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RCA indices, multinational production and the Ricardian trade model

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Abstract

The practice of using Revealed Comparative Advantage (RCA) Indices to determine the flow of goods trade among countries is well established. But an important issue that demands attention is whether the RCA indices reflect the essentials of comparative advantage theory. Deb and Basu Foreign Trade Rev 46(3):3–28, (2011) examined the consistency of alternative RCA indices with the Heckscher-Ohlin theory of comparative advantage, leaving scope for re-examination of the indices in the context of the Ricardian comparative advantage theory, which insists on relative factor productivity differences among countries contrary to Heckscher-Ohlin’s relative factor endowment differences. The other issue which has been overlooked in much of the existing literature is the importance of value-added trade. With the growing importance of global production chains, RCA indices based on gross export values may not portray an accurate picture of the underlying comparative advantage of countries. In this context, adjusting the RCA indices to incorporate domestic value-added in exports seems to be quite relevant. This paper explores the consistency of RCA indices based on domestic value-added in exports with the Ricardian theory of comparative advantage using a panel data approach. A brief review on the structures of alternative RCA indices is also provided. The Log-of-Balassa index is found to be the best performer in this empirical examination, although the deficiencies of the index for cross-country or cross-commodity comparison must be acknowledged. The index of Yu et al. Ann Reg Sci 43(1):267–282, (2009) does possess the latter feature but in our study its performance is quite poor and hence its consistency with the Ricardian theory of comparative advantage is questionable.

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Notes

  1. In a theoretical study, Hillman (1980) explored the relation between Balassa’s RCA index values and comparative advantage as indicated by the pre-trade relative prices and failed to establish their one to one correspondence under all circumstances. His idea has been extended by Bebek (2011) in the context of other export based RCA indices.

  2. An earlier version of this article looked at the possibility of incorporating imports and exports into our RCA indices. Theoretically, using net exports rather than gross exports as the basis of a measure of comparative advantage might be desirable in sectors with large amounts of intra-industry trade and re-exports. However, converting all of our indices was difficult given that some of our indices are in ratio form, while others are in deviation form, forcing us to adopt the approach of Vollrath (1991) regarding the incorporation of imports in the indices. Furthermore, our studies in this area yielded little real impact on our primary results.

  3. This move was primarily aimed at ensuring the reliability of the corresponding regression estimates.

  4. The concept of Galtonian regression was first adopted by Hart and Prais (1956) from Galton’s (1889) methodology while studying the heights of fathers and sons and analyzing size wise concentration. Since then, the Galtonian regression method has been extensively employed in the literature to examine technological specialization patterns (Cantwell 1989), convergence of productivity levels over time (Hart 1995) and changes in the structure of trade specialization using RCA indices (Dalum et al. 1998; Laursen 1998; Frantzen 2008; Sharma and Dietrich 2007; Sanidas and Shin 2010, 2011).

  5. A distribution with an unstable mean across sectors with respect to a country, has two consequences for comparability – (1) If a country gains a comparative advantage in one sector, it is impossible to say for certain that it has lost a comparative advantage in some other sector. Hence cross-sectoral comparison becomes difficult. (2) The same sectoral value of the index may have a different meaning for different countries, which leads to difficulty in comparing country index values for that particular sector. Hence, ranking countries by RCA for a sector would not be reliable. Similar problems would exist in case of a distribution with an unstable mean across countries with respect to a sector.

  6. End use categorization classifies goods as intermediate goods, final consumption goods and capital goods.

  7. The recent change in global merchandise trade could be explained by several factors. The first explanation is, a higher rate of reduction in tariffs and other trade costs on intermediate products compared to final products over the last 20 years, has contributed to greater movement of parts and components all over the world (Miroudot et al. 2009). Second, the growth of foreign direct investment (FDI) boosted the trade in intermediate products (Miroudot et al. 2009). Third, induced by the first and second factors, intra-firm trade has increased and has contributed to increased intermediate goods trade (Yi 2003). Finally, domestic market oriented reforms by countries like China have enabled other countries and multinational enterprises to involve China in their global production network (Meng et al. 2012, 4).

  8. Goods with similar factor intensity are characterized by excellent substitution possibilities. Moreover, as inherent in the intra-industry trade literature, with number of goods being substantially large relative to the number of factors, it is possible to expand the production of some goods at the expense of others without raising the marginal opportunity costs. Both these characteristics of intra-industry trade underline the essence of Ricardian determinants of trade such that with linear transformation curves, trade could take place on the basis of technical differences (Davis 1995).

  9. This formulation however differs to some extent from the domestic value-added concept of Koopman et al. (2012) represented by expression (8). They basically enquire about how much of the domestic content from various sectors could be found in a country’s final exports of a product. But in order to determine the comparative advantage of a country in a sector, one should enquire about that sector’s domestic content in exports of various products from a country.

  10. In principle, what matters for the determination of comparative advantage is the marginal product of labour (MPL), rather than the APL. However, data limitations prevent us from directly observing the marginal product, even though the APL and MPL will not generally be the same. However, for our purposes, it is sufficient that these measures should be highly correlated with each other. We believe this to be a reasonable assumption if comparative advantage is driven primarily by differences in factor productivity across countries (as in the Ricardian model) rather than factor accumulation (as in the traditional Heckscher-Ohlin model, which does not perform well empirically unless augmented by differences in factor productivity). We note in the conclusion below that creating a better MPL measurement would be a desirable area for future research.

  11. Country fixed effects take care of the fact that different countries may have different time invariant features which need to be estimated separately, so that we could factor out the effects that these country specific characteristics may have on the relationship between RCA index and productivity ratio. Similarly, year fixed effects factor out the variations across years for reasons such as technological changes, wars, conflicts etc., and country-year fixed effects to take care of country specific characteristics varying over time. In addition, the random effects component allows for the fact that for each sector in any particular country, the residual term would be correlated across years (country-sector is defined to be the cross sectional unit for the panel).

  12. ISIC stands for International Standard for Industrial Classification of all Economic Activities

  13. This had to be done because the input–output matrices are based on GTAP database. Due to the difficulty in matching the commodity classification of GTAP with the ISIC codes, Nicita and Olarreaga (2007) could provide a rough classification of sectors on the basis of ISIC codes in the input–output tables of Trade Production and Protection database. We use the 17 sectors from their classification and simultaneously adjust the data on exports, value added and number of employees to match those 17 sectors. While more finely disaggregated data on imports and exports are available (for example at the HS 4-digit or 8-digit levels), we cannot easily match these data to the “domestic” data on production, value added, and input–output matrices. The study is thus constrained by the non-availability of detailed disaggregated data on the relevant variables. The input–output coefficient matrices required for the adjustment of gross exports figures for the domestic value-added in export figures are provided by the TPP database only for 3 digit ISIC codes. Other sources of such data e.g., World Input Output Database, IDE-JETRO, and GTAP report data at highly aggregated sectoral classifications and matching their commodity classification into more disaggregated international sectoral classifications might not be feasible. However, at higher levels of industry aggregation, intra-industry trade might be observed while inter-industry trade is occurring. A country might be exporting a product classified under one 4 digit ISIC code while importing another product classified under a different 4 digit ISIC code, but under the same 3 digit sectoral classification. It would appear to be engaged in inter-industry trade when considering the 4 digit classifications but intra-industry trade when considering the corresponding 3 digit classification. Hence, the finer the sectoral classification, the more likely that inter-industry trade would be observed and would perhaps provide a more relevant framework for analyzing the Ricardian model of inter-industry trade. The non-availability of required input–output matrices on the basis of more disaggregated sectoral classifications is thus a major constraint in analyzing the Ricardian model.

  14. We do not report the estimated coefficients of fixed effects due to space constraints. However, these results are available on request.

  15. In practice, this means that we no longer subscript our variables with sectors, as a variables in a given regression are from the same sector. Also, we no longer use country-year fixed effects, but rather just year fixed effects.

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Deb, K., Hauk, W.R. RCA indices, multinational production and the Ricardian trade model. Int Econ Econ Policy 14, 1–25 (2017). https://doi.org/10.1007/s10368-015-0317-z

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