 million and CAD 91.69 million respectively.

The Annual Average Daily Truck Traffic (AADTT) for interprovincial trade flow was estimated as 2397 for highway 1, 8008 for highway 2, 934 for highway 7, 599 for highway 15, 569 for highway 16, 226 for highway 102, and 183 for highway 104 (Figure 2). This reveals that the major impacts of the AADTT on these selected highways are contributed by truck flows for interprovincial trade among the selected five provinces (Figure 2).

Figure 2 Annual Average Daily Traffic (AADT) of all vehicles, trucks and interprovincial trucks.

Pavement performance and maintenance modeling

Accumulated traffic loading in equivalent single axle loads (NEt) was calculated (Table 2) based on the predicted number of trucks per year (AADTT) (Figure 3) and locally observed truck distributions combined with truck factors of (0.45, 1.18, 3.25, 0.99, 2.33, 5.91, 4.7) for truck classes 5, 6, 7, 8, 9, 10 and 13 according to the Federal Highway administration classification (FHWA 2011). Finally, cumulative equivalent single axle loads for the predicted truck traffic during the period of 2012-2041 was calculated and plotted in Figure 4.

Figure 3 Cumulative Equivalent Single Axle Loads on selected routes.

Figure 4 Cumulative International Roughness Index for moisture index of 60, 80 and 100.

Truck category (FHWA)

% Trucks

Truck Factor

Route

Route

Route

Route

Route

Route

Route

1

2

7

15

16

102

104

5

8.2

0.45

12385

41370

4825

3092

2940

1169

943

6

5.7

1.18

22574

75409

8794

5637

5359

2132

1719

7

0.4

3.25

4363

14575

1700

1089

1036

412

332

8

2.7

0.99

8971

29968

3495

2240

2130

847

683

9

52.6

2.33

411341

1374059

160247

102710

97644

38843

31331

10

28.6

5.91

567302

1895035

221005

141653

134666

53571

43210

13

1.8

4.7

28394

94849

11062

7090

6740

2681

2163

ESALs per year

1055331

3525266

411129

263511

250514

99656

80382

Table 2 Predicted ESALs per year for New Brunswick regional highways1

Deterioration curves (IRI) (Equation 5, Figure 4), based on the predicted amount of traffic loads (ESALs per year), were developed for the pavement management system following those proposed by Paterson & Attoh-Okine31 and previously applied in New Brunswick by Amador-Jiménez & Mrawira.32 The IRI of the selected highways was calculated for different environmental zones since those highways are within environmental zones for different moisture indices (Highway 1 with 100 and 80 moisture index; Highway 2 and 7 with 100, 80 and 60 moisture index; Highway 15 with 80 and 60 moisture index; Highway 16 with 60 moisture index; Highway 102 with 100 moisture index; and Highway 104 with 80 moisture index).33

Table 3 explains the details regarding the links of the selected routes requiring different types of pavement treatments during the design period. Treatment years represent the years of pavement maintenance carried, while control section implies the number of links of each route that required pavement treatments during different time periods. Table 3reveals that single chip sealing will be required for 7,074 km of Highway 1,1253 km for Highway 2, 2246 km for Highway 7, 2985 km for Highway 15, 1.44 km for Highway 16, 3.68 km for Highway 102, and 1698 km for Highway 104. Double chip sealing will be required for 246 km of Highway 1, 14.9 km for Highway 2, 1689 km for Highway 7, 0.56 km for Highway 15, and 1.48 km for Highway 16.

Route

One Cheap Seal

Double Cheap Seal

Micro Surfacing

Minor Rehab.

Major Rehab.

Reconstruction

1

Total Length (Km)

7073.7

246

18.68

11.48

168

5.44

Treatment year

1,2,3,4,5,

2,3

1,2,3,4,

1,2,3,

3

4,6

6,7,8,9,10

5,8,9,10

9,10

Control section

12570

2116

1410

428

478

294

2

Total Length (Km)

1253.16

14.9

164.8

100.06

113.8

50.26

Treatment year

1,2,3,4,5,

2,3

1,2,3,4,5,

1,2,3,4,5,

3,4,5,6,

4,5,

6,7,8,9,10

6,7,8,9,10

7,8,9,10

7,8,10

6,7

Control section

6814

1660

5908

2590

2734

1112

7

Total Length (Km)

2246.26

1689.06

27.28

32.8

3.84

3.2

Treatment year

5,6,7,

3

1,2,4,5,

2,8,

3,5

6

9,10

6,8

9,10

Control section

466

34

912

718

230

8

15

Total Length (Km)

2985.06

0.56

100.14

58.24

4.36

5.1

Treatment year

5,7,8,

3

1,2,3,4,6,

1,2,3,

3,8

4,6

9,10

7,8,9,10

5,9,10

Control section

542

10

2384

1384

22

208

16

Total Length (Km)

1.44

1.48

2.64

5.18

6.96

14.48

Treatment year

5,7,8

3

4,6,8

3

3,5

4

Control section

14

10

42

410

10

6

102

Total Length (Km)

3.68

121.22

126.76

1.8

5.8

Treatment year

4,5,6

1,2,3,4,5,

1,2,7,

3,4

5

6,7,8,9,10

8,9,10

Control section

46

436

392

84

28

104

Total Length (Km)

1697.8

80.48

48.78

5.34

Treatment year

10

2,3,4,6,

1,3,4,

7

7,8,9

9,10

Control section

20

180

114

6

Table 3 Pavement surface treatments of links of selected routes

Micro-surfacing pavement treatment will be required for 18.68 km of Highway 1, 164.8 km for Highway 2, 27.28 km for Highway 7, 100.14 km for Highway 15, 2.64 km for Highway 16, 121.22 km for Highway 102, and 80.48 km for Highway 104 (Table 3). Minor rehabilitation (hot in-place recycling, HIR) will be required for 11.48 km of Highway 1, 100.06 km for Highway 2, 32.8 km for Highway 7, 58.24 km for Highway 15, 5.18 km for Highway 16, 126.76 km for Highway 102, and 48.78 km for Highway 104. Major rehabilitation will be required for 168 km of Highway 1, 113.8 km for Highway 2, 3.84 km for Highway 7, 4.36 km for Highway 15, 6.96 km for Highway 16, 1.8 km for Highway 102, and 5.34 km for Highway 104 (Table 3). Reconstruction will be required for 5.44 km of Highway 1, 50.26 km for Highway 2, 3.2 km for Highway 7, 5.1 km for Highway 15, 14.48 km for Highway 16, and 5.8 km for Highway 102 (Table 3).

The carbon footprint of forecasted freight traffic and traffic induced pavement maintenances

To calculate the ‘carbon footprint’, this study estimated CO2 emissions from the fuel consumption by the anticipated truck movement and carbon dioxide equivalent (CO2e) GHGs emissions from pavement maintenance activities due to the interprovincial trade flow during a period of 30 years. This study calculated 4.19 million gallons of fuel consumption per year due to the interprovincial truck movement on the selected highways, of which 2.6 million gallons fuel will be consumed on Highway 2, 0.78 million gallon on Highway 1, 0.3 million gallon on Highway 7, 0.19 million gallon on Highway 15, 0.18 million gallon on Highway 16, 0.07 million gallon on Highway 102 and 0.06 million gallon on Highway 104. This study estimated the total fuel consumption assuming that the average mileage of diesel-driven truck was 6 miles per gallon. During the period of 30 years (2012-2041), 125.61 million gallons of fuel will be consumed for this interprovincial truck flow among New Brunswick, Nova Scotia, Newfoundland and Labrador, Quebec, and Prince Edward Island, which will be valued at CAD 2750.96 million. In addition, per year CO2emissions will be 42625.28metric tons for the predicted interprovincial truck movement, which will be equal to 1.279 million metric tons of CO2 emission during the projected 30 years. This study adopted that the CO2emission from diesel-driven freight transport was 10.18 grams per gallon.34

This study then estimated the GHGs emissions from the pavement maintenance operations. The main GHGs in the field of pavement treatment are CO2, nitrous oxide and methane.23 Since the contribution of these gases is not the same, their 100-year ‘Greenhouse Warming Potential (GWP) (1 for CO2, 310 for nitrous oxide and 21 for methane) was expressed as a CO2e (IPCC 2007). The CO2e of GHGs emissions from the selected pavement treatments (chip seal, micro-surfacing, Minor rehabilitation, major rehabilitation and reconstruction) was calculated in Table 4.

Treatment

Details

Route 1

Route 2

Route 7

Route 15

Route 16

Route 02

Route 104

Chip seal

Emulsion (2.0 L/m2), aggregate 21 kg/m2

389054

68924

123544

164178

79

202

93379

 

Emulsion (1.6 L/m2), aggregate 15 kg/m2

311243

55139

98835

131343

63

162

74703

Micro-surfacing

Type III (12% emulsion) (13 kg/m2)

616

5438

900

3305

87

4000

2656

 

Type II (14% emulsion) (8.7 kg/m2)

411

3626

600

2203

58

2667

1771

Double Chip seal (two layer)

Emulsion (4.0 L/m2), aggregate 42 kg/m2

4928

1639

185797

62

163

0

0

 

Emulsion (3.2 L/m2), aggregate 30 kg/m2

3942

1311

148637

49

130

0

0

Minor Rehab./ hot in-place recycling (HIR)

Thickness 3.8cm (50/50 recycle/new)

4800

41825

13710

24344

2165

52986

20390

 

Thickness 5.0cm (50/50 recycle/new)

6188

53932

17679

31391

2792

68324

26292

Major Rehab. (hot mix asphalt)

100mm overlay

208824

141453

4773

5420

8651

2237

6638

 

75mm overlay

157080

106403

3590

4077

6508

1683

4993

Recons-truction

100mm HMA overlay, 150mm aggregate base

7839

72425

4611

7349

20866

8358

0

Table 4 CO2e GHGs emissions (metric tons) for different pavement treatments required for selected routes

The total CO2e GHGs emissions from single chip sealing of the pavement surface will be 671,488.4 to 839,360.5 metric tons for 15,261 km of selected highways depending on the amount of emulsion (2 liter/m2 or 1.6 liter/m2) and aggregate (21 kg/m2 or 15 kg/m2) used in the chip sealing. For double chip sealing of the pavement surfaces, the total CO2e GHGs emissions will be 154,070.4 to 192,588 metric tons since the length of pavement requiring double chip sealing treatment will be 1952 km during the period of 30 years. CO2e GHGs emissions from micro-surfacing of pavement surface may vary based on the type of micro-surfacing. Type III (12% emulsion, 13 kg/m2) micro-surfacing of 515.24 km pavement surface will emit 17,002.92 metric tons CO2e GHGs in the atmosphere, which will be 11335.28 metric tons for Type II (14% emulsion, 8.7 kg/m2) micro-surfacing of the same pavement surface (Table 4).

The total CO2e GHGs emissions from Hot In-place Recycling (HIR) of the pavement surface will be 160,219.4 to 206,598.7 metric tons for 383.3 km pavement depending on the Thickness 3.8-5.0cm (50/50 recycle/new) of the HIR. For 100 mm or 75 mm Hot Mix Asphalt overlay of 304.1 km pavement surface, a total of 284,333.5 metric tons or 377,996.3 metric tons of CO2e GHGs will be emitted in the atmosphere during the period of 30 years (Table 4). A total 84.28 km of pavement surface will require reconstruction (100mm Hot Mix Asphalt overlay, 150mm aggregate base) during the period of 2012-2041. For this reconstruction of the pavement surface, the total CO2e GHGs emissions will be 121,447.48 metric tons (Table 4). Therefore, the total CO2e GHGs emissions from different types of pavement surface treatments, due to deterioration by interprovincial truck flow, will be within the range of 1.403 million metric tons to 1.755 million metric tons depending on the type of treatments.

Conclusion

The integration of trade, transportation and environmental considerations requires a rational middle ground focusing on the environmental effects of trade and induced transportation so that trade and transportation can be part of the policy arsenal aimed at the common goal of sustainable development. The objective of this study was to integrate interprovincial trade flow induced freight movement, highway pavement maintenance, and corresponding environmental effects during the period of 2012-2041. The integration of spatial input-output and transportation modeling estimated that trucks would travel 334.722 million truck-km per year for trade flow among selected provinces during the design period. The predicted truck movement resulted in an AADTT of 2397 for highway 1, 8008 for highway 2, 934 for highway 7, 599 for highway 15, 569 for highway 16, 226 for highway 102, and 183 for highway 104.

The necessary pavement surface treatments of selected routes were determined based on the mechanistic modeling of roughness progression (International Roughness Index). During the projected period (2012-2041), 15,261.1 km of pavement will require chip sealing, while 515.24km, 1952km, 383.3km, 304.1km, and 84.28km of pavement will require micro-surfacing, double chip sealing, hot in-place recycling, major rehabilitation (hot mix asphalt), and reconstruction respectively. The fuel consumption for truck movement and pavement surface treatments will cause 2.682-3.034 million metric tons of CO2e GHGs emissions depending on the type of treatments applied on the pavement surface. These predicted environmental impacts of interprovincial trade flow should encourage the incorporation of the environmental costs within the calculation of trade flows in order to ensure sustainable regional economy.

Acknowledgements

None.

Conflict of interest

The author declares no conflict of interest.

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