1 Services in Developing Economies: The deindustrialization debate in perspective1 Gisela Di Meglio*, Jorge Gallego**, Andrés Maroto**, Maria Savona*** * Department of Economic Analysis II and ICAE. Universidad Complutense de Madrid. Corresponding author. E-mail: gdimeglio@ccee.ucm.es ** Department of Economic Analysis. Universidad Autónoma de Madrid. *** Science Policy Research Unit. University of Sussex. ABSTRACT The article adds to the debate around the ‘premature deindustrialization’ of developing countries by analyzing the contribution of services to aggregate productivity and output growth within a Kaldorian framework. We revisit Kaldor´s Growth Laws (KGL) and empirically test them for a number of economic activities, including four service branches, across twenty-nine developing economies in Asia, Latin-America and Sub- Saharan Africa over three decades (1975-2005). Panel data estimations are complemented by a shift-share decomposition of labour productivity growth. We find support to the Kaldorian argument for both manufacturing and business services contribution to aggregate productivity growth. Conversely, other services slow down aggregate productivity and output growth. We suggest qualifying and repositioning the debate on premature deindustrialization within a broader reflection on the opportunities for development linked to structural change. We claim that these opportunities might include not only manufacturing sectors but also business services. INTRODUCTION AND BACKGROUND The role of structural change has been core to theories of economic development for several decades now. The structure of an economy matters for growth performance and development since sectors have different capabilities to achieve and to induce productivity gains, as well as to benefit from domestic and foreign demand growth 1 The final version of this paper is published in Development and Change, 2018, 49 (6). pp. 1495-1525. ISSN 0012- 155X. DOI: 10.1111/dech.12444. © 2018 International Institute of Social Studies. 2 (Cimoli et al., 2009; Thirlwall, 2013). Processes of structural transformation have been heterogeneous both across and within developing countries (Bah, 2011), leading to different contributions to economic performance (MacMillan and Rodrik, 2011). A renewed interest in the relationship between structural change and development has recently been emerging, particularly at a time when deindustrialization is occurring at low levels of per capita income in developing countries, unlike the path that has historically characterized developed countries (Bah, 2011; Rodrik, 2016; Di Meglio, 2017). Concerns of a ‘premature deindustrialization’ of developing countries (Dasgupta and Singh, 2005, 2006; Palma, 2005; Felipe et al., 2015; Rodrik, 2016) are consistent with a revamped debate on the role of industrial policy (Stiglitz and Lin, 2013; Storm, 2015) and the recent plea for countries to ‘reindustrialize’ (Ciarli and Di Maio, 2014; Tregenna, 2011; Westkämper, 2014). Much of the scholarship nurturing concerns around premature deindustrialization implicitly assumes the seminal Kaldorian stylized facts, which depict the manufacturing sector as the main driver of labour productivity performance, growth and, ultimately, economic development (Kaldor, 1966; 1967; Thirlwall, 1983). The so-called Kaldor´s Growth Laws (henceforth, KGL) propose that industrialization induces growth of the output per worker as a result of two main mechanisms. First, productivity in manufacturing rises with the growth of manufacturing output due to the presence of increasing returns to scale (IRS) at the sectoral level. Second, output growth in manufacturing is shown to positively affect the rate of productivity growth in other sectors. Over time, several other studies have examined and confirmed the interpretation and the validity of the different KGL from a variety of perspectives. The evidence abounds on developed economies.2 However, it remains fairly fragmented on developing countries. The fundamental role played by manufacturing as a source of growth in developing countries is shown, among others, by Felipe (1998) across five Southeast Asian countries, by Cimoli et al., (2005) and Libanio (2006) across five and seven Latin- American economies, respectively, and by Pacheco and Thirwall (2014) for eighty-nine developing economies. However, given the traditional picture of services as a structural 2 See Romero (2016) for a review. 3 burden for economies, the literature has mostly overlooked non-manufacturing sectors (Ocampo, 2005), whilst the few studies that focus on services mainly account for the aggregate sector. In this respect, Dasgupta and Singh (2005; 2006) have pioneered the argument that, although manufacturing continues to be critical for development, services can also be regarded as an additional engine of growth. In the same vein, Felipe et al. (2009) argued that in the case of Asia, notwithstanding the heterogeneity of the productive structure within this macro-region, services can also have productivity- growth inducing effects through the exploitations of scale economies. The cross-sector performance of services is heterogeneous. Some service sectors, particularly knowledge-intensive and other business-related services,3 have challenged the ‘old myths’ of services as a structural burden (Gallouj and Savona, 2008) and have turned into important sources of productivity growth also in developing countries (Timmer and de Vries, 2007; 2009). Therefore, country-level processes of deindustrialization should be assessed by distinguishing the roles that different service branches may have in the economy. The aim of this article is to add to the recent debate on premature deindustrialization of developing countries, particularly to reposition the debate within a broader reflection on the opportunities for development linked to structural change. To do so, we build upon and extend the Kaldorian framework to include a number of service branches. The novelty of the empirical strategy is two-fold: first, we implement econometric tests of the KGL on a number of industries, including four service sub-sectors, across twenty- nine developing countries from Asia, Latin-America and Sub-Saharan Africa over the last three decades (1975-2005). To our knowledge, no study has previously tested the validity of the Kaldorian stylized facts for services at this level of disaggregation. Second, panel data estimations are complemented with a decomposition of labour productivity growth, by means of a shift-share analysis, in order to study how resource (labour) reallocation during the process of structural change has affected economic and labour productivity growth.4 Overall, this research also fills a gap in the current 3 Knowledge-intensive services usually include: Computer and related activities (K72 ISIC code), Research and Development (K73), and Other business activities (K74) such as engineering, technical consultancy, legal aid and other business services. 4 Our research interest lies exclusively on studying changes in the reallocation of labour across sectors. However, we are aware that structural change is a much broader concept encompassing many other transformations taking place in the economy, e.g.: in savings and investments rates, in urbanisation, in institutions, etc. (Matsuyama, 2009). 4 literature by revisiting the three KGL for agriculture, manufacturing, services and examining the role played by different service sub-sectors in economic performance across Asian, Latin America and African developing countries. We find support to the Kaldorian argument for manufacturing sectors across all the macro-regions object of our analysis. We also find robust empirical support of it for the branch of business services. However, other services including personal and informal ones represent a structural burden for aggregate productivity and output growth. Importantly, we qualify the heterogeneous patterns of structural change that have characterized the different macro-areas and have explained their heterogeneous economic performance. The manuscript is structured as follows. Section 2 revisits the classical Kaldorian framework. Section 3 presents the data and the empirical strategy. Section 4 discusses the econometric results. Section 5 summarizes the main findings, and Section 6 concludes by identifying priorities for future research agenda. THE KALDORIAN FRAMEWORK In his seminal contributions, Nicholas Kaldor (1966, 1967) attempts to explain large growth rates differences across 12 OECD countries during 1953-1964 by adopting a sectoral approach where dualisms à la Lewis (Lewis, 1954) can be found.5 Kaldor argues that both the production and demand characteristics of each aggregate sector of the economy (agriculture, industry and services) matter for economic growth. In particular, the capital-intensive manufacturing sector shows greater potential for productivity growth than other sectors due to the presence of both static and dynamic economies of scale. Accordingly, the reallocation of labour from activities subject to diminishing returns of scale (i.e., agriculture) to more productive sectors (i.e., manufacturing) fosters productivity growth in both sectors and overall output expansion. Manufacturing also has greater potential than other sectors for releasing balance of payment constraints due to the higher tradability of manufactured products. Therefore, external demand growth of such products may spark a virtuous circle of 5 For a review on Kaldor’s contributions to development economics see Targetti (2005). 5 cumulative growth (Dixon and Thirlwall, 1975; Kaldor, 1970). Within this framework, Kaldor articulates a set of long-run relationships or empirical generalizations of growth of output, employment, and productivity at the sectoral level of the economy, which later became known as the Kaldor's Growth Laws (KGL). The first law states that the faster the growth of manufacturing output (𝑞 ) in an economy, the faster the growth of gross domestic product (𝑞 ). Kaldor fundamentally defines a causal relationship running from sectoral to aggregate growth and more precisely from manufacturing growth to the growth rate of GDP per worker (Ros, 2000) as shown in Kaldor´s second and third law. The first law can be posited then as: 𝑞 = 𝑓 (𝑞 ) 𝑓′ > 0 According to Thirlwall (2013), there are two additional regressions that overcome the problem of spurious correlation that is evidently present in the former specification6: 𝑞 = 𝑓 (𝑞 − 𝑞 ) 𝑓′ > 0 𝑞 = 𝑓 (𝑞 ) 𝑓′ > 0 In the first equation the growth of GDP (𝑞 ) is regressed on the excess of the growth of manufacturing production (𝑞 ) relative to the growth on non-manufacturing production (𝑞 ). In the second equation the growth of non-manufacturing output is regressed on the growth of manufacturing output, the estimated coefficient indicating the strength and size of the impact of manufacturing sector growth on the rest of the economy. Accordingly, the linear specifications for examining Kaldor´s First Law at sectoral level are: 𝑞 = 𝛼 + 𝛽 𝑞 + 𝜀 (Equation I-A) 𝑞 = 𝛼 + 𝛽 (𝑞 − 𝑞 ) + 𝜀 (Equation I-B) 𝑞 = 𝛼 + 𝛽 𝑞 + 𝜀 (Equation I-C) 6 Since total output growth is the weighted sum of sectoral output growth. 6 where j, i, t stand for sector, country and time, respectively, and εjit is assumed to be normally distributed. 𝑞 is total output growth (the growth of total value added in constant prices) and 𝑞 refers to the sectoral output growth (the growth of sectoral value added in constant prices). The second law states that the faster the growth of manufacturing output (𝑞 ), the faster will be the growth of productivity in manufacturing (𝑝 ) as a result of increasing returns to scale (IRS). This first mechanism explaining causality from manufacturing growth to GDP per worker growth is known as the Verdoorn´s law. This law can be interpreted from the perspective of employment growth in manufacturing (𝑒 ): the higher the scale economies of the sector, the lower the employment elasticity with respect to output, since productivity increases as a result of output expansion. This means that output expansion induces a less than proportional employment creation that causes productivity gains. Kaldor (1966) specified the Verdoorn relation in terms of a linear regression model: 𝑒 = 𝛽 + 𝛽 𝑞 with 𝛽 > 0, being 𝛽 an indicator of IRS (the Verdoorn coefficient). However, due to the productivity identity, this can be expressed as: 𝑒 = −𝛽 + (1 − 𝛽 )𝑞 , with 10 1   , being )1( 1 the elasticity of employment with respect to output growth. Then, the specification of Kaldor´s Second Law can be expressed by: 𝑒 = 𝛼 + 𝛽 𝑞 + 𝜀 (Equation II) where j, i, t stand for sector, country and time, respectively, and εjit is assumed to be normally distributed. 𝑒 is the sectoral employment growth and 𝑞 is the sectoral output growth. Finally, the third law states that a positive causal relationship exists between the expansion of the manufacturing sector and the growth of labour productivity outside of the manufacturing sector. This is explained by the presence of diminishing returns in agriculture and services, which supply labour to industry. This represents the second mechanism explaining causality from manufacturing to labour productivity growth. The reallocation of labour from agriculture to manufacturing releases surplus labour from 7 the non-dynamic sectors of the economy and, as a result, overall productivity growth increases. Most empirical studies focusing on developing economies (i.e., Dasgupta and Singh, 2005, 2006; Wells and Thrilwall, 2003) estimate this law by regressing overall productivity growth (𝑝) on the growth of non-manufacturing employment (𝑒 ), controlling for the growth of manufacturing output (𝑞 ), which, according to the Verdoorn´s law, induces productivity growth. Accordingly, the linear specification can be written as follows: 𝑝 = 𝛽 + 𝛽 𝑒 + 𝛽 𝑞 , with 𝛽 < 0; 𝛽 > 0 (Equation III) Table 1 reviews and summarizes a number of KGL- related works for developing economies and classifies their different approaches on the basis of their country sample (N), their time horizon (T), the equations estimated in the empirical exercise, and the level of sectoral disaggregation adopted. As mentioned in the introductive section, only a few studies have drawn attention to the (aggregated) services sector in their estimations. A notable exception is Pieper (2003) who examines the Verdoorn´s Law (Kaldor´s Second Law) across 30 developing countries covering nine sectors. Table 1 here DATA AND METHODOLOGY The main sources of data used here are the Groningen Growth and Development Centre (GGDC) 10-Sector Database (Timmer and de Vries, 2007) and the Africa Sector Database (de Vries et al., 2013). These are the first databases that provide long-term series of value added (in current and constant prices) and employment for developing economies. On the one hand, these sources compute employment levels using population censuses information that tends to have a more complete coverage of informality (McMillan et al., 2014) particularly relevant in the analysis of developing countries. On the other hand, value added information is gathered within the framework 8 of the System of National Accounts, which makes the coverage of the informal sector by value added data to vary across countries and to depend on the quality of the national sources. With regard to the time span, the year 1975 was chosen as a starting point because of data availability for all countries in the sample. Moreover, following Pieper (2003) and León-Ledesma (2000), we use a moving average of value added (at constant prices), employment, and productivity growth rates (taking 5-years period averages) to smooth out short-term fluctuations present in the annual data (T=6). As detailed in Table 2, available time series allow us to disentangle the different role played by the three main aggregated sectors (j=1, 2 and 3) as well as a range of service sub-sectors (j= 4, 5, 6 and 7). Therefore, the analysis is performed for seven different activities, namely: 1) Agriculture; 2) Manufacturing; 3) Services; 4) Trade services; 5) Transport services; 6) Business services; and 7) Public services. Table 2 here The empirical strategy followed in this research is two-fold. First, we use panel data analysis to estimate Kaldor´s first and second laws (Equations I-A, I-B, I-C and II). Regressions are performed by sector panel both for the whole sample of 29 developing countries and also for the three different regions, including nine countries from Latin- America, nine countries from Asia and eleven countries from Africa.7 Accordingly, in the overall econometric analysis every sector panel ends up having 174 observations based on five-year growth rates. When dealing with the three regional sub-samples individually, every sector panel for the Asian and Latin-American countries included in the sample presents 54 observations (N=9 and T=6), while for the Sub-Saharan African economies each sector panel includes 66 observations (N=11 and T=6). Outliers are detected and treated using one dummy variable for each. Fixed country effects are added in order to deal with omitted heterogeneity. Equations are estimated by Ordinary 7 Latin-American countries (N=9): Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Mexico, Peru and Venezuela; Asian countries (N=9): Hong Kong (China), India, Indonesia, Rep. of Korea, Malaysia, Philippines, Singapore, Taiwan and Thailand; African countries (N=11): Botswana, Ethiopia, Ghana, Kenya, Malawi, Mauritius, Nigeria, Senegal, South Africa, Tanzania and Zambia. 9 Least Squares (OLS) with Panel Corrected Standard Error Estimations (PCSE) accounting for group-wise heteroskedasticity, cross sectional dependence, and autocorrelation in disturbances within panels. Second, growth accounting can be a useful approach for analysing the relationships underlying Kaldor’s Third Law, in order to overcome the matter of spurious correlation and identification problems present in Equation III. Accordingly, following Felipe et al. (2009) and McMillan and Rodrik (2011), we perform a conventional8 shift-share decomposition analysis that allows us to decompose aggregate productivity growth in terms of (within sectors) differential growth of labour productivity and the reallocation of labour between industries (see Syrquin, 1984, for an overview). The decomposition was pioneered by Fabricant (1942) but later users of this method focused more on the labour productivity. Let π denote the labour productivity level, subscript j denote sectoral branches (j = 1,…,n with n the number of branches), sj the share of branch j in total employment and superscripts 0 and T the beginning and end of the period (0,T). Formally, the decomposition analysis is written as follows:       0 0 0 0 0 0 1 1 10 0 0 0 0 N N N j jT j jT j jT j j jT j j j jT s s s s s                           (Equation IV) ISESCEISEDSESSE  According to equation IV, aggregate productivity growth can be decomposed into intra- sectoral productivity growth (ISE, the last term on the right-hand side) and the effects of structural change (SCE) which consist of a static shift effect (SSE, the first term) and 8 The use of this technique needs some qualifications (Timmer and Szirmai, 2000). First of all, the shift-share analysis is supply-side oriented and assesses the effects of structural change on productivity growth. Changes in demand are taken as exogenously determined. What the shift-share shows is that the shifts in inputs that have taken place, whether or not driven by developments on the demand side, are (or are not) important in quantitative terms for aggregate productivity growth. This technique is based on several assumptions. The violation of any of these assumptions might result in an under- or overestimation of the contribution of structural change to productivity growth. The problematic assumptions involve the aggregate level of the analysis, the assumption of marginal productivity equal to average productivity, the assumption of input homogeneity, the incidence of spillovers and the causal links between growth of output and productivity. 10 a dynamic shift effect (DSE, the second term). While the static effect measures productivity growth caused by a shift of labour towards sectors with a higher labour productivity level at the beginning of the period, the dynamic effect captures shifts towards more dynamic sectors, i.e. those with higher labour productivity growth rates. This interaction effect arises because of the use of a discrete fixed weight decomposition. We retain this term because it can provide an interesting economic interpretation for our analysis. As sectors differ not only in terms of productivity levels, but also in terms of productivity growth rates, resource reallocation has both static and dynamic effects and a distinction between the two is relevant. The empirical analysis tackles two hypotheses related to structural effects. First, the structural bonus hypothesis postulates a positive relationship between structural change and economic growth as economies upgrade from low to higher productivity industries (SCE > 0). Secondly, the DSE can be used to test the structural burden hypothesis (DSE < 0). This hypothesis states that as labour reallocates into sectors with (generally) lower productivity growth, productivity growth of the economy will decline. This hypothesis is related to the existence (or not) of increasing returns to scale within the sectors under consideration. If DSE > 0 increasing returns to scale (IRS) exist (industries which absorb more resources are those with increasing productivity levels).These results complement to some extent those obtained from the estimation of the second KGL. FINDINGS Kaldor´s First Law Panel data estimations for the whole sample of developing economies are shown in Table 3. In every sector under analysis the estimated coefficients are significant and follow the expected sign in Equation I-A and I-C. However, when Equation I-B is estimated, the regression coefficient is significant but negative in both agriculture and public services. In fact, only two sectors fulfill Equation I-B: manufacturing and business services. Consequently, as in Dasgupta and Singh (2005 and 2006), we confirm Kaldor´s First Law across developing countries: manufacturing is an engine of output growth. Our results also show that one of the service sub-sectors, namely 11 business services, seems to behave in a similar way. This sector embraces a set of different activities including standardized, most likely low skilled services (like real estate, cleaning or security) as well as customized human-capital intensive services such as R&D, computer-related activities, consultancy, engineering, advertising, etc. Business services play an essential role in the creation and diffusion of knowledge, new technologies and non-technological modes of innovation (Ciarli et al., 2012; Crespi et al., 2014; Gallouj and Savona, 2008; Guerrieri and Meliciani, 2005). Moreover, these activities have achieved productivity improvements that have outperformed manufacturing sectors’ ones (i.e., Maroto-Sánchez and Cuadrado-Roura, 2009; Timmer and de Vries, 2007 and 2009; United Nations, 2010). Therefore, our results may reflect changes in inter-industry linkages of developing economies as result of the increased use of business services as intermediate catering for manufacturing demand for more specialized functions. Table 3 here Kaldor’s First Law is also confirmed in the three macro regions under analysis, as shown in Appendix A. Manufacturing satisfies Equation I-A as well as both side tests. This finding is in line with those by Wells and Thirlwall (2003) for 45 African economies, Libanio (2006) for 7 Latin-American economies, and Felipe et al. (2009) for 17 Asian countries. Moreover, no relationship between the expansion of agriculture and overall growth is found in Asia, whereas in Latin-America and Africa estimates for Equation I-B are significant but negative, as in the total country sample. This result is also found for the case of public services in the three different macro regions. Overall, business services have behaved similarly to manufacturing in Asia and Latin- America, although no evidence is found across African economies. This may be related to the undersized manufacturing basis attained by this latter region, which hampers the development of many business-related services. Deindustrialization in Africa is characterized by a declining diversity and sophistication of the region’s manufacturing sectors (Page, 2011, McMillan et al., 2014). Indeed, when the side test is performed 12 relating overall growth to the excess of business services output growth (over the non- business services growth), the regression coefficient is significant and negative. Kaldor´s Second Law Table 4 reports panel data estimations for Equation II and provides one-tailed test hyphotesis of constant returns to scale (CRS, β1j =1) and increasing returns to scale (IRS, β1j < 1) at the sectoral level. All sectors, with the exception of agriculture and trade, show employment elasticities with respect to output growth that are significant. Moreover, in five out of seven sectors we can reject the CRS hypothesis at the 5 per cent confidence interval for one-tailed tests. In those sectors, estimates of the employment elasticity with respect to output growth are significantly less than unity. Table 4 here Kaldor´s second law is therefore confirmed for the whole sample of developing economies: there are IRS in manufacturing activities. The estimated elasticity is close to 0.5, a result in line with the traditional estimates of this effect (Felipe et al., 2009). Besides, Table 4 shows lower employment elasticities (i.e. higher degree of induced productivity growth) in services sectors in comparison with manufacturing. Despite surprising, this evidence of strong IRS in services is in line with the findings in Pieper (2003). In the linear specification of the law including country effects, the author finds that estimated employment elasticities are lower in the service sub-sectors in comparison with manufacturing. This finding is highly relevant, as it points out that: i) services may be subject to increasing returns, and ii) the same Kaldorian mechanisms which make manufacturing the engine of growth may also apply to service sectors. Unfortunately, we have found no further studies in the Kaldorian tradition to compare our findings for disaggregated service subsectors across developing economies. There is still a substantial gap in the Kaldor-Verdoorn related literature with regard to the full understanding of the specific factors behind differences in the magnitude of returns to scale across sectors, countries and over time (Romero, 2016). 13 When fitting Equation II to the data on Asia and Africa, evidence of IRS in manufacturing is also found (Appendix B). This is in line with Felipe et al. (2009) and Wells and Thirlwall (2003). In contrast with Libanio (2006), no relationship between employment growth and output growth in manufacturing is found in Latin America.9 On the one hand, our results may be reflecting the increasing share in world total manufacturing output and the rapid technological upgrade of Asian manufacturers. Felipe et al. (2015) show that, in general, Asian countries have had larger manufacturing employment shares during 1970-2010 than their African or Latin Americans counterparts. Furthermore, during the past four decades, Asia has experienced faster capital deepening and higher Total Factor Productivity (TFP) growth than other developing economies, including Latin-America (Jaumotte and Spatafora, 2007). At sectoral level, productivity growth in industry and in services was higher than in other regions and, within the manufacturing sector, there has been a shift towards more skill- intensive sectors with higher productivity levels and growth. As suggested by Felipe et al. (2009), manufacturing output in a number of Asian economies (i.e., South Korea, Malasya, Taiwan and Singapore) has shifted into more technology- and scale-intensive subsectors. This has been supported by strong institutional quality, trade openness, and financial sector development. Thus, notwithstanding the high heterogeneity within Asia, these facts helped to promote the catching-up with advanced economies (Jaumotte and Spatafora, 2007). On the other hand, technology- and knowledge-intensive industries have lost ground over the past decades in many Latin-American countries, which have experienced a relative decline in productivity growth (Pagés, 2010), combined with a relative large share of non-skilled intensive sectors within manufacturing (Jaumotte and Spatafora, 2007). The manufacturing output has largely shrunken, in favour of natural-resource processing industries (i.e., tobacco, coal, paper, and petrol) (Cimoli et al., 2005). There is evidence that points to a strong shift towards processing industries related to commodities for highly competitive world markets (Cimoli and Katz, 2003), accompanied by domestic sources of technology change and productivity growth rapidly decreasing. 9 Libanio (2006) estimates Equation II but also controlling for the growth of capital. 14 More importantly, our findings induce to question the traditional role posed to services as unlikely drivers of productivity growth in developing economies. Following the aggregated picture, IRS are found in total services in both Asia and Africa. As in manufacturing, no relationship is found between employment growth and output growth in services for the Latin-American economies. According to Wells and Thirlwall (2003), no economic meaning can be attached to this kind of result except that employment growth seems to be independent of output growth. It is important to point out that business services show IRS in both Asian and Latin-American countries.10 Relatedly, Timmer and de Vries (2009) suggest that market services (including trade, financial, business services and communications) have been important contributors to growth and development in Asia and Latin-America from 1950 to 2005. These authors find that productivity gains within manufacturing and market services are key drivers for growth. The regression exercise on Kaldor´s second law indicates the capability of sectors for generating induced productivity growth. As this is still the object of a number of empirical controversies –as will be discussed later on–, the next section provides a direct measurement of the contributions of structural change to productivity growth by means of a dynamic shift-share analysis. Kaldor´s Third Law The results of productivity growth decomposition accounting for Kaldor´s third law are shown in Table 5, broken down into sectoral contributions.11 In line with Equation IV, the sum of the structural effects (SCE = SSE + DSE) and the intra-sectoral productivity growth effect (ISE) is equal to the average growth rate of labour productivity in the corresponding aggregate (first cell). This is how the data sums up horizontally. Vertically, for each of the three components, the contributions of each sector also add up to the corresponding figure in the first line of each sub-table. As additional information, the number in brackets shows the average growth of labour productivity 10 In African countries, the CRS hypothesis cannot be rejected at the 5 per cent confidence level. 11 The category ’Other industry’ (comprising mining and extracting activities, construction, and energy) is also included in this section in order to obtain valid results of shift-share technique. 15 within individual sectors, and does not add up either in the horizontal or in the vertical dimensions. The figures allow us to identify whether there are any regular patterns of differential productivity growth across industries. Table 5 here Results show that the moderate labour productivity growth (0.68 per cent) of developing countries in the period under analysis is largely explained by the intra- sectoral effect (ISE). In particular, almost three quarters of the total productivity growth correspond to such component while structural change (SCE) only accounts for the 23.7 per cent. This finding is consistent with the one shown by McMillan and Rodrik (2011) for a quite similar period (1990-2005). As it is often the case in the relevant literature (see Peneder, 2003 and Maroto and Cuadrado, 2009, for a review), the structural components (SCE) seem to be generally dominated by the within effects of productivity growth (ISE). Results also show that the structural bonus hypothesis is rejected for agriculture (SCE = -0.127) and is scarcely supported for manufacturing sector (+0.005).. However, it appears to play a more important role in services (SCE = +0.363). In particular, business services and trade account for more than the 70 per cent of the structural effects within services. This suggests that labour has reallocated from primary activities into manufacturing and, mainly, services. Nevertheless, industries absorbing resources have lost dynamism during 1975–2005 as the structural burden emerges (DSE<0)in both manufacturing and services – and, particularly, in trade.12 Figures from Table 5 hide significant differences across regions. Appendix C shows that Asia has the highest labour productivity growth during 1975–2005 (1.65 per cent) which is mostly explained by the intra-sectoral component (82.5 per cent). Moreover, the structural bonus (SCE > 0) is found in all sectors with the exception of agriculture. Services show enough place to productivity gains through factor reallocation effects 12 The size of the interaction effect will of course depend on the length of the period under consideration because it vanishes when the length approaches to 0. Our results on the Table 5 are robust to the various ways in which the structural decomposition formula can be applied. Using annual data instead of data at the beginning- and at the end- year of a period (as shown in the Table 5) the results are quite similar. 16 (SCE = 0.617) mainly because business services accounts for a large part of such structural bonus (40 per cent). The DSE is negative but rather small in comparison with the other regions under study with dynamic productivity gains emerging from both manufacturing (+0.009) and services industries (+0.174). This means that Asian economies – especially Indonesia, Thailand and Taiwan – seem not to have reached the structural burden yet in these activities. The situation in Latin America is quite the opposite. This group of countries shows an extremely poor productivity performance during the three decades analyzed (0.008 per cent). Notably, this is the only developing region in which static productivity losses are observed in manufacturing. The intra-sectoral productivity growth only accounts for one quarter while structural effects account for the other three quarters. The structural burden is comparatively important for the case of Latin America (with dynamic effects quantitatively similar to static effects), showing a negative DSE in all sectors under study. Finally, the African region follows, to a certain extent, the pattern found for the whole set of developing economies but with poorer developments. Labour productivity growth (0.40 per cent) is mostly explained by the within component (54.5 per cent). Overall, we find that both manufacturing and services, mainly business services, show structural productivity gains for the whole set of developing countries. However, the quantitative gains of the structural bonus differ across regions. In Asia, the structural effects are quantitatively larger (+0.289) than the case of poor performing Latin America (+0.006) or Africa (+0.184). Additionally, Asia shows increasing returns to scale both in manufacturing and business services (in the same way we observed in the results shown in Table 4 for the overall sample) as the DSE is positive for the whole period. On the contrary, Latin America and Africa show negative DSE – both in manufacturing and in most service branches. In this respect, MacMillan and Rodrik (2011) point out that Asian countries have experienced growth-enhancing structural change during 1990-2005, whereas in Africa and Latin-America growth-reducing structural change has prevailed, indicating that labour has shifted from high-productivity sectors (i.e., manufacturing) to less productive 17 activities (i.e., personal services, informality or even unemployment).13 Both low- income countries of Sub-Saharan Africa and middle-income economies of Latin- America have been intensely hit by deindustrialization, while Asian regions have been insulated from this trend (Rodrik, 2016). This kind of ‘wrong’ structural transformation is suggested to be related to the presence of large endowments of natural resources (which do not generate much employment unlike manufacturing industries and business-related services), the overvaluation of currencies (which have a negative effect on tradable modern sectors), and the reduced flexibility of labour markets (which hampers the flow of labour across firms and sectors). CONCLUDING REMARKS This article has contributed to a recently revamped debate around the threat of ‘premature deindustrialization’ in emerging economies, originally put forward by Dasgupta and Singh (2005, 2006) and Palma (2005) and recently reprised by Bah (2011), Felipe and Mehta (2016) and Rodrik (2016). Concerns around deindustrialization are consistent with the narrative, present in academic and policy circles, of ‘industrial policy is back’14, that suggests to go back to public active industrial policies to support resurgence of manufacturing sectors. We have argued that within this context it is important to qualify and give empirical content to the effects of premature deindustrialization, not least to properly ground industrial policies in developing countries. We therefore identified a few empirical stylized facts on the contribution of a set of different service branches – as well as the manufacturing and primary sectors – to aggregate growth and productivity performance in twenty-nine developing countries over the past decades. To do so, we have reprised the classical Kaldorian framework and devised an original empirical strategy, that has included estimations of the Kaldor-Verdoorn Laws, complemented by a shift-share analysis. 13 Recently, MacMillan et al. (2014) decompose their results for the period 1990-2000 and 2000-onwards, and find that structural change has been also growth-enhancing for the case of Africa in the latter period as result of small expansions in different manufacturing sub-sectors. 14 See the recent Stiglitz (2016), the Juncker Plan in Europe, the Made in China 2025 programme, the Indian National Manufacturing Policy, and the new industrial strategy policies around the globe. 18 Our findings suggest that the manufacturing sector has indeed been an engine of growth during the past three decades across Asian, Latin-American and African countries, as the KGL remain valid for developing economies. More importantly, the evidence suggests that within the heterogeneous service sector, business services represent an additional engine of growth, as they contribute to aggregate productivity by mean of the same Kaldorian mechanisms that have traditionally been at work in manufacturing industries. Indeed, much of the attention devoted by the literature to business services, and knowledge-intensive services in particular, has focused on their capabilities to embody, process, accumulate and disseminate both codified and tacit information and knowledge to other firms and sectors. Such a role is grounded in their high share of skilled human capital, their contribution to learning processes and knowledge accumulation, and their role as co-producers of innovation (Gallego and Maroto, 2015) – e.g., by facilitating knowledge transfer coming from foreign firms locating in developing countries. Additionally, an important number of technology-intensive manufacturing sectors represent a pool of demand for these knowledge-based business services (Guerrieri and Meliciani, 2005), which points to the importance of (forward and backward) inter- industry linkages between business services and the manufacturing sector, and with their use of knowledge and technology (Ciarli et al., 2012; Meliciani and Savona, 2015; López-Gonzalez et al., 2015). In this respect, a core manufacturing sector may be critical for growth not only per se, but also as it is able to promote the emergence of backward and forward linked sectors that Hirschman (1958) would label as ‘high development’ inducive (López-Gonzalez et al., 2015), with business services fitting this category. Within the developing world, Asia emerges as the only macro-region where both manufacturing and business services consistently and systematically behave as dynamic sectors in the Kaldorian sense. This might be due to the emergence and diffusion of Global Value Chains (GVCs) across countries that had prior exhibited lower productivity and are now catching up, mostly in Asia (Felipe and Mehta, 2016). The specialization of the region in export-oriented manufacturing with strong inter-industry linkages allow for the development of high-tech business service sectors, which stimulate productivity and growth. The increased tradability of (manufacturing-linked) 19 business services within GVCs have turned these activities into major players in the current wave of the globalization process (Gallego et al., 2013), opening up new opportunities for growth in developing economies (Gereffi and Fernández, 2010a; 2010b; Hernández et al., 2014; López-Gonzalez et al., 2015). In support of this evidence, some modern tradable services (e.g., IT-related services) have notably expanded in Asian countries (e.g., India, Philippines) and, as argued by Dasgupta and Singh (2005), may also lead to the expansion of manufacturing, rather than the other way around. Conversely, and expectedly, we have found empirical support to the argument put forward by MacMillan and Rodrik (2011), McMillan et al. (2014) and Rodrik (2016), namely, that a shift to low tech, personal and informal services as a result of a loss of industrial core might instead lead to a Kaldorian-like productivity and growth slowdown. In particular, Latin America and Africa have overall followed a different path of structural change and growth. As argued by Dasgupta and Singh (2006), a pathological kind of deindustrialization has occurred within both regions during the 80s and the 90s as many countries specialized according to their static comparative advantage – namely in resource-based industries, simple processing and/or labour intensive products with little prospect for upgrade (Shafeaeddin, 2005). Long– run dynamic comparative advantages –that require the creation and diffusion of technological capabilities and innovations, and depend on strong linkages between firms and knowledge flows (Ocampo, 2005) – were instead disregarded. In particular, our results show that neither static nor dynamic productivity gains in manufacturing has been achieved in the case of Latin America. The deindustrialization experienced in this area has most likely hampered the emergence and development of advanced business- related services (Di Meglio, 2017) and might currently represent a case of ‘specialisation trap’. Overall, our findings show that the debate around ‘pre-mature deindustrialization’ in developing countries can be put in perspective, as the within- and across sector productivity performance of services is very heterogeneous. What can be inferred by the wealth of results discussed above is that there are different types of deindustrialization, not all of which represent a structural burden for (developing) economies. Namely business services might support structural transformation of core manufacturing bases, 20 as their productivity performance show similar dynamics across several macro areas of the world. Our findings show that the most dynamic sectors remain the manufacturing one and those that are tightly linked to these, such as business services. However, they also highlight that what matters, beyond the sectoral boundaries, is the ability to create value added, which is not necessarily linked to a critical mass of manufacturing, rather to its potential for technological upgrading, knowledge accumulation and increased tradability. The challenge for development policy is to induce and facilitate processes of structural transformation based on sectoral and technological upgrading, which might lead to a ‘qualified’ premature deindustrialization. Although with the data at our disposal we cannot directly empirically support this, we might still claim that it is not the ‘premature’ nature of deindustrialization that might represent a concern, but the ‘direction’ of it. DIRECTIONS FOR A RESEARCH AGENDA A number of conceptual, methodological and empirical issues around the topic of pre- mature deindustrialization remain at stake. Below we identify areas for a research agenda on services in developing countries, which might build upon the findings of this manuscript. When the Kaldorian framework emerged, there was more of a clear-cut distinction among sectors in an economy. At present, the distinction between many service and manufacturing industries is more debatable since their boundaries have become more blurred over time, and the manufacturing-service interface evolved, which makes the traditional sectoral classification unsustainable (Daniels and Bryson, 2002). Future research should focus on sectoral structural change from the perspective of the historical and geographical processes of knowledge dynamics (see among others, Ciarli et al., 2012) that has occurred in developing countries. Relatedly, it would be important to go more in-depth into the micro-economic level and look at the extent of the co-production relationship across service and other sectors’ firms (Savona and Steinmueller, 2013; Gallego and Maroto, 2015). 21 A few methodological and empirical issues still need to be addressed and offer a promising future research agenda. First, the estimation of KGL remains an econometric challenge. There is room for further improvements on the use of additional variables, dynamic and non-linear techniques. In particular, more work is needed to reconcile all the specifications of the Verdoorn’s law (Romero, 2016). Indeed, an extensive debate in the literature has focused on the fact that the specification used by Kaldor does not control for the contribution of growth of capital stock. Second, assuming, as Kaldor did, that the KLG is based on a technical progress function, excluding this variable from estimations is likely to provide a biased coefficient of returns to scale, except if a constant capital/output ratio is assumed (McCombie, 1982). However, in the case of developing economies, it is difficult to find reliable and consistent data of capital stocks at the sectoral level, as also noted by Jaumotte and Spatafora (2007) and Wells and Thirlwall (2003). Lack of data makes it difficult to account for capital stock growth in the estimation of Kaldor´s Second Growth Law and severely limits international total factor productivity comparisons. A further issue related to the econometric estimation of the Verdoorn´s law is the possibility of simultaneous equation bias due to the potential endogeneity of the regressors. To overcome this, a variety of econometric techniques have been applied: simultaneous equation; instrumental variables and Granger causality tests. More recently, Felipe et al. (2009) propose using a semi-parametric technique. However, as discussed in McCombie et al. (2002), these procedures still suffer from limitations, and the controversy is yet not solved. The diffusion of technical progress poses an additional challenge in the empirical estimation of the Verdoorn law. If the former varies across countries, manufacturing productivity increase in ‘laggards’ countries may reflect the transfer of technology from leading countries, rather than indigenous innovation leading to domestic increasing returns of scale. To overcome this issue, the Verdoorn-related literature suggest the use of additional variables to account for the level of technological development and of cross-regional data. However, currently available data still do not allow undertaking such strategy. 22 The Kaldorian framework relies on traditional productivity indicators. However, the accurate measurement of productivity in services is still an unresolved matter (Djellal and Gallouj, 2008; see also Grassano and Savona, 2014, for a review). As summarized in Maroto and Rubalcaba (2008) and in Di Meglio, (2013), measuring output and input in services has not gone much further since Griliches (1992). This is a well-known issue particularly with regard to public services, where the measurement of productivity remains inadequate and flawed by data deficiency (Di Meglio et al., 2015). Data collection and empirical evidence should be preceded in this case by a substantial theoretical effort. ACKNOWLEDGEMENTS We gratefully acknowledge funding through Ramón Areces Foundation, Spain. We thank two anonymous reviewers for SPRU Working Papers Series, and four anonymous reviewers of Development and Change. Usual disclaimers apply. 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Estimations for disaggregated services? 1st law 2nd law (Verdoorn's law) 3rd law Felipe (1998) 5 Asian countries 1967-1992 qnm = a2 + b2(qm) + ε2 N.E. N.E. No No Pieper (2003) 30 developing countries 1970-1990 N.E. em = a1 + b1(qm) + ε1 N.E. Yes Yes Wells and Thirwall (2003) 45 African countries 1980-1996 qGDP = a1+ b1(qm) + ε1 qGDP = a2 + b2(qm - qnm) + ε2 qnm = a3+ b3(qm) + ε3 em = a1 + b1(qm) + ε1 p = a1 + b1(qm) + c1(enm) + ε1 Yes No Cimoli et al (2005) 5 Latin American countries 1970-2000 N.E. em = a1 + b1(qm) + ε1 N.E. No No Dasgupta and Singh (2005) 30 developing economies 1980, 1990, 2000 logqGDP = a1+ b1(logqm) + ε1 log(p) = a1 +b1(logqm) + c1(logenm) + ε1 Yes No Dasgupta and Singh (2006) 48 developing countries 1990-2000 qGDP = a1+ b1(qm) + ε1 p = a1 + b1(qm) + c1(enm) + ε1 Yes No Libanio (2006) 7 Latin American countries 1985-2001 qGDP = a1+ b1(qm) + ε1 qGDP = a2+ b2(qm - qnm) + ε2 qnm = a3+ b3(qm) + ε3 em = a1 +b1(qm) + c1(km) + ε1 N.E. No No Felipe et al (2009) 17 Asian countries 1980-2004 lnqnm = a3+ b3(lnqm) + ε3 lnem = a1 + b1(lnqm) + ε1 Decomposition of labour productivity growth Yes No Pacheco and Thirwall (2014) 89 developing countries 1990-2011 qGDP = a1 + b1(qEXP) + ε1 qEXP = a2 + b2(qm) + ε2 qGDP = a1 + a2b1 +b1b2(qm) + ε2 N.E. N.E. No No Note: N.E. for not estimated. 30 Table 2. Description of sectoral composition of GGDC database j ISIC Rev. 3.1 code Sector name ISIC Rev. 3.1 description 1 A-B Agriculture Agriculture, Hunting and Forestry, Fishing 2 D Manufacturing Manufacturing 3 G-P Services Trade services, Transport services, Business services, Public services 4 G-H Trade services Wholesale and Retail trade; repair of motor vehicles, motorcycles and personal and household goods, Hotels and Restaurants 5 I Transport services Transport, Storage and Communications 6 J-K Business services Financial Intermediation, Renting and Business Activities (excluding owner occupied rents) 7 L-P Public services Public Administration and Defence, Education, Health and Social work, Other Community, Social and Personal service activities, Activities of Private Households Source: GGDC 10-sector database. Note: Following McMillan and Rodrik (2011) and McMillan et al. (2014), we aggregate value added and employment data for the “Government Services” sector (L-N) and the “Personal Services” sector (O-P) into a single “Public Services” sector. 31 Table 3. Panel data estimation of Kaldor´s First Law: all developing countries SECTOR EQUATION I-A EQUATION I-B EQUATION I-C 1j / s.e. β1j / s.e. 2j / s.e. β2j / s.e. 3j / s.e. β3j / s.e. j=manufacturing .0125* .0053 .4682*** .0249 .0173 .0094 .1461* .0612 .0160* .0065 .3626*** .0329 R2 0.781 R2 0.4687 R2 0.637 j=agriculture .0107 .0088 .2371*** .0531 .0170* .0068 -.3027*** .0477 .0124 .0092 .1343* .0601 R2 0.516 R2 0.605 R2 0.522 j=services .0008 .0031 .8411*** .0346 .0161 .0090 -.1328 .0769 .0002 .0070 .7170** .0682 R2 0.895 R2 0.461 R2 0.664 j=trade .0101** .0033 .5414*** .0412 .0158 .0093 .0464 .0573 .0122** .0036 .4671*** .0458 R2 0.785 R2 0.451 R2 0.705 j=transport and communications .0007 .0059 .4264*** .0493 0150 .0095 .0220 .0752 .00001 .0062 .3934*** .0518 R2 0.703 R2 0.448 R2 0.649 j=business services .0066 .0084 .3373*** .0263 0137 .0090 .1536*** .0415 .0076 .0082 .2694*** .0237 R2 0.727 R2 0.527 R2 0.653 j=public services .0094 .0083 .3833*** .0844 .0157* .0063 -.370*** .0455 .0112 .0107 .2650** .1012 R2 0.515 R2 0.599 R2 0.420 N 174 174 174 Note: OLS estimations with fixed effects and PCSE accounting for groupwise heteroskedasticity, cross sectional dependence and serial correlation. Dummy coefficients estimates are available upon request. Legend: s.e. for standar deviation; * p<0.05; ** p<0.01; *** p<0.001 32 Table 4. Panel data estimation of Kaldor´s Second Law: all developing countries SECTOR EQUATION II β0j / (s.e.) β1j /(s.e.) Ho: β1j = 1 / p-value Ho: β1j <1 / p-value j=manufacturing -0.0096 0.0115 0.5819*** 0.0566 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.620 j=agriculture -0.0120 0.0066 0.1278 0.0748 R2 0.566 j=services 0.0209*** 0.0054 0.2118*** 0.0545 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.342 j=trade 0.0224*** 0.0046 0.0028 0.0564 R2 0.400 j=transport and communications 0.0098 0.0124 0.3803*** 0.0728 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.4072 j=business services 0.0231 0.0141 0.3107*** 0.0463 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.541 j=public services 0.0195*** 0.0054 0.3470*** 0.0858 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.385 N 174 Note. OLS estimations with fixed effects and PCSE accounting for groupwise heteroskedasticity, cross sectional dependence and serial correlation. Dummy coefficients estimates are available upon request. Legend: s.e. for standar deviation; * p<0.05; ** p<0.01; *** p<0.001 33 Table 5. Productivity growth decomposition 1975-2005: all developing countries SECTOR Labour productivity growth Structural Effect (SCE = SSE + DSE) Static Structural Effect (SSE) Dynamic Structural Effect (DSE) Intra- sectoral Effect (ISE) TOTAL +0.680 (100%) +0.161 (23.7%) +0.435 (64.0%) -0.274 (-40.3%) +0.519 (76.3%) = = = Agriculture (0.939) -0.127 -0.062 -0.065 +0.117 Manufacturing (1.087) +0.005 +0.019 -0.014 +0.155 Other industry (1.854) -0.081 +0.055 -0.136 +0.150 Services (0.280) +0.363 +0.422 -0.059 +0.097 Trade (0.068) +0.129 +0.171 -0.042 +0.004 Transport and communications (1.040) +0.039 +0.027 +0.012 +0.051 Business services (0.191) +0.127 +0.149 -0.022 +0.003 Public services (0.374) +0.068 +0.075 -0.007 +0.038 Sectoral contributions to each effect (adding the TOTAL by columns) Agriculture -78,9% -14,3% 23,7% 22,5% Manufacturing 3,1% 4,4% 5,1% 29,9% Other industry -50,3% 12,6% 49,6% 28,9% Services 225,5% 97,0% 21,5% 18,7% Subsectoral contributions to each effect (adding the SERVICES by columns) Trade 35,5% 40,5% 71,2% 4,1% Transport and communications 10,7% 6,4% -20,3% 52,6% Business services 35,0% 35,3% 37,3% 3,1% Public services 18,7% 17,8% 11,9% 39,2% Note: The percentage contribution of each effect to aggregate productivity growth appears between brackets. ‘Other industry’ includes: mining and extracting activities, construction and energy. 34 APPENDIX A Table A. Panel data estimation of Kaldor´s First Law Table A.1. Asia SECTOR (j) EQUATION I-A EQUATION I-B EQUATION I-C 1j / s.e. β1j / s.e. 2j / s.e. β2j / s.e. 3j / s.e. β3j / s.e. Manufacturing .0276*** .0039 .4626*** .0523 .0710** .00611 .2400* .1007 .0537*** .0043 .3617*** .0590 R2 0.715 R2 0.292 R2 0.520 Agriculture .0712*** .0080 .1622* .0805 .0431* .0166 -.1708 .1019 0719*** .0080 .162 .0848 R2 0.357 R2 0.285 R2 0.305 Services .0021 .0038 .9223*** .0416 .0683 .00 -.244 .1358 -.0036 .0137 .9095*** .0864 R2 0.920 R2 0.245 R2 0.747 Trade .012* .0056 .6755*** .0444 .0570*** .009 .3763 .209 .0134 .00762 .6102*** .0551 R2 0.859 R2 0.351 R2 0.784 Transport and communications .019* .0077 .548*** .0977 .0610*** .0054 -.2399** .0919 .02143* .0084 .5108*** .107 R2 0.623 R2 0.352 R2 0.571 Business services .0404*** .0051 .3097*** .0267 .058*** .0070 .2999*** .04819 .0408*** .0064 .2578*** .0274 R2 0.750 R2 0.521 R2 0.649 Public services .0362* .0150 .5048** .1929 -.5147*** .1132 -.5147*** .1132 .044* .01876 .397 .2341 R2 0.362 R2 0.504 R2 0.277 N 54 54 54 Table A.2. Latin-America SECTOR (j) EQUATION I-A EQUATION I-B EQUATION I-C 1j / s.e. β1j / s.e. 2j / s.e. β2j / s.e. 3j / s.e. β3j / s.e. Manufacturing .0114** .0043 .6353*** .0551 .020* .0097 .3848*** .1323 .0148*** .0054 .5564*** .0653 R2 0.823 R2 0.422 R2 0.723 Agriculture .0031 .0090 .612*** .2121 .0190*** .0051 -.6878*** .0857 -.0014 .0089 .821*** .196 R2 0.323 R2 0.659 R2 0.438 Services -.0002 .00288 .8998*** .0454 .0156 .0083 -.0420 .1583 -.0006 .00690 .7681*** .0918 R2 0.916 R2 0.217 R2 0.6538 Trade .0101** .0033 .5420*** .0585 .01674* .00833 .1860 .1124 .01245** .0038 .4503*** .0700 R2 0.720 R2 0.239 R2 0.571 Transport and communications -.0062 .0046 .6304*** .0509 .01247 .0098 .1466 .1278 -.0004 .0034 .6007*** .0637 R2 0.796 R2 0.207 R2 0.756 Business services .0068 .0083 .3292*** .0452 .0137 .0083 .1277* .0561 .0088 .0085 .2349*** .0479 R2 0.588 R2 0.381 R2 0.4017 Public services .0055 .0076 .6264*** .1192 .0157** .0051 -.5235*** .0758 .0069 .0101 .5352*** .1517 R2 0.476 R2 0.522 R2 0.358 N 54 54 54 35 Table A.3. Africa SECTOR (j) EQUATION I-A EQUATION I-B EQUATION I-C 1j / s.e. β1j / s.e. 2j / s.e. β2j / s.e. 3j / s.e. β3j / s.e. Manufacturing 0.0435*** 0.00798 0.327*** 0.0547 0.0571*** 0.00992 0.1364* 0.06506 0.0479*** 0.0084 0.2583*** 0.0567 R2 0.626 R2 0.586 R2 0.575 Agriculture 0.06175*** 0.0105 0.2370*** 0.0636 0.0553 0.01314 -0.150*** 0.0575 0.0658*** 0.0124 0.0103 0.0612 R2 0.515 R2 0.397 R2 0.495 Services 0.0041 0.0107 0.7074*** 0.0818 0.04936*** 0.0038 -0.2532*** 0.0769 0.0098 0.0166 0.4857** 0.1291 R2 0.729 R2 0.542 R2 0.437 Trade 0.0128* 0.0064664 0.4545*** 0.0474 0.0629*** 0.0110 -0.00883 0.0673 0.024728* 0.0126 0.3944*** 0.0711 R2 0.793 R2 0.412 R2 0.625 Transport and communications 0.0313** 0.0093 0.2993*** 0.0593 0.0586 0.0111 0.1035 0.09725 0.0339** 0.0098 0.2641*** 0.0608 R2 0.640 R2 0.431 R2 0.597 Business services 0.03506*** 0.00991 0.4520*** 0.0760 0.05445 0.00725 -0.2164* 0.1088 0.03842*** 0.0108 0.3959*** 0.0817 R2 0.641 R2 0.558 R2 0.580 Public services 0.0429*** 0.01063 0.2259** 0.0895 0.0582*** 0.0083 -0.2625*** 0.0693 0.0501 0.0126 0.0907 0.1033 N 66 66 66 Note. OLS estimations with fixed effects and PCSE accounting for groupwise heteroskedasticity, cross sectional dependence and serial correlation. Dummy coefficients estimates are available on request. Legend: s.e. for standar deviation; * p<0.05; ** p<0.01; *** p<0.001. 36 APPENDIX B Table B. Panel data estimation of Kaldor´s Second Law Table B.1. Asia SECTOR (j) EQUATION II β0j / (s.e.) β1j /(s.e.) Ho: β1j = 1 / p-value Ho: β1j <1 / p-value Manufacturing -.060*** .0082 .695*** .070 Reject Ho (0.0000 ) Retain Ho ( .99999159) R2 0.766 Agriculture -.0307*** .0103 .461*** .1101 Reject Ho (0.0000 ) Retain Ho (.9999995) R2 0.587 Services .0252*** .0065 .283*** .0749 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.333 Trade .03134*** .0083 .1033 .1013 R2 0.091 Transport and communications .0231 .0124 .2626** .0984 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.377 Business services .0554*** .0108 .2414*** .0491 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.419 Public services .0319* .0107 .1968 .1168 R2 0.453 N 54 Table B.2. Latin-America SECTOR (j) EQUATION II β0j / (s.e.) β1j /(s.e.) Ho: β1j = 1 / p-value Ho: β1j <1 / p-value Manufacturing -0.0082 0.0093 0.2992 0.1964 R2 0.427 Agriculture -0.0073 0.0078 -0.1025 0.2102 R2 0.118 Services 0.0245*** 0.0043 0.0033 0.0930 R2 0.360 Trade 0.0223 0.0049 0.0185 0.1037 R2 0.389 Transport and communications 0.0161 0.01348 0.1964 0.1467 R2 0.075 Business services 0261 .0151 .1772* .0825 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.580 Public services 0.0207*** 0.0056 0.2691 0.1624 R2 0.315 N 54 37 Table B.3. Africa SECTOR (j) EQUATION II β0j / (s.e.) β1j /(s.e.) Ho: β1j = 1 / p-value Ho: β1j <1 / p-value Manufacturing 0.0301 0.0228 0.718*** .1158 Reject Ho 0.0152 Retain Ho .99242332 R2 0.613 Agriculture 0.0116 0.0065 -0.110** 0.0400 R2 0.559 Services 0.0281** 0.0105 0.30794** 0.0949 Reject Ho ( 0.0000 ) Retain Ho (1.0000) R2 0.378 Trade 0.0805*** 0.0172 0.1104 0.109 R2 0.305 Transport and communications -0.0182 0.0211 0.666*** 0.0907 Reject Ho ( 0.0000 ) Retain Ho .99988027 R2 0.556 Business services 0.0143 0.0120 0.8220*** 0.1009 Retain Ho (0.0779) R2 0.623 Public services 0.0031 0.0154 0.3958** 0.1180 Reject Ho 0.0000 Retain Ho .99999984 R2 0.438 N 66 Note. OLS estimations with fixed effects and PCSE accounting for groupwise heteroskedasticity, cross sectional dependence and serial correlation. Dummy coefficients estimates are available on request. Legend: s.e. for standar deviation; * p<0.05; ** p<0.01; *** p<0.001 38 APPENDIX C Table C. Productivity growth decomposition: Per cent contribution of each effect. Table C.1. Asia SECTOR Labour productivity growth Structural Effect (SCE = SSE + DSE) Static Structural Effect (SSE) Dynamic Structural Effect (DSE) Intra- sectoral Effect (ISE) TOTAL +1.655 0.289 (17.5%) +0.479 (28.9%) -0.190 (-11.5%) +1.366 (82.5%) Agriculture (1.338) -0.223 -0.084 -0.139 +0.225 Manufacturing (2.917) 0.044 +0.035 +0.009 +0.414 Other industry (3.991) -0.149 +0.085 -0.234 +0.290 Services (1.027) 0.617 +0.443 +0.174 +0.437 Trade (0.992) 0.194 +0.107 +0.087 +0.162 Transport & communications (2.039) 0.073 +0.038 +0.035 +0.106 Business services (0.758) 0.239 +0.211 +0.028 +0.038 Public services (0.849) 0.111 +0.087 +0.024 +0.131 Sectoral contributions to each effect (adding the TOTAL by columns) Agriculture -77.2 -17.5 73.2 16.5 Manufacturing 15.2 7.3 -4.7 30.3 Other industry -51.6 17.7 123.2 21.2 Services 213.5 92.5 -91.6 32.0 Subsectoral contributions to each effect (adding the SERVICES by columns) Trade 31.4 24.2 50.0 37.1 Transport & communications 11.8 8.6 20.1 24.3 Business services 38.7 47.6 16.1 8.7 Public services 18.0 19.6 13.8 30.0 39 Table C.2. Latin-America SECTOR Labour productivity growth Structural Effect (SCE = SSE + DSE) Static Structural Effect (SSE) Dynamic Structural Effect (DSE) Intra- sectoral Effect (ISE) TOTAL +0.008 0.006 (75%) +0.338 (4225%) -0.332 (-4150%) +0.002 (25%) Agriculture (1.180) -0.085 -0.040 -0.045 +0.085 Manufacturing (0.226) -0.057 -0.035 -0.022 +0.046 Other industry (0.585) -0.035 +0.025 -0.060 +0.027 Services (-0.310) 0.183 +0.388 -0.205 -0.156 Trade (-0.473) 0.072 +0.167 -0.095 -0.089 Transport & communications (0.414) 0.022 +0.022 +0.000 +0.019 Business services (-0.385) 0.065 +0.163 -0.098 -0.033 Public services (-0.219) 0.024 +0.036 -0.012 -0.053 Sectoral contributions to each effect (adding the TOTAL by columns) Agriculture -1416.7 -11.8 13.6 4250.0 Manufacturing -950.0 -10.4 6.6 2300.0 Other industry -583.3 7.4 18.1 1350.0 Services 3050.0 114.8 61.7 -7800.0 Subsectoral contributions to each effect (adding the SERVICES by columns) Trade 39.3 43.0 46.3 57.1 Transport & communications 12.0 5.7 0.0 -12.2 Business services 35.5 42.0 47.8 21.2 Public services 13.1 9.3 5.9 34.0 40 Table C.3. Africa SECTOR Labour productivity growth Structural Effect (SCE = SSE + DSE) Static Structural Effect (SSE) Dynamic Structural Effect (DSE) Intra- sectoral Effect (ISE) TOTAL +0.407 0.184 (45.2%) +0.483 (118.7%) -0.299 (-73.5%) +0.222 (54.5%) Agriculture (0.299) -0.071 -0.061 -0.010 +0.042 Manufacturing (0.119) 0.027 +0.057 -0.030 +0.005 Other industry (0.987) -0.059 +0.056 -0.115 +0.166 Services (0.122) 0.287 +0.431 -0.144 +0.009 Trade (-0.315) 0.112 +0.239 -0.119 -0.060 Transport & communications (0.667) 0.023 +0.021 +0.002 +0.029 Business services (0.200) 0.080 +0.074 +0.006 +0.005 Public services (0.492) 0.064 +0.097 -0.033 +0.035 Sectoral contributions to each effect (adding the TOTAL by columns) Agriculture -38.6 -12.6 3.3 18.9 Manufacturing 14.7 11.8 10.0 2.3 Other industry -32.1 11.6 38.5 74.8 Services 156.0 89.2 48.2 4.1 Subsectoral contributions to each effect (adding the SERVICES by columns) Trade 39.0 53.6 82.6 -666.7 Transport & communications 8.0 4.9 -1.4 322.2 Business services 27.9 17.2 -4.2 55.6 Public services 22.3 22.5 22.9 388.9