External Backward Linkage and External Forward Linkage. in Asian International Input-Output Table

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Prepared for the 20 th INFORUM World Conference in Firenze, Italy External Backward Linkage and External Forward Linkage in Asian International Input-Output Table Toshiaki Hasegawa Faculty of Economics Chuo University Tokyo, JAPAN E-mail: vinomac@tamacc.chuo-u.ac.jp 0

External Backward Linkage and External Forward Linkage in Asian International Input-Output Table* Toshiaki Hasegawa** Professor of International Economics, Chuo University Tokyo, JAPAN Abstract: The regional market framework to reduce the trade costs affects the international trade flow and the foreign direct investment, especially more in Asian region. Under the globalised economy, each economy s industry is heavily interdependent across borders. The use of Asian International Input-Output Tables 1 brings the cross-border industrial fragmentation into focus. The paper focuses on the Asia-Pacific 10 economies during 1995 2005 in the framework of the international (or regional) interindustry analysis to clarify the empirical method in analyzing not only the domestic industrial structure, but also the cross-border selling/sourcing trade, referred to as the offshoring, by B2B transaction specifically. Growing interest in the framework of the market involving in regional trade agreements in Asia, it has become important increasingly to recognize how the interdependence of industries in Asian economies has developed. The international input-output analysis is a technique that can be analyzed, not only in its own regional industrial structure, but in trade of supplies for sales and sourcing by industry with other * This paper was revised from Analysis of External Linkage in Asian International Input-Output Table presented in IIOA Conference held in BSlovakia, June 2012. ** Toshiaki Hasegawa is Professor of International Economics, Faculty of Economics, Chuo University, Higashinakano 742-1, Hachioji, Tokyo, Japan 192-0393. E-mail: vinomac@tamacc.chuo-u.ac.jp 1 JETRO-I.D.E. (2001 & 2006) provides the updated Asian International Input-Output Table in 1995 and 2000. 1

regions. Taking advantage of Asian International Input-Output Table (AIIO), we introduce the definition of the External Backward Linkage (EBL) and the External Forward Linkage (EFL) in this paper to show the strength of the interdependence across the borders in Asian economies. EBL and EFL for Asian industries, especially for Japanese, Chinese and Korean industries in terms of the same industrial classification are depicted in the same figure. In consequence, in spite of the growing scale of Chinese economy, Chinese industries have not been ranked necessarily in the top group. In Asia-Pacific regions, Korea had many industries in the top group to indicate those strengths in the External Backward Linkage of interdependence. Japan had kept those positions in many industries at the higher rank in the External Forward Linkage. Definition of External Linkage Business companies in the globalized industrial activities, to source supplies between the domestic industries, and also to supply intermediate inputs, do not accomplish its production, but accomplishes across the border in their production network. International Input-Output Table, as well as the regional input-output table, as defined in part by industry trade not only to sell (or source) in its own region, to sell to (or source from) other regions. Asian International Input-Output (AIIO) Table published by the Institute of Developing Economies (JETRO-I.D.E.) has been provided in the industrial classification by 7, 24, and 76 sectors in 10 countries (or economies). Classification used in this paper is 24 sectors. Using AIIO Table in 1995 and 2000, we analyze the changing interdependence of the Asian region between the year 1995 and 2000. The advantage of analysis in terms of the International Input-Output Table is in the same industry segment where we can 2

compare between different regional economies each other. Among 10 economies in Asia-Pacific region, Japan, Korea and China, except for the United States, have the economies of scale and large impact influence. We examine the magnitude of the interdependence occurred as economic activities in terms of the External Backward Linkage and the External Forward Linkage to analyze the height of the presence of the three countries in the Asian region. In this paper, we pay attention to intermediate demand in describing the interdependence across borders. Final demands in "Asian Input-Output Table" are divided into four categories in matrix. shows the input coefficient to be purchased by the j-th industrial sector in the country (or economy) S in the intermediate input produced in the i-th industrial sector in the country (or economy) R., where and (1) This matrix consists of elements of 24 24 2, and the matrix in case of R = S is the domestic intermediate demand. And, the matrix in the case of R S is to show the trade coefficient matrix from the economy R to the economy S. In the above notations, I, M, P, S, T, C, N, K, J and U representing the country (economy), refer to Indonesia, Malaysia, Philippines, Singapore, Thailand, China, Taiwan, Korea, Japan, and the United States, respectively. 2 For classification of industry, we adopted the same 24 sector classification as "Asian International Input-Output Table". In order to facilitate the description, we integrated into 7 sectors. For more information, please refer to the appendix of endnotes. 3

Interdependence in the Asian region In size of the economy, Japan, China, and Korea are very large in the presence in Asia-Pacific region. Asian International Input-Output Table provides the basic data showing the interdependence among these 10 countries (or economies). In this section, we analyse the purchasing and supplying the intermediate inputs in production activities, and examine how each industry in the entire Asian region involve mutually, and how large the magnitude of its involvement is. In the description of the industrial structure due to noise skyline of the previous sections is to bird's-eye the size of the economic activity of the country was able to, have not to explain that depend on each other how it across the border individual industries. We try to explain the interdependence of individual industry across borders. Therefore, in order to analyze the external interdependence, in the following analysis, we focus on the part of the trade matrix in AIIO Asian International Input-Output Table. However, because there is 24 industry sectors in each 10 countries, n=240. Input coefficient matrix makes up the (domestic intermediate input coefficient + trade coefficient) square matrix in the entire Asian International Input-Output Table. And, Leontief inverse obtained from this matrix is shown in. We calculate the External Backward Linkage and the External Forward Linkage involving the inverse of trade coefficient in AIIO. Whereas we calculated using Leontief inverse matrix in the part of domestic intermediate demand to get the indicators of backward linkage and forward linkage conventionally 3, we calculate the newly defined indicators; the External 3 Conventionally, the Backward Linkage and the Forward Linkage defined in the self-region ( ) are obtained in the calculation of the following Leontief Inverse.,. With respect to the concept of Backward Linkage and Forward Linkage and its application, refer to Miller Blair (2009) and Hasegawa (2011). 4

Backward Linkage, EBL and the External Forward Linkage, EFL. We calculate EBL and EFL as for the inverse of trade coefficient part with the other 9 regions ( ), excluding the Leontief inverse matrix in the self economic region (R=S), to identify the j-th sector in destination S and the i-th industry in the shipping region R, i.e., excluding the diagonal block-matrix of self region s transaction part, within the block-matrix consisting of 10 regions 4. In the globalized economy, companies behave cross-regionally across the border in the production process of goods and services. These activities can be described in terms of trade matrix that has been expanded to conduct fragmentation in sourcing. In contrast with the conventional definition of Backward Linkage and Forward Linkage, we call this new definition to use the part of trade coefficient as the External Backward Linkage, EBL and the External Forward Linkage, EFL. As for the coefficient of sensitivity coefficients and influence using one country table as a normal, the sourcing supplies has been ignored completely as export and import of intermediate goods. Explicitly, EFL and EBL defined here, focus on the strength of interdependence across border measured on the basis of the Leontief inverse derived from industrial activities in the self region economic activity at the beginning. In other words, when one unit of final demand for goods and services in the j-th sector in region S has increased, the External Backward Linkage can be defined to see how much the column sum as the increasing influence of industrial production diverge from an average increase, which make an impact on 216 sectors (= 240-24) in case of R S, to across the border, excluding the part of the self region., where R S (2) 4 The indicators EBL and EFL in terms of this definition were originally analyzed in Toshiaki et al. (2012). 5

On the other hand, the External Forward Linkage for the i-th sector of region R can be defined as the ratio of the increase of one unit of demand for all industry of each industrial sector 216 (= 240-24) of the row sum of R S line, to be purchased across the border, excluding the portion of the region to increase its own region, as a percentage of average value., where R S (3) Calculated the EBL and EFL defined in this manner for the inverse 216 216, it was compared to the indicators of the entire 10 economies in the upper part of Table 3. The lower part expresses about the top 10 of each indicator by a factor of attention to the three economies, China, Japan, and Korea. Listed to be noted mostly in the upper part of table, in both years of 1995 and 2000, it was Machinery industry (code 17) which maintained the high External Backward Linkage, in Malaysia, Philippines, Thailand, Singapore, and Taiwan in a whole Asia Pacific region. Additionally, the sector 16 (Metal products) in the Malaysia, 14 (Rubber products) in the Philippines, and sector 9 (Textile, leather, and the products thereof) and 18 (Transport equipment) in Malaysia, and sector 18 (Transport equipment) in Thailand are raised to the rank in the top 10 in this region. From the top 10 sectors in 2000, 9 (Textile leather, and the products thereof) and 18 (Transport equipment) in the Philippines, and 14 (Rubber products), 9 (Textile, leather, and the products thereof), and 18 (Transport equipment) in Singapore disappeared. Judging from the indicator EBL, it is clear that changes have occurred in the strength of the interdependence between economies in the Asian region. On the other hand, observed EFL in 10 economies, as for economies and industries ranked 6

in top 10 by comparing the 1995 and 2000, appearance are exactly same, but only slightly swapped in ranking. Namely, Japan and the United States have an overwhelming alone in sectors 17 (Machinery), 12 (Chemical products), 22 (Trade and transport), 23 (Services) and Japan added 16 (Metal products) and 18 (Transport equipment) to occupy the top 10. Looking at the top 10 of EBL and EFL in the lower part of Table 3, which were extracted only for three economies, Japan, China, and Korea, the indicator EBL in sectors 17, 14, 9, 12, 18, 10, 16, 19, 11 in Korea, except for sector 17 in China, shows a high value. C11 has appeared in 2000, replaced with K11. Also if you look at the top 10 in three countries for the indicator EFL, both in 1995 and 2000, Japan occupied in the industries of sector 17, 16, 12, 22, 23, 18, and 19. In addition, Korea for sector 12 and 16, and China entered in top 10 in code 12. As far as the indicators of EBL and EFL in 1995 and 2000 extracted only for the three countries, major changes in the interdependence of the top 10 industries cannot be observed in terms of new entry and exit. The indicator of EBL and the indicator of EFL were depicted all at once for both years in 1995 and 2000 in Figure 1 and Figure 2, respectively. Among them, what are arranged to extract the top 10 has been shown in the lower part of Table 1. 7

Table 1 External Backward Linkage and External Forward Linkage Remarks: The initial letter used for the code denotes for the name of economy, and the subsequent numbers indicate the number of industrial classification. 8

EFL in 2000 EFL in 1995 Figure 1 External Backward Linkage and External Forward Linkage of Japan, China and Korea in Asian Economies (1995) 15.0 J017 13.0 11.0 J016 J012 9.0 J022 J018 J023 U012 7.0 U022 U023 U017 5.0 U016 U011 3.0 J019 J011 C016 K016 K012 N012 S013 I006 C022 K017S012 J020 U019 M006U018 C012 C009 M017 S017 I022 M010 M022 I010 M004 I007 I023 I011 M014 S022 S023 N009 U002 N016 J015 J009 C017 N017 N022 M023 M008 I009 I012 M012 M016 I004 I002 I005 I001 I003 I008 I013 I014 I016 I020 I015 I021 I019I018 I017 M009 I024M001 M002M003 P022M020 M013 M005 M007 M015 M011 M021 M019 S016 P001 P003 P002 P004P013 P023 P008 P005 P020 P010P006 P007 M024 P016S011 S019 S001 S004 S006 T004 T006T007 T001 T002T003 P024 T005 T008 T014 S020 T009 T012 T017 C002 T022 C003 C006 C007 K009 1.0 U020 U013 U008 K022 K023 N023 J013J014 U006 U007 C015 C019 C020 C023 T023 C008 C013 K013 C010 C011 K011 C004 C001 T020 T015 T013 T010 P021 S003 S002 S005 P014P012 T011 P015 P019 S007 S021 S008 S015 S024 T016 C005 C014 C018 N004 C024 N001 T024 N006 N002 C021 N005 N007 N003 N008 T021 T019 N011 N019 K015 N013 N020 K019K018 K006K007 K001 K004 K002K005 N024 K003 K008 K020 J006 J004 J001 J002 J007 U004 U009 J021 J008 J005 J003 K021 J010 U001 J024 U003 U015 U010 U021 U005 U014 U024 K024 N015N021 K010 N018 N014 K014 T018 S010 N010 P011 M018 S018P009 S009 S014 P017 P018 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0-1.0 EBL in 1995 15.0 Figure 2 External Backward Linkage and External Forward Linkage of Japan, China and Korea in Asian Economies (2000) 13.0 J017 11.0 J016 J012 9.0 J022 J023 7.0 U023 U012 U022 U017 5.0 J018 K012 J019 S013 3.0 U016 C016 C012 K016 K017 I006 U011 S017 J011 U019 C022 C017 N012 N017 C009 M006 M017 U002 K023 N022 N023 J020 K013 M022 N016 S012 I022 S022 N009 U013 M023 U008 I007 C002 C013 T022 C023 U018 I001 I002 I011 I012 M013 M008 1.0 J015 K022 S023 M010 M012 M016 C006C007 C020 K009 J013J014 C019 T012 T017 U020 U006 I004I008 I010 I013 I016 I009 I017 I023C008 M002 M004 M019 T002 S016 I005 I003 I020 I024 I015 M001 M005 M020 I021 M003 I018 M009 P017 P022 T013 T023 T008 T009 I014 M007 I019 M015 M014 M011 S001 S004 S006P001P002 P024 P006 P005 P004 P023 P003 P008 P013 S011 S019 C003 T004 T006 T020 T014 T003 T007 T005 T001P007 S020 T011 P021 S007 T015 T019 T016 C004 C005 C001 C015C014 C010 C018 K011 C011 N011 N019 U004 J021 N013 K019 N020 U007 K020 K001 N006 K002 N001 N004 C024 N002 T024N007 C021 N003 N005 P020 N021 N008 N015 K006K007 K004 N024 K005 K003 K015 K008 T010 K010 N010 K018 J004J005 J006 J001 J002J003 J007 J008J009 U001 J024 U003 U015 U010 U009 U005 U024 U021 U014 K024 K021 J010 P010 M024 S024 T021 K014 S002 P015 S021 P011 N014N018 S003 S015 M021 S009 S005 P012 S010S014 S018 P016 P009 P019 P018 S008 T018 M018 P014 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0-1.0 EBL in 2000 9

Concluding Remarks In the analysis using Asian International Input-Output Table, this paper could successfully depicted the strength of interdependence in Asia-Pacific region interconnected in supplying and sourcing by industry across border, especially expanded by Japan, China, and Korea. Despite the compared time span in five years, from the analysis of the External Backward Linkage and the External Forward Linkage shows the interdependence of industrial activity in the Asia-Pacific region, compared to the economy in a whole 10 Asia-Pacific region, the change occurred among economies on the strength of interdependence in Asia-Pacific region could be observed. In consequence, in spite of the growing scale of Chinese economy, Chinese industries have not been ranked necessarily in the top group. In Asia-Pacific region, Korea had many industries in the top group to indicate those strengths in the External Backward Linkage of interdependence. Japan has shown the overwhelming strength, keeping those positions in many industries at the higher rank in the External Forward Linkage. It is expected that the formation of regional trade agreement settled by Asian big three economies to reduce trade costs might enhance the intra-regional trade as European Union has experienced. 10

Reference Yun Xu and Toshiaki Hasegawa (2011), Industrial Skyline and Demand Structure in Asian Economies, in T. Hasegawa (ed.), Market Integration in APEC, Chuo University Press, (in Japanese). Toshiaki Hasegawa (2011), Analysis of Industrial Interdependence using Chinese Inter-regional Input-Output Table, (in Japanese), Review of Economics, Vol. 51, No. 3&4, Chuo University. JETRO-I.D.E. (2001), Asian International Input-Output Table 1995. JETRO-I.D.E. (2006), Asian International Input-Output Table 2000, Vol. 1 & 2. Miller, Ronald E. and Peter D. Blair (2009), Input-Output Analysis Foundations and Extensions, 2 nd edition, Cambridge University Press. Toshiaki Hasegawa and Yun Xu (2012), Industrial Structure and Interdependence in Asian Economies, (in Japanese), Input-Output Analysis, Innovation & I-O Technique, Vol. 20, No. 1. 11