Abstract
We provide the first empirical study analyzing the effect of international trade on economy-wide eco-efficiency performances based on the emerging and developing economies. We extend the slack-based measure (SBM) model in Tone (Tone, 2004). Dealing with undesirable outputs in DEA: A slacks-based measure (SBM) approach. In: Presentation at NAPW III, Toront.) to the time-dependent conditional SBM model. The extended model proposed in this study considers the influences of exogenous variables and time, thereby circumventing the problem of biased estimates due to the assumption of a “separability” condition. Based on the comparison of conditional and unconditional eco-efficiency index (EEI) scores of 71 developing countries, we find that the improved conditional SBM model can more accurately measure the level of eco-efficiency. The nonparametric significance test and the location-scale test techniques are then employed to investigate the non-linear relationship between international trade and eco-efficiency performance. We find a U-shaped relationship between international trade and eco-efficiency performances of the emerging and developing economies, indicating that international trade had a negative effect on eco-efficiency performance when it was in the initial stage of development, while the effect becomes positive after international trade has reached a certain level. The policy implications for how to coordinate the relationship between trade openness, economic development, and ecological protection in developing countries are discussed in this article.
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Notes
It means that covariates (environmental variables) do not affect the production process (input and output variables). Simar and Wilson (2007, 2011) show that the traditional two-stage approach estimates efficiency scores using input and output variables while ignoring covariates, and then regresses the estimated scores against covariates, is not well-defined and unmeaningful if the separability condition does not hold.
Eco-efficiency is achieved through the delivery of “competitively-priced goods and services that satisfy human needs and bring quality of life, while progressively reducing environmental impacts and resource intensity throughout the life cycle, to a level at least in line with the earth’s estimated carrying capacity.”.
It is a little different from Halkos and Tzeremes (2014) in which the joint probability of \((X,Y,B)\) conditional on Z = z defined as \(H_{XYB|Z} (x,y,b|z) = prob(X \le x,Y \ge y,B \ge b|Z = z)\). It can be seen that the definition of Halkos and Tzeremes (2014) deviates from the principle that the less undesirable outputs are generated, more efficient the production is.
Regarding the selection of the bandwidth, Bădin et al. (2010) and De Witte and Kortelainen (2009) adapt the data-driven approach based on the least squares cross-validation (LSCV) method (Hall et al.,2004; Li and Racine, 2007) to estimate the best bandwidths. In our empirical study, we adapt the R codes kindly provided by Prof. De Witte to calculate the best bandwidths. We greatly appreciate Prof. De Witte for sharing their R codes.
That is to say, the local coefficients of the explanatory variables are equal to zero almost everywhere. More technical details may be found in De Witte and Kortelainen (2009).
The estimation can be easily conducted by the R package “np” which is developed by Hayfield and Racine (2008).
More technical details can be found in De Witte and Kortelainen (2009).
Data on GDP have been converted into the constant price level in 2005 using the GDP deflator index. Data on capital stock are estimated by the Perpetual Inventory Method (PIM), i.e., \(K_{t} = (1 - \delta )K_{t - 1} + I_{t}\) where \(\delta\) is the depreciation rate, and It is the investment measured in the constant price. The investment price index is used to deflate the nominal investment data. More details can be found in Inklaar and Timmer (2013).
The developing countries involved in this study are mainly determined by data availability. Additionally, countries that are primarily oil producers are omitted from the sample.
It is worth pointing out that at a very early stage of opening trade (the ratio of international trade to GDP is less than 14.9%), it seems that international trade would improve eco-efficiency. However, the number of observations in this regime are quite few, accounting for about 1% of the whole sample. Thus, the relationship between international trade and eco-efficiency is dominated by the U shape.
About 57.6% of observations lie in this regime.
In literature, the stochastic frontier methods are generally integrated with production/cost functions, Shepard distance function, directional distance function. The application of the stochastic frontier methods in non-radial and non-directional measures is relatively rare in literature.
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Acknowledgements
We acknowledge the funding support from the National Natural Science Foundation of China (Nos. 72074184, 71772065), Shanghai Science and Technology Plan Project (22692110000, 21692107200), and the Fundamental Research Funds for the Central Universities at East China Normal University (Grand Nos. 2021ECNU-YYJ026, 2021QKT007) and the Fundamental Research Funds for the Central Universities at Xiamen University (Grand No. 20720201016).
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Du, K., Ouyang, X. & Sun, Y. Does international trade contribute to eco-efficiency performance improvement? Evidence from the emerging and developing economies. Energy Efficiency 15, 60 (2022). https://doi.org/10.1007/s12053-022-10067-4
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DOI: https://doi.org/10.1007/s12053-022-10067-4