1 Introduction

The increasing importance of offshoring (defined conventionally as the geographical separation of production activities across two or more countries, as in the classic paper by Feenstra and Hanson 1999), matched with an improved accessibility of data, has boosted the empirical literature on its effects on domestic labour markets.Footnote 1 The main emphases have been placed on the effects of offshoring on the employment/labour demand structure and wages (including the evolution of the skilled-unskilled wage gap).Footnote 2 So far, the main focus has been put on developed countries, as they are the countries whose labour markets are at risk of “losing” as a consequence of transferring parts of production (or tasks) abroad to less developed destinations. Unsurprisingly, much of the attention has been given to outcomes visible in the US labour market, considering primarily the effects of offshoring to such developing countries as Mexico (e.g., Sethupathy 2013), China or India (e.g. Liu and Trefler 2008), or to the results of occupational exposure to globalization due to rising import competition from China and other developing countries (e.g. Autor et al. 2013; Ebenstein et al. 2014; Acemoglu et al. 2014). Similar analyses have been performed to assess the offshoring response of labour markets in single advanced Western European countries (e.g. UK: Amiti and Wei 2005; Austria: Egger and Egger 2003; Belgium: Michel and Rycx 2012; Denmark: Hummels et al. 2014; Germany: Geishecker and Görg 2008; Baumgarten et al. 2013).

Many factors can affect wages.Footnote 3 In this paper, we focus on the industry-level response of wages paid in domestic industries (in which imported inputs are employed) to offshoring, in particular to low-wage countries (LWC).Footnote 4 However, as will be explained, we adopt a much wider perspective than that taken so far. Before describing our contribution, we will shed some light on the existing related evidence. Given the scope of our paper, we leave aside country-specific analyses based on worker-level or firm-level micro-data—as surveyed in Crinò (2009) or Castellani et al. (2015). Focusing on industry-level studies, most papers address the impact of the international sourcing of inputs on industry-level outcomes in terms of reduced employment/overall labour demand (e.g. Amiti and Wei 2005 for the UK; Acemoglu et al. 2014 for the US; Cadarso et al. 2008 for Spain; Falk and Wolfmayr 2005, 2008 for a small sample of EU countries; Hijzen and Swaim 2007 for 17 OECD countries; Michel and Rycx 2012 for Belgium). Overall, most of these studies tend to fail to support the view that substantial statistically significant job losses can be observed at the industry level directly due to offshoring. Import competition in industries exposed to foreign competition can have a stronger impact, as illustrated in a study by Acemoglu et al. (2014)—their estimates suggest net job losses in the US of 2.0–2.4 million stemming from the rise in import competition from China over the period 1999–2011.

Additionally, the impact of offshoring on changes in the skill composition of labour demand has been analysed, pointing towards a negative influence on the demand for less skilled workers. Regarding wider panel data studies, Foster-McGregor et al. (2013) employ WIOD data (40 countries, 1995–2009) and find that medium-skilled workers suffer the most in terms of shrinking labour demand as a response to offshoring (similar effects are documented in Timmer et al. 2013). Offshoring of services also appears to raise the relative demand for high- and medium-skilled workers (see Crinò 2012, covering 20 industries and nine Western EU countries over 1990–2004).

Is the source of imports important when assessing the labour market effects of offshoring? Egger and Egger (2003) introduced a crucial distinction between offshoring to low-wage and high-wage countries, while Bernard et al. (2006) distinguished between imports from high-income versus low-income countries. Since then, a division of offshoring by the source country has been employed in other studies too, including ones performed at the industry level. Despite conventional worries, Falk and Wolfmayr (2005) estimate that rising intermediate imports from low-wage countries may account for a relatively small reduction in manufacturing employment of only 0.25 percentage points per year in their sample of seven EU countries (1995–2000), while a study by Falk and Wolfmayr (2008) finds no significant effect of services purchased from low-wage countries on manufacturing employment.

There is not so much broad evidence on the effects of offshoring on wages. The recent micro-level papers investigating the impact of international outsourcing on the wages of individual workers are country-specific and limited to countries with good access to micro-data (such as the US: Ebenstein et al. 2014; Autor et al. 2014; Germany: Geishecker and Görg 2008; Denmark: Hummels et al. 2014; UK: Geishecker and Görg 2013) or limited to very small samples of countries. Again, contrary to common fears, the estimated wage cuts due to outsourcing appear to be rather small in economic terms.Footnote 5 For instance, Geishecker et al. (2010) use data for Germany, the UK and Denmark (1991–1999) and find a small negative and weakly statistically significant effect of offshoring on wages in Germany, a positive effect in the UK and no statistically significant effect in Denmark. When they consider different skill categories of workers, a negative effect found only for Germany accrues to low-skilled workers (but it is smallFootnote 6) while for low-skilled UK and Danish workers they cannot identify any outsourcing effect. For the UK, a sizable negative and statistically significant wage effect stems only from outsourcing to CEEC but it vanishes when put in the perspective of real data.Footnote 7 In their industry-level study performed for a wide sample of EU27 countries, Parteka and Wolszczak-Derlacz (2015) also conclude that offshoring reduces the wage growth of domestic medium- and low-skilled workers. However, they show that this negative effect is economically small.

Building upon the existing literature briefly summarized above, our aim is to provide worldwide evidence on the offshoring-wage nexus using industry-level data and hopefully complementing the existing studies performed at other levels of detail but limited along the country dimension. We aim to fill some important gaps in the related empirical literature.

First, we consider a long panel of industrial data (13 manufacturing industries in 40 countries over the period 1995–2009Footnote 8) derived from the World Input–Output Database (WIOD—Timmer et al. 2015) which covers between 82 and 96 % of the international trade in intermediate goods (depending on the sector and year of analysis). We thus provide representative evidence on the global trends in offshoring and, in contrast to the many country-level studies, exploit its wage effects in a multi-country setting.

Moreover, given the crucial heterogeneity of workers in international trade analysis (Grossman 2013), we consider the wages of three skill groups separately (low, medium and highly skilled), focusing on the effects on the workers who are potentially most at danger—the low and medium skilled ones. Even though WIOD has already been used (in a more restricted manner) in some related studies (e.g. Foster-McGregor et al. 2013; Schwörer 2013; Parteka and Wolszczak-Derlacz 2015), to the best of our knowledge this is the first time that the response of skill-specific wages to offshoring has been analysed in a worldwide cross-country perspective over a significant time period.

In addition, while we correlate the wage levels of workers with offshoring intensity, we decompose the latter by country of origin.Footnote 9 This is done in order to explicitly check for the effects of offshoring to developingFootnote 10 and low-wage countries (LWC) on domestic wages. In particular, we use four alternative LWC classifications.Footnote 11 Importantly, we go beyond standard very rough groupings of LWC based on comparisons of income per capita or an arbitrary attribution of countries to the low-wage category. Due to the use of industry-level wage data, we obtain flexible classification of LWC over time and by industry. Moreover, drawing on bilateral input–output tables, we directly split imported inputs according to the country of origin of the imports (rather than using a proportional method based on shares of total imports, which is employed instead of using tables of imports by country of origin, as in Falk and Wolfmayr 2008; Hertveldt and Michel 2013). We also allow for changes in the relative positions of LWC over time, and the existence of industry-specific wage advantages.

Finally, we adopt a decomposition of conventional overall offshoring measures (calculated—in the spirit of Feenstra and Hanson 1999—as the sum of imported inputs related to the total value of production of the industry in which they are used) into purely international and domestic components. As Castellani et al. (2013) argue, typical measures of offshoring tend to overestimate the role of international components (imported inputs) and neglect the role played by structural changes and flows of intermediates within the domestic economy. Consequently, the adopted decomposition allows us to distinguish between the wage effects of the international component of outsourcing and the effects of domestic outsourcing practices.

The rest of the paper is organised as follows. In Sect. 2, we present the data used in our empirical analysis, and in Sect. 3 we present some crucial facts concerning the trends in offshoring and wages in the period analysed. Section 4 focuses on the estimated empirical model. Results are presented in Sect. 5 starting from the most general setting and then taking into account specificities of source countries and destination countries. Endogeneity in the wage-offshoring relationship is addressed through the use of a gravity-based instrument. Finally, Sect. 6 concludes.

In a nutshell, the main results of our analysis are the following. We document that in the period analysed the intensity of manufacturing offshoring to LWC rose (on average) from 0.025 to 0.075 of the industry value added. However, we find that increasing offshoring (in particular to LWC) is related to a decrease in the industry-level wages of domestic low- and medium-skill workers, but this effect, albeit statistically significant, is relatively small. We estimate that, ceteris paribus, a rise in offshoring to LWC of 1 % can be associated with a decline in domestic low (medium) skill workers’ wages of approximately 0.08 % (0.07 %).Footnote 12

2 Data and measurement of offshoring

Our data come from the World Input–Output Database (WIOD—described in Timmer et al. 2015), consisting of the World Input–Output Tables, WIOT (release: November 2013) and the WIOD Socio Economic Accounts, SEA (update: July 2014). The database reports industry-specific data on socio-economic accounts (value added, gross output etc.) and international input–output tables across 35 industries and 40 countries (plus the rest of the world). After careful inspection of the data, we chose to deal with a broad country sample but restrict our analysis to the 13 manufacturing industries reporting more reliable statistics and excluding raw materialsFootnote 13 (see Tables 9 and 10 in the “Appendix” for a list of the industries and countries). In particular, using information on labour compensation and hours worked over the period 1995–2009 (see footnote 8), we compute the real hourly wages expressed in 2005 USDFootnote 14 of three distinct skill groups of workers (h—high-, m—medium- and l—low-skilled; the classification is based on educational attainment) for each country, industry and time period.

Input–output data serve to compute offshoring measures. In the first instance, using information on imported intermediates from WIOD, we calculate conventional industry-specific offshoring indices (Feenstra and Hanson 1999), defined as the ratio of imported intermediate inputs to the value added in the industry in which they are employed.Footnote 15 In all the specifications, we take into account a broad measure of offshoring,Footnote 16 OFF (also called inter-industry offshoring), which is given by the ratio of intermediate purchases (m) imported by industry j in destination country i at time t, supplied by all industries k = 1,…, K (k = j and k ≠ j) to industry j’s value added (VA):

$$OFF_{ijt} = \frac{{\sum\nolimits_{k = 1}^{K} {m_{ikjt} } }}{{VA_{ijt}^{{}} }}$$
(1)

This broad measure allows us to capture the inter-industry effects of offshoring on the performance of industries incorporating cross-industry spillovers, which need not be the same as intra-industry effects.Footnote 17

Furthermore, following Castellani et al. (2013), we decompose the offshoring index (1) into its international and domestic components:

$$OFF_{ijt} = \frac{{\mathop \sum \nolimits_{k = 1}^{K} m_{ikjt} }}{{VA_{ijt} }} = \underbrace {{\left[ {\frac{{\mathop \sum \nolimits_{k = 1}^{K} m_{ikjt} }}{{\mathop \sum \nolimits_{k = 1}^{K} d_{ikjt} }}} \right]}}_{IntOUT} \times \underbrace {{\left[ {\frac{{\mathop \sum \nolimits_{k = 1}^{K} d_{ikjt} }}{{VA_{ijt} }}} \right]}}_{DomOUT}$$
(2)

where d is the value of the inputs coming from domestic industries employed in industry j. The first expression is the ratio of imported inputs to domestic ones (IntOUT—international outsourcing) while the second reflects the intensity of domestic outsourcing (DomOUT).Footnote 18 As Castellani et al. (2013) argue, offshoring indices calculated as the share of imported inputs over production (Eq. 1) ignore the role played by structural changes in the domestic economy, reflected in the DomOUT component, and tend to overestimate the role played by sourcing to foreign destinations.

Our database comprises many different countries, so we adopt a gradual analysis, taking into account the heterogeneity of both the source countries (to which offshoring takes place) and the destination countries (where we examine the wage effects of offshoring). In the first instance, we consider flows of intermediates imported from all 40 countries (so we consider all the countries of origin) and then disentangle the effects of offshoring. To do this, the measures defined in Eqs. 1 and 2 are recalculated taking into account the source of imports. In particular, we go beyond the standard consideration of imports from developing countries and explicitly assess the wage effects of offshoring to low-wage countries (LWC), denoted by OFF_LWC or IntOUT_LWC and only take into account inputs imported from LWC.

In the absence of wage data which are comparable across many countries, most previous papers have used a rather indirect way of defining low-wage countries (LWC), assuming that countries with a low income per person also have low wages. The common definition of LWC relies on a comparison of GDP per capita to a benchmark country (e.g. the US) setting some arbitrary threshold. For instance, Federico (2014) defines LWC as countries whose GDP per capita was less than 10 % of US GDP per capita in the final year of his sample; while Bernard et al. (2006) and Khandelwal (2010) adopt a threshold of 5 % of US GDP per capita. We overcome this limit by using the WIOD socio-economic accounts data, which allow us to compare wages across a wide sample of countries. Hence, an important novelty of our approach lies in the fact that we quantify offshoring to LWC on the basis of a precise identification constructed with wage data at the industry level.

We employ four alternative definitions of low-wage countries (LWC), which are summarized in Table 1. A file containing full set of LWC classifications can be downloaded from the journal’s webpage as additional online material accompanying the paper. The first definition is similar to that adopted by Federico (2014), but we take into account changes in relative income per capitaFootnote 19 taking place over time (note that in 1995—the first year of our analysis—eight countries were below the threshold, while in 2009—the last year of analysis—only three were, so keeping this classification constant and basing it only on the final year would have been over-simplistic). Similarly, classifications (2)–(4), based on a direct comparison of wages, allow for changes in relative wage levels over time. Classification (2) defines as low-wage those countries where the average wage (reported in industry “Total”) in year t was below 10 % of the US wage levelFootnote 20 in year t. This classification is constant across industries but varies over time, as some countries might have experienced a convergence of wages towards US levels. However, a decision to outsource parts of production abroad is likely to be based on the evaluation of cross-border labour cost differentials in specific industries, and not in the economy as a whole, so classification (3) is even more detailed. This comparison of wages is performed within every industry: a given country is defined as a LWC for industry j and year t if the wage level in this industry is below the threshold set at 10 % of the US wage in the same industry j and at time t. Finally, classification (4)—the most detailed and our preferred one—uses the average sectoral wage in the whole sample of countries as a benchmark (and not the US wage as before): a given country is defined as a LWC for industry j and year t if the wage level in this industry is below a threshold set at 30 % of the average wageFootnote 21 paid globally in the same industry j and at time t. The examples shown in Table 1 confirm two things: (i) classification (1) is likely to be biased, and (ii) the cross-industry variability of wages, visible when classifications (3) and (4) are employed, should be taken into account, as some countries are revealed as ‘low-wage’ only for certain industries. This is clearly visible in Table 11 (in the “Appendix”): in 2009 countries such as Bulgaria and China could be put in the LWC category for all manufacturing sectors, but this is not true in the case of, for instance, countries such as Romania and Turkey.

Table 1 Low-wage countries (LWC)—alternative classifications adopted.
Table 2 Imported manufacturing intermediates split by country of origin, shares (in %).
Table 3 The impact of global offshoring on wages (lnw sijt )—FE estimation.
Table 4 The impact of global offshoring on wages (lnw sijt )—IV estimation.
Table 5 The impact of offshoring on wages of low-skilled workers (lnw sijt )—IV estimation, source countries split into low-wage and high-wage countries (LWC and HWC).
Table 6 The impact of offshoring on wages of medium-skilled workers (lnw sijt )—IV estimation, source countries split into low-wage and high-wage countries (LWC and HWC).
Table 7 The impact of global offshoring on wages (lnw sijt ) in developed countries—IV estimation results.
Table 8 The impact of offshoring on wages of low-skilled workers (lnw sijt ) in developed countries—IV estimation, source countries split into low-wage and high-wage countries (LWC and HWC).
Table 9 List of manufacturing industries
Table 10 List of countries and division between developed and developing countries
Table 11 Countries classified as low-wage according to classification 4 (2009)

3 Descriptive evidence

Our data confirm a substantial rise in offshoring in recent decades. The manufacturing offshoring intensity in our sample of 40 countries—measured in the broad sense as the ratio of imported intermediate inputs to the value added, as in Eq. (1)—rose from 0.24 in 1995 to 0.30Footnote 22 in 2008 (and then there was a drop in 2009 due to the global crisis). This is illustrated in Fig. 1. The common view, nourishing fears of cross-border labour substitution and/or a downward pressure on domestic wages, is that intermediates are sourced mainly from developing countries. Is this really the case? In order to answer this question, we shall first show the evidence concerning the classic developing/developed countries division and then move on to using a country grouping based on explicit wage information.

Fig. 1
figure 1

Trends in manufacturing offshoring—overall and by source countries. Note Offshoring intensity is measured in a broad sense as the ratio of imported intermediate inputs to the value added (Eq. 1). Weighted averages across 13 manufacturing industries (Table 9 in the “Appendix”). The weights correspond to industry size (employment). a all 40 destination countries, b only developed countries retained as destination countries (countries listed in Table 10 in the “Appendix”). Source: own elaboration with input–output data from WIOD

Table 2 reports the relative shares of different source countries (or country groups) in the total value of intermediates imported by the 40 countries in our sample (panel A) or only by developed countries (panel B) in the border years of our analysis (1995 and 2009). In reality, the majority of intermediate goods (approx. 81 % in 2009) are still imported from developed countries. However, a change in the direction of offshoring is evident: the share of imports of intermediates from developing countries more than doubled. In 2009, over 10 % of all manufacturing intermediates came from China (four times more than in 1995). India’s share is significantly lower, but despite its specialization in services offshoring, this country managed to improve its position as a source market of intermediate manufacturing goods. Considering developed countries as countries of origin, the importance of the EU15 and G8 as source markets of intermediate goods strongly decreased, whereas for the U.S. the fall was less pronounced but still visible. The figures reported in panel A and panel B are fairly similar, with only a few differences concerning a slightly greater relative importance of the EU15 as sources of imports for developed countries than in the overall sample (especially in 2009, when half of the inputs imported by developed countries came from the EU15).

Figure 1 shows how the intensity of manufacturing offshoring to developing countries evolved in time in comparison with overall offshoring intensity and offshoring to developed countries. Here, the numbers refer to the share of the value of imported inputs with respect to the industry value added (calculated as in Eq. 1). Plot A shows the trends typical for all 40 destination countries in our sample, while plot B refers to the restricted sample of destination countries: only developed countries. When the sample is restricted (plot B), we note that the offshoring intensity in this group is generally higher. In line with Table 2, it is notable that offshoring to developed countries accounts for most overall offshoring (but a decline, probably due to the global crisis, is clearly visible). However, offshoring to developing countries was constantly growing (for all the 40 countries in our sample—plot A—in 1995 on average it accounted for 2 % of manufacturing value added, and already for 7 % in 2009; for developed countries—plot B—the values are 3 % in 1995 and 8.5 % in 2009 respectively).

Given our interest in offshoring to low-wage markets, Fig. 2 shows the trends concerning offshoring intensity calculated only with imports from LWC. Independently of the LWC classification adopted (see Table 1), a constant rise in offshoring to countries characterized by low wages is observed. The solid black line, referring to our benchmark LWC classification (4) and based on a comparison of wages within industries and with respect to the global level, indicates that the offshoring to LWC directed to the 40 countries in our sample (plot A) rose from 2.5 % of value added in 1995 to 7.5 % in 2009. Plot B shows that the offshoring from developed countries to LWC rose from 2.8 % of the developed countries’ value added in 1995 to 8.5 % in 2009.

Fig. 2
figure 2

Trends in manufacturing offshoring to low-wage countries (LWC). Note Offshoring intensity measured in a broad sense as the ratio of intermediate inputs imported from low-wage countries (classifications in Table 1) to the value added. Weighted averages across 13 manufacturing industries (Table 9 in the “Appendix”). The weights correspond to industry size (employment). a all 40 destination countries, b only developed countries retained as destination countries (countries listed in Table 10 in the “Appendix”). Source: own elaboration with input–output data from WIOD

An important question thus emerges: is there any relationship between the rise in offshoring to LWC and the wages paid in domestic industries sourcing parts of their production processes to LWC? Typically, low- and medium-skilled workers (whose tasks are easily outsourced) in developed countries are afraid of pressure from foreign low-wage competitors. Figure 3 shows simple plots relating the log of low-skilled workers’ wages paid in manufacturing industries in developed countries to industry exposure to offshoring. Plot A, obtained with the overall offshoring measure, shows that there is practically no relationship between the two variables. Here, offshoring is measured independently of the type of source country of the imported inputs. However, when we account for offshoring to LWC only (plot B), a negative relationship emerges. This evidence, so far unconditional on any other factors possibly affecting wages, will be tested with the formal empirical model.

Fig. 3
figure 3

Relationship between offshoring intensity and low skilled wages in developed countries. Note Offshoring measured in a broad sense as the ratio of imported intermediate inputs to the value added (Eq. 1). Sample analysed: 13 manufacturing industries (Table 9 in the “Appendix”), 31 developed countries (Table 10 in the “Appendix”), 1995–2009. a offshoring to all 40 countries, b: offshoring only to LWC (according to classification 4). The lines correspond to LOWESS approximations (span = 0.8), the dots represent country-industry-year observations. Source: own elaboration with input–output data from WIOD

4 The model

4.1 Theoretical foundations

The description of mechanisms relating trade (including trade in parts and components due to offshoring) and wages is present in several strands of international economics literature.Footnote 23 Importantly from the point of view of our empirical analysis, the theories evolved in the direction of showing that wage effects stemming from outsourcing/trade shocks can vary across skill classes of workers.

The first wave of research on trade and wages (e.g. Borjas et al. 1997) relied on Hecksher-Ohlin (HO) framework which emphasizes differences in factor intensities across sectors and factor endowments across countries. Less educated workers (whose tasks are easier to be moved to foreign destinations) have been typically perceived to be more at risk of experiencing a wage loss. As we will show in the empirical analysis, this indeed is true (albeit the effect is small). Stolper-Samuelson theorem was used to address the implications of trade (especially with less developed countries) for the labour markets: trade-induced industry level shocks result in changes in goods prices, which in turn change factor prices (wages). The ‘cone of diversification’ was assumed to be fixed, so the next class of models (e.g. Feenstra and Hanson 1999; Grossman and Rossi-Hansberg, GRH 2008) allowed for the change in the set of goods produced in the country. In particular, GRH introduced the ‘task trade’ approach and focused on the adjustment of the bundle of domestically provided intermediate inputs, resulting from the division of tasks into those which are performed at home and those which are offshored. In terms of guidelines for the empirical analysis, GRH show that there is no unique outcome of trade/offshoring shock: e.g. the evolution of low skill wages will depend on the net effects of offshoring on productivity, prices and labour supply.

In general, the attempts in the recent years have been focused on building models which incorporate features of various theoretical frameworks, moving the theory as close to the reality as possible. The Ricardian framework (focusing on productivity differences across countries), has been modified by Rodríguez-Clare (2010) who embodied the GRH approach in a Ricardian model à la Eaton and Kortum (2002). There have also been attempts to match HO and Ricardian explanations. Burstein and Vogel (2011) present an interesting unifying framework which links traditional mechanism featuring sectoral productivity and factor endowment differences with the development of new–new trade theory. They incorporate firm heterogeneity into the modelling of the link between globalization and factor prices. Wages are defined by firm productivity: more productive firms use more intensively high skilled labour, so free trade affects wages through Melitz-type mechanism of firm selection and within-industry shifts of employment towards the most productive firms. Finally, Baldwin and Robert-Nicoud (2014) proposed an analytical model in which both trade in goods and trade in tasks arise, so they matched HO and GRH frameworks.

Our empirical specification is rooted in the Ricardian model of skills, tasks and technologies presented by Acemoglu and Autor (2011).Footnote 24 They explicitly distinguish between tasks and skills, with the former understood as units of work activity that produce output, and the latter as workers’ endowments of capabilities for performing various tasks. The model incorporates three types of labour: h—high-, m—medium- and l—low-skilled, all of which can perform given tasks, with the assumption that more complex tasks are performed by high-skilled workers, routine tasks by middle-skilled and manual by low-skilled labour.Footnote 25 Generally, tasks can be performed by workers with different types of skills, automated using machines, or offshored and performed by workers in other countries. This concept of offshoring competing for tasks follows the model in Grossman and Rossi-Hansberg (2008).

To sum up, the wages of workers with different skills are defined simply as a function of the labour supply (L s ) and task assignments (I s ), with s = {h,m,l}. The allocation of tasks is further determined by capital (K), which can also supply tasks by substituting labour and through offshoring opportunities: I s  = f(OFF). This yields the skill-specific wage function: W s  = f(L s KOFF), which is the basis of our empirical setting.

4.2 Empirical specification

In order to empirically examine the link between offshoring and wages, we estimate different variants of the following regression:

$$\text{ln}w_{sijt} = \alpha + \beta_{1} \text{ln}k_{ijt} + \beta_{2} \text{ln}L_{sijt} + \beta_{3} \text{ln}OFF_{ijt - 1} + D_{it} + D_{ij} + D_{t} + \varepsilon_{sijt} \vee s = \left\{ {h,m,l} \right\}$$
(3)

where i denotes the country, j the industry, t is time and s is the skill category. Variable k refers to the capital to labour ratio,Footnote 26 L is the total number of hours worked per person engaged and OFF is the measure of offshoring intensity defined in (1). To take into account a possible time delay between offshoring and wage adjustment, the offshoring intensity (OFF) is introduced as a lagged variable (the same approach is used in Ebenstein et al. 2014). In order to pick up any other unmeasurable specific effects (e.g. technological change, business cycle), we include a set of year dummies, as well as country-time dummies and country-industry fixed effects.Footnote 27

In an augmented specification we also include the offshoring components (DomOUT and IntOUT—domestic and international outsourcing) obtained from decomposition (2):

$$\text{ln}w_{sijt} = \alpha + \beta_{1} \text{ln}k_{ijt} + \beta_{2} \text{ln}L_{sijt} + \beta_{3} \text{ln}DomOUT_{ijt - 1} + \beta_{4} \text{ln}IntOUT_{ijt - 1} + D_{it} + D_{ij} + D_{t} + \varepsilon_{sijt} \vee s = \left\{ {h,m,l} \right\}$$
(4)

Finally, to allow for the possibility that offshoring to low-wage countries (LWC) might have different effects to offshoring to high-wage countries (HWC), we include intermediate imports from LWC and HWC as separate regressors, yielding the following equation:

$$\text{ln}w_{sijt} = \alpha + \beta_{1} \text{ln}k_{ijt} + \beta_{2} \text{ln}L_{sijt} + \beta_{3} \text{ln}DomOUT_{ijt - 1} + \beta_{4} \text{ln}IntOUT\_LWC_{ijt - 1} + \beta_{5} \text{ln}IntOUT\_HWC_{ijt - 1} + D_{it} + D_{ij} + D_{t} + \varepsilon_{sijt} \vee s = \left\{ {h,m,l} \right\}$$
(5)

5 Results

5.1 Overall effect of offshoring on wages—all source countries, full sample of destination countries

In this section we present the results of the most general estimation of the empirical models (Eqs. 3 and 4) taking into account the full sample of countries and offshoring independently of the source country of imports. We start with a fixed effects estimator (which allows for time-invariant country-industry specific effects). Table 3 presents the estimation results of the wage regression model for low- (Columns 1 and 2), medium- (Columns 3 and 4) and high-skilled workers (Columns 5 and 6). As predicted by theory, for all the skill categories we obtain statistically significant and positive parameters associated with the capital-labour ratio (k) and negative parameters in the case of skill-specific labour supplies (L). Offshoring intensity is, however, our main variable of interest. OFF (calculated as in Eq. 1), appears to have a significant negative impact on the wages of low-, medium- and high-skilled workers employed in domestic manufacturing sectors. However, as reported in columns 2, 4 and 6, when OFF is decomposed into pure international and domestic parts, in the empirical model (4), then the negative and statistically significant effect of IntOUT on wages is only sustained in the case of low-skilled labour. Additionally, domestic outsourcing (DomOUT) does not affect the wages of any skill category in a statistically significant way.

However, we are aware of potential endogeneity issues in the models estimated. First, regarding labour (L) as the explanatory variable, industry‐level wages and employment by skill level may be determined simultaneously. Second, there can be a two-way relationship between offshoring and wages e.g. the level of wages where the production is offshored is crucial. On the basis of endogeneity tests (Table 12 in the “Appendix”) we cannot reject the hypothesis that L and DomOUT can be treated as exogenous, while exogeneity of the offshoring variables (OFF, IntOUT) is strongly rejected.

Table 12 Endogeneity tests
Table 13 The impact of offshoring on wages of high-skilled workers (lnw sijt )—IV estimation, source countries split into low-wage and high-wage countries (LWC and HWC).

To address this issue, we adopt a gravity-based strategy (extending Frankel and Romer’s 1999 traditional approach to sectoral-level data as in Di Giovanni and Levchenko 2009) to construct an instrument for our offshoring indices. Using the data on bilateral imports in the panel analysed (40 countries, 13 manufacturing industries, 1995–2009), we estimate a gravity model in which bilateral trade in intermediate goods is regressed on the log of the reporter’s and the partner’s value added, the log of the distance between the countries, and dummy variables for a common land border, common official language, common currency, former colonial relationship and membership in a common regional trade agreement. For each of the industries and reporter countries, the predicted values of trade flows are then summed across all the partner countries or, alternatively, across selected partners to obtain an instrument for intermediate goods trade with the groups considered in our analysis (e.g. LWC).Footnote 28

The IV results, corresponding to the Table 3 FE estimations, are reported in Table 4. The instrument validity is confirmed by under-identification and weak identification tests. In this specification, only offshoring (OFF), measured globally, has a significant and negative impact on the wages of low- and medium-skilled workers, with low estimated elasticity (approx. −0.1).

The results in Table 3 and Table 4 should be treated as a first step in the deeper examination of the offshoring-wage nexus. In the first instance, we shall take into account the characteristics of the countries from which inputs are imported.

From now on, we will concentrate on the results obtained with the use of IV estimates employing the gravity-based instrument.

5.2 Exploring the heterogeneity of source countries: the wage effect of offshoring to low-wage countries

Tables 5 and 6 report the results referring to the effects of offshoring when we distinguish between intermediate imports from low-wage (LWC) and high-wage countries (HWC). In order to assure the maximum level of detail and to allow for structural change effects and domestic outsourcing, we report the results obtained once the decomposition (Eq. 2) of the general OFF measure is taken into account using empirical specification (5). We focus on the wages of workers who are potentially most at danger: the low- (Table 5) and medium-skilled (Table 6).Footnote 29

The subsequent columns in Table 5 show the results of the regression estimations employing alternative classifications of LWC (summarized in Table 1—classification 4 is our preferred one) for the low-skilled workers. Whichever alternative classification of LWC we use, we find a negative effect of offshoring to LWC on the wages of low-skilled labour. The estimated elasticities are, however, very small (in the absolute terms below 0.1). For instance, sticking with classification (4) of LWC and when we account for domestic structural change (results in column 4 of Table 5), a rise in offshoring to LWC of 1 % is associated with a decrease in the wages paid to domestic low-skilled workers of only 0.085 %. There is no significant impact of offshoring to HWC. Additionally, a negative effect of domestic fragmentation on wages emerges (a negative parameter associated with DomOUT).

In Table 6 we present the analogous results for medium-skilled labour. In general, the results for medium-skilled workers and similar to those for the low skilled. However, the magnitude of the parameter is slightly lower e.g. for classification (4) for medium-skilled workers it is equal to −0.068 (column 4 of Table 6).Footnote 30

5.3 Exploring the heterogeneity of destination countries: the effect of offshoring on wages in developed countries

The big advantage of our dataset is its wide country coverage (40 countries). We have already shown the importance of distinguishing the country of origin of intermediate imports but we have not yet explored the heterogeneity on the left-hand side of the estimated equations (Eqs. 35). Given that approximately three-quarters of imported manufacturing intermediates are directed to developed countries,Footnote 31 and following worries of workers in these countries concerning foreign competition, we will explicitly deal with the effects of offshoring on wages in developed economies.Footnote 32

Table 7 presents the results obtained for the restricted sample of destination countries (excluding developing countries), corresponding to the estimates concerning all 40 countries reported in Table 4. Overall offshoring (OFF, imports from all countries—independently of type) turn out to exhibit a downward pressure on the wages of low- and medium-skilled workers employed in developed countries (results in columns 1 and 3). This negative impact of foreign sourcing is also sustained when OFF is decomposed (a negative and statistically significant parameter for IntOUT is reported in columns 2 and 4). Again the magnitude of the parameters are relatively low, with elasticises both for low and medium-skilled workers lower than |0.1|. There is no effect on high skilled workers in developed countries.

The next step is to explicitly assess the role of offshoring to LWC on the wages of low-skilled workers employed in developed countries. As Table 8 shows, after separating the role of domestic sourcing, the parameter associated with international offshoring to LWC (IntOUT_LWC) turns out to be negative and statistically significant, but small. Alternative LWC classifications do not significantly alter this result.

5.4 Alternative specifications and robustness checks

In this study, we are primarily interested in the effect of offshoring on domestic wages. Hence, our baseline specification (3) assumes that the main channel of the offshoring impact on the labour market is through wage adjustment. In the model we observe this outcome (wages) only for the employed. However, we are aware that there are other channels to be considered. First of all, and especially if wages are rigid, the adjustment of domestic labour markets to the movement of some parts of production abroad can materialize through a drop in employment.Footnote 33 Autor et al. (2013) argue that in such cases estimates of wage adjustment can be biased. Additionally, offshoring can impact domestic wages indirectly—through productivity changes (this argument is present in theoretical models of trade in tasks, such as Grossman and Rossi-Hansberg 2008), e.g. an increase in productivity due to global production sharing should raise wage levels. If offshoring really lowers employment and/or raises productivity, then the inclusion of labour and capitalFootnote 34 controls in the estimated wage regression eliminates important channels through which offshoring impacts wages. In the first robustness check we thus compare our baseline specification (in which we hold employment and capital fixed) with the model allowing employment and capital intensity to change in response to offshoring.Footnote 35 The results are presented in Tables 14 and 15 (columns 1 and 2) in “Appendix”. The modified model yields a very similar response of low and medium-skilled workers’ wages to offshoring to LWC to that obtained when employment and capital are both controlled for.Footnote 36

Table 14 Robustness check: the impact of global offshoring on wages (lnw sijt )—IV estimation, specification without labour or capital controls.
Table 15 Robustness check: the impact of offshoring on wages of low and medium-skilled workers. Specification without labour and capital controls (columns 1 and 2); specification with additional variables (columns 3 and 4).

Our second robustness check is motivated by the fact that wage rigidity varies substantially across countries, due to the diversity of labour market institutions. So far, domestic labour market conditions and regulations have not been explicitly taken into account, as the set of dummies and fixed effects should have picked up the effects specific to single countries and industries. Nevertheless, we augment the baseline regression with some additional country-specific covariates, such as the unemployment rateFootnote 37 and the degree of wage-setting coordination.Footnote 38 After controlling for diversity in labour market conditions in this way, the results (reported in Tables 15—columns 3 and 4 and in Table 16 in “Appendix”) do not change dramatically: the negative effect of offshoring on domestic wages materializes through imports from LWC and concerns mainly low- and medium-skilled workers. As expected, unemployment negatively affects the wages of all the skills groups and the wage bargaining setting is important for the determination of wages. Assuming that centralized wage-bargaining systems are less flexible than decentralized ones, in countries with rigid wages offshoring should have stronger effects on employment than on wages.Footnote 39 Indeed, the magnitude of the estimated elasticity between wages and IntOUT and IntOUT_LWC is here lower (−0.054 for low-skilled and −0.036 for medium-skilled) than in the results reported in the main text (Tables 5 and 6).

Table 16 Robustness check: the impact of global offshoring on wages (lnw sijt )—additional variables: unemployment rate (UN), degree of wage-setting coordination (Coord).

A third robustness check considers sector heterogeneity.Footnote 40 Our panel consists of 13 manufacturing sectors which differ in offshoring intensity and can differ in their reaction to its changes. The country-sector and sector-year individual effects incorporated in our baseline specification (Eq. 3) should have controlled for this. However, we do some additional robustness checks. In order to check whether the results are driven by any specific industry (note that manufacturing coke and petrol products has already been eliminated from the sample), we repeat all the estimates, eliminating each of our 13 sectors one by one and running the regression for the remaining 12. The results are very similar to the baseline ones. In particular, the point estimates obtained for the IntOUT_LWC variable (analogous to those in Table 5) are between −0.079 (when industry “Manufacturing not elsewhere classified; Recycling” is eliminated) to −0.097 (when “Electrical And Optical Equipment” is not taken into account). This exercise also addresses the problem of interpreting machinery intermediate imports as an offshoring practice, which is raised by some authors,Footnote 41 since our results are robust to the exclusion of machinery imports from the sample (point estimate −0.083).

Next, in order to check the relationship between offshoring and the technological content of the activities of an industry (for example, Hertveldt and Michel 2013 argue that offshoring is less common for high-tech industries as it requires more sophisticated inputs), we test for differences between high‐tech and low‐tech industries.Footnote 42 We introduce into the model an interaction term between offshoring and a high-tech industry dummy (or a term for interaction between offshoring to LWC/HWC and the high-tech dummy). Following Wooldridge (2010), we instrument this using an interaction between high‐tech and our instruments for offshoring. Table 17 presents the results. Indeed, the wage drop due to offshoring is stronger for low-tech industries; for high-tech industries a positive and statistically significant coefficient on the interaction term suggests that the effect of offshoring on wages is weaker.

Table 17 Robustness check: sector heterogeneity (high-tech versus low-tech industries).

The final robustness check considers the possible interdependence of wages of different skill categories of workers. To take this issue into account, we estimated the model through three-stage least squares (3SLS) in which we combine the system estimation of SUR with the instrumental variables method of 2SLS (Zellner and Theil 1962). The results of this exercise are very similar to our baseline specification as far as the significance of the parameters and their magnitude are considered (see Table 18 in “Appendix”).

Table 18 Robustness check: three-stage least squares SUR regression.

6 Conclusions

This paper extends the literature on the implications of offshoring for labour markets by investigating its effect on the wages of different skill groups in a broad global context. Outsourcing can be viewed as a specific facet of deepening trade integration, in particular the recent wave of globalisation and the so-called second unbundling (expression coined by Baldwin). The aim of our study is to test ambiguous effects of offshoring on wages in the presence of task relocation. Our analysis draws on input–output data from the WIOD project and in the panel analysed (13 manufacturing industries, 40 countries, 1995–2009) we have captured up to 96 % of international trade in manufacturing inputs. Being particularly interested in the wage effects of offshoring to developing and low-wage countries (LWC), we employ novel, precise LWC classifications (varying across industries and time) to decompose global offshoring by source country.

Some shortcomings of this study need to be admitted, mainly regarding the specification of our offshoring measure, which is expressed as imported intermediate inputs. First, in order to guarantee that we consider the process of production fragmentation rather than purchasing natural resources we excluded raw materials from our industry sample. Second, the increased use of inputs (together with imported inputs) can be simply the consequence of production growth. We minimalized this problem by taking into account the size of the industry through an employment variable and a set of dummies, especially country-industry and industry-time. Third, it may be that offshoring is the result of domestic structural changes e.g. through substituting foreign inputs for inputs previously purchased from another domestic supplier. Since we are explicitly interested in the case when foreign inputs substitute inputs previously produced within the firm, we performed the decomposition ruling out domestic outsourcing. However, it should be noted that a limitation of our study (and other papers which use input–output tables to compute offshoring indices) is that we are unable to account for offshoring of final production stages or of products which are not re-imported but exported to third markets (Hijzen et al. 2005).

We find that the negative effect of offshoring on the domestic wages of low- and medium- skilled workers is connected with imports from low-wage countries, but in terms of magnitude this effect is rather small. The negative effect is not found for high-skilled workers. These results are confirmed in a number of robustness checks.

Our findings that domestic wages do not dramatically decrease due to offshoring is in line with the results of some other industry-level studies, such as Edwards and Lawrence (2010), Ebenstein et al. (2014), or Parteka and Wolszczak-Derlacz (2015). A possible explanation is that the downward pressure from offshoring is cancelled by increased productivity, which may raise wages. Autor et al. (2013) oppose the lack of significant effects of import exposure on manufacturing wages to the impact felt outside manufacturing sectors. Alternatively, Ebenstein et al. (2014) conclude that wage adjustment materializes not at the level of industries but at the level of occupations. However, due to the industry nature of our data we have not been able to address this issue. There is a trade-off between our extensive data coverage (40 countries, 13 manufacturing sectors) and the detail of micro-level information usually available for a limited number of countries. The link between offshoring and wages is of great importance for policy recommendations and hence needs to be analysed comprehensively both from macro- and micro-level perspectives.