June 2014 Joji tokui (Shinshu University and rieti), Tsutomu miyagawa (Gakushuin University and rieti), Kazuyasu kawasaki


Appendix 3: The Relationship between Matrices A and B



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Appendix 3: The Relationship between Matrices A and B

The standard input coefficient matrix A is defined as follows.



X = Z + F



On the other hand, B matrix of the forward linkage is . Solving for Z, we obtain . By substituting this, we have,

,

or

.

References (In Japanese)

Development Bank of Japan (2011a), “Higashi Nihon Dai Shinsai Shihon Stock Higaikingaku Suite nit suite: Area betsu (ken-bestu/nairiku, engan-betsu ni suikei)”, DBJ News, April 28, 2011

Development Bank of Japan (2011b), “Daishinsai ga Chiiki Keizai ni Ataeru Eikyou ni Tsuite: Hanshin-Awaji Daishindai wo Case Study to shite”, December 22, 2011

References (in English)

Fukao, K., S. Hamagata, T. Inui, K. Ito, H. Kwon, T. Makino, T. Miyagawa, Y. Nakanishi, and J. Tokui (2007) “Estimation Procedure and TFP Analysis of the JIP Database 2006 (revised) ”, RIETI Discussion Paper Series 07-E-003, the Research Institute of Economy, Trade and Industry, Tokyo.

Miller, Ronald E. and Peter D. Blair (2009), Input-Output Analysis: Foundations and Extensions 2nd edition, Cambridge University Press.

Table 1 The actual production decline right after the Great East-Japan Earthquake by region






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