Sources of efficiency changes at Asian container ports

Xiyi Yang (School of Entrepreneurship and Management, ShanghaiTech University, Shanghai, China)
Tsz Leung Yip (Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Kowloon, Hong Kong )

Maritime Business Review

ISSN: 2397-3757

Article publication date: 18 February 2019

Issue publication date: 24 April 2019

1223

Abstract

Purpose

This study aims to investigate the efficiency changes of 23 major Asian container ports for the period from 2000 to 2007. In addition to assess the general trend, it also attempts to decompose the overall efficiency change into technological efficiency change, technical efficiency change and scale efficiency change to help port authorities to devise operational strategies.

Design/methodology/approach

The Malmquist index method is used, which is derived from data envelopment analysis. In this model, technological improvement comes from using state-of-the-art technologies, technical improvement is from rationalizing of port inputs and scale efficiency is from adjustment of port operational scales.

Findings

On average, the investigated ports have improved their efficiencies by 14.3 per cent. Such efficiency gains can be attributed to a 41 per cent increase in pure technical efficiency, a 47.5 per cent increase in scale efficiency and a 30.5 per cent decrease in technological efficiency. The scale efficiency contributes the most to the overall efficiency improvement, while technical and technological effects seem to have less impact. The fact that technological efficiency has little variance seems to suggest that this source of efficiency gain may not bring substantial competitive advantage.

Research limitations/implications

The sample period is 2000-2007, so the impact from the Asian financial crisis or the economic downturn was not covered. Also, the port throughputs data do not separate shipment and transhipment.

Originality/value

This study provides valuable suggestions to improve efficiency for container ports along the “Maritime Silk Road.”

Keywords

Citation

Yang, X. and Yip, T.L. (2019), "Sources of efficiency changes at Asian container ports", Maritime Business Review, Vol. 4 No. 1, pp. 71-93. https://doi.org/10.1108/MABR-10-2018-0043

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Pacific Star Group Education Foundation. Licensed re-use rights only.


Introduction

Container ports and terminals form an essential component of the modern economy. Containerization since the middle of the twentieth century has largely reduced the transportation cost of international trade, resulting in dramatically growing demand for container transport. Physical expansion and efficiency improvement have been the two major approaches to enlarge container port capacity to cope with escalating trade volumes (Le-Griffin and Murphy, 2006). Yet in places where port expansion is constrained by a limited supply of land and increasing environmental concerns, improving port efficiency is more feasible and effective. It is then critical to assess the potential sources of port efficiency gains over time for governments and port operators to devise strategies accordingly. In particular, governments are able to optimize the collocation of the coastal resources to enhance the competitiveness of hinterlands while port operators may benchmark their performance with comparable ports to identify areas for improvement.

The Belt and Road Initiative, also known as One-Belt One-Road, is a strategic project that has been a major topic of discussion in countries along the twenty-first-century Maritime Silk Road of One-Belt One-Road. “One-Belt” denotes the Silk Road Economic Belt and includes countries such as Indonesia, Malaysia, Philippines, Singapore, Thailand, etc. It is believed that the Silk Road Economic Belt will serve as a vehicle to create economic prosperity for the world. Ports along the Silk Road Economic Belt is not only affecting the local economy but also reverberating across the worldwide economy.

Port has more to offer to businesses than just a maritime facility. Therefore, an efficient port will be substantially enhancing many economic activities around the port from trade to shipping, and from transport to warehousing. Previous research has not sufficiently addressed efficiency changes in large Asian container ports compared with those in developed regions. Few studies have tried to analyze the sources to which efficiency gains and losses can be attributed (Cullinane et al., 2002; Yip et al., 2011). In this study, we aim to fill these gaps by estimating the efficiency changes of major Asian container ports, many of which are along the Silk Road Economic Belt, for the period from 2000 to 2007. In addition to estimate the overall efficiency change, we intend to decompose the overall change into components related to technical, scale and technological efficiency and thereby derive policy implications to governments, port authorities and operators. Finally, a series of media reports have been published recently on the decline of Hong Kong Port (Heaver, 2017; Grinter, 2018), motivating us to examine in detail the performance of Hong Kong Port, and benchmark it with its main competitors. In this way, this study will provide valuable findings such that ports along the Silk Road Economic Belt will have possible options to enhance their efficiency.

We will first review the concept and methodologies of calculating efficiency changes before describing the data and scope of this study. We will then present the result of analysis and discuss its implications for port authorities and operators by providing an overview of efficiencies for all ports and examining in detail the sources of inefficiencies. The performance of Hong Kong Port, as well as its comparison with its major competitors, will be addressed. Finally, the limitations of this study and areas for further research will also be discussed.

Literature review

Widely used methods to calculate productivity include index number approach, traditional regression methods, corrected original least squares (COLS), stochastic frontier analysis (SFA), and data envelop analysis (DEA). Derived from DEA framework, recent studies have increasingly utilized the Malmquist productivity index (MI) method to measure productivity of container ports and terminals (Choen et al., 2009; Song and Cui, 2014; Ding et al., 2015). The MI method shares many of the advantages of DEA method, and is particularly useful to evaluate the productivity change of decision-making unit (DMUs) between two time periods. Furthermore, it has the advantage of decomposing overall productivity change into various components. In the following, we discuss in detail the intuition of each approach, as well as their advantages and limitations.

The index number approach attempts to capture the ability of DMUs to combine inputs and produce outputs. The total factor productivity (TFP) is the most widely used measure in the index number approach. Though easy to calculate, such index has limitation in distinguishing efficiency changes from the effects of scale economies and input substitution (Choen et al., 2009).

Original least squares (OLS) estimation is another approach where a regression line is fitted into the existing data, representing the productivity of each DMU derived from the observed data. Yet this approach relies on the assumption of an optimal production or cost function and is therefore inaccurate as decisions of DMUs are not always optimized. Corrected original least squares (COLS) estimation is an improved method where the regression line in OLS is shifted to enclose all the data. The shifted line represents the efficiency frontier and the relative efficiency of each individual port can be measured against the frontier. However, the weakness of this approach includes its dependence on a priori production or cost function and its sensitivity to the frontier used (Liu, 2010).

Stochastic frontier analysis (SFA) is a parametric and stochastic approach to estimate productive efficiency. The major breakthrough of SFA compared to regression methods is that SFA calculates the inefficiency of DMUs based on distribution assumptions, so different entities can have different inefficiencies (Yip et al., 2011; Merkel, 2018). In common with the COLS approach, SFA relaxes the assumption that the behavior of DMUs is optimized. As in COLS, the degree of (in)efficiency of individual DMUs can be measured against the frontier. The main advantage of the SFA method is that it considers statistical noise, and hence, it is possible to test the validity of certain assumptions and hypotheses and that there is great flexibility in specifying the production technology in functional form. However, similar to COLS, the drawbacks include the need to impose a priori structure when constructing the frontier functional form. Furthermore, the estimation results using SFA is sensitive to the assumptions concerning the distribution of the inefficiency terms.

Data envelopment analysis (DEA) is a mathematical programming approach to estimate efficiency. Similar to COLS and SFA, this approach also maps out a production frontier based on inputs and outputs information, and the relative efficiency of each DMU is estimated from its distance to the frontier. The strength of this method is that no priori structural assumptions is required. The drawbacks of this method lie in that the accuracy of it is sensitive to outliers, and that it does not consider the measurement error so that it is not possible to test the statistical significance of the estimated efficiency. A growing number of studies have used the DEA method to evaluate port efficiency (Panayides et al., 2009). Roll and Hayuth (1993) is probably the first study which applies the Charnes, Cooper, and Rhodes (CCR) DEA model with the assumption of constant returns to scale (CRS) to the port sector. It uses a hypothetical example of 20 container ports to generate simulated results. Martínez -Budria et al. (1999) uses the Banker, Chames and Cooper (BCC) DEA model assuming variable returns to scale (VRS) to analyze 26 Spanish ports using input and output data during the years 1993-1997. Tongzon (2001) argues that to restrict the scope of analysis to a limited number of ports and a specific type of cargo is necessary for the multiplicity of ports and cargo handled. It uses both CCR DEA and DEA-additive models to analyze the efficiency of 4 Australian and 12 other international container ports for the year 1996. Valentine and Gray (2001) again use a CCR DEA model to compare the efficiency of 31 world-class container ports with different ownerships and organizational structures in 1998. Cullinane et al. (2005) investigate the relationship between privatization and efficiency by analyzing 25 container ports during 1992-1999. Nguyen et al. (2016) used bootstrapped DEA to measure efficiency of Vietnamese ports.

The Malmquist productivity index (MI), based on DEA models, is one of the prominent indices for measuring the relative productivity change of DMUs over time. Using this method, the estimated efficiency changes are decomposed into frontier shift effects (due to technological advancement) and catch-up effects. The catch-effects are further separated into pure technical efficiency effects and scale efficiency effects, indicating the extent to which an operator catches up with the best practice in the field and optimize the scale of its operations to meet the demand side. This index has been used to measure efficiency changes in other regulated infrastructure sectors such as electricity (Hjalmarsson and Veiderpass, 1992), natural gas (Price and Weyman-Jones, 1996), and airports (Abbot and Wu, 2002). For the port sector, this type of research has been conducted for countries like Yugoslavia and Mexico (Nishimizu and Page, 1982; Estache et al., 2004; Choen et al., 2009) have also applied MI to 98 world scale container ports and major national gateway ports. Ding et al. (2015) applied MI to coastal secondary ports in China. The following section will discuss in detail the methodology of calculating the MI.

Methodology

Based on information on the inputs and outputs of DMUs in two periods, the MI method can determine whether the variation of performance is due to technical efficiency change (TEC) and/or technological change (TC). Following Estache et al. (2004), the MI calculated for year t and t + 1 can be calculated as the following:

M0=[D0t(x0t+1,y0t+1)D0t(x0t,y0t)D0t+1(x0t+1,y0t+1)D0t+1(x0t,y0t)]1/2.

Here, the D0t(x0s,y0s) represents the distance from the period s observation to the period t technology. When M0 is greater than 1, it indicates productivity growth, and when M0 is smaller than 1, it indicates productivity deterioration. The MI can be decomposed into two components: the technical efficiency change (TEC) and the shift of productivity frontier due to technological change (TC):

M0=D0t+1(x0t+1,y0t+1)D0t(x0t,y0t)×[D0t(x0t,y0t)D0t+1(x0t,y0t)D0t(x0t+1,y0t+1)D0t+1(x0t+1,y0t+1)]1/2=TEC×TC.

The first component measures how close the DMU is to the frontier in year t + 1 compared with year t, and therefore, with TEC greater than 1, the DMU has moved closer to the frontier in year t + 1 than in year t, and vice versa. The second component captures the change in technology between the two periods. If TC is greater than 1, it indicates technological progress, and vice versa.

Given that the MI measure is derived from DEA, its decomposition also depends on the assumptions on returns to scale. The TEC and TC indices above are calculated under the assumption of CRS, that is, assuming that all DMUs are already operating at the optimal scale. As illustrated in Grilo and Santos (2015), the TEC calculated under the assumption of CRS can be further decomposed into pure technical efficiency change (PTEC) and scale efficiency change (SEC) under the assumptions of VRS:

M0=PTEC×SEC×TC.
PTEC=D0VRSt+1(x0t+1,y0t+1)D0VRSt(x0t,y0t).
SEC=D0CRSt+1(x0t+1,y0t+1)/D0VRSt+1(x0t+1,y0t+1)D0CRSt(x0t,y0t)/D0VRSt(x0t,y0t).

PTEC captures changes in technical efficiency resulting from improvements in operations and management practices, that is, the least inputs are used in producing the outputs. SEC captures the productivity change associated with the movements of DMUs inside the frontier and assess whether the movements are in the right direction to attain the CRS point, which is the optimal scale point.

In this study, we use the MI method to investigate the overall efficiency changes at major Asian container ports from 2000 to 2007. We further look into the contributions from improvements in pure technical efficiency, scale efficiency and technological progress for each port. The performance of Hong Kong Port will be benchmarked with the overall statistics and with its major competitors. Finally, a statistical test will be run to reveal the correlation between overall efficiency change, that is MI, and PTEC, SEC or TC, which indicates the contribution of each source to the overall efficiency improvement/deterioration.

Data and scope

Ideally, all activities and resources involved in container port operations should be taken into account when calculating efficiency. This decision of which input and output variables to be included, however, largely depends on the availability and quality of data.

The specification of inputs in the literature is not unified. Some studies consider labor and capital as input variables (Liu, 1995; Coto-Millan et al., 2000; Estache et al., 2002; Cullinane and Song, 2003). Some others specify inputs based on the infrastructure and machineries of the ports, that is, quay length, terminal area, number of cargo handling equipment and storage capacity (Tongzon and Heng, 2005; Cullinane et al., 2002; Cullinane and Song, 2006; Sun et al., 2006). Though important for port operations, labor inputs may not be necessary or suitable for determining productivity for several reasons. First, a fairly close relationship exists between the number of workers in a container terminal and the number of gantry cranes. The labor input can thereby be derived by a function of the facilities of the terminal (Notteboom et al., 2000). Second, many operations during cargo handling are outsourced to third-party logistics firms, making the port’s statistics data on labor less reliable. Finally, in the era of containerization, many port operations are standardized. The efficiency differences caused by labor are not very significant (Liu et al., 2006). In contrast, the infrastructure and machineries inputs reflect a more accurate configuration of the ports (Notteboom et al., 2000). In this case, given the characteristics of container ports operations and the limitation of information, total container berth length (in meter), container terminal area (in square meter), and landside container crane capacity (in ton) are selected as the inputs for analysis. Other input factors, such as berth working hours, berth waiting time and other equipment, are not included from the consideration of both data availability and avoidance of the problem of multicollinearity.

The specification of outputs in the literature is more unified. Though some recent studies have started to incorporate multiple outputs (Barros, 2005; Rodriguez-Alvarez et al., 2007), the annual container throughput (in TEU) is still the most widely accepted indicator for container transport activities. In addition, to reduce the impact of severe output fluctuation that might have been caused by external shocks (e.g. labor dispute), the average of three successive years’ throughput is used as the final output (e.g. the average value of 1998, 1999 and 2000’s output is used as the output data for 2000)[1].

The scope of this research is for Asia and a total number of 23 containers ports will be investigated (see Figure 1 for their geographic locations). We first identify 27 ports whose throughput in 2008 were at least two million TEUs, and they contributed to more than 80 per cent of the total throughput of Asian container ports in that year. Then for Asian countries not covered by these ports, we will include their largest container ports as well. However, the final sample size is reduced due to data availability. Specifically, data on port input and output are mainly collected from Containerization International Yearbook, whose information is collected directly from the terminal operating organizations. Other data sources include China’s Port Yearbook and port authorities’ websites, etc. Output and input data are available for 28 ports for year 2007, but this number decreases to 23 ports for year 2000. Therefore, the final sample will be restricted to the 23 Asian container ports that have data for both years.

The 23 investigated container ports are represented by 14 countries/regions, Singapore, China, Hong Kong (China), Korea, Taipei (China), Malaysia, Thailand, Japan, India, Indonesia, Sri Lanka, Philippines, Pakistan and Brunei, and therefore shall have different policies, management structures and regulatory characteristics. Their output variables (throughput in TEU) and input variables (berth length in meter, terminal areas in square meter, crane capacity in ton) are presented in Table I, for year 2000 and year 2007 respectively. The output throughput for 2000 is the average number of the throughput of 1998, 1999 and 2000. Similarly, the output for 2007 is the average of that in 2005, 2006 and 2007. The summary statistics of the input and output variables are reported in Table II. In the following section, the MI analysis will be implemented with the 23 ports that have data on both years.

Findings

Table III has summarized the efficiency changes and their sources at the investigated ports from 2000 to 2007 using the MI method. Overall, the major Asian container ports have improved their efficiency by 14.3 per cent (with average MI = 1.143). The sources of efficiency gains/losses can be attributed to:

  • a 41 per cent increase in pure technical efficiency (average TEC = 1.41);

  • a 47.5 per cent increase in scale efficiency (average SEC = 1.475); and

  • a 30.5 per cent decrease in technological efficiency (average TC = 0.695).

Nine ports appear to have improved their efficiency while the remaining fourteen have retrogressed. Busan Port is the best-performing port according to our analysis, with MI = 2.805. This increase in MI mainly comes from its improvement in technical efficiency (TEC = 2.439) and scale efficiency (SEC = 1.428), while its TC score is less than 1 (TC = 0.805). It is worth noting that all ports have a TC index that is smaller than 1, which indicates deterioration in technological improvement, that is, no innovation in technologies. This result contradicts the general belief that most large Asian container ports have rapidly improved their container handling, managerial and security technologies. In addition, in light of Choen et al. (2009), ports like Singapore and Hong Kong have made strategic and aggressive capital investment in the most cut-edging technologies, yet their respective TC is only 0.666 and 0.305.

Moreover, a series of media reports have been published recently on the decline of Hong Kong Port (Heaver, 2017; Grinter, 2018). From our analysis, Hong Kong Port ranks as 21st with its MI = 0.292, TEC = 1.000, SEC = 0.957 and TC = 0.305. This indicates decreased efficiency with deterioration in all three sources. All these indexes are below the average. Compared with its major competitors, the port of Singapore and Shanghai also lag behind the regional average in almost all indexes (except for Shanghai’s TC). Yet both ports are performing better than Hong Kong in technological development (TC). As for another major competitor, the port of Kaosiung, it has a better ranking of 9th and a higher TC figure of 0.711. In this sense, the port of Hong Kong may first want to improve its technological efficiency, which involves both capital investment and technology utilization. After that, it has to investigate and improve all three areas (technical, scale and technological).

Table IV has summarized the correlations between MI and its three sources. First, the pure technical efficiency seems to have the strongest impact on a port’s overall efficiency improvement (correlation = 0.85). Such pure technical efficiency gains are achieved by rationalizing port inputs to generate the maximum output, which usually involves port reforms, strategic long-term planning, and efforts to catch up with the best practices in the industry (Gosasang et al., 2018). SEC and TC seem to have a smaller impact on the overall efficiency gains and losses, with correlations equaling 0.21 and 0.24, respectively. This implies the limitation of simply adjusting port operations scales and adopting the state-of-art technologies to improve port overall efficiency. From Table V, which reports the summary statistics of the (in)efficiencies, it is worth noting that TC has the smallest variance with a standard deviation of 0.18. This implies that ports may easily assimilate with each other in the use of technologies. In this sense, capital investment in new technologies is to be strategic, yet not likely to create sustainable competitive advantage.

Limitations of the study

Apart from the sensitivity to the frontier used and the inability to test for significance of the DEA method, this paper also has several other limitations. First, in addition to inputs, other exogenous factors may influence the efficiency of container ports, such as the transport networks of the operators, the regulations of the regional governments and the general economic trends that affect demand for container transportation. The method used in this study, however, is unable to quantify and separate the efficiency changes from these exogenous factors. Following this, it can be unfair to penalize port operators with deteriorating SEC indexes as external demand is usually driven by the economic sizes and strengths of port hinterlands. According to Estache et al. (2004), it will be more appropriate to assess port efficiency changes using MI net SEC (MI* = MI/SEC). We follow this approach and report the bet MI of major Asian container ports in Table VI. Once ruling out the effect of pure scale economies and focusing on technical and technological improvements, Port Kobe seems to have outperformed other ports while Port Muara experienced the least productivity improvement during our sample period.

In addition, the DEA model used here presumes that any port different enough from the others to be the outlier and therefore identify it as the best practice. Yet this port may still be inefficient to some extent. In this sense, this study may not be able to help port operators to fully exploit efficiency gains and other research results shall be used in combination for port authorities/operators to devise proper strategies.

Furthermore, the basic requirement for reliable port efficiency analysis and benchmarking is the appropriate selection of homogenous DMUs. While our choice of limiting the sample to include only large Asian container ports may to some extent ease the concern, there is uninventable heterogeneity in terms of the tasks and objectives of the ports, market conditions they face, other institutional or cultural factors, etc. In this case, one should be cautious when interpreting and generalizing the findings of this study.

Another important limitation is that port throughputs are not decomposed into direct shipment and transhipment. The development of short-sea shipping around the Malacca Straits is phenomenal. However, most official statistics do not report the direct transhipment and transhipment separately, which makes further analysis impossible at this stage.

Finally, the data set includes container ports during 2000-2007. Either the impact from the Asian financial crisis or the economic downturn from the end of 2007 was not covered by the current study. While focusing on a period when external market is relatively stable is beneficial to efficiency analysis, given that estimated efficiency deterioration can result from shrinking market demand, instead of real deterioration in technical, scale, or technological efficiency, we do acknowledge this as a limitation of our study. Future studies on the efficiency dynamics of Asian container ports are needed, particularly for the post-2007 period.

Conclusions

This study has investigated the overall efficiency changes at 23 major Asian container ports from 2000 to 2007. It also decomposes the sources of such changes into purely technical, scale and technological efficiency gains by using the Malmquist index equation from Estache et al. (2004). Overall, these ports have improved their efficiency by 14.3 per cent with improvement in technical and scale efficiency but with deterioration in technological development. The port of Hong Kong seems to underperform in all aspects investigated. In particular, it may first improve its technological adoption as this aspect lags behind its major competitor the most (Choy et al., 2016).

In addition, this study reveals that the pure technical efficiency may have had the most direct effect on the overall efficiency improvement given a high correlation between the two (0.85). Scale and technological effect seem to have less direct impact with relatively low correlation with the overall efficiency improvement (<0.25). Furthermore, the fact that technological efficiency has little variance among the ports investigated suggests that this source may not bring substantial competitive advantage. Given the fact that port authorities and operators are given little control over the demand side, it may be more appropriate to assess port overall efficiency by looking at the total efficiency change net scale effect. After all, the Malmquist index is just one type of indicators and should be used in combination with others in decision-making.

Finally, container ports are important infrastructure that support their countries’ economic development. Although most of these ports are located along the Silk Road Economic Belt, their efficiencies vary from port to port across countries. Efficient ports will help to reduce shipping and trade costs in the region and efficiency growth of these ports will benefit the worldwide economy.

Figures

The location of the 23 major Asian container ports

Figure 1.

The location of the 23 major Asian container ports

Port output and input variables

Output Input
Throughput (TEU) Berth length (meter) Terminal area (square meter) Crane capacity (ton)
Year 2000
Singapore 16,040,116.7 2,946.0 1,785,200.0 710.0
Shanghai 4,296,333.3 2,281.0 858,000.0 482.0
Hong Kong 16,297,597.3 6,059.0 2,180,000.0 1796.0
Busan 6,641,863.3 4,897.0 2,472,736.0 1,646.6
Kaosiung 6,894,082.0 4,048.0 1,138,000.0 580.0
Tianjin 1,342,141.0 1,300.0 575,000.0 80.0
Port Klang 2,525,730.0 4,579.0 1,407,600.0 1,615.0
Laem Chabang 1,860,865.3 1,600.0 10,000.0 90.0
Xiamen 859,900.0 500.0 400,000.0 82.0
Dalian 742,034.0 300.0 560,000.0 61.0
Tokyo 2,587,861.3 2,944.0 938,000.0 760.0
Jawaharlal nehru 916,288.7 680.0 471,000.0 106.5
Tanjung priok 2,215,841.0 1,410.0 635,351.0 255.0
Yokohama 2,193,942.7 5,150.0 1,281,816.8 1,369.9
Colombo 1,717,107.0 1,899.0 262,000.0 105.0
Nagoya 1,645,652.0 3,370.0 876,600.0 1,164.1
Manila 2,287,054.7 3,707.0 1,790,000.0 657.4
Kobe 2,180,960.0 8,785.0 3,198,886.0 581.5
Osaka 1,293,393.7 3,065.0 895,905.0 524.9
Keelung 1,774,945.7 3,192.0 339,000.0 955.0
Yantai 347,000.0 180.0 30,000.0 50.0
Karachi 549,303.3 600.0 136,220.0 150.0
Muara 49,039.3 515.0 6,070.0 37.0
Year 2007
Singapore 25,305,533.3 6,565.0 2,600,000.0 4,067.4
Shanghai 21,981,333.3 7,356.0 6,169,837.0 3,967.0
Hong Kong 23,379,553.0 10,999.0 3,438,820.0 5,903.0
Busan 12,381,050.3 7,076.0 3,408,202.0 2,791.2
Kaosiung 9,834,185.0 6,714.0 1,421,374.0 915.0
Tianjin 5,951,333.3 2,450.0 1,004,400.0 385.0
Port Klang 6,377,383.0 5,513.0 1,736,300.0 2,117.5
Laem Chabang 4,177,001.7 7,660.0 3,546,800.0 2,868.5
Xiamen 3,996,000.0 1,490.0 480,000.0 234.0
Dalian 3,480,397.3 2,808.0 1,663,150.0 1,161.0
Tokyo 3,970,743.0 4,016.0 1,020,901.0 1,000.0
Jawaharlal nehru 3,341,624.7 1,280.0 688,400.0 642.0
Tanjung priok 3,593,860.0 3,192.0 1,656,000.0 855.0
Yokohama 3,167,090.7 5,430.0 1,911,256.0 1,522.8
Colombo 2,972,040.7 3,154.0 472,300.0 1,013.0
Nagoya 2,713,032.0 3,755.0 1,368,240.0 1,289.3
Manila 2,751,349.0 3,556.0 1,672,200.0 663.4
Kobe 2,382,547.0 6,985.0 1,766,413.0 1,684.8
Osaka 2,211,870.3 4,065.0 1,303,767.0 930.2
Keelung 2,145,252.7 3,192.0 339,000.0 955.0
Yantai 1,604,426.3 1,681.0 470,000.0 411.0
Karachi 1,157,546.0 1,200.0 346,000.0 364.0
Muara 141,436.0 250.0 98,000.0 80.0

Summary statistics of port output and input variables

Output Input
Throughput (TEU) Berth length (meter) Terminal area (square meter) Crane capacity (ton)
Year 2000
Mean 3,359,089.3 2,782.9 967,277.6 602. 6
Medium 1,860,865.3 2,944.0 858,000.0 524.9
Standard deviation 4,392,986.7 2,154.8 845,059.1 571.0
Standard error 916,001.0 449.3 176,207.0 119.1
Skewness 2.4 1.0 1.1 0.9
Maximum 16,297,597.3 8,785.0 3,198,886.0 1,796.0
Minimum 49,039.3 180.0 6,070.0 37.0
N 23 23 23 23
Year 2007
Mean 6,478,982.1 4,364.7 1,677,450.4 1,557.4
Medium 3,480,397.3 3,755.0 1,421,374.0 1,000.0
Standard deviation 7,289,607.7 2,648.5 1,402,237.6 1,457.7
Standard error 1,519,988.3 552.3 292,386.8 303.9
Skewness 1.9 0.6 1. 7 1.7
Maximum 25,305,533.3 10,999.0 6,169,837.0 5,903.0
Minimum 141,436.0 250.0 98,000.0 80.0
N 23 23 23 23
t-test of mean difference of port output and input data between 2000 and 2007
Mean difference (2007 minus 2000) 3,119,892.8 1,581.8 710,172.8 954.8
p-value 0.0857 0.0315 0.0434 0.0054
t-value 1.7580 2.2217 2.0803 2.9251

MI, TEC, SEC and TC of major Asian container ports from 2000 to 2007

MI Rank TEC Rank SEC Rank TC Rank
Busan 2.805 1 2.439 4 1.428 3 0.805 5
Port Klang 2.541 2 3.353 2 0.955 17 0.794 6
Kobe 2.535 3 3.846 1 0.852 20 0.774 9
Yokohama 2.303 4 2.506 3 1.111 6 0.827 2
Jawaharlal Nehru 2.022 5 2.042 6 1.286 5 0.770 10
Muara 1.882 6 0.641 18 10.783 1 0.272 20
Nagoya 1.697 7 2.260 5 1.024 11 0.733 13
Osaka 1.418 8 1.752 7 0.993 13 0.815 4
Kaosiung 1.068 9 1.397 9 1.075 7 0.711 14
Manila 0.949 10 1.651 8 0.766 23 0.750 11
Tianjin 0.776 11 1.034 10 0.878 19 0.844 1
Colombo 0.747 12 0.971 12 1.044 9 0.736 12
Dalian 0.730 13 0.596 20 1.804 2 0.680 15
Xiamen 0.670 14 0.610 19 1.366 4 0.805 5
Singapore 0.666 15 1.000 11 1.000 12 0.666 16
Shanghai 0.641 16 0.858 15 0.958 15 0.780 7
Keelung 0.620 17 0.909 14 1.042 10 0.654 17
Tanjung priok 0.605 18 0.915 13 1.056 8 0.647 18
Tokyo 0.507 19 0.771 16 0.845 21 0.779 8
Karachi 0.479 20 0.703 17 0.832 22 0.819 3
Hong Kong 0.292 21 1.000 11 0.957 16 0.305 19
Laem Chabang 0.196 22 1.000 11 0.906 18 0.217 21
Yantai 0.141 23 0.175 21 0.975 14 0.827 2
Average 1.143 1.410 1.475 0.696

Correlation between MI and the three sources of efficiency change

MI TEC SEC TC
MI 1.00 0.85 0.21 0.24
TEC 0.85 1.00 −0.19 0.27
SEC 0.21 −0.19 1.00 −0.50
TC 0.24 0.27 −0.50 1.00

Summary statistics of MI, TEC, SEC and TC

MI TEC SEC TC
Mean 1.143 1.410 1.475 0.696
Medium 0.747 1.000 1.000 0.770
Standard deviation 0.824158 0.935002 2.042023 0.180645
Standard error 0.171849 0.194961 0.425791 0.037667
Skewness 0.800552 1.239775 4.69844 −1.93546
Maximum 2.805 3.846 10.783 0.844
Minimum 0.141 0.175 0.766 0.217
N 23 23 23 23

MI net of SEC (MI*)

MI SEC MI* MI-MI*
Busan 2.805 1.428 1.964 −0.841
Port Klang 2.541 0.955 2.661 0.120
Kobe 2.535 0.852 2.975 0.440
Yokohama 2.303 1.111 2.073 −0.230
Jawaharlal Nehru 2.022 1.286 1.572 −0.450
Muara 1.882 10.783 0.175 −1.707
Nagoya 1.697 1.024 1.657 −0.040
Osaka 1.418 0.993 1.428 0.010
Kaosiung 1.068 1.075 0.993 −0.075
Manila 0.949 0.766 1.239 0.290
Tianjin 0.776 0.878 0.884 0.108
Colombo 0.747 1.044 0.716 −0.031
Dalian 0.730 1.804 0.405 −0.325
Xiamen 0.670 1.366 0.490 −0.180
Singapore 0.666 1.000 0.666 0.000
Shanghai 0.641 0.958 0.669 0.028
Keelung 0.620 1.042 0.595 −0.025
Tanjung priok 0.605 1.056 0.573 −0.032
Tokyo 0.507 0.845 0.600 0.093
Karachi 0.479 0.832 0.576 0.097
Hong Kong 0.292 0.957 0.305 0.013
Laem Chabang 0.196 0.906 0.216 0.020
Yantai 0.141 0.975 0.145 0.004
Average 1.143 1.475 1.025 −0.018

Port output data (in TEU)

Year 2000 Year 2007
1998 1999 2000 Average 2005 2006 2007 Average
Singapore 15,135,557 15,944,793 17,040,000 16,040,117.0 23,192,200 24,792,400 27,932,000 25,305,533.0
Shanghai 3,066,000 4,210,000 5,613,000 4,296,333.3 18,084,000 21,710,000 26,150,000 21,981,333.0
Hong Kong 14,582,000 16,210,792 18,100,000 16,297,597.0 22,601,630 23,538,580 23,998,449 23,379,553.0
Busan 5,945,614 6,439,589 7,540,387 6,641,863.3 11,843,151 12,030,000 13,270,000 12,381,050.0
Kaosiung 6,271,053 6,985,361 7,425,832 6,894,082.0 9,471,056 9,774,670 10,256,829 9,834,185.0
Tianjin 1,018,000 1,300,000 1,708,423 1,342,141.0 4,801,000 5,950,000 7,103,000 5,951,333.3
Port Klang 1,820,018 2,550,419 3,206,753 2,525,730.0 5,715,855 6,326,294 7,090,000 6,377,383.0
Laem Chabang 1,559,112 1,828,460 2,195,024 1,860,865.3 3,765,967 4,123,124 4,641,914 4,177,001.7
Xiamen 645,000 850,000 1,084,700 859,900.0 3,342,300 4,018,700 4,627,000 3,996,000.0
Dalian 475,102 740,000 1,011,000 742,034.0 2,655,000 3,212,000 4,574,192 3,480,397.3
Tokyo 2,168,543 2,695,589 2,899,452 2,587,861.3 3,819,294 3,969,015 4,123,920 3,970,743.0
Jawaharlal nehru 669,108 889,978 1,189,780 916,288. 7 2,666,703 3,298,328 4,059,843 3,341,624.7
Tanjung priok 1,898,069 2,273,303 2,476,152 2,215,841.3 3,281,580* 3,600,000* 3,900,000* 3,593,860.0
Yokohama 2,091,420 2,172,919 2,317,489 2,193,942.7 2,873,277 3,199,883 3,428,112 3,167,090.7
Colombo 1,714,077 1,704,389 1,732,855 1,717,107.0 2,455,297 3,079,132 3,381,693 2,972,040.7
Nagoya 1,458,076 1,566,961 1,911,920 1,645,652.3 2,491,198 2,751,677 2,896,221 2,713,032.0
Manila 1,845,906 2,147,422 2,867,836 2,287,054.7 2,665,015 2,719,585 2,869,447 2,751,349.0
Kobe 2,100,884 2,176,004 2,265,992 2,180,960.0 2,262,066 2,,412,767 2,472,808 2,382,547.0
Osaka 1,155,980 1,250,000 1,474,201 1,293,393.7 2,094,275 2,231,516 2,309,820 2,211,870.3
Keelung 1,704,264 1,666,000 1,954,573 1,774,945.7 2,091,458 2,128,816 2,215,484 2,145,252.7
Yantai 347,000 N/A N/A 347,000.0 819,541 1,779,107 2,214,631 1,604,426.3
Karachi 505,413* 527,473 615,024 549,303.3 1,145,528* 1,107,386 1,219,724 1,157,546.0
Muara 59,238 61,543 26,337 49,039.3 131,430 N/A 151,442 141,436.0
Note:
*

Estimated Data from Containerization International Yearbook

Port input data (available upon request)

Berth length (meter) Terminal area (square meter) Crane capacity (ton)
Year 2000
Singapore 364 955,200 70
exclude general cargo/bulk 275 830,000 35
945 35
233 210
916 280
213 80
Total 2,946 1,785,200 710
Shanghai 640 218,000 35.5
858 337,000 91.5
783 303,000 30
30
35
105
30
30
35
60
Total 2,281 858,000 482
Hong Kong 305 165,000 135
exclude ro-ro 640 300,000 328
1,082 796,000 41
740 919,000 943
3,292 72
164
41
72
Total 6,059 2,180,000 1,796
Busan 350 148,104 121.5
350 148,749 40.6
350 148,750 81.2
350 156,803 120
350 647,566 121.8
1,447 1,038,534 400
1,200 184,230 152.5
500 162.4
284.2
162.4
Total 4,897 2,472,736 1,646.6
Kaosiung 214 105,000 80
204 1,033,000 80
230 35
200 70
320 120
320 35
320 80
320 80
320
320
640
320
320
Total 4,048 1,138,000 580
Tianjin 397 575,000 80
903
Total 1,300 575,000 80
Port Klang 1,079 43,600 140
1,200 160,000 80
1,100 794,000 40
1,200 410,000 35
360
600
360
Total 4,579 1,407,600 1,615
Laem Chabang 1,600 10,000 90
Xiamen 500 400,000 82
70
Total 500 400,000 152
Dalian 300 560,000 61
Tokyo 285 100,000 80
Exclude common use terminal 250 92,000 90
300 111,000 200
300 111,000 60
350 115,000 30
600 222,000 30
285 100,000 40
574 87,000 30
30
80
90
Total 2,944 938,000 760
Jawaharlal nehru 680 471,000 106.5
120
Total 680 471,000 226.5
Tanjung Priok 900 635,351 30
510 225
Total 1,410 635,351 255
Tokohama 600 221,000 30
Include multi/container 250 84,000 40
300 105,000 30
350 175,000 70
350 153,500 61
300 105,000 121.5
300 10,500 121.8
600 221,000 121.8
1,000 206,687 91.5
620 129.751 160.2
480 91.5
100.5
40.6
122
167.5
Total 5,150 1,281,817 1,369.9
Colombo 300 207,000 70
332 55,000 35
330
330
182
150
275
Total 1,899 262,000 105
Nagoya 350 175,000 173.7
800 17,600 48
350 289,000 47.7
300 170,000 95.4
250 225,000 37.5
620 102.2
700 92.2
97.2
48
98.2
46.4
112.6
165
Total 3,370 876,600 1,164.1
Manila 387 940,000 280
Exclude Marine Slipway and all piers 615 850,000 105
582 80
823 50
1,300 142.4
3,707 1,790,000 657.4
300 103,500 40
700 105,000 80
925 125,636 121.5
600 175,000 140
600 244,750 200
300 2,445,000
960
300
300
300
350
700
350
700
350
350
700
Total 8,785 3,198,886 581.5
Osaka 240 116,400 91.5
240 104,152 80
185 105,044 60.1
350 104,610 81.2
350 119,999 91.5
350 120,000 40.6
350 126,000 80
300 99,700
350
350
Total 3,065 895,905 524.9
Keelung 300 339,000 70
1,952 80
120 80
200 35
620 480
105
105
Total 3,192 339,000 955
Yantai 180 30,000 50
Karachi 600 136,220 150
Muara 515 6,070 37
Year 2007
Singapore 900 960,000 120
400 840,000 162.4
275 800,000 150
364 160
2,319 1,260
945 1,200
233 1,015
916
213
Total 6,565 2,600,000 4,067.4
Shanghai 640 218,051 250
857 307,375 350
1,250 1,550,000 732
1,290 1,630,000 80
900 500,000 700
1,635 1,659,822 600
784 304,589 1,100
30
30
35
60
Total 7,356 6,169,837 3,967
Hong Kong 305 167,000 65
740 285,400 120
2,322 926,100 480
3,000 650,320 160
640 300,000 560
3,992 1,110,000 605
1,500
328
41
41
540
180
943
70
160
40
70
Total 10,999 3,438,820 5,903
Busan 700 297,500 283.5
Excluding conventional Pier 203 8,815 60
350 149,000 50.8
1,447 647,425 81.2
350 156,803 406
1,200 810,000 30.5
1,500 1,012,159 121.8
826 308,000 51
500 18,500 121.8
585
162.4
284.2
350
203
Total 7,076 3,408,202 2,791.2
Kaosiung 431 105,000 80
520
684 450,000 70
320 233,187 150
752 633,187 90
917 35
640 250
320 240
320
320
675
815
Total 6,714 1,421,374 915
Tianjin 397 575,000 80
903 429,400 40
1,150 70
195
Total 2,450 1,004,400 385
Port Klang 1,079 436,000 70
534 410,000 80
1,300 890,300 200
2,600 40
115
412.5
1,200
Total 5,513 1,736,300 2,117.5
Laem Chabang 5,600 2,445,800 1,595
300 105,000 120
300 130,000 120
360 180,000 50
400 407,000 120
300 105,000 280
400 174,000 220
120
50
72
121.5
Total 7,660 3,546,800 2,868.5
Xiamen 210 480,000 164
640 70
640
Total 1,490 480,000 234
Dalian 300 560,000 61
1,856 848,000 840
652 255,150 260
Total 2,808 1,663,150 1,161
Tokyo 252 88,361 40
660 259,000 40
250 92,000 160
300 48,000 40
350 81,000 30
350 116,000 30
600 222,000 30
680 27,540 60
574 87,000 80
160
240
90
Total 4,016 1,020,901 1,000
Jawaharlal nehru 680 388,400 302
600 300,000 180
160
Total 1,280 688,400 642
Tanjung priok 2,338 1,280,000 30
450 306,000 225
404 70,000 120
170
150
160
Total 3,192 1,656,000 855
Yokohama 250 84,000 61
including multi/container 350 175,000 121.8
350 153,500 121.8
300 105,000 121.8
300 105,000 121.8
700 350,000 325
200 106,000 91.5
250 490,000 67
1,390 206,687 83.5
620 136,069 40.6
480 178
240 122
67
Total 5,430 1,911,256 1,522.8
Colombo 940 250,000 240
300 207,000 120
332 15,300 246
330 284
330 123
150
182
390
200
Total 3,154 472,300 1,013
Nagoya 400 88,000 95.4
735 359,240 48
350 289,000 173.7
300 170,000 116.8
250 237,000 58.6
620 225,000 110.2
400 106.2
700 110.2
48
98.2
46.4
112.6
165
Total 3,755 1,368,240 1,289.3
Manila 1,300 822,200 280
excluding Pier 2,4,6,8,10,12,14,16 859 850,000 105
1,397 120
36
122.4
Total 3,556 1,672,200 663.4
Kobe 300 78,653 98.4
including heavy-life/container berth 240 26,400 47.1
130 26,600 111
350 55,393 44
555 38,850 55
600 107,169 54
960 67,368 46.5
350 117,000 55
350 134,300 93.8
350 251,090 120
350 251,090 120
350 367,500 200
350 245,000 200
350 160
350 80
350 200
350
350
Total 6,985 1,766,413 1,684.8
Osaka 240 160,400 122
240 104,152 80
185 175,000 81.2
350 175,000 81.2
350 105,044 61
350 104,610 81.2
350 119,999 40
350 120,000 61
350 126,062 122
300 113,500 40.6
300 80
350 80
350
Total 4,065 1,303,767 930.2
Keelung 300 339,000 70
200 80
620 80
120 35
1,952 480
105
105
Total 3,192 339,000 955
Yantai 500 30,000 81
608 440,000 110
573 220
Total 1,681 470,000 411
Karachi 600 210,000 200
600 136,000 164
Total 1,200 346,000 364
Muara
excluding multi-purpose berth
250 98,000 80

Note

1.

The main purpose of using a three-year average of port throughput to measure output is to reduce the noise in the output data caused by external shocks. Port input variables (e.g. berth length, terminal areas and crane capacity as we used in the study), on the other hand, are less subject to external shocks. Hence, we simply use the raw data of year 2000 and 2007, instead of three-year averages.

Appendix 1

Table AI

Appendix 2

Table AII

References

Abbot, M. and Wu, S. (2002), “Total factor productivity and efficiency of Australian airports”, The Australian Economic Review, Vol. 35 No. 3, pp. 244-260.

Barros, C. (2005), “Decomposing growth in Portuguese seaports: a frontier cost approach”, Maritime Economics and Logistics, Vol. 7, pp. 297-315.

Choen, S., Dowall, D.E. and Song, D.W. (2009), “Evaluating impacts of institutional reforms on port efficiency changes: ownership, corporate structure, and total factor productivity changes of world container ports”, Transportation Research Part E, Vol. 46 No. 4, pp. 546-561.

Choy, P.W.C., Yip, T.L., Pang, K. and Lee, E. (2016), “A study of the critical success factors of international ship finance centre”, Maritime Business Review, Vol. 1 No. 1, pp. 50-54.

Coto-Millan, P., Banso-Pino, J. and Rodriguez-Alvarez, A. (2000), “Economic efficiency in Spanish ports: some empirical evidence”, Maritime Policy and Management, Vol. 27 No. 2, pp. 169-174.

Cullinane, K.P.B. and Song, D.W. (2003), “A stochastic frontier model of the productive efficiency of Korean container terminals”, Applied Economics, Vol. 35 No. 3, pp. 251-267.

Cullinane, K.P.B. and Song, D.W. (2006), “Estimating the relative efficiency of European container ports: a stochastic frontier analysis”, in Cullinane, K. and Talley, W.K. (Eds), Research in Transportation Economics Vol 16 Port Economics, Elsevier, Amsterdam.

Cullinane, K.P.B., Ji, P. and Wang, T.F. (2005), “The relationship between privatization and DEA estimates of efficiency in the container port industry”, Journal of Economics and Business, Vol. 57 No. 5, pp. 433-462.

Cullinane, K.P.B., Song, D.W. and Gray, R. (2002), “A stochastic frontier model of the efficiency of major container terminals in Asia: accessing the influence of administrative and ownership structures”, Transportation Research Part A, Vol. 36, pp. 743-762.

Ding, Z.Y., Jo, G.S., Wang, Y. and Yeo, G.T. (2015), “The relative efficiency of container terminals in small and medium-sized ports in China”, The Asian Journal of Shipping and Logistics, Vol. 31 No. 2, pp. 231-251.

Estache, A., Fe, B.T. and Trujillo, L. (2004), “Sources of efficiency gains in port reform: a DEA decomposition of malmquist TFP index for Mexico”, Utilities Policy, Vol. 12 No. 4, pp. 221-230.

Estache, A., Gonzalez, M. and Trujillo, L. (2002), “Efficiency gains from port reform and the potential for yardstick competition: lessons from Mexico”, World Development, Vol. 30 No. 4, pp. 545-560.

Gosasang, V., Yip, T.L. and Chandraprakaikul, W. (2018), “Long-term container throughput forecast and equipment planning: the case of Bangkok port”, Maritime Business Review, Vol. 3 No. 1, pp. 53-69.

Grilo, A. and Santos, J. (2015), “Measuring efficiency and productivity growth of new technology-based firms in business incubators: the Portuguese case study of Madan Parque”, The Scientific World Journal, Vol. 1, pp. 1-11.

Grinter, M. (2018), “Decline in throughput at Hong Kong port deepens”, The Hong Kong Maritime Hub, available at: www.hongkongmaritimehub.com/decline-in-throughput-at-hong-kong-port-deepens/ (accessed 4 December 2018).

Heaver, S. (2017), “Why Hong Kong’s container port may be in terminal decline, and what that would mean for a city that appears not to care”, South China Moring Post, available at: www.scmp.com/lifestyle/article/2075804/why-hong-kongs-container-port-may-be-terminal-decline-and-what-would-mean (accessed 4 December 2018).

Hjalmarsson, L. and Veiderpass, A. (1992), “Productivity in Swedish electric retail distribution”, Scandinavian Journal of Economics, Vol. 94, pp. 193-205.

Le-Griffin, H.D. and Murphy, M. (2006), “Container terminal productivity: experiences at the ports of Los Angeles and long beach”, available at: http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=36D30BA555FDF80656041FA061D99B24?doi=10.1.1.410.615&rep=rep1&type=pdf (accessed 19 October 2018).

Liu, Q. (2010), “Efficiency analysis of container ports and terminals”, available at: http://discovery.ucl.ac.uk/19215/1/19215.pdf (accessed 12 October 2018).

Liu, Z. (1995), “The comparative performance of public and private enterprises: the case of British ports”, Journal of Transport Economics and Policy, Vol. 29 No. 3, pp. 263-274.

Liu, B.L., Liu, W.L. and and Cheng, C.P. (2006), “Efficiency analysis of container terminals in China: an application of DEA approach”, Working paper, Institute of Transportation Economics, Nankai University.

Martínez-Budría, E., Díaz, R., Navarro, M. and Ravelo, T. (1999), “A study of the efficiency of Spanish port authorities using data envelopment analysis”, International Journal of Transport Economics, Vol. 2, pp. 237-253.

Merkel, A. (2018), “Competitive intensity and inefficiency in European container ports: an empirical investigation using SFA”, Maritime Business Review, Vol. 3 No. 2, pp. 165-184.

Nguyen, H.O., Nguyen, H.V., Chang, Y.T., Chin, A.T.H. and Tongzon, J. (2016), “Measuring port efficiency using bootstrapped DEA: the case of vietnamese ports”, Maritime Policy and Management, Vol. 43 No. 5, pp. 644-659.

Notteboom, T., Coeck, C. and van den Broeck, J. (2000), “Measuring and explaining the relative efficiency of container terminals by means of Bayesian stochastic frontier models”, International Journal of Maritime Economics, Vol. 2 No. 2, pp. 83-106.

Nishimizu, M. and Page, J. (1982), “Total factor productivity growth, technological progress and technical efficiency change: dimensions of productivity change in Yugoslavia, 1965-1978”, Economic Journal, Vol. 92 No. 368, pp. 920-936.

Panayides, P.M., Maxoulis, C.N., Wang, T.F. and Ng, K. (2009), “A critical analysis of DEA applications to seaport economic efficiency measurement”, Transport Reviews, Vol. 29 No. 2, pp. 183-206.

Price, C.W. and Weyman-Jones, T. (1996), “Malmquist indices of productivity change in the UK gas industry before and after privatization”, Applied Economics, Vol. 28 No. 1, pp. 29-39.

Rodriguez-Alvarez, A., Tovar, B. and Trujillo, L. (2007), “Firm and time varying technical and allocative efficiency: an application to port cargo handling firms”, International Journal of Production Economics, Vol. 109, pp. 149-161.

Roll, Y. and Hayuth, Y. (1993), “Port performance comparison applying data envelopment analysis (DEA)”, Maritime Policy and Management, Vol. 20 No. 2, pp. 153-161.

Song, B.B. and Cui, Y.Y. (2014), “Productivity changes in Chinese container terminals 2006-2011”, Transport Policy, Vol. 35, pp. 377-384.

Sun, X., Yan, Y. and Liu, J. (2006), “Econometric analysis of technical efficiency of global container operators”, Proceedings of the 11th International Conference of Hong Kong Society for Transportation Studies: Sustainable Transportation, Hong Kong, pp. 667-676.

Tongzon, J. (2001), “Efficiency measurement of selected Australian and other international ports using data envelopment analysis”, Transportation Research Part A, Vol. 35 No. 2, pp. 113-128.

Tongzon, J. and Heng, W. (2005), “Port privatization, efficiency and competitiveness: some empirical evidence from container ports (Terminals)”, Transportation Research Part A, Vol. 39, pp. 405-424.

Valentine, V.F. and Gray, R. (2001), “The measurement of port efficiency using data envelopment analysis”, Proceedings of the 9th World Conference on Transport Research, Seoul.

Yip, T.L., Sun, X.Y. and Liu, J.J. (2011), “Group and individual heterogeneity in a stochastic frontier model: container terminal operators”, European Journal of Operational Research, Vol. 213 No. 3, pp. 517-525.

Corresponding author

Xiyi Yang can be contacted at: yangxy@shanghaitech.edu.cn

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