Global and regional shock transmission: an Asian perspective

This paper constructs and uses the global input–output (GIO) table with 35 industries, 29 endogenous countries and 59 exogenous countries, and develops new indices to measure the degree of shock transmission in terms of intermediate goods and value-added embodied in production induced by negative global demand shock to finished goods. After the Global Financial Crisis (GFC) in 2008, China did not experience a large decline in economic growth, even though China’s gross exports fell most severely among Asian countries. In contrast, a sharp decrease in Japanese GDP in 2009 is a consequence of a substantial decline in finished goods exports, especially in the transport equipment industry. In Japan, the shock effect tends to be absorbed in its domestic sector and is not transmitted to other foreign countries. An asymmetric pattern of shock transmission between Japan and other Asian countries can explain why Japan was more affected by GFC than other Asian countries.


Introduction
In September 2008, the world plunged into the unprecedented global financial crisis (GFC), accompanied by a deep decline in world trade. The United States experienced the most severe downturn in trade in terms of the magnitude and speed since the late 1960s (Crowley and Luo 2011). This unprecedented collapse of world trade in 2008-2009 is referred to as the "Great Trade Collapse". According to Table 1, US imports from the selected Asian and European countries fell rapidly from the 4th quarter of 2008 through the end of 2009. US imports from Japan and Malaysia became a negative growth in the 3rd quarter of 2008, and Japan appears to have been the most severely affected by the US import decline. Table 2 shows the GDP growth rate in 2009 and changes in exports 1 to the world in selected countries from 2008 to 2009. Germany and Japan (− 5.6 and − 5.5%, respectively) experienced largest negative GDP growth, whereas China was affected marginally by GFC with 9.2% of GDP growth. In the meantime, Chinese gross export of Page 2 of 25 Shrestha and Sato Journal of Economic Structures (2021) 10:27 manufacturing goods declined substantially ($207.1 billion) due to GFC compared to Japanese gross export of $176.0 billion. Therefore, it is quite unrealistic to explain the effect of GFC on GDP growth with respect to gross export shock. However, decline in finished goods export of Germany ($134.1billion), Japan ($112.1billion) and China ($72.2 billion) seems to be inter-related with respective GDP growths. Further, industry-breakdown of finished goods export shows Japan's finished goods export of transport equipment industry 2 (mainly motor vehicles) and China's electric machinery industry 3 are by far the largest in Asia. This paper attempts to answer why Japanese GDP was worst hit by GFC and China was affected only marginally, even though China plays a central role of regional processing trade in Asia, especially in the electric machinery industry (Koopman et al. 2008, and Athukorala 2009. One useful approach is to utilize the International Input-Output (IIO) table, where bilateral trade linkages are decomposed into two types of trade, i.e., transactions of intermediate inputs and final goods 4 at a detailed industry level. While it was generally hard to obtain the updated time-series data on the IIO table, 5 in recent years numerous attempts have been made on the construction of the time-series IIO tables. 6 In  Hummels, Ishii and Yi (2001), Daudin, Rifflart and Schweisguth (2011) and Johnson and Noguera (2012). See also two special issues "Global Multiregional Input-Output Frameworks" (Ed: Dietzenbacher and Tukker, 2013) of Economic Systems Research, 25(1) and "A Comparative Evaluation of Multi-Regional Input-Output Databases" (Ed: Inomata and Owen, 2014) of Economic Systems Research,26(3) for the recent developments on internationally linked IO tables.  To anticipate the results, we show that there is an asymmetric pattern of shock transmission between Japan and other Asian countries. Japanese finished goods exports are affected substantially by the global shock, especially in the transport equipment industry, but the shock is not transmitted globally or regionally from Japan in terms of both intermediate inputs and value-added contents. In addition, the global shock that is transmitted to Japan tends to be absorbed in Japanese domestic sectors. As a manufacturing hub, China plays a major role in supplying intermediate inputs regionally and globally, especially in the electric machinery industry, which enhances the degree of regional economic integration in Asia and also inter-regional linkages between Asia, North America and Europe. However, China's value-added transmission index to the world is comparatively higher than that of Japan, implying that Japan is more vulnerable to regional and world demand shocks than China and other countries.
The remainder of this paper is organized as follows: Section 2 presents the methods to estimate the new indices of shock transmission and the data construction of the YNU-GIO tables, and Sects. 3 and 4 present the results of the shock transmission analysis and discuss the results. Finally, Sect. 5 concludes the paper.

Methods: shock transmission and its measurement
A direct impact of the GFC was a sharp decline in demand for manufacturing (both intermediate and finished) goods, especially in the United States. Exporters responded to the negative demand shock by decreasing their production and supply of production goods. Such supply-side impact has often been analyzed in the literature. Ando and Kimura (2012), for instance, analyze the GFC impact on Japanese and Asian exports Shrestha and Sato Journal of Economic Structures (2021) 10:27 using the most disaggregated trade data, and decompose export changes into extensive and intensive margins to examine which factor most affected Japanese and Asian exports. However, given growing regional production network in Asia, 8 it is also important to investigate how the effect of global shock (i.e., decline in gross production) is transmitted to domestic and regional economies by tracing input sources (intermediate goods and value-added inputs) along the backward linkage. Such regional shock transmission can magnify the effect of negative world demand shock, driving regional economies into serious economic downturn. To get a clue to evaluate the progress of regional economic linkages and value chains, this paper investigates whether and how a sharp fall in finished goods exports of Asian countries to the world reduced domestic production and then induced subsequent decline in intra-Asian trade along the production chain (backward linkage) during the GFC. We illustrate the mechanism of shock transmission graphically and also develop new indices to measure the extent of shock transmission quantitatively in Sects. 2.1 and 2.2, respectively.

Graphic illustration
To evaluate the degree of global and regional economic linkages and value chains, we develop a new index of shock transmission. For a brief exposition of the new index, let us assume a four endogenous country model that consists of the United States, Japan, China and Korea (Fig. 1). Suppose that the US import demand for finished goods from China declined by $17 billion, which is equivalent to a 10% decline in the actual amount of China's exports of finished goods to the United States in 2005 and regarded as a negative demand shock. As illustrated in Fig. 1a, China's domestic production declines by $15.9 billion, where intermediate input contents are $10.3 billion and value-added contents are $5.6 billion. 9 The negative US import demand shock also induces a fall in China's imports of intermediate inputs from other three countries: $644 million from Japan, $320 million from Korea and $178 million from the United States.
As an illustration of the first-stage indirect effect, let us see what happens to Japanese production induced by the above direct impact. In Fig. 1b, a fall in China's imports of intermediate inputs from Japan ($644 million) causes a decline in Japanese production, which induces a reduction in procurement of total inputs ($613 million) from domestic sectors, where intermediate input contents are $375 million and value-added contents are $238 million. The decline in Japanese production also induces a fall of Japanese imports from other three countries: $3 million from Korea, $7 million from the United States, and $21 million from China. This first-stage indirect effect occurs in other endogenous countries as well, that is, in Korea and the United States.
Due to the first-stage indirect effect, domestic production declines further, accompanied by a second-round reduction of not only domestic procurements but also imports of intermediate inputs from other endogenous countries. This indirect effects continue to the Nth stage where the effect becomes negligible. Finally, the magnitude of shock transmission is computed as the sum of direct and cumulative indirect effects on endogenous economies, as shown in Fig. 2. In this example, induced effect of decline in Chinese finished goods export to be the largest in China ($24.7 billion and $15.1 billion in intermediate goods and value-added sector, respectively), a country that first experiences the export reduction of finished goods. In the meantime, Japan experience decline in intermediate goods production equivalent to $1.3 billion plus $1.1 billion worth of Japanese value-added. In such a way, finished goods export shock to China transmits to not only the Chinese domestic economy, but also transmits to other countries Japan, Korea and the USA through intermediate goods and value-added channels.
We have so far assumed that only one country, China, is hit by the export shock. But, it is usual that other countries are also affected by the global shock simultaneously. To assess the actual pattern and impact of shock transmission, we develop a multi-country framework to estimate total induced effect in terms of intermediate goods and valueadded, where all endogenous countries experience a decline of finished goods exports. In this paper, we estimate the amount of inducements in intermediate goods and valueadded by assuming a change in finished goods exports to the world. However, it is possible to estimate the inducements in intermediate goods and value-added due to decline in finished goods export to a particular country such as the United States (as illustrated in the example above), or to other single country, or a region such as the North America and Europe, or the world. Once, we estimate the amount of induced effects, we calculate two types of shock transmission indices: (1) shock transmitted to a country from the world and (2)  The rest of this section shows how to derive the shock transmission indices using the three-country GIO model.

Three-country IIO model
To evaluate the degree of shock transmission when all endogenous countries encounter a fall of finished goods exports to the world, we first calculate the change in production inducements, where finished goods exports of country 1, 2 and 3 decline by E F 1 , E F 2 and E F 3 , respectively. This simultaneous decline in finished goods exports induces a fall in production in three countries and can be estimated by using the global Leontief inverse matrix L as: The right-hand side of the above equation estimates the amount of decrease in the gross production induced by the finished goods export decline in all three countries, which measures the degree of shock transmission among three countries along vertical direction. 10 Here, the diagonal elements are the amount of production inducements in respective countries due to the finished goods export shock, whereas off-diagonals represent induced trade between any two countries. Since gross production consists of intermediate inputs and value-added, first we separate the induced gross production in terms of intermediate goods and value-added contents so that we can analyze the effect of finished goods export shock through intermediate input channel and value-added channel using the following separation rule: where A is the intermediate input coefficient matrix; v is the diagonal matrix of valueadded coefficients; L is the global Leontief inverse matrix; Ê F is a diagonal matrix of the country i's export decline of finished goods E F i . Figure 3 summarizes the decomposition of gross production induced by finished goods export in terms of inducements. Now, for each matrices representing intermediate goods and value-added inducements, the row sums represent amount of inducements transmitted to each country from the world. In other words, the row sums indicates the direct and indirect supply of intermediate goods and value-added to the world or equivalently the inducements transmitted from the world. As the inducements transmitted from the world is a consequence of each country's finished goods export decline to the world, we define the intermediate goods and value-added shock transmission indices (denoted as STI FromtheWorld ) as ratio of respective inducements transmitted from the world in each country to the total of all country's finished goods export decline. In a similar manner, the column sums represent the decline in direct and indirect demand of intermediate goods and value-added from the world to adjust the direct finished goods export shock. In this case, the intermediate goods and value-added shock transmission indices (denoted as STI TotheWorld ) are defined as inducements in foreign countries (i.e., column sum minus diagonal elements

Finished goods
Intermediate Goods Imported Domestic Value-added Imported Domestic Inducements Fig. 3 Decomposition of gross production of each matrices representing the domestic inducements) relative to domestic inducements or equivalently domestic absorption to address the economic shocks experienced by a country. Here, we may use the direct finished goods export shock in a certain country in the denominator, it may not fully address the domestic components of the shock transmission. In reference to Tables 3, 4 and 5, the following rule is applied to calculate shock transmission indices: and We have constructed a new dataset of the internationally linked IO table, that is, the YNU-GIO table, for 16 years spanning from 1997 through 2012. 11 The estimation of annual YNU-GIO tables uses (1)   Utilizing the YNU-GIO table, we use new indices to measure the extent of shock transmission, whereby both direct and indirect impacts of the shock can be evaluated in multiple stages of production process. To calculate the index, we conduct a simulation analysis by generating industry-specific shocks 16 to the world import demand of finished goods, which enables us to explore how and to what extent the effect of a decline in the world import demand for final goods is transmitted directly and indirectly to trade of intermediate goods and value-added through backward linkage of productions especially among Japan and Asian countries.

Results: global and regional shock transmission of GFC
In this section, we compute the extent of shock transmission of GFC in all endogenous countries with an actual change in finished goods export (all manufacturing industries, electric machinery industry and transport equipment industry) to the world during 2008-2009 using the 2009 YNU-GIO table. 17 Here, we provide two indices of shock transmissions showing that (1) to what extent of the GFC shock is transmitted to individual endogenous countries from the world (transmission from the world) and (2) to what extent individual countries transmitted its shock to the regional and global partners (transmission to the world/Asia) subject to the shock in both intermediate goods and value-added.

Shock transmission in intermediate goods and value-added
The upper panel of Table 3 shows summary of direct shock of finished goods export and its transmissions for selected endogenous countries for both intermediate goods and value-added in terms of inducements. Germany experienced largest ($134.1 billion) decline in finished goods export followed by Japan ($112.2 billion) and the US ($104.1 billion). In Asia, China ($72.2 billion), Taiwan ($21.0 billion) and 14 Final demand (1,188 categories) is decomposed into consumption goods (713 categories) and capital goods (475 categories). 15 See http:// www. oecd. org/ datao ecd/ 32/ 56/ 47059 256. pdf for the conversion rule from the ISIC3 to OECD IO classification. 16 We use 2009 YNU-GIO table and actual change of finished goods export to the world from 2008 to 2009 to observe the effect of GFC and report the summary of results in Tables 3-5. In addition, we also use a hypothetical economic shock of 10% decline in finished goods export to illustrate the changes in global shock transmission patterns from 1997 to 2012 in Fig. 4. Full set of results are available on request. 17 The actual amount of decline in finished goods exports of selected endogenous country from 2008 to 2009 is presented in Table 2. As far as transmission of the GFC shock form individual countries to the world is concerned, Germany, Japan and China are three largest countries in magnitude. However, the extent of the direct final goods export shock experienced by each countries is different, comparison across countries does not provide a meaningful implications. Therefore, we present a new measure of GFC shock experienced by each endogenous countries (termed as shock transmission from the world) and that transmitted to foreign (and also to Asian) countries (named as shock transmission to the world and shock transmission to Asia) as shock transmission indices for both intermediate goods and value-added in lower panel of Table 3. In Asian perspective, 21.7 and 20.7% of total global shock have transmitted to China and Japan through the supply of intermediate goods to the world. Meanwhile, both countries transmit about 16.0% of its shock to foreign countries through intermediate goods demand from the world. The Chinese and Japanese rate of shock transmission to regional partners are 8.5 and 9.1%, respectively. In other Asian countries, degree of shock transmission to the world from these countries are far more higher than that the shock transmitted to the Asian countries from the world. For instance, Korea transmits 71.0% of GFC shock to the world, whereas only 2.4% of shock is transmitted to Korea. It seems to be different from the common understanding that Korea had a tremendous negative impact on their economy from the decrease in the imports of the US. The reasons are: (1) backward linkage of Korea with the World is significantly larger than forward linkage and (2) even though the direct effect is relatively large for Korea, the net impact that remained in Korea is marginal. Singapore transmits nearly 6 times of its direct final goods export shock to the world through intermediate goods demand. In general, Asian countries illustrate higher degree of shock transmission to its regional partners compared to its transmission to the world.
Interestingly, transmission of GFC shock through value-added supply and demand (value-added transmission index) provided in Table 3 illustrates that Japanese GDP experienced 13.7% of GFC negative shock from the world, which is by far larger than that experienced by China (9.3%) and other Asian countries except Germany (14.6%) and the US (14.3%). In contrast, Japan's shock transmission through value-added (8.9%) is much smaller than that for three major European economies (19.2% for Germany, and 14.3% each for UK and France) and China (13.9%). Moreover, value-added transmission indices to the world for other Asian countries are also relatively higher (ranging

Intermediate goods transmission index (percent)
From the world ** from 23.0% for Taiwan to 193.3% for Singapore) than Japan with an exception of 7.6% for Indonesia. Such situation implies that Japan is a major supplier of value-added (among Asian countries) to the world, but demands less value-added from the world compared to Germany, China and other regional partners. Or equivalently, Japanese GDP experienced substantial suffering from inbound value-added shocks due to GFC, while the shock is not transmitted (i.e., the shock is absorbed in domestic economy) to foreign and regional countries from Japan as compared to other regional countries. This is the main reason why Japanese GDP in 2009 marked lowest (− 5.5%) growth in Asia. Moreover, the extent of the GFC shock transmitted to Asian countries from the world and that transmitted to the world or regional partners from Asian countries illustrates asymmetric patterns of shock transmission. For example, value-added shock transmission indices from the world are relatively smaller except for Japan and China, whereas shock transmission to the foreign and regional economies are higher except for Japan, China and Indonesia.

Shock transmission in electric machinery and transport equipment industries
Tables 4 and 5 show industry-specific (electric machinery and transport equipment industries) 18 summary of direct effect of GFC and shock transmission in intermediate goods and value-added. Table 4 clearly indicates that Chinese electric machinery industry is worst hit by GFC compared to any other countries in terms of direct shock ($25.5 billion presented in Table 2), indirectly induced intermediate goods ($64.0 billion, presented in Table 4) and indirectly induced value-added ($24.5 billion, presented in Table 4). However, in Chinese electric machinery industry, it is important to notice, from Table 4, that, (1) 16.9% of value-added shock transmission is by far lower than 44.2% of intermediate goods shock transmission; (2) the extent of shock transmission from China to the world (6.4 and 5.7%, respectively, for shock transmission through intermediate goods and value-added) is relatively larger than Japanese (1.5 and 0.9% for shock transmission through intermediate goods and valueadded, respectively) and (3) the share of electric machinery industry due to the GFC shock, the worst hit industry in China, is only 35.3% (= (− 25.5)/(− 72.2), see Table 2) of direct finished goods export shock. As a consequence, impact of GFC on Chinese value-added sector is marginal compared to that on intermediate goods production in China. Table 5 presents the effect of GFC in transport equipment industry. In contrast to electric machinery industry, the share of GFC shock is 54.4% in Japanese transport equipment industry (see Table 2), and the intermediate goods and value-added transmission indices from the world is 31.9 and 18.1%, respectively, compared to mere 7.9% industry share, and 8.1 and 3.0% of intermediate goods and value-added transmission rates, respectively, in Chinese transport equipment industry. In Korean case, the weight of transport equipment industry is 57.0% (see Table 2), however, the magnitude of shock transmitted to Korea from the world is relatively low and that transmitted to the world from Korea is high. Such evidence indicates that GFC predominantly affected the Japanese economy due to largest decline of finished transport equipment goods export    Table 5 The effect of GFC and shock transmission in intermediate goods and value-added (transport equipment industry) See Table 3 Source compared to the other Asian countries. Moreover, Tables 4 and 5 evidently illustrate asymmetric shock transmission patterns not only across the two selected industries, but across countries in Asia also.

Discussions: changes in regional linkages
We have so far analyzed the effect of GFC on shock transmission focusing on the Asian region using 2008-2009 data. It is also worth investigating how regional and global linkages for intermediate inputs and value-added contents changed. We first, calculate and summarize transmission of hypothetical shock using 10% decline of finished goods export to the world in each year from 1997 to 2012 and corresponding year's YNU-GIO table in terms of regional procurements of intermediate goods and value-added from Asia, North America and Europe. Figure 4 shows not only the intra-and inter-regional linkage of procurements of intermediate inputs and value-added contents, but it also shows the world's dependence on each region. In the far left figure, Asian countries exhibit a remarkable growth in regional procurements of intermediate inputs and value-added from 1997 to 2006, however the Asian intra-regional dependence significantly declined until 2009 and started to gain some momentum later. On the other hand, Asia's procurements from North America and Europe do not show an increase during 1997-2012 period in general. In particular, growing trend in regional procurement of value-added demonstrated by Asia supports the recent findings that regional economic integration in Asia has been mainly driven by growing regional production network and fragmentation. 19 Three figures on the left in Fig. 4 indicate that the level of regional procurements of intermediate inputs and value-added is higher in Europe than in Asia and North America. An increasing trend in European intra-regional dependence, subject to both procurements, can be observed during the sample period, whereas North American intra-regional dependence continuously declined from 2000 until 2009 and then it started to increase again. In value-added terms, North America does not show a significant change. Interestingly, both European and North American countries have increased their procurements of intermediate inputs, in particular, and procurements of valueadded, to some extent, from Asian countries. Notice the higher extent of Asian procurements of intermediate goods and value-added than that of European procurements in North America, which implies that Asia is major intermediate goods and value-added supplier to North America compared to Europe. The far right figure in Fig. 4 illustrates the procurement ratio of intermediate goods and value-added from Asia, Europe and North America. In 2012, Asian procurements of intermediate goods overtook European procurements to the world. In value-added terms, Europe is still the major supplier to the world, however, the gap between Asia and Europe has reduced significantly. The above observation suggests that Asia shows the significant progress of regional economic linkages and also becomes more integrated into global production network through intermediate input and value-added trade.

Concluding remarks
We developed a new index to measure the extent of shock transmission due to global demand shock in finished goods export. The finished goods demand shock transmits to respective country's domestic production, which in turn transmits to its domestic economy and foreign partner economies via induced intermediate goods and value-added. We standardize the foreign inducements relative to domestic inducements to make an international comparison. Our methodology differs from the GVC (Global Value Chain) approach as the GVC model treats intermediate goods trade as both endogenous and exogenous variables simultaneously. Moreover, we use an entirely new set of 16 annual globally linked IO tables, called as YNU-GIO tables, from 1997 to 2012 to reveal the extent of shock transmission due to exogenous shock in finished goods trade. The new data set focuses primarily on dynamic structural changes and economic integration in Asian region that are not covered fully by existing data sets.
We have shown that there is an asymmetric pattern of shock transmission between Japan, China, Korea and other Asian countries. Japan is affected substantially by the direct global shock (specifically in transport equipment industry) and the induced shock is not transmitted to foreign countries from Japan as compared to the shock transmitted to foreign countries from other Asian and non-regional countries in terms of both intermediate inputs and value-added contents. The global shock tends to be absorbed in the Japanese domestic sectors. As a manufacturing hub, China plays a major role in supplying intermediate inputs regionally and globally, especially in the electric machinery industry. However, China's rate of shock transmission to foreign countries is higher than the Japanese one (in particular, value-added inducements in foreign countries), which means that the Chinese GDP sector experiences only a marginal negative shock. Even though China enhances regional economic integration through intermediate input transactions, Japan is more vulnerable to regional or global demand shock.
Our research can be extended in the following ways. Processing trade accounts for a large share in China's total trade, but it is not taken into account in this paper. Recently, Koopman et al. (2008Koopman et al. ( , 2012Koopman et al. ( , 2014 attempt to analyze the effect of processing trade on global value chains. This line of research is necessary to evaluate the role of China as a manufacturing hub more rigorously. Further, this paper aims to assess the shock transmission mechanism due to international trade only, we have not addressed internal transaction of finished goods. Finally, Asian economic integration may have changed before and after 2012 as rapid appreciation of the yen from 2009 to 2012 20 and dramatic depreciation of the yen afterwards. Further efforts to update the YNU-GIO table will be necessary.

Appendix 1. GVC model under the Three-Country IIO Model
Let us assume a three-country GIO table presented in Figure 5, where each country produces in a single tradable sector. Each country produces a good that can be consumed as a final good or used as an intermediate input. 21 Here, for three countries i and j, Z = Z ij and F = F ij are matrices of intermediate goods and final goods transactions, respectively; Y = Y i = Y j ′ is a vector of gross output and V = V j ′ is vector of valueadded inputs. Then we can easily derive the input-output equation, for the GIO table given in Figure 5, in matrix form as:   Shimizu and Sato (2015). 21 We assume that each country has only one production sector. This assumption can be easily extended to a multiproduction sector model with the same matrix and vector notations. Equation (4) implies that the gross output vector (Y) is sum of productions induced by domestic consumption (F D ) and export (E F ) vectors of finished goods. Thus the valueadded associated with induced production can be written as where v is diagonal matrix of value-added coefficients.
The global value chain (GVC) in existing literatures estimates the induced value-added generated by gross export (say,E G = E Z + E F ) using the GIO data as follows: Here, Eq. (6) represents the value-added associated with the production induced by export of intermediate goods ( LE Z ) and that induced by export of final goods ( LE F ). Now, the gross production under GVC assumption (say, Y GVC ) can be written as sum of productions induced by domestic final demand vector F D , export vector of final goods E F and export vector of intermediate goods E Z , and using Eq. (4) we get: Note that, for the given global Leontief inverse matrix L and non-zero E Z , Y GVC exceeds the gross output Y provided in the GIO table, which is an impossible phenomenon. In GIO framework, global transaction of intermediate goods are treated as endogenous variable and are induced by production of final goods only. It means that, inclusion of production induced by intermediate goods estimated by using the global Leontief inverse matrix will evidently overestimate the actual gross production and hence overestimates the actual value-added amounts. However, if a national Leontief inverse (computed from single-country IO  industry-specific output and intermediate goods supply and demand data for each of the endogenous countries, which yields 16 annual (1997 to 2012) NIOTs for each 29 endogenous countries valued in respective national currency. Thus estimated NIOTs in national currencies are then converted into the US dollar based NIOTs with respect to annual exchange rates provided by UNSD's National Account Main Aggregates Database. Major advantage of using national currency based NIOTs for the RAS estimation is that the newly estimated NIOTs are less likely to be affected by fluctuation of the bilateral exchange rates. Secondly, we split intermediate goods and final goods transactions of each NIOTs into domestically procured goods and imported goods. We further separate import blocks of intermediate goods and final goods according to its source country using source country breakdown import shares of intermediate and final goods, respectively. The source country breakdown import shares are calculated from 3121 categories of 4-or 5-digit SITC3 commodity trade data, which are separated into intermediate goods and final goods (combination of 713 categories of consumption goods and 475 categories of capital goods) on the basis of Broad Economic Category (BEC classification), converted into YNU-GIO industry classification system.
Third, we organize domestic transactions and source country breakdown imports of all 29 endogenous countries as a single inter-country transaction matrix, in such a way that the domestic transaction lies on the diagonal block and corresponding source and destination countries lies on the off-diagonal block for both intermediate goods and final goods transactions. By re-organizing inter-country transaction blocks for intermediate goods and final goods transactions, value-added blocks, and output blocks, we get the unbalanced version of globally linked input-output table. In other words, at country level, sum of intermediate inputs (both domestic and imported) and value-added in the unbalanced table corresponds to gross input. However, sum of domestic and exported intermediate and final goods does not add up to gross output on the unbalanced table. Such difference occurs due to the use of source country breakdown import share to figure out the source country of imported goods. As we know that disparity in trade data as a reporter and partner is inevitable (i.e., in trade data country A's import of goods from country B is not same as country B's export to country A or vice versa.), we must adjust the unbalanced table to get the balanced one because difference in gross input and gross output contradicts the fundamental law of input-output table, which states that the gross input and gross output must be equal.