Introduction to Regional Input-Output Model

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Input-Output Model X 1 = a 11 X 1 + a 12 X 2 + … + a 1n X n + Y 1 X 2 = a 21 X 1 + a 22 X 2 + … + a 2n X n + Y 2 … … … … … … X n = a n1 X 1 + a n2 X 2 + … + a nn X n + Y n X 1 = Z 11 + Z 12 + … + Z 1n + Y 1 X 2 = Z 21 + Z 22 + … + Z 2n + Y 2 … … … … … … X n = Z n1 + Z n2 + … + Z nn + Y n z ij = a ij x j 1-a 11 a 12 … a 1n X 1 Y 1 a 21 1- a 22 … a 2n X 2 Y 2 … … … … … = … a n1 a n2 … 1-a nn X n Y n (I-A)X = Y
Input-Output Model (I-A)X=Y or X = (I-A) -1 Y Input-Output Model • X: total output vector • Y: final demand vector • Household • Investment • Government • Export • A: technical coefficient (a ij ) matrix ΔX = (I-A) -1 ΔY How to use for impact analysis?? • ΔY: change in final demand • ΔX: change in total output
Page 1 and 2: Introduction to Regional Input-Outp
Page 3 and 4: Economic base model Total employme
Page 5 and 6: Macro Economics ? Micro Economics ?
Page 7 and 8: Household and Industry Households b
Page 9: Production technology, production f
Page 13 and 14: Making technical coefficients Examp
Page 15 and 16: Example dZ ij Purchases Sales X 1 X
Page 17 and 18: A : n X n Open (Type I) Model Total
Page 19 and 20: Closed (Type II) Model H R : househ
Page 21 and 22: Regional Input-Output Model Nationa
Page 23 and 24: Single region vs. Many region model
Page 25 and 26: a RR ij = z RR ij / X R j a LL ij
Page 27 and 28: Regional Technical Coefficient a ij
Page 29 and 30: Interregional Model Interregional t
Page 31 and 32: Interregional Model L LR LR LL LL L
Page 33 and 34: Multiregional Model ⎥ ⎦ ⎤ ⎢

Introduction to Regional Input-Output Model

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