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Input – Output Analysis MK Geografi Ekonomi Dept. Geografi FMIPA UI Next ………… A simple model of trade Exports Internal Goods and Services Imports The Economic Base Model ET = Total Employment EX = Export Employment EL = Local Employment ET = EX + EL (1) Define a = EL/ET Multiply by ET and substitute into (1): ET = EX + aET Solve for ET: ET = ( 1/1-a)EX Example, Economic Base Model If a = .67 Then:( 1/1-.67) =( 1/.33) = 3 If EX = 500, then ET = 3 x 500 or 1500. If EX rises to 750, ET becomes 3 x 750 or 2250 and if EX falls back to 400, ET declines to 1200 Measurement of the Economic Base Multiplier Direct Surveys “Short-cut” Approaches: Assumption or Assignment Minimum Requirements Location Quotients Industry Specific Models: Input-output Regional econometric Example of Minimum Requirements Minimum Requirements Manufacturing 0.12 0.1 0.08 0.06 0.04 0.02 0 mfg85 mfg95 10 100 1000 Total Employment (Thousands) If total employment was 100,000, then minimum requirements is 6%, or 6,000. If actual employment were 10,000, 4,000 would be assigned to exports. Repeat for all industries, sum local shares to obtain “a” Example of Location Quotient Approach to Economic Base Industry Jobs Agriculture 500 Mining 300 Manufacturing1000 Retail 1500 Services 3000 Total 6300 LQ 0.8 5.0 2.0 1.0 1.2 Export 0 240 500 0 500 Local 500 60 500 1500 2500 1240 5060 a = 5060/6300 = .803, so (1/1-.803) = 5.08 Size of Region and Size of Multiplier 1.0 .67 Wn.State Mult. = 3 World - Mult = Individual Log Population Sells all labor a = 0, multiplier = 1.0 Regional Input-Output Models Final Demand Industry 1 Industry 2 Consumption Investment Govt. Exports Total Sales Industry 1 Industry 2 Labor Income Other Value Added Imports Total Purchases Total Sales = Total Purchases Total Sales = Intermediate Sales + Final Sales Total Purchases = Intermediate Purchases + Value Added + Imports Washington State Input-Output Model Handouts: Transactions Table Direct Requirements Matrix Direct & Indirect Requirements Matrix Direct, Indirect, & Induced Requirements Matrix Input-Output Notation = Direct, Indirect & Induced Requirements Matrix X Final Demand Output Impact Analysis Using I/O Models Employment Impacts calculated from Output Impacts Impact Analysis with I/O Models Key Inputs: Final Demand values for output, income, and jobs Key modeling requirements: I/o model relevant to the problem Results: usually reported for jobs, income, output, and taxes Direct & Indirect Output Multipliers 1 Natural Resources Food Products Forest Products Machinery Aerospace Other Mfg Construction T.C.U. Trade Services 1.2 1.4 1.6 1.8 2 Direct & Indirect Labor Income Per Dollar of Final Demand 0 Natural Resources Food Products Forest Products Machinery Aerospace Other Mfg Construction T.C.U. Trade Services 0.1 0.2 0.3 0.4 0.5 0.6 Direct & Indirect Jobs Per $ Million Final Demand 0 Natural Resources Food Products Forest Products Machinery Aerospace Other Mfg Construction T.C.U. Trade Services 5 10 15 20 25 Output Multipliers 1.00 1.50 2.00 2.50 3.00 Natural Resources Food Products Forest Products Machinery Direct & Indirect Aerospace Other Mfg Construction T.C.U. Trade Services Direct, Indirect & Induced Labor Income Multipliers 0 0.2 0.4 0.6 0.8 1 Natural Resources Food Products Forest Products Machinery Direct & Indirect Aerospace Other Mfg Direct, Indirect, & Induced Construction T.C.U. Trade Services Labor Income Per $ Final Demand Employment Multipliers 0 5 10 15 20 25 30 Natural Resources Food Products Forest Products Machinery Aerospace Other Mfg Construction T.C.U. Trade Services Direct & Indirect Direct, Indirect & Induced Regional Models, continued • Regional Econometric Models • Interregional Input-output models • Structural Change Regional Econometric Models The Washington Projection & Simulation Model Coefficient Change Imports Output (I/O Relations) Income Employment and Population Consumption Exports National Econometric Model State & Local Government Investment Productivity Rates Wage rates, tax rates, nonearnings income WPSM Simulation of Change in Aerospace Exports Aerospace Exports 160 140 Value-added 120 Consumption 100 80 State & Local Expenditures 60 Fixed Investment 40 Disposable Income 20 0 1975 Persons Employed (hundreds) 1980 1985 Population (hundreds) Multiregional Models Region B Region A Region D Region C Multiregional Input-Output Model (intermediate & final transactions including interregional value added payments) AA BA CA DA AB BB CB DB Feedback Loops AC BC CC DC AD BD CD DD Simulation of Columbia Basin Irrigation Project Development United States (AK & HI Inset) Project Region Other Washington Jobs Estimate of Employment Impacts from Multiregional Model 4000 3500 3000 2500 2000 1500 1000 500 0 Local Agriculture Local Food Products Other Local Jobs Project Construction Other Washington Jobs 0 10 Project Year 20 Gross Output Levels Required to Deliver 1961 Final Demand General 37.6% Industries 39.8% Materials 18.5% Metalworking & Chemicals 13.6% 17.0% All Other 30.3% Total Gross Output 14.5% 40.8% 14.7% 16.0% 28.8% 28.5% 677 1939 689 1947 686 1961 Employment Required to Deliver 1961 Final Demand with earlier Technologies 100% 101 86 58 80% Millions of man-years All Other Chemicals 60% Metalworking 40% Materials 20% General Industries 0% 1939 1947 1961 Source: A. Carter, Structural Change in the American Economy Capital Stock Required to Deliver 1961 Final Demand $ 1961 F.D. 100% 662 617 523 All Other 80% Chemicals 60% Metalworking 40% Materials 20% General Industries 0% 1939 1947 1958 U.S. Structural Change Output, GNP, Intermediate Production Gross National 51.2% Product Intermediate Sales 48.8% Total Gross Output 270 1939 50.7% 51.2% 49.3% 48.8% 435 1947 688 1961 Input-Output Model Basics Disadur dari bahan kuliah: Tom Harris University of Nevada, Reno University Center for Economic Development MS 204 Reno, NV 89557-0105 and Gerald A. Doeksen Oklahoma State University Oklahoma Cooperative Extension Service 515 Ag Hall Stillwater, OK 74078 Examples of Interrelationships Between Sectors: • • • • Sectors purchase from other sectors Sectors sell to other sectors Sectors sell outside the local economy Sectors buy outside the local economy Inputs $ Overview of Community Economic System $ Products Basic Industry Labor $ $ Inputs Goods & Services Households $ $ Services $ Input-Output analysis creates a picture of a regional economy describing flows to and from industries and institutions What Input-Output Analysis Can Do: • Input-Output Analysis is an accounting framework • Input-Output analysis can be used to predict changes in overall economic activity as a result of some change in the local economy Uses of Input-Output Analysis • Provides a description of a local economy • Predictive model to estimate impacts 3 Basic Components of Input-Output Models • Transactions Table • Direct Requirements Table • Total Requirements Table Transactions Table • A transactions table shows the monetary flows of goods and services in a local economy • Represents monetary flows for a given time period, usually one year Transactions Table Flows • Total outlays = Total output • Intermediate purchases are goods and services purchased and used in the local production process • Final demands are purchases for final consumption • Final payments are payments for factors or inputs outside intermediate production process Example Transactions Table Purchasing Sectors ($ million) Agriculture Health Selling Sectors ($ million) Agriculture Services Final Total Demands Output 10 6 2 18 36 Health 4 4 3 26 37 Services 6 2 1 35 44 Final Payments 16 25 38 0 79 Total Input 36 37 44 79 196 Predictive Use of Input-Output Analysis • Impacts are tracked throughout the economy • The multipliers are derived from regional economic accounts • Only local transactions are used to create the multiplier effect Direct Requirements Table • Direct requirements are the purchases of resources (inputs) by a sector from all sectors to produce one dollar of output • Creates a production recipe Direct Requirements Table Purchasing Sectors Selling Sectors Agriculture Health Services Agriculture 0.278 0.162 0.045 Health 0.111 0.108 0.068 Services 0.167 0.054 0.023 Final Payments 0.444 0.676 0.864 Total 1.000 1.000 1.000 What are Multipliers? Multipliers measure total change throughout the economy from one unit change for a given sector. Three Types of Multipliers are calculated from Model 1. Output 2. Employment 3. Income Three levels of Multipliers Type I Multipliers Type II Multipliers Type III Multipliers Type I Multipliers • Include direct or initial spending • Include indirect spending or businesses buying and selling to each other • The multiplier is direct plus indirect effect divided by direct effect Type II Multipliers • Includes Type I Multiplier effects • Plus household spending based on the income earned from the direct and indirect effects – the induced effects TYPE III MULTIPLIERS • Type III Multipliers are modified Type II multipliers. • Therefore, Type III Multipliers also include the direct, indirect, and induced effects. • Type III Multipliers adjust Type II Multipliers based on spending patterns amongst different income groups. Type I Multipliers include: Direct Indirect (Business Spending) Type I Multipliers are derived from the Total Requirements Table In math, this is: X = (1-A)-1 Y Total Requirements Table Purchasing Sectors ($ million) Agriculture Health Services Selling Sectors ($ million) Agriculture 1.446 0.268 0.085 Health 0.199 1.163 0.090 Services 0.258 0.110 1.043 Total 1.903 1.541 1.218 Explaining the Health Sector Type I Multiplier • For a $1.00 change in final demand sales in the local economy, the total direct and indirect impacts are $1.541 Type II Multipliers include: Direct Indirect (Businesses) Induced (Households) Type II Multipliers are derived from the Total Requirements Table with Households Transactions Table with Households Purchasing Sectors ($ million) Selling Sectors ($ million) Ag Health 10 6 2 2 16 36 Health 4 4 3 10 16 37 Services 6 2 1 7 28 44 Households 3 6 10 0 0 19 Final Payments 13 19 28 0 0 60 Total Input 36 37 44 19 60 196 Ag Services Households Final Total Demands Output Total Requirements Table with Households Purchasing Sectors Selling Sectors Agriculture Health Services Households Agriculture 1.536 0.369 0.197 0.429 Health 0.386 1.370 0.318 0.879 Services 0.388 0.256 1.203 0.619 Households 0.279 0.311 0.341 1.319 Total 2.589 2.307 2.059 3.245 Explaining the Health Sector Type II Multiplier For a $1.00 change in final demand sales in the local economy, the total direct, indirect and induced impacts are $2.307 Multipliers • Direct requirements represent direct or initial spending • Direct and indirect effects include the direct spending plus the indirect spending or businesses buying and selling to each other • Direct, indirect and induced effects include direct and indirect plus household spending earned from direct and indirect effects Other Multipliers • Employment Multipliers Type I Type II Type III • Income Multipliers Type I Type II Type III Example Type I Employment Multiplier • Agricultural Sector Type I Employment Multiplier = 1.43 When the Agricultural Sector realizes a 1 employee change, total employment in the study area changes by 1.43 jobs from direct and indirect linkages Example – Type II Employment Multiplier • Agricultural Sector Type II Employment Multiplier = 2.25 When the Agricultural Sector realizes a 1 employee change, total employment in the study area changes by 2.25 jobs from direct, indirect and induced linkages Breakdown of Type II Employment Multiplier Agricultural Sector Direct Effects Indirect Effects Induced Effects Total = = = 1.00 0.43 0.82 = 2.25 Example – Type I Income Multiplier • Agricultural Sector Type I Income Multiplier = 1.96 When the Agricultural Sector realizes a $1.00 change in income, total income in the study area changes by $1.96 from direct and indirect linkages Example Type II Income Multiplier • Agricultural Sector Type II Income Multiplier = 2.50 When the Agricultural Sector realizes a $1.00 change in income, total income in the study area changes by $2.50 from direct, indirect and induced linkages Breakdown of Type II Income Multiplier Agricultural Sector Direct Effects = Indirect Effects = Induced Effects = $1.00 $0.96 $0.54 Total $2.50 = Caution When Using Multipliers • Multiplier values include direct effects • Do not aggregate sector multipliers to derive an aggregate multiplier • Be cautious of large multipliers • Be cautious in using a multiplier from another study area Procedures Used For This Analysis • IMPLAN (IMPact analysis for PLANning) * * * Geographical database Software and data for model construction and impact analysis History of IMPLAN IMPLAN USE FOR HEALTH SECTOR ANALYSIS • Develop county-wide input-output model • From State Employment Security Offices derived health sector employment • Use IMPLAN to derive county-wide output, employment, income and sales tax impacts from the local health sector Database of IMPLAN • • • • 528 Industrial Sectors Most 3 or 4 digit SIC All standard counties in the U.S. Now available at zip code level Any Questions? Econ Base vs Input-Output Models • Leontief developed an “input-output” method for estimating economic impacts and tracing the flows of dollars. Leontief later won the Nobel Prize in 1973, largely related to this work. • Input-Output expands heavily upon the economic base model of the economy. 1) 2) 3) 4) Economic Base Techniques Basic and Non-basic sectors Ripple (multiplier) effects analyzed at the B/NB level Analyzes changes and impacts at a gross B/NB level Very general, but… 1) 2) 3) 4) Input-Output Analysis Many different industries/sectors Ripple (multiplier) effects contained in the interindustry transactions Analyzes changes and impacts at a sector by sector level, tracing flows of dollars between industries Much more precise, but… The Economic Base Theoretical Model • The EB model assumes that the basic sector is the primary cause of local economic growth; that is, it is the economic base of the local economy. Non-Local $$$’s Basic Sector Employment Local $$$’s Non-Basic Sector Employment The Local Economy Input-Output Model • The IO model is centered on the idea of inter-industry transactions: – Industries use the products of other industries to produce their own products. – For example - automobile producers use steel, glass, rubber, and plastic products to produce automobiles. – Outputs from one industry become inputs to another. – When you buy aTaken car, you affect the demand for from a Power Point presentation prepared by Pam Perlich at the University of Utah. glass, plastic, steel, etc. http://www.business.utah.edu/~bebrpsp/IO/IO.ppt Basic Input-Output Logic Steel Glass Tires Plastic Automobile Factory Other Components From the Tire Producer’s Perspective Individual Consumers School Districts Tire Factory FINAL DEMAND FOR TIRES Trucking Companies Automobile Factory INTERMEDIATE DEMAND FOR TIRES Input-Output Analysis: The BIG Point • The implicit assumption in economic base techniques is that each basic sector job has a multiplier (or ripple) effect on the wider economy because of purchases of non-basic goods and services to support the basic production activity. (the Basic Sector drives the Non-basic Sector) • However, we know that Non-basic sector businesses purchase Nonbasic goods and services and Basic sector businesses purchase Basic sector goods and services. There are inter-industry linkages not contained within the Economic Base model. The economy is much more complex than the economic base techniques allow or attempt to model. • The central advantage of Input-Output analysis is that it tries to estimate these inter-industry transactions and use those figures to estimate the economic impacts of any changes to the economy. • Instead of assuming a change in a basic sector industry having a generalized multiplier effect, the IO approach estimates how many goods and services from other sectors are needed (inputs) to produce each dollar of output for the sector in question. Therefore it is possible to do a much more precise calculation of the economic IO Conceptualization of the Economy • The major conceptual step is to divide the economy into “purchasers” and “suppliers”. --Primary Suppliers: They sell primary inputs (labor, raw materials) to other industries. Payments to these suppliers are “primary inputs” because they generate no further sales. (example: Households) --Intermediate Suppliers: They purchase inputs for processing into outputs they supply to other firms or to final purchasers. (example: Automaker) --Intermediate Purchasers: They purchase outputs of suppliers for use as inputs for further processing. (example: Automaker) --Final Purchasers: Purchase the outputs of suppliers in their final form and for final use. (example: Households) • Intermediate Suppliers and Intermediate Purchasers are the same thing! • Primary Suppliers and Final Purchasers may or may not be the same entities. When they are the same (households), these Simplified Circular Flow View of The Economy $$ Consumption Spending (Yi) Goods & Services Households Businesses Businesses Labor $$ Wages & Salaries Households buy the output of business: final demand or Yi Households sell labor & other inputs to business as inputs to production Taken from a Power Point presentation prepared by Pam Perlich at the University of Utah. http://www.business.utah.edu/~bebrpsp/IO/IO.ppt Businesses purchase from other businesses to produce their own goods / services. This is intermediate demand or xij (output of industry i sold to industry j) The Structure of IO Analysis • The ultimate goal of the Input-Output Analysis technique is to generate a Total Requirements Table that shows the flows of dollars between industries in the production of output for a given sector. • To arrive at this final result, IO Analysis requires two earlier steps: 1) Transactions table: Contains basic data on the flows of goods and services among suppliers and purchasers during a study year. 2) Direct requirements table: Derived from the transactions table, this shows the inputs required directly from different suppliers by each intermediate purchaser for each unit of output that purchaser produces. • “Input output analysis can be thought of as documenting and exploring the precise systems of interindustry exchange through which different components of regional product become different components of regional income.” (Bendavid- The Transaction Table and Direct Reqs Tables The Transactions Table (in thousands of units) Intermediate Purchasers --Agriculture --Manufacturing Intermediate Suppliers --Agriculture --Manufacturing Primary Suppliers --Households Total Purchases (inputs) Final Purchasers --Households Total Sales (outputs) 10 5 30 10 60 35 100 50 85 10 15 110 100 50 110 260 Direct Requirements Table (in thousands of units) Purchasers --Agriculture --Manufacturing Intermediate Suppliers --Agriculture --Manufacturing Primary Suppliers --Households Total Purchases (inputs) 0.10 0.05 0.60 0.20 0.85 0.20 1.00 1.00 Every unit of output requires inputs of a certain amount from other areas of the economy. The First Round of Economic Impacts Direct Requirements Table (in thousands of units) Intermediate Purchasers --Agriculture --Manu Intermediate Suppliers --Agriculture 0.10 0.60 --Manufacturing 0.05 0.20 Primary Suppliers --Households 0.85 0.20 Total Purchases (inputs) 1.00 1.00 Total Requirements Calculation (First Round) (in thousands of units) Sales to Sales as Direct Inputs Final Purch. To Agr To Manu Total By Agriculture 200 20 60 80 By Manufacturing 100 10 20 30 By Households 0 170 20 190 Total indirect rounds By All Supliers 300 300 To Rd. 2 The Second-Fourth Rounds of Econ. Impacts Total Requirements Calculation (Second Round) (in thousands of units) By Agriculture By Manufacturing By Households Total indirect rounds Sales to Sales as Direct Inputs Final Purch. To Agr To Manu Total 80 8.0 18.0 26.0 30 4.0 6.0 10.0 0 68.0 6.0 74.0 110.0 Total Requirements Calculation (Third Round) (in thousands of units) Sales to Sales as Direct Inputs Final Purch. To Agr To Manu Total By Agriculture 26 2.6 6.0 8.6 By Manufacturing 10 1.3 2.0 3.3 By Households 0 22.1 2.0 24.1 Total indirect rounds 36.0 Total Requirements Calculation (Fourth Round) (in thousands of units) Sales to Sales as Direct Inputs Final Purch. To Agr To Manu Total By Agriculture 8.6 0.9 2.0 2.8 By Manufacturing 3.3 0.4 0.7 1.1 By Households 0 7.3 0.7 8.0 Total indirect rounds 11.9 and so on until the mult. effect ends The Total Requirements Results Total Direct and Indirect Requirements Calculation (in thousands of units) Sales to Final Total Total Purchasers Direct Sales Indirect Sales Agriculture 200.0 80.0 38.7 Manufacturing 100.0 30.0 14.9 Households -190.0 109.6 Total 300.0 300.0 163.1 Total Sales 318.7 144.9 299.6 763.1 When: 1) there are “Final Sales” of Agriculture = 200 and “Final Sales” of Manufacturing = 100 2) we see a Total Economic Impact = 763.1, with that impact broken down as: 1) 300.0 in Initial Sales to Final Purchasers 2) 300.0 in Total Direct Sales 3) 163.1 in Total Indirect Sales The 300 units in Final Sales generate an additional 463.1 units of economic activity. This illustrates the multiplier effect captured by IO models. The Total Requirements Table Total Requirements Table Requires Total Sales by Agriculture Manufacturing Households Total Every Unit in Final Demand of… Agriculture Manufacturing 1.15 0.86 0.07 1.29 1.00 1.00 2.22 3.15 For Agriculture 1.00 Sales to Final Purchasers 1.00 Sales by Primary Suppliers 0.22 Interindustry transactions Similar to our Base Multiplier in Econ Base Theory A 1.0 unit increase in demand for agriculture leads to a total of 2.22 of sales. For Manufacturing 1.00 Sales to Final Purchasers 1.00 Sales by Primary Suppliers 1.15 Interindustry transactions Similar to our Base Multiplier in Econ Base Theory A 1.0 unit increase in demand for manufacturing leads to a total of 3.15 of sales. RIMS Multipliers • The Bureau of Economic Analysis (BEA) produces State Level Regional Input-Output Multipliers by industrial sector which are often used as the basis for constructing an IO model. • Originally developed in the 1970s, RIMS (Regional Industrial Multiplier System) multipliers are used for “impact analysis” for a given economy. • RIMS II data were developed in the 1980’s (latest version is 1998) • Users can purchase data from BEA for $275 per region. BEA provides handbooks for the use of this data. • County or multi-county regional RIMS data come in two series Series I: for 490 detailed industries Series II: for 38 industry aggregations • Empirical analysis shows that RIMS II data is accurate within 5% of locally developed industry multipliers. • Advantages of the RIMS Multipliers: 1) Cheap 2) Can be compared across regions 3) Detailed industries 4) Updated regularly to reflect new data Example RIMS Multipliers 1Total dollar impact due to $1 in output in the industry. 2Change in earnings due to $1 change in industry. 3Change in employment resulting from $1 million increase in output delivered to final demand. For More Info on RIMS Multipliers • The Bureau of Economic Analysis (BEA) has several web resources on RIMS Multipliers and how they are prepared: RIMSII Home Page http://www.bea.doc.gov/bea/regional/rims/ Brief Description of RIMS II http://www.bea.doc.gov/bea/regional/rims/brfdesc.cfm RIMSII User’s Handbook http://www.bea.doc.gov/bea/ARTICLES/REGIONAL/PERSI NC/Meth/rims2.pdf The Problems with IO Analysis Practical Issues • Data needs and complexity: IO models are tremendously complex and very data hungry. This typically places these models in the hands of experts. Theoretical Issues • Time/Data issues: Usually a single year’s data are used to develop the Total Requirements Table. But 1) purchases may actually reflect a longer term investment and 2) short term trends may impact the data. • Stability of the technical coefficients over time: Technology changes, prices change, and demand changes, all affecting the coefficients in the Tot Reqs Table. This can impact the results if the coefficients are “out of date”. • IO assumes a linear relationship between increasing demand for inputs and outputs: This assumes away 1) externalities and 2) increasing/ decreasing returns to scale. • Industrial categorization: IO models still assume that each industry 1) has a single, homogeneous production function and 2) each produces one product. These assumptions do not reflect the real The Power of IO Models • Despite these problems IO analysis is a tremendously popular and powerful analytical tool. • “The chief value of regional input-output analysis is in its descriptive analytical power.” (Bendavid-Val, p.113) • “As a descriptive tool, input-output tables: -present an enormous quantity of information in a concise, orderly, and easily understood fashion; -provide a comprehensive picture of the interindustry structure of the regional economy; -point up the strategic importance of various industries and sectors; -highlight possible opportunities for strengthening regional income and employment multiplication.” (Bendavid-Val, p.113) • Urban Planners should be capable of understanding the structure, assumptions, and data requirements of Input-Output Analysis. While you may not be performing this analysis in your jobs, you almost certainly will come across this type of work sometime in your career.