International trade barriers and regional employment: the case of a no-deal Brexit

We use the World Input–Output Database (WIOD) combined with regional sectoral employment data to estimate the potential regional employment effects of international trade barriers. We study the case of a no-deal Brexit in which imports to the United Kingdom (UK) from the European Union (EU) would be subject to tariffs and non-tariff trade costs. First, we derive the decline in UK final goods imports from the EU from industry-specific international trade elasticities, tariffs and non-tariff trade costs. Using input–output analysis, we estimate the potential output and employment effects for 56 industries and 43 countries on the national level. The absolute effects would be largest in big EU countries which have close trade relationships with the UK, such as Germany and France. However, there would also be large countries outside the EU which would be heavily affected via global value chains, such as China, for example. The relative effects (in percent of total employment) would be largest in Ireland followed by Belgium. In a second step, we split up the national effects on the NUTS-2 level for EU member states and additionally on the county (NUTS-3) level for Germany. The share of affected workers varies between 0.03% and 3.4% among European NUTS-2 regions and between 0.15% and 0.4% among German counties. A general result is that indirect effects via global value chains, i.e., trade in intermediate inputs, are more important than direct effects via final demand.

Page 2 of 25 Brautzsch and Holtemöller Economic Structures (2021) 10:11 We analyze the regional employment effects of tariffs and non-tariff trade barriers. In general, tariffs reduce international trade and result in more unemployment (Furceri et al. 2018) and increase prices for consumers (Amiti et al. 2019). However, sign and magnitude of the effect can depend on the nature and the persistence of the trade shock. In this paper, we add to the literature on employment effects of trade shocks by studying the employment effects in more than 40 countries (both EU member states and other countries) due to increasing trade costs in case of a Brexit, where there is no agreement in place for trade between the UK and the EU (WTO-Scenario). In particular, we show how the regional distribution of the effects within the EU can be estimated using regional sectoral employment data.
The UK is an important trading partner for EU-27 countries. After the U.S., the UK has been the second largest destination outside the EU of goods and services exports from EU-27 countries in 2020 accounting for about 14% of total EU-27 exports. 1 A degradation of the trading framework between EU-27 and UK may have important economic consequences on production and employment in EU-27 countries and regions. Because product groups are not all affected in the same way and because of regional agglomeration of production, regions within the EU-27 will face heterogeneous consequences from Brexit. It is important to understand this heterogeneity to develop appropriate policy responses.
If the negotiations between the EU and the UK had failed, a no-deal Brexit would have implied that exports from the remaining EU member countries to the UK would be subject to tariffs. Even without formal tariffs, there are non-tariff trade costs, which consist of organizational cost (waiting, e.g.) at the borders and of substantial paperwork for the producers to document that rules of origin are complied to. Accordingly, the British demand for EU products is likely to decrease due to these trade costs. We study the international potential employment effects of the decline in British import demand. To quantify these effects we take into account that production of final goods depends on intermediate inputs. Not only firms that directly export goods or services to UK are affected by Brexit but also firms that deliver intermediate inputs to these firms. Similar to studies which assess the impact of Brexit on production on the national level, we use input-output analysis in a first stage to quantify the countries and industries that are most affected by a decline in UK import demand from EU-27 due to a no-deal Brexit. Assuming that existing production structures and final goods prices need time to adapt to the changing trade framework between UK and EU-27, input-output analysis can be informative about potential short-term effects due to the decline in UK import demand from EU-27 and thereby complement results from general-equilibrium models which in general are more informative about the long-run.
British firms are also affected themselves due to their participation in global value chains. The results that we report for the UK only refer to the effects of less intermediate input production for foreign firms that export to the UK. It should be stressed that the results that we present are partial effects of a negative trade shock. We do not consider macroeconomic general equilibrium effects. We do not aim to estimate the total effects of Brexit on employment in the UK or in any other country. Trade diversion is also not considered. Moreover, it is not only international trade in goods and services that will be affected by Brexit. 2 Overall, our results are more informative for the EU-27 countries than for the UK, because the aspects that are not covered here are much more important for the UK than for the EU-27 countries.
We use the World Input-Output Database (WIOD) to document (i) which industries, (ii) in which countries will be affected most by a decline of British imports from EU member countries and (iii) what the according regional and sectoral employment effects will be. For the EU, we provide a regional breakdown on the NUTS-2 level; for Germany, we additionally provide a detailed regional breakdown on the NUTS-3 (county) level. Chen et al. (2018) also provide a regional breakdown of Brexit exposure on the NUTS-2 level; however, they do not look at employment but only at GDP and labour income, which can be directly inferred from the World Input-Output Database. Our contribution is to combine WIOD with regional and sectoral employment data.
The paper is organized as follows. First, we describe the data and our methodology in Sect. 2. Then, we explain the results by country, by industry and by region in Sect. 3. Finally, we provide conclusions in Sect. 4.

World Input-Output table
The main data source for our analysis is the World Input-Output Database (WIOD). 3 We use the 2016 edition , Timmer et al. 2016, which covers 43 countries (plus rest of the world) and 56 industries. The countries and the industries are listed in the appendix. We use the most recent available data which refers to the year 2014. Table 1 shows the general structure of the World Input-Output table. Among the 44 (including rest of the world) countries, we distinguish between the m = 27 countries which remain in the EU, the UK (country m + 1 ) and M − m − 1 non-EU countries (including rest of the world).
The matrix X = x kℓ ij is called transaction matrix. 4 Dividing the elements of X by column sums x kℓ yields matrix A = x kℓ ij x kℓ . Total output (x) in the M × N = 44 × 56 = 2464 supply-country-industry combinations can now be written as follows: where the (M × N ) × 1 vector y = M i=1 y kℓ i denotes final demand in the M countries covered by the 2464 supply-country-industry combinations, respectively. For a given vector of final demand y, the corresponding total output vector including the intermediate inputs necessary for production can be recovered: x = Ax + y, 2 A general overview of studies on the economic impact of Brexit is provided by Bisciari (2019), for example. For early overviews of channels through which Brexit could affect the economy, see Kierzenkowskii et al. (2016), Cumming and Zahra (2016) and Broadbent et al. (2019). Dhingra et al. (2018) discuss foreign direct investment after Brexit, for example, and Powdthavee et al. (2019) the effect of Brexit on subjective well-being. Los et al. (2017) and Dhingra et al. (2017b) discuss local consequences of the Brexit in the UK. Bloom et al. (2019) provide firm-level evidence. 3 http:// www. wiod. org/ home. Country . (1) Country . x 11 x 1N x M,1 x M,N where (I − A) −1 is called inverse Leontief matrix. Accordingly, changes in final demand y affect total output:

British final import demand and EU gross output after Brexit
For both intermediate inputs and final use, the EU is quantitatively the most important trading partner of the UK. Figure 1 shows that the UK imports more goods and services from the EU than from all other trading partners together (exports to the UK by country are reported in Table 7 in the appendix).
The potential consequences of Brexit on British import demand from the remaining EU countries depend on the exit scenario. 5 Without a formal agreement, trade between the UK and the EU would follow World Trade Organization rules after Brexit. This implies that tariffs would apply between the UK and the EU. Cars and car parts, for example, would be taxed at 10%. Agricultural tariffs are even higher. Average tariffs imposed on final goods imported to the UK are estimated to amount to 8.6% (Cappariello et al. 2018). Non-tariff costs would also increase. 6 Higher import prices will lead to less import demand. We use the post-Brexit tariffs, trade elasticities and non-tariff trade barrier estimates provided by Cappariello et al. (2018) and Cappariello et al. (2020) to estimate the country-sector specific trade effects of tariffs and non-tariff trade barriers on final goods imported from the remaining EU countries to the UK. Denote the sector-specific tariff for final goods imports by τ ℓ y , the absolute sector-specific trade elasticity by ǫ ℓ , and the sector-specific non-tariff trade barrier ad-valorem equivalent by µ ℓ  Tables 8 and 9 in the appendix. Averaging over all remaining EU countries and all industries, the reduction in UK imports of final demand goods from remaining EU countries amounts to 41% (see Table 10 in the appendix).
These magnitudes are a little bit lower than the long-run effects reported by Hantzsche et al. (2018) who estimate that a no-deal Brexit would reduce bilateral trade between the UK and the EU by 56% in the long-run and that about half of this effect would occur immediately. Other estimates of the change in UK imports have a similar order of magnitude; Dhingra et al. (2017a) report a short-run estimate of 34% (including intermediate inputs) based on a trade model which considers the respective tariffs to be expected in the various industries and Campos and Timini (2019) estimate from a gravity model that trade would drop by 30%. Vandenbussche et al. (2019) also use WIOD data and derive the change in trade flows from sector-specific trade elasticities and the change in (tariff and non-tariff ) trade barriers which results in substantially larger effects than our approach.

Employment effects
To quantify the employment effects that are associated with changes in total output ( x ) we use employment data from the Social-Economic Accounts provided by the World Input-Output Database. 7 Similar to Los et al. (2015) and Feenstra and Sasahara (2018), we construct coefficients b kℓ which indicate how many employed persons produce one unit of output in a given industry, using employment by country and industry ( n kℓ ): and a corresponding (k × ℓ) × 1 vector b = b kℓ . The change in employment by country and industry triggered by a decline in British final imports from remaining EU member countries including all effects through provision of intermediate inputs is given by: where * denotes elementwise multiplication.
The employment effect can be decomposed into a direct and an indirect effect. The direct effect refers to the first-round effect of lower British imports without taking into account that affected firms will demand fewer intermediate inputs from other firms. The direct employment effect is then given by Finally, we can calculate the indirect effect:

Regional disaggregation
Using the distribution of employment by industry, we allocate the industry-specific employment effects to the NUTS-2 regions and, for Germany, to its 401 German counties. However, employment by industry and region is only available for more general sectors not for the 56 industries covered by the World Input-Output Database. Employment data for NUTS-2 regions is available for sectors A, B-E, F, G-I, J, K, L, M-N, O-Q, R-U from Eurostat and for sectors A, B-E, F, G-J, K-N, O-T on the German county level from the working group "Regional Accounts" of the statistical offices of the 16 German states, the Federal Statistical Office and the German Association of Cities and Towns. We group the 56 industries accordingly. 8 Let the number of affected employed persons in a sub-country region k and industry ℓ be denoted by n kℓ and the total number of affected employed persons in the sectors A, B-E, F, ... by n ·ℓ . Then, the number of affected employed persons in a region is given by where w kℓ is the share of region k in total employment in industry ℓ . Finally, the corresponding share of affected persons in region k is n kℓ /n k , where n k denotes total employment in region k.

Output effects by country
Output effects of the decline in British imports are shown in Table 2. The results fall within the range of previous studies. For Germany, for example, Vandenbussche et al.
(2019) estimate a loss in value added due to a no-deal Brexit of 1.76%, while our results indicate a loss in gross output of 0.61% and in value added of 0.49%, respectively. Felbermayr et al. (2017) discuss the effects of Brexit on individual industries and estimate a no-deal-Brexit-induced decline in German GDP by about 0.2%. Note that direct effects for non-EU countries (including UK) are zero, because the respective trade regimes do not change after Brexit. However, non-EU countries are affected via intermediate inputs delivered to firms in EU countries which export goods and services to the UK.

Potential employment effects by country
If final import demand from the UK declines by 41% as implied by sector-specific elasticities and increased trading costs, then in total about one million employed persons are affected in 43 countries (without rest of the world), of which only 280,000 persons in firms within the European Union that directly export final goods to the UK. About 730,000 persons will be affected by second-round effects that hit firms delivering intermediate inputs. The overall effect on absolute employment is largest for Germany (Fig. 2a), where about 176,000 persons are potentially affected (see also Table 3).
The absolute effect is also relatively large for China (about 91,000 persons) although there are no direct effects, because China is not a member country of the EU. However, China will be affected via intermediate inputs of firms that export to the UK. Relative to total employment, Malta and Ireland are heavily affected. In these two countries, exports to the UK amount to 13.5% (Malta) and 7.3% (Ireland) of total production (see Table 7 in the appendix). In Malta, the reduction of trade with the UK may potentially affect 3.4% and in Ireland 1.9% of all employed persons (Fig. 2b).
Overall, the variation in the relative employment effects is mainly driven by the heterogeneity in the output effects: in a scatter plot (Fig. 3) of relative total-output effect and relative employment effect, the observations lie very close to a fitted regression line.
In countries above the regression line, the employment effect is relatively large compared to the output effect; this implies that the affected sectors exhibit a relatively low labor productivity. On the other hand, in countries below the regression line, labor  productivity in affected sectors is high, as in Slovakia, for example, where manufacturing of cars is the most affected sector.

Potential employment effects by industry
Which industries are affected most varies from country to country (see Table 11 in the appendix). Figure 4 shows country-specific heat maps of the employment effects. Light colored squares indicate that the effect is relatively small in an industry, while dark colored squares indicate a relatively large effect (based on the absolute total employment effect by country and industry).
In some countries, such as Bulgaria or Brazil, for example, agriculture is heavily affected. In other countries, such as Czech Republic and Germany, the effects are largest in manufacturing industries. In France and in the Netherlands, wholesale trade shows the strongest exposure. In the United States, administrative and support services are strongly affected. Note that the UK itself is also affected due to intermediate inputs exported by UK firms to non-UK firms which deliver to firms exporting from the remaining EU to the UK directly or indirectly via global value chains.   Fig. 3 Negative output and potential employment effects of a decline in UK import demand for final goods from the EU (no-deal Brexit). Source: World Input-Output Database, data for 2014, and own calculations. We restrict the range to (0,1) on both axes which implies that two outliers, Malta (output: 5.98%, employment: 3.41%) and Ireland (output: 2.38%, employment: 1.86%), are not shown. However, these two countries are not excluded from the calculation of the regression line The industry-specific relative effects are large in Belgium, Malta and Ireland. While many sectors are strongly affected in Ireland and Malta, manufacturing is strongly affected in Belgium (manufacturing of cars 7.5%, textiles 4.2%, other transport equipment 4.0%). In most other countries, relative effects are large in some specific industries, such as the car industry in Germany (3.2%) and Spain (3.6%) or manufacturing of textiles in the Netherlands (3.8%) and in Sweden (3.3%). 9

Regional employment effects
The share of affected workers if final import demand by the UK decreases due to a no-deal Brexit varies between 0.03% and 3.4% among European NUTS-2 regions and between 0.15% and 0.4% among German counties. Besides Malta and the regions in Ireland, Belgian provinces, the region Západné Slovensko (sector B-E) in the Slovak Republic, the regions Severovýchod (B-E), Strední Morava (B-E) and Jihozápad (B-E) in the Czech Republic as well as regions in Poland exhibit a relatively large employment exposure (see Table 12 in the appendix). Overall, while in Malta, Ireland, Belgium, Slovak Republic and Poland almost the whole country exhibits a similar exposure, the effects are more concentrated in some regions in Italy and Spain, see Fig. 5.
Within Germany, the county which is affected most in terms of relative employment effect is Dingolfing-Landau (449 of about 67,000 employed persons) followed  4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 Fig. 4 Absolute total potential employment effects of a decline in UK import demand for final goods from the EU (no-deal Brexit) by country and industry. Light color: relative small effect, dark color: relative large effect. Based on ranked absolute total (direct and indirect) employment effects by country of a decline in British final goods imports due to tariffs and non-tariff trade costs after a no-deal Brexit derived from inputoutput analysis. General-equilibrium effects and other relevant channels such as trade diversion are not included. Source: World Input-Output Database, data for 2014, and own calculations Page 13 of 25 Brautzsch and Holtemöller Economic Structures (2021) 10:11 by Wolfsburg (835 of about 127,000 employed persons), see Table 13. The distribution across German counties is depicted in Fig. 6.
Overall, counties such as Wolfsburg (Volkswagen) or Dingolfing-Landau (BMW) in which production and trade of cars and car parts are relatively important are affected more than other counties.

Conclusions
Tariffs and non-tariff trade barriers make internationally traded products more expensive. Therefore, the demand for foreign products decreases if tariffs are introduced. We analyze the regional employment effects of tariffs and non-tariff trade barriers on trade between the UK and the EU after a no-deal Brexit. If the UK had left the EU without an agreement on international trade in goods and services many countries would have been affected by the corresponding decline in exports to the UK. Since production is organized in global value chains, not only would firms in the remaining EU countries suffer from declining exports to the UK, but also firms that supply intermediate inputs to firms that deliver final goods to the UK. The international integration of trade can be disentangled using World Input-Output tables. If final import demand from the UK declines by 41% as implied by sector-specific elasticities and increased trading costs, then in total about one million employed persons are affected in 43 countries (without rest of the world), of which only 280,000 persons in firms within the European Union that directly export final goods to the UK. About 730,000 persons would be be affected by second-round effects that hit firms delivering intermediate inputs.
The motor vehicle industry would be the most affected industry (both manufacture and trade). In Germany alone, about 35,600 persons in the motor vehicle industry (2.1% of total employment in motor vehicle manufacturing and trade) would be directly or indirectly affected. Accordingly, within Germany important motor vehicle Fig. 6 Potential regional employment effects of a decline in UK import demand for final goods from the EU (no-deal Brexit) in German counties. Employment effect in relation to total employment by county in percent. Source: World Input-Output Database, VGR der Länder (regional employment data) and own calculations. manufacturing places would be most exposed to employment risks after a no-deal Brexit. However, there would also be considerable absolute effects in non-EU countries, such as China or India. The relative effect (in relation to total employment) in these countries would be rather low.
Our quantitative effects depend crucially on the assumption about the decline in UK final demand from the EU. The actual decline can be smaller or larger than assumed here. The results from the input-output analysis are linear in the size of the initial shock. If the decline in UK final demand from the EU is smaller, then our absolute figures and shares in total employment have to be adjusted proportionally. The relative distribution of the effects over countries and industries, however, would be unaffected by this. This also holds true for the regional distribution within countries.