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Sorting It Out: Technical Barriers to Trade and Industry Productivity

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Abstract

Trade economists traditionally study the effect of lower variable trade costs. While increasingly important politically, technical barriers to trade (TBTs) have received less attention. Viewing TBTs as fixed regulatory costs related to the entry into export markets, we use a model with heterogeneous firms, trade in differentiated goods, and variable external economies of scale to sort out the rich interactions between TBT reform, input diversity, firm-level productivity, and aggregate productivity. We calibrate the model for 14 industries in order to clarify the theoretical ambiguities. Overall, our results tend to suggest beneficial effects of TBT reform but also reveal interesting sectoral variation.

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Notes

  1. Egger and Kreickemeier (2009), Baldwin and Forslid (2006), Helpman et al. (2004), etc.

  2. Note that this exercise does not describe mutual recognition, since then importers would not face any regulatory costs at all.

  3. The generalization is already discussed in the working paper version of the Dixit and Stiglitz (1977) paper and has been revived by Benassy (1996). Variants of it have been adopted by Blanchard and Giavazzi (2003), Egger and Kreickemeier (2009), Corsetti et al. (2007), or Felbermayr and Prat (2007).

  4. This is possible because, in equilibrium, each input is produced by one firm only and the distribution of φ is assumed to have no mass points.

  5. This assumption is not necessary for many properties of the model; see Melitz (2003). However, it allows to understand the importance of industry dispersion to sort out the potentially ambiguous effects of various forms of trade liberalization on industry productivity.

  6. The assumption γ h  > σ h  − 1 makes sure that the equilibrium sales distribution converges.

  7. See Melitz (2003), p. 1700.

  8. This is the ideal measure of industry productivity. Gibson (2006) points out that productivity effects induced by Melitz (2003)-type reallocation of market shares within industries are not reflected by data-based measures of productivities, (e.g., value added per worker).

  9. If η h  = 1, Eq. 9 is formally equivalent to the expression describing total welfare in Melitz (2003).

  10. Derivations of analytical results are detailed in the working paper version of this article; see Felbermayr and Jung (2008).

  11. See, e.g., Baldwin and Forslid (2006).

  12. Noting that Eq. 13 relates \(p_{h}^{x}\) to exogenous variables.

  13. Note that harmonization of standards need not be a TBT reform if regulatory costs increase for foreign firms.

  14. Figure 2 in Melitz (2003) which studies the reallocation of market shares as an economy moves from autarky to trade. Our Fig. 1 is similar, but studies incremental trade liberalization.

  15. Recall that changes in the regulatory component directly translate into changes in total market access costs, i.e. \(\hat{f}_{h}^{d}=\widehat{\tilde{f }}_{h}^{d}\).

  16. This result holds for all productivity distributions.

  17. A similar explanation has been put forward by Baldwin and Forslid (2006).

  18. T h  > ( < ) 1 is a necessary condition for input diversity to decrease (rise), whereas for average productivity to increase (drop) it is a sufficient condition. The necessary condition would be less strict and depend on the skewness of the productivity distribution.

  19. Total sales abroad are given by \(X_{h}^{cif}=nM_{h}^{x}r^{x}\left( \tilde{ \varphi}_{h}^{x}\right)\). Recall that \(M_{h}^{x}=p_{h}^{x}M_{h}^{d}\). Using Eqs. 4, 17 and 18 one finds that \(X_{h}^{cif}=L_{h}np_{h}^{x}T_{h}/\left( 1+np_{h}^{x}T_{h}\right) ,\) and \(\partial X_{h}^{cif}/\partial T_{h}<0.\)

  20. For detailed information on the calibration of the degree of external economies of scale, \( \eta _{h}/\left( \sigma _{h}-1\right) \), and the level of competitive disadvantage of importers, T h , see the Appendix.

  21. In the present model, this is a natural assumption since countries are symmetric.

  22. It may be feasible to reduce beyond harmonization and eliminate \( \tilde{f_{h}^{x}}\) such that T h goes below unity. However, since we have no data on the components of \(f_{h}^{d}\) and \(f_{h}^{x},\) we cannot calibrate the lowest feasible level of \(\bar{f}_{h}^{d}.\) Also note that our numerical analysis does not require calibration of \(f_{h}^{e}\) or δ h since those parameters drop out when comparing equilibrium outcomes at T h  = 1 to those obtained under the benchmark calibration.

  23. The welfare-theoretic results obtained by Benassy (1996) for arbitrary η h and homogeneous firms continue to hold in the presence of productivity heterogeneity.

  24. Results may differ from a local analysis due to non-linearities.

  25. From a social planner’s perspective, there is over-supply of varieties also under \(T_{h}^{\ast }\) as η h  < 1. However, even if Δ%M h  > 0, the over-supply of varieties relative to the planner’s solution is smaller for \(T_{h}^{\ast }\) than for T h .

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Acknowledgements

We are grateful to the editor and an anonymous referee, to Daniel Bernhofen, Peter Egger, David Greenaway, David Hummels, Wilhelm Kohler, Julien Prat, Davide Sala, Zhihong Yu, and seminar participants at the OeNB Workshop 2007 on International Trade and Domestic Growth in Vienna, the 1st FIW research workshop in Vienna, the 7th GEP Annual Postgraduate Conference, the Spring 2008 Midwest International Economics Meeting, and at seminars at the universities of Leicester, Nottingham, and Tübingen for comments and discussion. All remaining errors are ours.

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Correspondence to Gabriel J. Felbermayr.

Appendix

Appendix

Variable trade costs, τ h , come from Hanson and Xiang (2004). The parameter η h is taken from Ardelean (2007). T h is calibrated to meet export participation rate \(p^x_h\) from Eaton et al. (2004), and n is calibrated to meet openness of 40%. Elasticities of substitution, σ h , are imputed from shape parameters estimated by Corcos et al. (2007), and sales dispersion measures from Helpman et al. (2004).

Table 2 shows how we map industry classifications. If two categories of the source classification fall into one class of our classification, we compute means across source classifications, in case of more than two, we use medians across source classifications. Table 3 reports the estimates we take from the literature and the calibrated parameters.

Table 2 Industry concordance
Table 3 Parameter description: estimates from the literature and calibrated values

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Felbermayr, G.J., Jung, B. Sorting It Out: Technical Barriers to Trade and Industry Productivity. Open Econ Rev 22, 93–117 (2011). https://doi.org/10.1007/s11079-009-9114-z

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