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A strategic network choice model for global container flows: specification, estimation and application Lóránt Tavasszy a,, Michiel Minderhoud b,1 , Jean-François Perrin c,2 , Theo Notteboom d,3 a Delft University of Technology, Faculty of Technology, Policy and Management, Jaffalaan 5, 2628 BX Delft, The Netherlands b TNO Mobility and Logistics, P.O. Box 49, 2600 AA Delft, The Netherlands c Ile de France’s Roads Direction, Traffic Management and Technologies Service, 79 C, Avenue du Maréchal de Lattre de Tassigny, 94 002 Créteil, France d ITMMA, University of Antwerp, Keizerstraat 64, 2000 Antwerp, Belgium article info Keywords: Intermodal transport Freight Containers Global networks Port choice abstract Container flows have been booming for decades. Expectations for the 21st century are less certain due to changes in climate and energy policy, increasing congestion and increased mobility of production factors. This paper presents a strategic model for the movement of containers on a global scale in order to analyse possible shifts in future container transport demand and the impacts of transport policies thereon. The model predicts yearly container flows over the world’s shipping routes and passing through 437 con- tainer ports around the world, based on trade information to and from all countries, taking into account more than 800 maritime container liner services. The model includes import, export and transhipment flows of containers at ports, as well as hinterland flows. The model was calibrated against observed data and is able to reproduce port throughput statistics rather accurately. The paper also introduces a scenario analysis to understand the impact of future, uncertain developments in container flows on port through- put. The scenarios include the effects of slow steaming, an increase in land based shipping costs and an increased use of large scale infrastructures such as the Trans-Siberian rail line and the opening of Arctic shipping routes. These scenarios provide an indication of the uncertainty on the expected port through- puts, with a particular focus on the port of Rotterdam in the Netherlands. Ó 2011 Elsevier Ltd. All rights reserved. 1. Introduction International trade has increased rapidly during recent decades (see Fig. 1). Between 1948 and 1992, world trade grew from 57.5 billion USD to 3600 billion USD. Since the beginning of the 1960s, the share of containerized cargo in the world’s total dry car- go movements has increased significantly. The major growth poles for maritime transshipment shifted to Asia (Borrone, 2005) and contributed to a recent surge in cargo throughput in all European ports (Ruijgrok and Tavasszy, 2008) which lasted till the start of the economic crisis in late 2008. Worldwide, the growth in con- tainerisation has been facilitated by the opening up of the terminal operating industry through processes of port commercialization, corporatization and privatization (Notteboom and Winkelmans, 2001) and by massive terminal capacity extensions all over the world. The current economic crisis has initiated mounting uncertainty about future growth, signaling increasing risks of over- and under- investment in container terminal capacity. Over the long term, transport costs are expected to increase due to rising oil prices, in- creased congestion in and around ports and economic centers and public policies aimed at internalizing the external costs related to transport. These cost changes are likely to have a negative impact on trade flows and might encourage a concentration of flows on high-density container routes. At the same time the economies of the Asian and African continents, together with the Central and Eastern European countries are expected to attract an increasing share of world trade. For port and hinterland infrastructure, uncer- tainties in future flows not only originate from unknowns in the total volume that is traded worldwide but also from spatial shifts in transport chains and between ports within the same container port system. These spatial shifts may occur as hinterlands change, but also depend on the availability, user price and quality of the port and hinterland infrastructures. For example, the rail land bridge between China and Europe, the enlargement of the Panama Canal and the development of European freight corridors are ex- pected to have an influence on the spatial patterns of global freight flows. Finally, production systems and logistics services become more sophisticated, thereby contributing to increasingly complex 0966-6923/$ - see front matter Ó 2011 Elsevier Ltd. All rights reserved. doi:10.1016/j.jtrangeo.2011.05.005 Corresponding author. Tel.: +31 152782679; fax: +31 152696854. E-mail addresses: [email protected] (L. Tavasszy), Michiel.minderhoud@ tno.nl (M. Minderhoud), [email protected] (J.-F. Perrin), [email protected] (T. Notteboom). 1 Tel.: +31 152696815; fax: +31 152696854. 2 Tel.: +33 141787300; fax: +33 142071651. 3 Tel.: +32 3 265 51 49; fax: +32 3 265 51 50. Journal of Transport Geography 19 (2011) 1163–1172 Contents lists available at ScienceDirect Journal of Transport Geography journal homepage: www.elsevier.com/locate/jtrangeo

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Page 1: Journal of Transport Geography - VLIZ · Intermodal transport Freight Containers ... bridge between China and Europe, ... 1164 L. Tavasszy et al./Journal of Transport Geography 19

Journal of Transport Geography 19 (2011) 1163–1172

Contents lists available at ScienceDirect

Journal of Transport Geography

journal homepage: www.elsevier .com/ locate / j t rangeo

A strategic network choice model for global container flows: specification,estimation and application

Lóránt Tavasszy a,⇑, Michiel Minderhoud b,1, Jean-François Perrin c,2, Theo Notteboom d,3

a Delft University of Technology, Faculty of Technology, Policy and Management, Jaffalaan 5, 2628 BX Delft, The Netherlandsb TNO Mobility and Logistics, P.O. Box 49, 2600 AA Delft, The Netherlandsc Ile de France’s Roads Direction, Traffic Management and Technologies Service, 79 C, Avenue du Maréchal de Lattre de Tassigny, 94 002 Créteil, Franced ITMMA, University of Antwerp, Keizerstraat 64, 2000 Antwerp, Belgium

a r t i c l e i n f o

Keywords:Intermodal transportFreightContainersGlobal networksPort choice

0966-6923/$ - see front matter � 2011 Elsevier Ltd. Adoi:10.1016/j.jtrangeo.2011.05.005

⇑ Corresponding author. Tel.: +31 152782679; fax:E-mail addresses: [email protected] (L. Tava

tno.nl (M. Minderhoud), jean-francois.perrin@de(J.-F. Perrin), [email protected] (T. Notteboom

1 Tel.: +31 152696815; fax: +31 152696854.2 Tel.: +33 141787300; fax: +33 142071651.3 Tel.: +32 3 265 51 49; fax: +32 3 265 51 50.

a b s t r a c t

Container flows have been booming for decades. Expectations for the 21st century are less certain due tochanges in climate and energy policy, increasing congestion and increased mobility of production factors.This paper presents a strategic model for the movement of containers on a global scale in order to analysepossible shifts in future container transport demand and the impacts of transport policies thereon. Themodel predicts yearly container flows over the world’s shipping routes and passing through 437 con-tainer ports around the world, based on trade information to and from all countries, taking into accountmore than 800 maritime container liner services. The model includes import, export and transhipmentflows of containers at ports, as well as hinterland flows. The model was calibrated against observed dataand is able to reproduce port throughput statistics rather accurately. The paper also introduces a scenarioanalysis to understand the impact of future, uncertain developments in container flows on port through-put. The scenarios include the effects of slow steaming, an increase in land based shipping costs and anincreased use of large scale infrastructures such as the Trans-Siberian rail line and the opening of Arcticshipping routes. These scenarios provide an indication of the uncertainty on the expected port through-puts, with a particular focus on the port of Rotterdam in the Netherlands.

� 2011 Elsevier Ltd. All rights reserved.

1. Introduction

International trade has increased rapidly during recent decades(see Fig. 1). Between 1948 and 1992, world trade grew from 57.5billion USD to 3600 billion USD. Since the beginning of the1960s, the share of containerized cargo in the world’s total dry car-go movements has increased significantly. The major growth polesfor maritime transshipment shifted to Asia (Borrone, 2005) andcontributed to a recent surge in cargo throughput in all Europeanports (Ruijgrok and Tavasszy, 2008) which lasted till the start ofthe economic crisis in late 2008. Worldwide, the growth in con-tainerisation has been facilitated by the opening up of the terminaloperating industry through processes of port commercialization,corporatization and privatization (Notteboom and Winkelmans,2001) and by massive terminal capacity extensions all over theworld.

ll rights reserved.

+31 152696854.sszy), [email protected]).

The current economic crisis has initiated mounting uncertaintyabout future growth, signaling increasing risks of over- and under-investment in container terminal capacity. Over the long term,transport costs are expected to increase due to rising oil prices, in-creased congestion in and around ports and economic centers andpublic policies aimed at internalizing the external costs related totransport. These cost changes are likely to have a negative impacton trade flows and might encourage a concentration of flows onhigh-density container routes. At the same time the economies ofthe Asian and African continents, together with the Central andEastern European countries are expected to attract an increasingshare of world trade. For port and hinterland infrastructure, uncer-tainties in future flows not only originate from unknowns in thetotal volume that is traded worldwide but also from spatial shiftsin transport chains and between ports within the same containerport system. These spatial shifts may occur as hinterlands change,but also depend on the availability, user price and quality of theport and hinterland infrastructures. For example, the rail landbridge between China and Europe, the enlargement of the PanamaCanal and the development of European freight corridors are ex-pected to have an influence on the spatial patterns of global freightflows. Finally, production systems and logistics services becomemore sophisticated, thereby contributing to increasingly complex

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Seaborne Trade (billions of tons of goods loaded) - left axis

Exports of Goods (trillions of current USD) - left axis

World Port Throughput (in million TEU) - right axis

Fig. 1. Comparison of the evolution of container port throughput, seaborne trade and world exports. Source: own compilation based on Containerisation International andUnited Nations, Review of Maritime Transport.

1164 L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172

logistics networks that are spatially re-organized at a worldwidescale (Tavasszy et al., 2003; Notteboom and Rodrigue, 2008). Tobetter cope with these uncertainties, a model-based analysis isneeded to inform policy makers about future freight flows underdifferent scenarios.

The objective of this paper, therefore, is to develop a worldwidefreight model that analyzes freight transport chains over long dis-tances, chains that span large parts of the world where routingalternatives may lead over different continents. The challenge isto test whether this simplified model can be made consistent bothwith basic principles of shipper and carrier behavior, confirmed byin-depth research on the one hand, and with publically availabledata on worldwide freight trade and transport on the other. Withthese capabilities, a worldwide container model is a basis foranswering strategic policy questions, such as the impact of in-creased transport costs or the impact of new sea or land routesbecoming available.

In the next three sections of the paper we describe the mathe-matical formulation of the model and the data used to build themodel (Section 2), the estimation approach and results (Section3) and some applications on policy questions at the global level(Section 4). We conclude the paper in Section 5 with a brief sum-mary of the results and some recommendations for furtherresearch.

2. Model specification and data

2.1. A brief literature review on port selection and cargo routingthrough ports

Academic literature on port choice identifies a multitude of ser-vice-related and cost factors that influence the decisions made byshipping lines and shippers. These factors relate primarily to portinfrastructure, the accessibility over land and via the sea, the geo-graphical location vis-à-vis the immediate and extended hinter-land and the main shipping lanes (centrality and intermediacy),port efficiency, port connectivity, reliability, capacity, frequencyand costs of inland transport services, quality and costs of auxiliaryservices (such as pilotage, towage, customs, etc.), efficiency and

costs of port management and administration (e.g. port dues),the availability, quality and costs of logistic value-added activities(e.g. warehousing) and the availability, quality and costs of portcommunity systems, see e.g. Murphy et al. (1992), Murphy andDaley (1994), Malchow and Kanafani (2001), Tiwari et al. (2003),Nir et al. (2003), Song and Yeo (2004), Lirn et al. (2004) and Guyand Urli (2006).

Most quantitative research on port selection (see e.g. Tongzon,2009; De Langen, 2007; Malchow and Kanafani, 2004) uses disaggre-gate behavioral analysis, which limits the geographical scope ofapplication of models, due to the high costs of data acquisition in-volved. Aggregate models could in principle be applied at a global le-vel, if the specification of the model is such that data needs do notbecome prohibitive. Transportation literature presents a limitednumber of aggregate models for the routing of seaborne freight(Tang et al., 2008; Giannopoulos et al., 2007; Leachman, 2006; Aver-sa et al., 2005; Frémont, 2005; Veldman and Buckman, 2003). Noneof these, however, have been shown to be operable or valid at a globalscale and suffer from additional shortcomings, such as:

� A lack of route assignment using actual container liner servicenetworks as offered by international seaborne carriers: modelsusing a link and node based network do not allow service linesto be distinguished and assume that link performance is inde-pendent of the membership of such a link of service lines.� An absence of elements describing aggregate choice behavior

of shippers and preferences related to the generalized costsof freight and the value of time of goods. Here, again, modelssuffer from one or more shortcomings. Routing models aredeterministic (applying all-or-nothing techniques) withoutaccounting for heterogeneity in choices, do not include thevalue of time going beyond time as a factor cost (see Blauwensand Van de Voorde, 1988) or are not estimated to replicateobserved flows.� A problematic model specification is one where port attractive-

ness depends directly on port throughput (and vice versa). Thisis the case in the Veldman model (Veldman and Buckman,2003), where port attractiveness is found to be a significant fac-tor in explaining port choice, and later regressed against trans-shipment volume, the reasoning in the model becomes circular.

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L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172 1165

� Assuming stochastic independence between alternative routes,implicitly, by using the basic multinomial logit approach to dis-crete choice modeling. Due to this assumption of independencebetween routes, choices will be heavily biased towards groupsof routes that overlap, unless the choice model is adapted foruse in a network situation. All specifications cited above, includ-ing the disaggregate logit based models, suffer from thisproblem.

The limitations of our model for the purpose of strategic fore-casting of worldwide container flows are twofold. Firstly, we as-sume that congestion does not significantly affect the routing offreight flows. Short-term congestion can be caused by cycles/sea-sonality in the traffic volumes or temporary situations such asstrikes or bad weather conditions. Structural congestion is causedby a chronic underinvestment in ports and terminals. High portcongestion levels enhance terminal developments in the affectedports. If such developments are impeded by environmental andland availability issues, congestion can lead to the emergence ofnew container terminal facilities in the vicinity of established butcongested load centers as described in ‘challenge of the periphery’phase in port system development (see also (Hayuth, 1981; Slackand Wang, 2002; Notteboom, 2005 and Frémont and Soppé,2007). In some cases, new ports emerge far away from existing(congested) ports in combination with the development of newcorridors to serve the hinterland market (e.g. Prince Rupert in Can-ada as a new gateway port on the West Coast of North America faraway from existing gateways). However, given that many ports’capacity extensions are above the mean growth scenarios, partlyas a result of the economic crisis of 2008/2009, we simplify ourmodel by assuming that congestion levels are too small to signifi-cantly affect medium term forecasts on the routing of goodsthrough port systems. For long-term scenarios (e.g. 2040) conges-tion is expected to influence the use of shipping routes and wewould recommend extension of the model. Such an extensionwould require a major modeling effort, as aggregated congestionfunctions for port complexes are not available and would need tobe developed anew. Challenges in this process include data acqui-sition and data aggregation; their detailed treatment is beyond thescope of our paper. The degree to which congestion affects flows inthe base year will implicitly be included in the model, as the esti-mated parameters include a representation of the shadow price ofcongestion, as experienced in the base year. We recommend thatfuture expected congestion levels are entered into the model exog-enously by increasing the transshipment times, according to cur-rent practice in other aggregate models.

Secondly, our model is limited to routing issues and does not in-clude impacts on trade itself. Again, for medium-term forecasts webelieve this is not problematic. For long-term forecasts, especiallyif we want to look at major shifts in overall transport costs (e.g.resulting in a doubling of trade costs), integration with a globaltrade model would be desirable.

In the remainder of this section we describe the choice model indetail, in particular the choice criteria used, the behavioralassumptions behind the model and its mathematical specification.

2.2. Choice criteria and choice function

The choice of shipping route for unitised goods is a complexprocess involving many attributes of different actors and services.Port selection factors typically relate to the geographical locationof origins and destinations of freight, the costs of transport (inlandand overseas), the forwarding organization’s preferences (e.g. mer-chant or carrier haulage), the logistics characteristics of the goods(e.g. perishability, sensitivity and unit value), the available facilitiesand services (e.g. ports and inland infrastructure) and the decision

agent’s characteristics and strategies (forwarders, shippers or ship-ping lines).

Academic literature on port selection factors is abundant (seeearlier section and Magala and Sammons (2008) for a recent liter-ature review). Our intention is not so much to study these factors,but rather to apply the existing insights at an aggregated level. Forstrategic forecasting and planning purposes with a long-term focuson worldwide developments, it is neither necessary nor possible totake all factors into account. Instead, we are looking for an aggre-gate description of the system, capturing the main flows and rep-licating the behavior of groups of actors, for forecasts ofworldwide container flows and port throughput for the next 10–20 years.

We assume that route choices are made by profit maximizingshippers who have knowledge of the main routing alternativesover land and sea, for goods traded between two countries. The ba-sis for the route choice model is a simple logit route choice modelusing path enumeration (Fiorenzo-Catalano, 2007) where choiceprobabilities depend on the route specific generalized costs:

Pr ¼e�lCrP

h2CSe�lChð1Þ

where Pr, the choice probability of route r; C, generalized costs; CS,the choice set; h, path indicator; l, logit scale parameter.

As the logit model assumes stochastic independence of alterna-tives (due to the assumption of independent error terms), theapplication of the model for networks with overlapping routes isproblematic. When applied for route choice problems, the shareof routes that are part of a bundle, i.e. those routes that overlap willbe overestimated (see e.g. Hoogendoorn-Lanser et al., 2005).Therefore the basic logit model was extended to a path size logitmodel (see e.g. Cascetta et al., 1996 and Ben-Akiva and Bierlaire,1999):

Pr ¼e�lðCrþln SrÞP

h2CSe�lðChþln ShÞð2Þ

With the path size overlap variable defined as

Sr ¼Xa2Cr

za

zr

� �1

Nah

where a, link in route r; Sr, degree of path overlap; Cr, set of links inroute r; za, length of link a; zr, length of route r, Nah, number of timeslink a is found in alternative routes.

The generalized cost function is given by the followingequation:

Cr ¼Xp2r

Ap þXl2r

cl þ a �Xp2r

Tp þXl2r

tl

!ð3Þ

where Cr, costs of route r; p, ports used by the route; l, links used bythe route; Ap, total cost of transhipment at port p; cl, total cost oftransportation over link l; Tp, time spent during transhipment atport p; tl, time spent during transportation over link l; a, value oftransport time (USD/day/ton).

Note that the mode of transport (sea or land modes) is embed-ded in the network attributes and does not appear in the cost for-mula. This mode-abstract formulation allows to use a moredetailed underlying multimodal network; the aggregate result willbe a level of service expressed in times and costs. The value of theattractiveness parameter Ap and the scaling parameter l are un-known and need to be estimated. The scaling parameter l capturesthe phenomenon that, although individual shippers and carriersmay decide to use one port or another, their aggregate behaviorresults in the use of more than one alternative route and that theirjoint response to policies is a smooth one. The parameter Ap

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1166 L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172

includes all relevant, measurable and hidden service characteris-tics of ports, such as fuel costs, handling costs, congestion costs,etc. The use of such a parameter as an alternative specific constantis not uncommon in transport modelling. In order to allow thisparameter to be estimated, we made sure that:

– The model is not too rich in parameters relative to the dataavailable for estimation. This was done by keeping the numberof parameters limited to one constant per port.

– We did not introduce circular relations, by keeping this costparameter exogeneous and not allowing it to be a function ofvolume.

– Parameters would not fully overlap in the estimation withobserved cost attributes of the same alternatives (which wouldrenders these observations useless).

Port costs (e.g. port dues and terminal costs) are not includedexplicitly in the model specification, as it is included in parameterAp. There are two main considerations behind this choice. First ofall, it is difficult if not impossible to obtain suitable aggregate aver-ages for these costs, given the difficulty to observe the ratescharged in – often complex or even confidential – arrangementsbetween ports and carriers and the lack of insight in the exact com-position of freight flows and ship types, needed to construct suchaverages. One of the discussions in this field relates to the questionwhether the port–specific terminal handling charges (THC), a sur-charge fee which shippers pay to the shipping lines, are a goodproxy for the real terminal costs incurred by shipping lines callingat a port (see also Dynamar, 2003). Secondly, port choice literaturedoes not offer convincing evidence that cargo handling costs as apart of port costs play an equally important role as transport costs.Some studies even point in the opposite direction (Malchow andKanafani, 2001).

The value of time parameter denotes the average preference ofdecision makers for either faster (and thus more expensive) orcheaper (and thus slower) transport options. It summarizes allthe characteristics of the goods, e.g. perishability and value, andthe logistics environment in which the goods transport takes place(e.g. time window for delivery) into one parameter. Even in a net-work such as used here, with carriers offering similar services interms of the time/cost trade-off, this parameter is of importance

O

S

Fig. 2. Example of routes betw

to distribute freight between ports that involve shorter and longerhinterland legs. A higher value of time may lead to an earlier portcall in the network, with a relatively long inland haul left thanotherwise.

2.3. Choice set generation

The choice set routes are determined by a shortest path algo-rithm for each port-port segment of the service, in the port-call or-der specified in the published service tables of container shippinglines worldwide. Given the physical network and the networks ofservices, choice sets are generated for every O/D pair. A route be-tween an origin country O and destination country D, starting atan origin port S and a destination port E is defined by one or moremaritime services between S and E, with intermediate tranship-ment at ports where a change of service can be carried out. Foreach (outgoing) port S to the (incoming) port E the shortest pathis added to the choice set of this combination O–S–E–D (see Fig. 2).

2.4. Assignment

Each country has a fixed number of ports which may be used forimport or export of containers, and may include ports located inneighboring countries. When the different possible routes are gen-erated (equal to the number of accessible ports at origin countrymultiplied by the number of accessible ports at destination coun-try), the logit route choice probabilities are calculated for the alter-natives within the choice set and applied directly on the O/D flowfor the distribution over the alternative ports and links in thenetwork.

2.5. Data

2.5.1. Origin/destination matrixThe input data for the model on freight flows were obtained

from three sources: international trade statistics and two Europeanstatistics sources to allow conversion into containers. The Com-trade database of exchanges between countries in the world, mea-sured in USD and tonnes provides the basis for the model. As theflows in tonnes need to be converted in containers (in 20 FootEquivalent Units – TEUs), the Eurostat database was used

Country centroid

Port node

Hinterland link

Maritime link

Maritime node

D

E

een an OD-country pair.

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Table 1Description of the databases used as input.

Database 1 Database 2 Database 3

Source Comtrade Eurostat EurostatArea World Europe-world Europe-

worldType Trade Trade MaritimeUnits Tonne,

USDTonne, unitised tonnes,TEU

TEU

Goodsclassification

Yes Yes No

Empties included No No Yes

L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172 1167

(Eurostat, 2007). The area coverage is less complete than the tradedatabase, as it covers only transports between Europe and the restof the world, but information on the exchanges is available in ton-nes, unitised tonnes and TEUs. This database allows to calculate ra-tios of unitisation (total cargo tonnes potentially unitised divided bythe total cargo tonnes) and ratios of density (unitised tonnes di-vided by TEU). These two ratios were calculated per type of goodsand OD pair. The ratios were applied to the trade database. In casesome ratios were lacking, the averaged ratio per OD and/or type ofgoods were used. In order to include empty containers in the inputdata, another database of Eurostat was used which made it possi-ble to extract the number of empty and full TEU for each OD-pair. Areturn percentage of empty containers could thus be obtained. Asbefore, the percentage was applied per OD-pair and type of goods.Table 1 provides an overview of the data used and their spatial andfunctional coverage.

2.5.2. The transport networkThe network description includes the physical network and the

network of maritime and inland transport services. The model

Fig. 4. Maritime network with countr

Inland transport link

Deep sea line

Short sea line

Transshipment links

Port node

Fig. 3. Representation of the multimodal network as supernetwork.

predicts the routing of container flows between an origin and des-tination country, using weekly container liner service routes asprovided by container shipping lines. More than 800 maritime ser-vices involving 437 ports were included in the database throughthe use of public sources such as published liner schedules andtransport fee schemes. We applied a super-network approach fornetwork coding (see Sheffi, 1985). Supernetworks are networksthat allow a simultaneous choice of mode of transport and route,including transhipment points (see Fig. 3).

A maritime network was created using country nodes (origin/destination centroids), port nodes and maritime nodes. Maritimelinks were created between the maritime nodes. A shortest pathalgorithm based on distance was used to identify the routes takenby the different container liner services between the ports in themaritime network, given the order of port callings in the liner ser-vice. Note that this does not yet include the assignment of freightflows to these alternative routes. Fig. 4 shows the maritime net-works used.

The origin/destination tables of transport flows, as presentedabove, include flows that have inland shipping alternatives as well.Therefore these alternatives needed to be identified and added tothe list of shipping alternatives for each O/D pair. A simplified in-land network of links was created in order to capture containerflows between neighboring countries that may use inland routeswithout using a port. We applied a number of simplifications. Firstof all, the network is connected to every country of origin or desti-nation by one single centroid. Hereby we assume that this locationcaptures the weighted average location of all freight moving to, orfrom the country. Second, the main network attributes are timesand costs for transhipment and transportation. Average levels ofshipping costs and speeds (for the services without enough infor-mation) are the same over the whole network, without making adistinction between alternative modes of transport. For the pur-pose of our model, this assumption is not problematic as differ-ences between shipping rates per unit of distance will be limitedon competing routes. The speeds and tariffs used in the modelare presented in Table 2.

3. Estimation of the model

As described above, the port-specific parameter Ap was intro-duced for calibration purposes as an overall parameter for all costfactors. The observed levels of inland transport costs allow for anormalization of the cost levels of this parameter to real cost levels.By making modifications of this value and the scale parameter l,the distance between observed and calculated flows is minimizedby means of an iterative process. Transhipment and transport

y access links to and from ports.

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Table 2Description of the characteristics of the services used.

Maritime Inland

Speed (km/day) Calculateda 1000Tariff (USD/km/TEU) 0.025 0.57b

a Calculated separately for each service or a default value of 1000 km/day.b Mean, actual depending on continent.

1168 L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172

times and costs were taken from published timetables. The distri-bution of values of time for freight was inferred from an earlierstudy on international maritime shipments (Tavasszy, 1996) witha global average value near 100 USD per TEU per day. Note thatthe route choice sets needed to be generated at each iteration stepin the calibration process. As the routes are created with a shortestpath algorithm based on generalized costs (in order to be able totake transhipment into account), we had to regenerate them whencosts are modified. For the purpose of model calibration, theassignment was done by OD pair and no distinction was made be-tween types of goods.

Using a simple Newton-based greedy search method, the modelconverged quickly and resulted in an excellent fit with availableobservations. Container throughput data were available for aboutone hundred ports worldwide, and for these ports the model is ableto explain over 96% of the amount of variation between ports’throughput volumes. The sum of the absolute differences for allthe ports divided by the total flow is below 10%. The ports withthe highest difference between observed and predicted flows arethe Asian ones, probably because of the lack of geographical de-tailed input OD flows.

We obtained an optimal value of 0.0045 for the spread factor l.This value multiplied by the average route’s global cost is a unit fig-ure. The response curve for this parameter is smooth and shows aglobal minimum, which indicates that the assumption of minimi-zation of probabilistic ‘generalized’ cost minimization is superiorto random distribution (for larger values of l) or deterministicchoice (for l approaching zero) Institute of Transport and MaritimeManagement Antwerp, 2007.

The European Sea Ports Organisation (cf. Bovy, 1990) providestotal figures of the number of TEU handled in 2005, which we usedfor an additional validation of the model. These figures were com-pared with the model output as illustrated in Table 3.

We conclude that the TEU flows observed (and used for thecalibration) are in line with the ESPO data. The input flows ofthe model are higher than the ESPO data (empty and full), butthey also include some inland container flows. For the output,the total number of TEU handled is correct. There is an overes-timation of TEU transhipped which means that the model couldbenefit from an additional degree of freedom in terms of achoice between direct and indirect transport. This could be intro-duced using a nesting of choice sets, and will be subject to fur-ther research.

Table 3Comparison of ESPO data and modelled container flows (in millio

Total handling Port to pFull cont

ESPO 399 231Observed flowsa 407Input datab 360Output data model 400

a Sum of the number of TEU handled by all the ports in the dab Conversion of UN data from tons to unitized tons and to TEUc Also includes empty containers transhipped.

4. Scenario analysis

Fig. 5 shows a snapshot of the model output. The lines are pro-portional to the volume of maritime traffic. Although the US hasthe largest absolute import and export flows, the container flowsare larger near Asian and European coasts, particularly along theso-called Suez Canal route stretching from northeast Asia to north-ern Europe (Hamburg being the most northern main port). Thisroute not only accommodates direct intercontinental containerflows on a large set of OD pairs, it is also home to a large numberof sea–sea transhipment hubs which act as turntables in extensiveregionally-based hub-feeder networks. Hubs have emerged sincethe mid-1990s within many global port systems: Freeport (Baha-mas), Salalah (Oman), Tanjung Pelepas (Malaysia), Gioia Tauro,Algeciras, Taranto, Cagliari, Damietta and Malta in the Mediterra-nean, to name but a few (see, for instance, Fagerholt, 2004; Guy,2003; McCalla et al., 2005). In the US, many impediments in Amer-ican shipping regulations gravitating around the Jones Act have fa-voured a process of port system development with limited (feeder)services between American ports and the absence of US-basedtransshipment hubs (Brooks, 2009). Transhipment hubs multiplyshipping options and are the points of convergence of regionalshipping, essentially linking separate hierarchies and interfacingglobal and regional freight distribution systems.

By changing the circumstances under which flows are routedwe can test the sensitivity of the container throughput of individ-ual ports or the sensitivity of services provided by container ship-ping lines. A number of scenarios were tested in order to evaluatethe impacts of changes in the transport system. These include:

1. Opening of shipping routes along the Northern polar cap.2. Landbridge railway connection between China and

Europe.3. Strong increase in inland transportation costs.4. Decrease of transhipment costs in the port of Antwerp.5. A strong overall increase of transhipment costs.6. A decrease in shipping speed.

In the following sections we elaborate on these cases and high-light in particular the results for European ports.

4.1. Scenario 1 – polar cap shortcut

A first scenario which may become reality in the near future isthe opening of shipping routes along the Northern polar cap. TheArctic Ocean has been affected by climate change and this evolu-tion is creating opportunities for maritime transportation. Liuand Kronbak (2009) demonstrate that shipping through the ArcticOcean via the Northern Sea Route (NSR) could save about 40% ofthe sailing distance from Asia (Yokohama) to Europe (Rotterdam)compared to the traditional route via the Suez Canal. However, thisreduction in distance does not lead to similar cost saving as ship-

n TEU).

ort Port to port Transhipmentainers Empty containers

59 108

6674c 145c

taset in 2005/2006.: also includes inland flows.

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Fig. 5. Global flows between all the countries.

L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172 1169

ping lines on the route incur higher building costs for ice-classedships, non-regularity of services, slower speeds, navigation difficul-ties and greater risks, as well as the need for expensive ice breakerservices (see Fig. 6).

The model results show that from West to East, about 2.12 mil-lion TEU might use this link and from East to West only around1.15 million TEU in comparison. The estimated container shifts to-wards the polar cap path represent around 1.5% of the total con-tainer flows. Ten services out of the 849 available services areestimated to use this shortcut, accounting for 1.1% of the totalnumber of services. Container throughput handled by each portdoes not change significantly. Very slight variations are observedwhich account for a total of 4 million TEU. Rotterdam, Pusan andYantian are the ports which are estimated to gain most traffic withrespectively 0.65, 1.2 and 0.76 million TEU. Singapore, Shanghaiand Bremen are the ports which are expected to lose most trafficwith traffic losses of respectively 0.50, 0.54 and 0.49 million TEU.

4.2. Scenario 2 – land bridge railway connection between Europe andChina

In the model a new container service line was added to repre-sent the Trans-Siberian land-bridge, a set of long-distance railwayconnections. The Trans-Siberian Railway connects St. Petersburg

Fig. 6. Popular Northwest Passage routes. Source: Wikipedia (http://en.wikipedia.org/wikearthobservatory.nasa.gov/Newsroom/NewImages/images.php3?img_id=16340.

with the port of Vladivostok via cities like Moscow, Omsk, Novosi-birsk and Irkutsk (see Liliopoulou et al., 2005 for an overview of therailway’s history). Other primary rail connections are the Trans-Manchurian Railway, the Trans-Mongolian Railway and the BaikalAmur Mainline (BAM – opened in 1991) which all coincide withthe Trans-Siberian in the western sections but diverge north ofMongolia just before or after Lake Baikal (see Fig. 7). Total TEU vol-umes on the Trans-Siberian railway reached 948,000 TEU in thefirst nine month of 2008 of which 519,000 TEU were Russiandomestic traffic and 429,000 TEU international container traffic(figures TransContainer). The service runs between Shanghai andMoscow, but in our study we extend it to Hamburg, a distance ofabout 8500 km, also passing through other countries that can usethe line to ship goods over land.

The average speed of the service was set at 500 km per day. Inprinciple, container trains can reach an average speed of 900 kma day (80 km/h), allowing freight to cross Eurasia in about 12 days,making the overland route much shorter than container ships tak-ing the Suez route. Russian railway company RZD and its subsidi-ary TransContainer have plans to introduce block trains operatingon even tighter schedules. In practice, however, these speeds arenot reached due to border crossings, rail equipment issues andstops underway. Similar to the maritime container services, aweekly service is assumed.

i/Northwest_Passage#Effects_of_climate_change). Based on a NASA image at http://

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Table 4Share of flows over landbridge, depending onEuropean origin/destination (two way average).

Region Share of flow (%)

Germany 12France 0.04Belgium 1.7Netherland 0Poland 24Luxembourg 2.0Austria 15

Table 5Increase in transhipment as a result of inlandtransport costs increase.

Port Change (mln. TEU/year)

Rotterdam 0.54Le Havre 0.28Hamburg 1.49Gioia Tauro 0.11Bremen 0.46Antwerp 0.45

Cape Route

Suez Route

Suez Canal

East-West rail corridors

Northern Sea Route

Legenda = Trans-Siberian Railwayb = Trans-Manchurian Railway c = Trans-Mongolian Railwayd = Baikal Amur Mainline (BAM) e = New Asia-Europe Land-Bridge

c ab

da

e

Fig. 7. The TSR route and east–west rail corridors as routing alternatives between East Asia and Northern Europe.

1170 L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172

In the case study, containers can also be transhipped at Hamburgor Shanghai and then use the long distance railway connection. Dif-ferent cost scenarios were tested, varying from a level of the inlandcost applied in Asia to half the cost applied in Europe. In general, thecosts linked to the routes using the railway link are higher than onthe all-water routes. However, the transit time is lower.

It was found that the utilization of the link is relatively price-sensitive, and that the flows are larger in the direction from Asiato Europe. Using the same price level as in Europe, it was found that12.3% of the container flows between Germany and China woulduse the new service (Table 4). However, from the Netherlands anegligible percentage would use the link, because of transhipmentat Hamburg and a limited cost advantage due to the same price le-vel compared to alternative services. It was also observed thatempty flows would use the railway link relatively less comparedto other routes. The explanation for this observation lies in the va-lue of time, which is far lower in case of empty containers. The re-sults are somewhat in line with the analysis of Vernya andGrigentinc (2009) who adopted a model schedule between Shang-

hai and Hamburg to analyze the relative costs of various axes inthe Asia–Europe transport network. Their results show that ship-ping through the Suez Canal is still the cheapest option. The NorthSea Route and the Trans-Siberian Railway appear to be roughlyequivalent second-tier alternatives. Volumes on the landbridgeare thus expected to remain fairly small compared to shipping viathe Suez route.

4.3. Scenario 3 – strong increase in inland transportation costs

Under this scenario, the inland transport costs were doubledand the changes in the number of TEU handled by different portswere analyzed. Increases in inland transport costs can lead to atransfer of costs to final consumer and not a modal shift, but itcan also lead to changes in routing behavior and modal choice. Itwas found that this measure resulted in a higher number of TEUhandled by ports (plus 33 million TEU), with a total of 435 millionTEU. This increase is mainly due to more transshipment and shortsea shipping, with 31 million TEU movements created. The otheradditional 2 million TEU are the result of a modal shift from inlandto maritime transport. The total increase (transshipment and mod-al shift) for empty containers amounts to 4 million TEU and to 29million TEU for full ones. For the European ports we see that overalltranshipment volumes increase, as flows are routed to the nearestport and transhipped to the main container lines. Hamburg gainsrelatively most within its competitive range (Table 5).

4.4. Scenario 4 – reduction of Antwerp’s cost to the level of the port ofRotterdam

The port of Antwerp is the main competitor of Rotterdam,although a certain level of complementarity exists among thetwo main ports (Notteboom, 2009). In fourth scenario, the impactof a reduction in Antwerp’s generalized cost parameter to the samelevel as the port of Rotterdam was investigated. The results areprovided in Table 6. The increased attractiveness of Antwerpcauses a reduction in container flows in all the other ports in theregion, but particularly in Rotterdam, Hamburg and Bremen. Thisclearly shows that these ports are in the same competitive range.

4.5. Scenario 5 – strong increase of transhipment costs

In this case study, port costs for transhipped containers weredoubled. As a result, European ports encounter a huge reduction

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Table 8Comparison of the impacts of different scenarios on total container throughput in theport of Rotterdam (⁄mln. TEU).

Scenario 1 – Polar cap shortcut +0.65Scenario 2 – Landbridge China–Europe NegligibleScenario 3 – Increase in inland costs +0.5Scenario 4 – Reduction of Antwerp’s cost �1.7Scenario 5 – Increase in transhipment costs �0.6Scenario 6 – Slow steaming �0.095

Table 6Changes in main port flows in Europe afterchanging the cost of Antwerp.

Port Change (mln. TEU/year)

Rotterdam �1.7Le Havre �0.4Hamburg �1.7Gioia

Tauro�1.2

Bremen �0.96Antwerp 5.8

L. Tavasszy et al. / Journal of Transport Geography 19 (2011) 1163–1172 1171

in sea–sea transhipment flows. In the Northern port range, onlyHamburg gains container traffic and even transhipment traffic.Hamburg’s pivotal position vis-à-vis the Baltic Sea might make itless vulnerable to losses in feeder traffic. Overall, global containertraffic decreases by 13 million TEU, caused by reductions in tran-shipment flows (see Table 7).

4.6. Scenario 6 – slow steaming

Changing the operational speed of the vessel is one way of mod-ifying the operational characteristics of a container liner service. Areduction in vessel speed or ‘slow steaming’ is becoming commonpractice among shipping lines in order to cut fuel costs (Notteboomand Vernimmen, 2009). Quite a number of shipping lines are nowexamining the possibilities of making cost savings by further slow-ing down ships to about half their usual speeds. A service speed of14 knots is considered by some as the possible future norm forcontainerships, in contrast to speeds of up to 22–23 knots beforeslow steaming was introduced. While some container carriers suchas Maersk Line and CMA CGM are moving to super slow steaming,others continue to run their services at full speed despite the highfuel price. Some shipowners who have managed to defer new-building deliveries are taking advantage of the extra time to mod-ify designs and specify smaller, more fuel-efficient propulsionsystems with lower service speeds. Many owners are however stillreluctant to commit to smaller engines as they fear that at somestage higher speeds will be viable again. This scenario investigatesa case of a drastic reduction of the operational speed of vessels tosuper slow-steaming (i.e. 14–15 knots instead of a normal 22–24knots). Super slow-steaming does not significantly affect containerthroughputs in ports. However, worldwide 1.3 million TEU arehandled a second time in order to use other services. In otherwords, super slow-steaming encourages sea–sea transhipmentoperations at intermediate hubs. In particular, shifts in containerflows can be observed towards hubs that are being served in aslow-steaming configuration. At the European continent, however,the effects remain limited: Rotterdam is the most affected portwith a reduction of 95,000 TEU/year. The tendency towards morehub-and-spoke using bigger vessels does not imply that there is

Table 7Changes in main port flows in Europe aftera doubling of transhipment costs.

Port Change (mln. TEU/year)

Rotterdam �0.6Le Havre �0.1Hamburg 1.1Gioia

Tauro�0.9

Bremen �1.1Antwerp �1.1

no longer room for smaller liner services with smaller vessels inspecific niche markets.

5. Conclusions

This paper introduced a new strategic choice model for con-tainer shipping routes which explicitly takes into account portselection criteria. The model is unique as it combines a worldwidecoverage and a description of route selection made within the net-work based on shippers’ preferences and a comprehensive networkof maritime services.

The calibration shows that the model is able to predict quitewell the yearly container flows to and from all countries using ma-jor and minor container ports around the world. The model can beapplied to assess the impacts of various future changes in the con-tainer transport market. The results of the case studies provide uswith interesting insights into port choice dynamics triggered bychanges such as a polar cap shortcut and a long distance railwayconnection between Europe and China. The model also allows acomparison of the impacts of different policies or evolutions inthe market environment. Table 8 summarizes the consequencesof different modifications in the port environment on total con-tainer throughput in the port of Rotterdam. In this context, the rel-ative differences are more relevant than the absolute figures.

The model gives ample possibilities for future research on anumber of themes. First of all, there is room for the introductionof measurable indicators for ports’ economic and physical attrac-tiveness in view of increasing the explanatory value of the model.Second, the nesting of choices between direct and indirect servicesmight be useful as to take into account the relative attractivenessof sea–sea transhipment versus direct liner services. Third, moreresearch is needed to estimate the value of time along with thepresented parameters.

A new direction of research which now becomes possible to ex-plore, involves the linking of this global transport network modelwith a model of worldwide logistics networks, trade and produc-tion. This will allow us to study the influence of major transportcost changes on worldwide supply chain structures and economicgrowth.

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