Input-output analysis: foundations and extensions
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literturangaben, Personen- u. Sachindex. - Hier auch später erschienene, unveränderte Nachdrucke. - 1. ed. publ. by Prentice Hall, 1985 |
| Physical Description: | XXXII, 750 S. graph. Darst. |
| ISBN: | 9780521739023 9780521517133 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV035894680 | ||
| 003 | DE-604 | ||
| 005 | 20220321 | ||
| 007 | t | ||
| 008 | 091217s2009 xxkd||| |||| 00||| eng d | ||
| 010 | |a 2009008470 | ||
| 020 | |a 9780521739023 |c pbk |9 978-0-521-73902-3 | ||
| 020 | |a 9780521517133 |c hbk |9 978-0-521-51713-3 | ||
| 035 | |a (OCoLC)699650283 | ||
| 035 | |a (DE-599)GBV593090306 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxk |c XA-GB | ||
| 049 | |a DE-703 |a DE-11 |a DE-83 |a DE-473 |a DE-188 |a DE-Re13 |a DE-29 | ||
| 050 | 0 | |a HB142 | |
| 082 | 0 | |a 339.2/3 | |
| 084 | |a QC 141 |0 (DE-625)141255: |2 rvk | ||
| 084 | |a QI 300 |0 (DE-625)141621: |2 rvk | ||
| 100 | 1 | |a Miller, Ronald E. |d 1933- |e Verfasser |0 (DE-588)122360052 |4 aut | |
| 245 | 1 | 0 | |a Input-output analysis |b foundations and extensions |c Ronald E. Miller and Peter D. Blair |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XXXII, 750 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literturangaben, Personen- u. Sachindex. - Hier auch später erschienene, unveränderte Nachdrucke. - 1. ed. publ. by Prentice Hall, 1985 | ||
| 650 | 4 | |a Input-output analysis | |
| 650 | 0 | 7 | |a Input-Output-Analyse |0 (DE-588)4027105-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Input-Output-Analyse |0 (DE-588)4027105-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Blair, Peter D. |d 1951- |e Verfasser |0 (DE-588)170093239 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-0-511-62698-2 |w (DE-604)BV043923699 |
| 787 | 0 | 8 | |i Überarbeitung von |d Englewood Cliffs, NJ : Prentice-Hall, 1985 |z 0-13-466715-8 |w (DE-604)BV005277018 |
| 787 | 0 | 8 | |i Überarbeitet als |b 3. edition |d Cambridge : Cambridge University Press, 2022 |z 978-1-108-72353-4 |z 978-1-108-48476-3 |w (DE-604)BV047843329 |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018752124&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018752124 | ||
Record in the Search Index
| _version_ | 1804140871260569600 |
|---|---|
| adam_text | Contents
List of
Figures
page
xxii
List of Tables
xxiv
Preface
xxix
1
Introduction and Overview
1
1.1
Introduction
1
1.2
Input-Output Analysis: The Basic Framework
2
1.3
Outline for this Text
3
1.4
Internet Website and Text Locations of Real
Datasets
8
References
9
2
Foundations of Input—Output Analysis
10
2.1
Introduction
10
2.2
Notation and Fundamental Relationships
10
2.2.1
Input-Output Transactions and National Accounts
13
2.2.2
Production Functions and the Input-Output Model
15
2.3
An Illustration of Input-Output Calculations
21
2.3.1
Numerical Example: Hypothetical Figures
-
Approach I
21
Impacts on Industry Outputs
21
Other Impacts
24
2.3.2
Numerical Example: Hypothetical Figures
—
Approach II
26
2.3.3
Numerical Example: Mathematical Observations
27
2.3.4
Numerical Example: The US
2003
Data
29
2.4
The Power Series Approximation of (I
—
A)~
31
2.5
Open Models and Closed Models
34
2.6
The Price Model
41
2.6.1
Overview
41
2.6.2
Physical vs. Monetary Transactions
42
2.6.3
The Price Model based on Monetary Data
43
vi
Contents
2.6.4
Numerical Examples Using the Price Model based
on Monetary Data
44
Example
1:
Base Year Prices
44
Example
2:
Changed Base Year Prices
45
2.6.5
Applications
46
2.6.6
The Price Model based on Physical Data
47
Introduction of Prices
48
Relationship between A and
С
49
2.6.7
Numerical Examples Using the Price Model based on
Physical Data
50
Example
1:
Base Year Prices
50
Example
2:
Changed Base Year Prices
51
2.6.8
The Quantity Model based on Physical Data
51
2.6.9
A Basic National Income Identity
53
2.7
Summary
53
Appendix
2.1
The Relationship between Approaches I and II
54
A2.1.1 Approach I
54
A2.1.2 Approach II
55
Appendix
2.2
The Hawkins-Simon Conditions
58
Problems
62
References
66
3
Input-Output Models at the Regional Level
69
3.1
Introduction
69
3.2
Single-Region Models
70
3.2.1
National Coefficients
70
3.2.2
Regional Coefficients
72
3.2.3
Closing a Regional Model with respect to Households
74
3.3
Many-Region Models: The Interregional Approach
76
3.3.1
Basic Structure of Two-Region Interregional Input-Output
Models
77
3.3.2
Interregional Feedbacks in the Two-Region Model
80
3.3.3
Numerical Example: Hypothetical Two-Region Interregional
Case
82
3.3.4
Interregional Models with more than Two Regions
86
3.3.5
Implementation of the IRIO Model
87
3.4
Many-Region Models: The
Multiregional
Approach
87
3.4.1
The Regional Tables
87
3.4.2
The Interregional Tables
89
3.4.3
The
Multiregional
Model
91
3.4.4
Numerical Example: Hypothetical Two-Region
Multiregional
Case
93
Contents
vii
3.4.5
The US MRIO Models
96
3.4.6
Numerical Example: The Chinese
Multiregional
Model for
2000 97
3.5
The Balanced Regional Model
101
3.5.1
Structure of the Balanced Regional Model
101
3.5.2
Numerical Example
104
3.6
The Spatial Scale of Regional Models
105
3.7
Summary
106
Appendix
3.1
Basic Relationships in the
Multiregional
Input-Output
Model
107
Appendix
3.2
Sectoral and Regional Aggregation in the
2000
Chinese
Multiregional
Model
109
Appendix
3.3
The Balanced Regional Model and the Inverse of a
Partitioned (I
-
A) Matrix
110
Problems
111
References
115
4
Organization of Basic Data for Input-Output Models
119
4.1
Introduction
119
4.2
Observations on Ad Hoc Survey-Based Input-Output Tables
119
4.3
Observations on Common Methods for Generating
Input-Output Tables
120
4.4
A System of National Economic Accounts
121
4.4.1
The Circular Row of Income and Consumer Expenditure
122
4.4.2
Savings and Investment
123
4.4.3
Adding Overseas Transactions: Imports, Exports, and Other
Transactions
126
4.4.4
The Government Sector
127
4.4.5
The Consolidated Balance Statement for National Accounts
128
4.4.6
Expressing Net Worth
131
4.5
National Income and Product Accounting Conventions
133
4.6
Assembling Input-Output Accounts: The US Case
134
4.7
Additional Considerations
137
4.7.1
Secondary Production: Method of
Reallocation
140
Example
1:
Réallocation
of Secondary Production
141
4.7.2
Secondary Production: Commodity-by-Industry Accounting
142
Example
2:
Commodity-by-Industry Accounts
142
4.7.3
Reconciling with the National Accounts
143
4.7.4
Producers and Consumers Prices
144
Example
3:
Trade and Transportation Margins
146
4.7.5
Accounting for Imports and Exports
149
Example
4:
Competitive and
Noncompetitive
Imports
149
viii Contents
4.7.6
Removing Competitive Imports from Total Transactions
Tables
150
Approximation Method I
151
Approximation Method II
151
Example
5:
Import Scrubbing
152
Implications of the Estimating Assumptions
154
4.7.7
Adjustments for Inventory Change
157
4.7.8
Adjustments for Scrap
157
4.8
Valuation and Double Deflation
157
Example
6:
Double Deflation
159
4.9
The Aggregation Problem: Level of Detail in Input-Output Tables
160
4.9.1
The Aggregation Matrix
161
Example
7:
Sectoral Aggregation
162
4.9.2
Measures of Aggregation Bias
165
4.10
Summary
168
Appendix
4.1
Spatial Aggregation in IRIO and MRIO Models
168
A4.1.1
Spatial Aggregation of IRIO Models
168
A4.1.2
Spatial Aggregation of MRIO Models
172
Problems
176
References
180
5
The Commodity-by-Industry Approach in Input-Output Models
184
5.1
Introduction
184
5.1.1
The Use Matrix
185
5.1.2
The Make Matrix
186
5.2
The Basic Accounting Relationships
187
5.3
Technology and Total Requirements Matrices in the
Commodity-Industry Approach
188
5.3.1
Industry Source of Commodity Outputs
189
5.3.2
Commodity Composition of Industry Outputs
189
5.3.3
Generating Total Requirements Matrices
189
Using
D
190
Using
С
191
5.3.4
Industry-Based Technology
192
5.3.5
Commodity-Based Technology
193
5.3.6
Direct Requirements (Technical Coefficients) Matrices
Derived from Basic Data
195
5.3.7
Total Requirements Matrices
196
Approach I: Starting with Technical Coefficients
196
Approach II: Avoiding C~l in Commodity Technology Cases
198
Is Singularity Likely to be a Problem in Real-World Models?
199
5.4
Numerical Examples of Alternative Direct and Total Requirements
Matrices
201
Contents ix
5.4.1
Direct
Requirements
Matrices
202
5.4.2
Total Requirements Matrices
202
Commodity-Demand Driven Models
202
Industry-Demand Driven Models
202
5.5
Negative Elements in the Commodity-Industry Framework
203
5.5.1
Commodity Technology
203
Direct Requirements Matrices
203
Transactions Matrices
205
Total Requirements Matrices
206
5.5.2
Industry Technology
207
Direct Requirements Matrices
207
Total Requirements Matrices
207
5.5.3
Making a Model Choice
208
Which Model to Choose
? 208
Dealing with Negative Values
209
5.6
Nonsquare
Commodity-Industry Systems
211
5.6.1
Commodity Technology
211
5.6.2
Industry Technology
212
Direct Requirements Matrices
212
Total Requirements Matrices
213
5.7
Mixed Technology in the Commodity—Industry Framework
213
5.7.1
Commodity Technology in Vj
216
5.7.2
Industry Technology in V]
218
5.7.3
Numerical Examples with Mixed Technology
Assumptions
219
Example
1:
Commodity Technology in
219
Example
2:
Industry Technology in
Vi 220
5.7.4
Additional Mixed Technology Variants
220
5.8
Summary
222
Appendix
5.1
Alternative Approaches to the Derivation of Transactions
Matrices
223
A5.1.1 Industry Technology
224
Commodity-by-Commodity Requirements
224
Industry-by-Industry Requirements
225
A5.1.2 Commodity Technology
226
Commodity-by-Commodity Requirements
226
Industry-by-Industry Requirements
228
Appendix
5.2
Elimination of Negatives in Commodity Technology
Models
229
A5.2.1 The Problem
229
3x3
Example
229
4x4
Example
229
5x5
Example (from
Almon,
2000) 230
Contents
A5.2.2
Approaches to Elimination of Negative Elements
230
A5.2.3 Results of the Iterative Procedure
234
3x3
Example
234
4x4
Example
234
5x5
Example
235
Problems
237
References
240
Multipliers in the Input-Output Model
243
6.1
Introduction
243
6.2
General Structure of Multiplier Analysis
244
6.2.1
Output Multipliers
245
Simple Output Multipliers
245
Total Output Multipliers
247
Example: The US Input-Output Model for
2003
248
Output Multipliers in Commodity-Industry Models
249
Commodity-Demand-Driven Models
249
Industry-Demand-Driven Models
250
6.2.2
Income/Employment Multipliers
250
Income Multipliers
250
Type I and Type II Income Multipliers
252
Relationship Between Simple and Total Income Multipliers or
Between Type I and Type II Income Multipliers
253
Which Multiplier to Use?
254
Even More Income Multipliers
255
Physical Employment Multipliers
255
6.2.3
Value-Added Multipliers
256
6.2.4
Matrix Representations
256
6.2.5
Summary
257
6.3
Multipliers in Regional Models
259
6.3.1
Regional Multipliers
259
6.3.2
Interregional Input-Output Multipliers
261
Intraregional
Effects
261
Interregional Effects
262
National Effects
263
Sectoral Effects
263
More Than Two Regions
264
6.3.3 Multiregional
Input-Output Multipliers
264
Intraregional
Effects
266
Interregional Effects
267
National Effects
267
Sectoral Effects
267
Contents xi
Final
Demand for Goods Made in a Particular Region
267
More Than Two Regions
268
6.4
Miyazawa Multipliers
271
6.4.1
Disaggregated Household Income Groups
271
6.4.2
Miyazawa s Derivation
273
6.4.3
Numerical Example
275
6.4.4
Adding a Spatial Dimension
276
6.5
Gross and Net Multipliers in Input-Output Models
278
6.5.1
Introduction
278
6.5.2
Multipliers in the Net Input-Output Model
278
Numerical Example
280
6.5.3
Additional Multiplier Variants
280
(Indirect Effects
)/(
Direct Effects)
280
Growth Equalized Multipliers
281
Another Kind of Net Multiplier
282
6.6
Multipliers and Elasticities
283
6.6.1
Output Elasticity
283
6.6.2
Output-to-Output Multipliers and Elasticities
283
Direct Effects
283
Total Effects
284
6.7
Multiplier Decompositions
285
6.7.1
Fundamentals
285
6.7.2
Decompositions in an Interregional Context
286
6.7.3
Stone s Additive Decomposition
288
6.7.4
A Note on Interregional Feedbacks
289
6.7.5
Numerical Illustration
290
6.8
Summary
294
Appendix
6.1
The Equivalence of Total Household Income Multipliers
and the Elements in the Bottom Row of (I
-
A) 1
295
Appendix
6.2
Relationship Between Type I and Type II Income
Multipliers
296
Problems
297
References
299
7
Nonsurvey and Partial-Survey Methods: Fundamentals
303
7.1
Introduction
303
7.2
The Question of Stability of Input-Output Data
303
7.2.1
Stability of National Coefficients
304
Comparisons of Direct-Input Coefficients
305
Comparisons of
Leon tief
Inverse Matrices
305
Other Summary Measures
307
Data for the US Economy
307
xii Contents
7.2.2 Constant versus
Current Prices
307
7.2.3
Stability of
Regional
Coefficients
309
7.2.4
Summary
310
7.3
Updating and Projecting Coefficients: Trends, Marginal Coefficients
and Best Practice Methods
311
7.3.1
Trends and Extrapolation
311
7.3.2
Marginal Input Coefficients
311
7.3.3
Best Practice Firms
312
7.4
Updating and Projecting Coefficients: The
RAS
Approach
and Hybrid Methods
ЗІЗ
7.4.1
The
RAS
Technique
313
7.4.2
Example of the
RAS
Procedure
320
7.4.3
Updating Coefficients vs. Transactions
327
Numerical Illustration
327
7.4.4
An Economic Interpretation of the
RAS
Procedure
328
7.4.5
Incorporating Additional Exogenous Information in an
RAS
Calculation
330
7.4.6
Modified Example: One Coefficient Known in Advance
331
7.4.7
Hybrid Models:
RAS
with Additional Information
333
7.4.8
The Constrained Optimization Context
334
7.4.9
Infeasible Problems
335
7.5
Summary
336
Appendix
7.1
RAS as a
Solution to the Constrained Minimum Information
Distance Problem
337
Problems
338
References
343
8
Nonsurvey and Partial-Survey Methods: Extensions
347
8.1
Introduction
347
8.2
Location Quotients and Related Techniques
349
8.2.1
Simple Location Quotients
349
8.2.2
Purchases-Only Location Quotients
353
8.2.3
Cross-Industry Quotients
353
8.2.4
The Semilogarithmic Quotient and its Variants,
FLQandAFLQ
354
8.2.5
Supply-Demand Pool Approaches
356
8.2.6
Fabrication Effects
356
8.2.7
Regional Purchase Coefficients
357
8.2.8
Community Input-Output Models
358
8.2.9
Summary
359
8.3
RAS in a
Regional Setting
360
8.4
Numerical Illustration
361
Contents xiii
8.5
Exchanging Coefficients Matrices
363
8.6
Estimating Interregional Flows
364
8.6.1
Gravity Model Formulations
365
8.6.2
Two-Region Interregional Models
366
8.6.3
Two-Region Logic with more than Two Regions
367
8.6.4
Estimating Commodity Inflows to
a Substate
Region
369
8.6.5
Additional Studies
371
Commodity Flows among US States
371
An Optimization Model for Interregional Flows
372
8.7
Hybrid Methods
373
8.7.1
Generation of Regional Input-Output Tables (GRIT)
374
8.7.2
Double-Entry Bi-Regional Input-Output Tables (DEBRIOT)
375
8.7.3
The
Multiregional
Input-Output Model for China,
2000
(CMRIO)
377
8.8
International Input-Output Models
378
8.8.1
Introduction
378
8.8.2
Asian International Input-Output Tables
378
8.8.3
Hybrid Many-Region Models for the EC
380
8.8.4
China-Japan Transnational Interregional Input-Output
(TUO)
Model,
2000 381
Chinese Exports to Japan for Intermediate Demand
381
Applications
383
8.8.5 Leontief
s World Model
383
8.9
The Reconciliation Issue
384
8.10
Summary
386
Appendix
8.1
Geographical Classifications in the World Input-Output
Model
387
Problems
387
References
392
9
Energy Input-Output Analysis
399
9.1
Introduction
399
9.1.1
Early Approaches to Energy Input-Output Analysis
400
9.1.2
Contemporary Energy Input-Output Analysis
400
9.2
Overview Concepts of Energy Input-Output Analysis
401
9.2.1
The Basic Formulation
403
9.2.2
The Total Energy Requirements Matrix
404
Example
9.1:
Two-Sector Illustration of Hybrid Units
Input-Output Analysis
407
Example
9.2:
Generalization to Several Energy Types
408
9.2.3
The Hybrid Units Formulation and Energy Conservation
Conditions
410
xiv Contents
Example
9.2:
Generalization to Several Energy Types
(Revisited)
411
9.3
Further Methodological Considerations
411
9.3.1
Adjusting for Energy Conversion Efficiencies
412
Example
9.3:
Adjusting for Energy Conversion Efficiencies
412
9.3.2
Accounting for Imports
413
9.3.3
Commodity-by-Industry Energy Models
413
9.4
Applications
414
9.4.1
Net Energy Analysis
414
Example
9.4:
Net Energy Analysis
415
9.4.2
Energy Cost of Goods and Services
417
9.4.3
Impacts of New Energy Technologies
421
9.4.4
An Energy Tax
421
9.4.5
Energy and Structural Change
421
9.4.6
Energy Input-Output and Econometrics
423
9.4.7
Other Applications
427
9.5
Summary
427
Appendix
9.1
Earlier Formulation of Energy Input-Output Models
428
A9.1.1 Introduction
428
A9.
1.2
Illustration of the Implications of the Traditional Approach
430
Example
9.5:
Energy Input-Output Alternative Formulation
430
Example
9.6:
Energy Input—Output Example (Revised)
431
Extensions of Example
9.1 433
A9.
1.3
General Limitations of the Alternative Formulation
437
Problems
437
References
442
10
Environmental Input-Output Analysis
446
10.1
Introduction
446
10.2
Basic Considerations
446
10.3
Generalized Input-Output Analysis: Basic Framework
447
10.3.1
Accounting for Pollution Impacts
447
10.3.2
Generalized Impacts
447
Example
10.1:
Generalized Input-Output Analysis
448
10.3.3
Summary: Generalized Input-Output Formulations
451
Case I: Impact Analysis Form
451
Case II: Planning Form
452
10.4
Generalized Input-Output Analysis: Extensions of the
Planning Approach
452
10.4.1
Linear Programming: A Brief Introduction by Means of the
Leontief
Model
452
10.4.2
Multiple Objectives
457
Contents xv
10.4.3
Conflicting
Objectives
and Linear Goal Programming 457
10.4.4
Additional Observations
461
Specifying Objectives
461
Tightly Constrained Problems
462
Solution Methods
462
10.4.5
Applications to the Generalized Input-Output Planning
Problem
463
10.4.6
Policy Programming
469
Impact Analysis Form
470
Planning Form
470
10.4.7
Ecological Commodities
473
10.5
An Augmented
Leontief
Model
475
10.5.1
Pollution Generation
475
10.5.2
Pollution Elimination
478
Example
10.2:
Pollution-Activity-Augmented
Leontief
Model
479
10.5.3
Existence of Non-negative Solutions
480
Example
10.2
(Revisited): Pollution-Activity-Augmented
Leon tief
Model
482
10.6
Economie-Ecologie
Models
483
10.6.1
Fully Integrated Models
483
10.6.2
Limited
Economie-Ecologie
Models
484
Economic Subsystem
484
Ecologie
Subsystem
485
Commodity-by-Industry Formulation
485
Example
10.3:
Limited
Economie-Ecologie
Models
485
10.7
Pollution Dispersion
487
10.7.1
Gaussian Dispersion Models
487
10.7.2
Coupling Pollution Dispersion and Input-Output Models
488
Example
10.4:
Coupling Input—Output and Pollution
Dispersion Models
488
10.8
Other Applications
489
10.9
Summary
490
Problems
490
References
494
11
Social Accounting Matrices
499
11.1
Introduction
499
11.2
Social Accounting Matrices: Background
499
11.3
Social Accounting Matrices: Basic Concepts
501
11.4
The Households Account
502
11.5
The Value-Added Account
504
xvi Contents
11.6
Interindustry Transactions and the Connection to the Input-Output
Framework
504
11.7
Expanding the Social Accounts
507
11.8
Additional Social Accounting Variables
507
11.9
A Fully Articulated SAM
510
11.10
SAM Multipliers
513
11.10.1
SAM Multipliers: Basic Structure
514
11.10.2
Decomposition of SAM Multipliers
516
Example
11.1:
Reduced Form Case
518
11.10.3
Multipliers in an Expanded SAM
522
Example
11.2:
The Expanded Case
524
11.10.4
Additive Multipliers
528
11.11
The Relationship between Input-Output and SAM Multipliers
530
11.12
Balancing SAM Accounts
535
11.12.1
Example: Balancing a SAM
535
11.12.2
Example: Balancing a SAM with Additional
Information
536
11.13
Some Applications of
S
AMs
536
11.14
Summary
537
Problems
537
References
541
12
Supply-Side Models, Linkages, and Important Coefficients
543
12.1
Supply Side Input-Output Models
543
12.1.1
The Early Interpretation
543
Numerical illustration (Hypothetical Data)
546
Numerical Application
(
US Data)
547
12.1.2
Relationships between A and
В
and between
L
and
G
547
12.1.3
Comments on the Early Interpretation
548
12.1.4
Joint Stability
549
The Issue
549
Conditions under which both A and
В
will be Stable
551
12.1.5
Reinterpretation as a Price Model
551
Connection to the
Leontief
Price Model (Algebra)
553
Connection to the
Leon tief
Price Model (Numerical
Illustration)
553
A Ghosh Quantity Model
554
12.2
Linkages in Input-Output Models
555
12.2.1
Backward Linkage
556
12.2.2
Forward Linkage
558
12.2.3
Net Backward Linkage
558
12.2.4
Classifying Backward and Forward Linkage Results
559
Contents xvii
12.2.5
Spatial
Linkages
560
12.2.6
Hypothetical Extraction
563
Backward Linkage
564
Forward Linkage
564
12.2.7
Illustration Using US Data
565
12.3
Identifying Important Coefficients
567
12.3.1
Mathematical Background
568
12.3.2
Relative Sizes of Elements in the
Leontief
Inverse
569
Observation
1 569
Observation
2 570
Observation
3 570
12.3.3
Inverse-Important Coefficients
570
12.3.4
Numerical Example
572
12.3.5
Impacts on Gross Outputs
573
12.3.6
Fields of Influence
578
12.3.7
Additional Measures of Coefficient Importance
580
Converting Output to Employment, Income, etc.
580
Elasticity Coefficient Analysis
5 81
Relative Changes in All Gross Outputs
581
Impacts of Changes in more than One Element of the
A Matrix
582
12.4
Summary
582
Appendix
12.1
The Sherman-Morrison-Woodbury Formulation
582
Al
2.1.1
Introduction
582
Al
2.1.2
Application to
Leontief
Inverses
585
Problems
585
References
587
13
Structural Decomposition, Mixed and Dynamic Models
593
13.1
Structural Decomposition Analysis
593
13.1.1
Initial Decompositions: Changes in Gross Outputs
593
Numerical Example
596
13.1.2
Next-Level Decompositions: Digging Deeper into
Af and
AL
598
Additive Decompositions with Products of more than Two Terms
598
Changes in Final Demand
599
13.1.3
Numerical Examples
601
One Category of Final Demand (p
=
I)
601
Two Categories of Final Demand (p
= 2) 601
13.1.4
Changes in the Direct Inputs Matrix
602
Decomposition of
AL·
602
Decomposition of
Δ
A
604
Numerical Illustration (continued)
605
Contents
13.1.5
Decompositions of Changes in Some Function of
χ
606
13.1.6
Summary for
Δχ
607
13.1.7
SDA in
a
Multiregional
Input-Output (MRIO) Model
607
13.1.8
Empirical Examples
608
Studies Using National Models
608
Studies
Ό
sing a Single-Region or Connected-Region
Model
615
13.2
Mixed Models
621
13.2.1
Exogenous Specification of One Sector s Output
621
Rearranging the Basic Equations
621
Extracting the Sector
624
13.2.2
An Alternative Approach When/i
,.. .,ƒ„_!
and xn Are
Exogenously Specified
625
13.2.3
Examples with xn Exogenous
626
Example l:fx
= 100,000,
f2
= 200,000,
X3
= 150,000 626
Example
2:
f
χ
=
f2
=
О,дг3 =
150,000 627
Example 3:f
= 100,
000,/2
= 200,000,
д:3
= 100,000 628
Example
4:
The Critical Value ofxj
628
Multipliers
629
13.2.4
Exogenous Specification off ,
..
.,/^,χ^+ι,.
■
-,xn
629
13.2.5
An Example with;tn_ and xn Exogenous
632
Example
5
(Example
2
expanded)
632
13.3
New Industry Impacts in the Input-Output Model
633
13.3.1
New Industry: The Final-Demand Approach
634
13.3.2
New Industry: Complete Inclusion in the Technical
Coefficients Matrix
636
13.3.3
A New Firm in an Existing Industry
637
13.3.4
Other Structural Changes
639
13.4
Dynamic Considerations in Input-Output Models
639
13.4.1
General Relationships
639
13.4.2
A Three-Period Example
642
Terminal Conditions
643
Initial Conditions
644
13.4.3
Numerical Example
1 645
Terminal Conditions
646
Initial Conditions
648
13.4.4
Numerical Example
2 649
Terminal Conditions
649
Initial Conditions
649
13.4.5
Dynamic Multipliers
650
13.4.6
Turnpike Growth and Dynamic Models
651
Example
653
Contents xix
13.4.7 Alternative
Input-Output
Dynamics 653
13.5
Summary
654
Appendix 13.1 Alternative
Decompositions of
χ
= LBf 655
Appendix 13.2
Exogenous Specification of Some Elements of
χ
656
A
13.2.1
The General Case: An
η
-sector
Model with
к
Endogenous
Outputs
656
A13.2.2 The Output-to-Output Multiplier Matrix
658
A13.2.3 The Inverse of a Partitioned (I
-
A(n)) Matrix
659
A
13.2.4
The Case of
к
= 2,
η =
3 659
A13.2.5 The Case of
к
= 1,
η =
3 660
A13.2.6 Extracting the Last
(и
-
к)
Sectors
662
Problems
663
References
665
14
Additional Topics
669
14.1
Introduction
669
14.2
Input-Output and Measuring Economic Productivity
670
14.2.1
Total Factor Productivity
670
14.2.2
Numerical Example: Total Factor Productivity
672
14.2.3
Accounting for Prices
673
14.2.4
References for Section
14.2 674
14.3
Graph Theory, Structural Path Analysis, and Qualitative
Input-Output Analysis (QIOA)
674
14.3.1
References for Section
14.3 677
14.4
Fundamental Economic Structure (FES)
678
14.4.1
References for Section
14.4 679
14.5
Input-Output, Econometrics, and Computable General Equilibrium
Models
679
14.5.1
The Variable Input-Output Model
680
14.5.2
Regional Input-Output Econometric Models
681
14.5.3
Computable General Equilibrium Models
681
14.5.4
References for Section
14.5 682
14.6
Additional Resources for Input-Output Extensions and
Applications
683
14.6.1
Edited Collections
684
14.6.2
Journal Special Issues
685
14.6.3
Collections of Reprints
686
14.6.4
References for Section
14.6 686
14.7
Some Concluding Reflections
686
xx Contents
Appendix
A
Matrix Algebra
for Input-Output
Models 688
A.I Introduction
688
A.2 Matrix
Operations:
Addition
and Subtraction
689
A.2.1 Addition
689
A.2.2 Subtraction
689
A.2.3 Equality
689
A.2.4 The Null Matrix
689
A.3 Matrix Operations: Multiplication
689
A.3.
1
Multiplication of a Matrix by a Number
689
A.3.2 Multiplication of a Matrix by Another Matrix
689
A.3.3 The Identity Matrix
690
A.4 Matrix Operations: Transposition
691
A.5 Representation of Linear Equation Systems
691
A.6 Matrix Operations: Division
693
A.
7
Diagonal Matrices
696
A.8 Summation Vectors
698
A.9 Matrix Inequalities
698
A.
10
Partitioned Matrices
699
A.
10.1
Multiplying Partitioned Matrices
699
A.
10.2
The Inverse of a Partitioned Matrix
700
References
701
Appendix
В
Reference Input-Output Tables for the United States
(1919-2006) 702
B.I Introduction
702
B.2 Transactions Accounts
703
В
.3
Matrices of Technical Coefficients and Total Requirements
715
References for US Input-Output Tables
(1919-2006) 722
Appendix
С
Historical Notes on the Development of
Leontief
s
Input-Output Analysis
724
C.
1
Conceptual Foundations
724
C.2 Quesnay and the Physiocrats
725
C.3 Mathematical Formalization
728
C.4
Leontief
and the Economy as a Circular Flow
729
C.5 Development of Input-Output Analysis
731
References
735
Contents xxi
Author
Index 738
Subject
Index 746
The Following Supplementary Appendices are Available Online at
www.cambridge.org/millerandblair
Web Appendix 5W.
1
Left and Right Inverses in
Nonsquare
Input-Output
Systems
A5 W.
1.1
Introduction
A5 W.
1.2
More Commodities than Industries (m
>
ή)
Numerical Illustration
Commodity Technology
Industry Technology
A5W.
1.3
Fewer Commodities than Industries (m
<
ri)
Numerical Illustration
Commodity Technology
Industry Technology
Web Appendix 8W.
1
Detailed Results for the Numerical Illustration in
Section
8.4
Web Appendix
1
2W.
1
Hypothetical Extractions with Partitioned Matrices
A
1
2W.
1.1
Case
1 :
Complete Extraction of Sector
1
A
1
2W.
1.2
Case
2:
Extraction of Sector
1
s Intersectoral Relations
A
1
2W.
1.3
Case
3:
Extraction of Sector
1
s Intermediate Purchases
A
1
2W.
1.4
Case
4:
Extraction of Sector
1
s Intermediate Sales
A
1
2W.
1.5
Case
5:
Extraction of Sector
1
s Intersectoral Intermediate
Purchases
A
1
2W.
1.6
Case
6:
Extraction of Sector
1
s Intersectoral Intermediate
Sales
A
1
2W.
1.7
The Ghosh Model and Some Comparisons
Web Appendix 12W.2 Brief History of
Leontief
Inverses with Errors in the
Coefficients of A
A
1
2W.2.
1
Mathematical Background
A
1
2W.2.2 Application of
Leontief
Inverses
Dwyer and Waugh
(1953)
Evans
(1954)
West
(1982)
Sherman-Morrison and Sonis-Hewings
|
| any_adam_object | 1 |
| author | Miller, Ronald E. 1933- Blair, Peter D. 1951- |
| author_GND | (DE-588)122360052 (DE-588)170093239 |
| author_facet | Miller, Ronald E. 1933- Blair, Peter D. 1951- |
| author_role | aut aut |
| author_sort | Miller, Ronald E. 1933- |
| author_variant | r e m re rem p d b pd pdb |
| building | Verbundindex |
| bvnumber | BV035894680 |
| callnumber-first | H - Social Science |
| callnumber-label | HB142 |
| callnumber-raw | HB142 |
| callnumber-search | HB142 |
| callnumber-sort | HB 3142 |
| callnumber-subject | HB - Economic Theory and Demography |
| classification_rvk | QC 141 QI 300 |
| ctrlnum | (OCoLC)699650283 (DE-599)GBV593090306 |
| dewey-full | 339.2/3 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 339 - Macroeconomics and related topics |
| dewey-raw | 339.2/3 |
| dewey-search | 339.2/3 |
| dewey-sort | 3339.2 13 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02139nam a2200469 c 4500</leader><controlfield tag="001">BV035894680</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220321 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">091217s2009 xxkd||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2009008470</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521739023</subfield><subfield code="c">pbk</subfield><subfield code="9">978-0-521-73902-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521517133</subfield><subfield code="c">hbk</subfield><subfield code="9">978-0-521-51713-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)699650283</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV593090306</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxk</subfield><subfield code="c">XA-GB</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-Re13</subfield><subfield code="a">DE-29</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">HB142</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">339.2/3</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QC 141</subfield><subfield code="0">(DE-625)141255:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QI 300</subfield><subfield code="0">(DE-625)141621:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Miller, Ronald E.</subfield><subfield code="d">1933-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122360052</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Input-output analysis</subfield><subfield code="b">foundations and extensions</subfield><subfield code="c">Ronald E. Miller and Peter D. Blair</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXXII, 750 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literturangaben, Personen- u. Sachindex. - Hier auch später erschienene, unveränderte Nachdrucke. - 1. ed. publ. by Prentice Hall, 1985</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Input-output analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Input-Output-Analyse</subfield><subfield code="0">(DE-588)4027105-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Input-Output-Analyse</subfield><subfield code="0">(DE-588)4027105-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Blair, Peter D.</subfield><subfield code="d">1951-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)170093239</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-0-511-62698-2</subfield><subfield code="w">(DE-604)BV043923699</subfield></datafield><datafield tag="787" ind1="0" ind2="8"><subfield code="i">Überarbeitung von</subfield><subfield code="d">Englewood Cliffs, NJ : Prentice-Hall, 1985</subfield><subfield code="z">0-13-466715-8</subfield><subfield code="w">(DE-604)BV005277018</subfield></datafield><datafield tag="787" ind1="0" ind2="8"><subfield code="i">Überarbeitet als</subfield><subfield code="b">3. edition</subfield><subfield code="d">Cambridge : Cambridge University Press, 2022</subfield><subfield code="z">978-1-108-72353-4</subfield><subfield code="z">978-1-108-48476-3</subfield><subfield code="w">(DE-604)BV047843329</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018752124&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018752124</subfield></datafield></record></collection> |
| id | DE-604.BV035894680 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:52Z |
| institution | BVB |
| isbn | 9780521739023 9780521517133 |
| language | English |
| lccn | 2009008470 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018752124 |
| oclc_num | 699650283 |
| open_access_boolean | |
| owner | DE-703 DE-11 DE-83 DE-473 DE-BY-UBG DE-188 DE-Re13 DE-BY-UBR DE-29 |
| owner_facet | DE-703 DE-11 DE-83 DE-473 DE-BY-UBG DE-188 DE-Re13 DE-BY-UBR DE-29 |
| physical | XXXII, 750 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Miller, Ronald E. 1933- Verfasser (DE-588)122360052 aut Input-output analysis foundations and extensions Ronald E. Miller and Peter D. Blair 2. ed. Cambridge [u.a.] Cambridge Univ. Press 2009 XXXII, 750 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literturangaben, Personen- u. Sachindex. - Hier auch später erschienene, unveränderte Nachdrucke. - 1. ed. publ. by Prentice Hall, 1985 Input-output analysis Input-Output-Analyse (DE-588)4027105-5 gnd rswk-swf Input-Output-Analyse (DE-588)4027105-5 s DE-604 Blair, Peter D. 1951- Verfasser (DE-588)170093239 aut Erscheint auch als Online-Ausgabe 978-0-511-62698-2 (DE-604)BV043923699 Überarbeitung von Englewood Cliffs, NJ : Prentice-Hall, 1985 0-13-466715-8 (DE-604)BV005277018 Überarbeitet als 3. edition Cambridge : Cambridge University Press, 2022 978-1-108-72353-4 978-1-108-48476-3 (DE-604)BV047843329 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018752124&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Miller, Ronald E. 1933- Blair, Peter D. 1951- Input-output analysis foundations and extensions Input-output analysis Input-Output-Analyse (DE-588)4027105-5 gnd |
| subject_GND | (DE-588)4027105-5 |
| title | Input-output analysis foundations and extensions |
| title_auth | Input-output analysis foundations and extensions |
| title_exact_search | Input-output analysis foundations and extensions |
| title_full | Input-output analysis foundations and extensions Ronald E. Miller and Peter D. Blair |
| title_fullStr | Input-output analysis foundations and extensions Ronald E. Miller and Peter D. Blair |
| title_full_unstemmed | Input-output analysis foundations and extensions Ronald E. Miller and Peter D. Blair |
| title_short | Input-output analysis |
| title_sort | input output analysis foundations and extensions |
| title_sub | foundations and extensions |
| topic | Input-output analysis Input-Output-Analyse (DE-588)4027105-5 gnd |
| topic_facet | Input-output analysis Input-Output-Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018752124&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT millerronalde inputoutputanalysisfoundationsandextensions AT blairpeterd inputoutputanalysisfoundationsandextensions |