1. I/O Framework Workshop Industry Accounts Division Statistics Canada Fabienne Leclerc & Ronald Rioux U of Ottawa June 20, 2008 Industry Accounts Division

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5. 5 Mandate of the division The mandate of the Industry Accounts Division (IAD) is to develop provincial annual and monthly national production accounts for Canada. Annual input-output tables for Canada in current and constant prices serve as the foundation for national monthly measures of constant price GDP by industry, while the inter-provincial input output tables perform this function for the annual current and constant price measures of GDP by industry for the provinces and territories In addition, the IAD supplies benchmark data for other modules of the Canadian System of National Accounts by way of annual national Input-Output (I/O) tables in current and constant prices, annual provincial Input-Output tables as well as interprovincial trade flows in current prices, supplementary tables on GDP by industry, taxes and other margins by commodity and industry.

6. 6 The information provided by IAD is critical to the ability of governments and the private sector to make well informed economic decisions. Because the monthly GDP program provides the most timely measure of the status of the Canadian economy, it is a key indicator used by the Bank of Canada in setting monetary policy. Like the Bank of Canada, the Department of Finance also monitors the evolution of the economy, in its case to plan the federal budget and formulate macroeconomic policies.

7. 7 This information is used by provincial and territorial governments (for example, by their finance and industry ministries) in tracking industrial sources of economic growth or contraction, and in their budgetary planning. The statistics allow them to assess the impact of economic events, and of their economic development programs on particular sectors of their economies.

8. 8 The I-O tables are also used by fiscal authorities to allocate and forecast commodity taxes by way of taxable proportions of personal expenditures, by province and by category, for HST revenue allocation (these are necessary for estimation of HST applicable level of spending for personal expenditures); by way of levels of taxable expenditure subject to HST for industries engaged in the production of tax-exempt supplies by province; by way of national estimates of trade, transport and tax margins (13 types in 1996) by commodity and type of user

9. 9 The I-O table production process also serves to perform a measure of quality assurance audit to statistics provided by data supplying Divisions as well as providing regular feedback to these Divisions. This role is made possible through the integration of numerous data sources used in the construction of the Input-Output tables. The IAD also provides services on a cost-recovery basis to clients in government, business and academic communities, through direct sales of customized data bases and by performing economic impact simulations with internally developed input-output models on specifications provided by the client. The bulk of the data needed to calculate aggregate productivity measures and other performance indicators also comes from the I-O tables.

10. 10 Input-Output Production Schedule National tables are produced June each year with a 30 month lag from the reference year Provincial tables are produced and released together with the national tables in November of each year with a 34 month lag from the reference year

11. Relationship between the I/O Framework and the SNA National Input-Output Tables Satellite Accounts Income and Expenditure Accounts Productivity Estimates National GDP by industry Balance of Payments Accounts Environmental and resource accounts Provincial Economic Accounts Provincial Input-Output Accounts Provincial GDP by Industry Accounts Interprovincial Trade Flow Accounts

12. 12 BASIC STRUCTURE OF CANADIAN INPUT-OUTPUT TABLES Rectangular Input-Output Tables developed at Statistics Canada Inputs and Outputs of industries are presented in separate rectangular tables, showing Industry by commodity detail, (number of commodities exceed number of industries) Input-Output tables consist of 4 matrices 1. Make Matrix (Outputs) 303 industries 727 commodities 2. Use Matrix (Inputs) 303 industries 727 commodities 3. Final Demand Matrix 172 categories 727 commodities 4. Trade flows 727 commodities

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14. 14 Industry Dimension 3I/O Industry structure is NAICS-based -6-digit NAICS Industries (over 900) linked to I/O Industry (303) -I/O Industries are on establishment concept -Universe is based mainly on the Statistics Canada Business Register -(BR is generally used as a survey frame by survey divisions) -I/O Industry includes Input costs and Output values (similar to profit and loss statements of businesses; outputs akin to revenues, inputs akin to expenses incurred to generate revenues) -Data sources include Surveys, Administrative data, annual reports, etc.

15. 15 I/O Industries (con’d) All Survey and admin data can be linked to NAICS which in turn is linkable to I/O Industries There are issues related to consistent Industry linking (company vs establishment vs enterprise) which causes data confrontation issues I/O analysts review survey methodologies and results focussing on such things as universe, coverage, response rates, imputations, edits; production may be under/over reported, imports and exports may be improperly valued, commodities may be misclassified. Time-series require significant interaction and feedback to survey division Survey results are compared to other data where available such as: administrative data for wages (T4), GIFI (General Index of Financial Information), (corporate income tax file from CRA), Net income (T1)

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18. 18 Commodity Dimension  Industries produce and sell commodities which are either goods or services.  Input-Output goods commodities are concorded to the International Harmonized System (HS) standard classification of goods (SCG).  Input-Output service commodities are specified by type and will be concorded to the international Central Product Classification (CPC) (yr. 2007).

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21. 21 Detail of the 303 industries and the 172 categories of final demand 287 Industries (Business sector) 16 Industries (Non-business sector) 303 52 categories of consumer expenditures 52 categories of current investment in machinery and equipment 53 categories of current investment in construction 4 categories of changes in inventories 1 category of domestic exports 1 category of re-exports 1 category of imports 6 categories of Federal, Provincial and Municipal expenses 1 category of interprovincial imports 1 category of interprovincial exports 172

22. 22 DIMENSIONS AND CONFIDENTIALITY CONSTRAINTS NAICS’s based Classifications: “W”“L”“M”“S” Industries 303 117 62 25 Commodities 727 476 111 59 Final Demand Categories 172 120 39 16 Interprovincial I-O table adds final demand categories for Exports and Imports with each province/territory National I-O tables are published at “S” level. The “S”, “M” and “L” levels are available on CANSIM. Interprovincial I-O tables are only publicly available at “S” level Confidentiality constraints make it difficult to release provincial data at more disaggregated levels Simulation model services are available using “W” level detail

23. 23 BASIC STRUCTURE OF INPUT-OUTPUT TABLES MAKE 719 X 303 Commo dities = + USE 719 X 303 Final Demand 719 X 172 = Gross output of commodities Categories are reflected through all 13 provinces/territories + = + + = = = Industry use of primary factors 8 X 303 Final use of primary factors 8 X 172 GDP income based Gross output of industries Total use of industries GDP expenditure based = Industries Categories

24. 24 PROVINCIAL AND INTERPROVINCIAL INPUT-OUTPUT TABLES A Provincial Input-Output table looks identical to the National An Interprovincial Input-Output table accounts for economic linkages among the provinces and territories, adding 24 final demand categories for exports and imports for each province and territory

25. 25 PROVINCE/ TERRITORY EXPORTSIMPORTS Newfoundland Prince Edward Island Nova Scotia New Brunswick Québec Ontario Manitoba Saskatchewan Alberta British Columbia Yukon Territories Northwest Territories Nunavut Government Abroad IxIx P xi IMIM P Mi I x =International exports P xi =Provincial exports I m =International imports P mi =Provincial imports Categories reflect 719 commodities and indirect taxes on products by province. Interprovincial Trade Flow Matrix

26. 26 Interprovincial Trade Flows In addition to international exports and imports, we show provincial exports and provincial imports. This introduces three additional constraints. A)Across regions, total regional imports equal total regional exports, net (interregional) trade balances of regions sums to zero. B)Sum of foreign exports (foreign imports) of regions equal total national exports (imports). C)Across regions, total supply equals total disposition.

27. 27 CONVENTIONS FOR INTERPROVINCIAL FLOWS 1. Exports can originate from a region if the goods or services are produced in that region or are withdrawn form inventories of establishments in that region. A regional export also occurs when services (e.g. hotel accommodations, meals or entertainment) are purchased within a region by a non-resident while staying in that region. 2. Imports are defined for a region if the goods or services are destined for the region's current expenditure, for capital formation in the region, used as intermediate inputs by establishments in that region, or make up additions to inventories.

28. 28 I/O treatment of imports and exports Contrast this concept with imports and exports by port of lading or custom clearance. They are in many cases not consistent with true origin and destination. Since goods and services are valued at approximate basic prices, interregional imports and exports are more complex as goods imported from another region may lead to import of various margins from other regions or abroad.

29. 29 Case study: The Clothing industry The Annual Survey of Manufactures (ASM) provides 2 sets of data: -financial data -commodities data Financial data: based on Revenues and expenditures declared by locations, inventory changes and fuel consumption

30. 30 The industry dimension: NAICS 315900 Data from ASM plus head-office and other distribution Canada Cell C2054 – Total revenu manufacturing, in thousands 2001200220032004 NA13,09904,7520 SD120,548139,159125,970108,703 TAX152,637155,105170,807106,396 TOTAL286,284294,264301,529215,097

31. 31 The industry dimension-continued Commodity data: Based on the ASM List of goods, which covers 1417 distinct commodities. The ASM commodity estimates are produced at the NAICS6 and NAICS3 by province based on in-sample units (collected or imputed).

32. 32 The industry dimension-continued Although ASM publish only the portion above the Royce-Maranda threshhold, IAD receives the entire survey. IAD allocates the ASM product list commodities to IO commodities – from 1417 goods to 719. IAD built Material Inputs and Output for each industry using ASM data

33. 33 The industry dimension- continued IEAD provides information on Wages, SLI, Mixed income and Surplus, that are incorporated to the industry IO table. IAD redistribute expenses from Head Office, Software product development and Non-residential Rent to each industry Several other surveys provides IAD with data on services inputs and outputs

34. 34 The industry dimension- continued Data confrontation exercises are done during this process with other data sources, like GIFI, T4, etc. IAD try to anchor Material inputs and Total outputs for each industry to NAICS 6 per province controls from ASM

35. 35 Input-output table for 315900 IO Table Ind. Analysis Level1 Ind. Analysis Level2 2001F 2002F 2003F 2004P InputEMSEnergy2226284927703140 Materials156686160619150289116197 Services26850291203104026961 EMS Total185762192588184099146298 Net Tax 668107822552042 Net Tax Total668107822552042 GDPWages8518710371910083399459 SLI740486381008010676 Mixed Income5271498350175119 Surplus49252362753145141967 GDP Total147114153615147381157221 Input Total 333544347281333735305561 OutputEMSMaterials320223328749318596293059 Services13321185321513912502 EMS Total333544347281333735305561 Output Total 333544347281333735305561

36. 36 The commodity dimension For each of the 719 IO commodities, IAD provides a tridimensional picture: the Demand side, the supply side and Interprovincial trade flow. This picture includes international imports and exports

37. 37 Some definitions… Total Demand: Inputs + Final demand Inputs: ‘Intermediate Demand’, i.e. all industries using this commodity to produce output. Final demand: ’End users’, i.e. Personal Expenditures, M&E, changes in inventories, International Exports, Re exports

38. 38 Definitions- continued Supply: All industries producing this commodity, plus 7 margins + imports + taxes. As usual in the SNA Supply must equal demand So industries and commodities should both be balanced

39. 39 NAICS 1859-Other clothing acc. National level CategoryIo Table 2001F 2002F 2003F 2004P SupplyOutput661366647452740231629001 Margins1089916112474111423001171553 Imports1244452128011111351841279154 Supply Total2995734305230430177153079708 DemandInput469081526001533671531721 Final Demand2526653252630324840442547987 Demand Total2995734305230430177153079708 Balance0000

40. 40 IPTF for commodity 1859 “Other clothing and accessories, excluding dressed furs and fur apparel”, 2004 preliminary The IPTF (interprovincial and international trade flows) shows the origin and destination of commodity 1859 by province and; the total supply and the total demand.

41. 41 Industry Balance Account level S (year 2004) example  The total production value of any or all industries in the output table equals the sum of the intermediate inputs plus Gross Domestic Product inputs in the inputs table.  As an example, industry 5 for mining and oil and gas extraction, shows a production total value of 123,235.6 million dollars in the 2004 outputs table. The same value of total inputs of this industry of 123,235.7 million dollars is shown as the column total of the 2004 inputs table. The Gross Domestic Product inputs (at market price) shows as rows 52- 59 is 85,692.0 million (69.5 % of total) and the intermediate inputs of goods and services is 37,543.7 millions (30.5 % of total) shown as rows 1-51.

42. 42 Commodity Balance Account Level S (year 2004) example  The production of a commodity (supply) equals the sum (demand) of intermediate use (inputs table) plus final demand (final demand table)  The domestic production from Canadian industries of the row commodity 23, motor vehicle, other transportation equipment & parts is 133,522.8 millions for all industries in the outputs table.  The Inputs table shows a total use of 66,062.4 millions of this commodity plus final demand total use of 67,460.4 millions equals 133,522.8 millions

43. 43 Input-Output Identities Gross Domestic Product Market Price (2004)  Inputs table total column –sum of rows 52 to 59 –GDP market price inputs 1,206,096.1  Plus Final Demand table total column –sum of rows 52-59 –GDP Market price Final Demand 84,731.9  Equals GDP market price –Income side 1,290,828.0  Equals expenditures on GDP –grand total of Final Demand

44. 44 The relationships above are shown schematically (year 2004) Inputs Final Demand Total Row 1 2461 Row 51 Row 52 1291 GDP Row 59 Total 2461 1291 12551,206 Intermediate 1,206 85

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47. 47 ACCOUNTING IDENTITIES Commodity balance: Production + imports = intermediate use + domestic final use + exports Industry balance: - Total output of an industry (gross output) = its intermediate inputs + primary inputs - Gross Domestic Product (expenditure based) = Gross Domestic Product (income based)

48. GDP by industry Benchmarking

49. 49 Benchmarking The monthly indicators must be adjusted to the benchmarks provided by the Input- Output tables (interpolation) The sub-annual movements of the benchmarks are estimated using those of the indicators (extrapolation)

50. 50 Extrapolations Benchmark Extrapolations from the benchmark

51. 51 INPUT-OUTPUT DATA SOURCES I WITHIN STATISTICS CANADA BUSINESS AND TRADE STATISTICS INDUSTRY STATISTICS - Manufacturing Construction and Energy Division - Distributive Trades Division - Services Industries Division - Enterprise Statistics ECONOMY WIDE STATISTICS - Investment and Capital Stock Division - Industrial Organization and Finance Division - International Trade Division - Prices Division AGRICULTURE, TECHNOLOGY AND TRANSPORTATION STATISTICS - Agriculture Division - Transportation Division

52. 52 INSTITUTIONS AND SOCIAL STATISTICS - Culture, Tourism and the Centre for Education Statistics - Health Division LABOUR AND HOUSEHOLD SURVEYS - Labour Division SYSTEM OF NATIONAL ACCOUNTS - Income and Expenditure Accounts - Balance of Payments Division - Public Institutions Division - Environment Accounts INPUT-OUTPUT DATA SOURCES I WITHIN STATISTICS CANADA

53. 53 INPUT-OUTPUT DATA SOURCES IIOTHER FEDERAL DEPARTMENTS AND AGENCIES - Canada Revenue Agency (T4/T1/GIFI/GST files) - Department of Supply and Services - Natural Resources Canada - Department of Finance - Treasury Board - Office of the Superintendent of Financial Institutions - R.C.M.P. - National Transportation Agency - Oceans Canada - Health Canada - Bank of Canada

54. 54 IIIOTHER SOURCES - Provincial and Territorial Governments - Municipalities - Petroleum Services Association of Canada - Colliers Canadian Real Estate Review - TSE - Investment Funds Institute of Canada - Investor Protection Fund - Canadian Life and Health Insurance Association - Annual Reports INPUT-OUTPUT DATA SOURCES

55. 55 VALUATION OF INPUT-OUTPUT CELLS All Cells must be valued consistently in order for tables to balance For Analytical Uses I-O tables are valued at producer prices Producer Price = selling prices at boundary of the producing establishment (in manufacturing, “factor gate” price) excluding all taxes Purchaser Price = valuation of commodities purchased by industries and final demand sectors Margins =There are 7 types of margins that are used to convert between purchaser and producer price valuations: retail, wholesale, tax, transport, gas, storage and pipeline I-O tables are first balanced in purchaser prices and subsequently in producer prices

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57. 57 Producer to Purchaser valuation for a commodity Value  Domestic plant produce a good g 3 60  Good is transported to a wholesaler 1  Good is bought by a wholesaler61  Good is sold by the wholesalerto a retailer68 Wholesale margins 7  At point of sale tax is levied12  Final purchaser value to the buyer sold by retailer plus tax80

58. 58 Purchaser to producer price valuation of Inputs to a buyer  Suppose the good valued at 80 is a input to an industry which also buys other goods and services and GDP components  The purchaser price to producer price maybe shown

59. 59 Inputs for an Industry

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62. Exports: purchaser’s price vs producer’s price The exports are valued at the border (purchaser’s price) which includes a transport margin. Ex: export of a good produced in a factory in Ontario Purchaser’s price: $15,000.00 Producer’s price (factory in Ontario):$10,000.00 Transportation margin (transporter from Manitoba)$ 5,000.00 Then: export at purch. price = $15,000.00 But: export from Ontario = $10,000.00 (good) export from Manitoba = $ 5,000.00 (transport margin) Conclusion:Only the producer’s price shows the true transactions.

63. 63 APPLICATIONS

64. 64 National time series in current price Example : electric power 199219931994 G 1 800 8001000 G 2 -- 50 G 3 100 200 250 S 1 100011001200 GDP250026003000 TOTAL440048005500

65. 65 Example : electric power 199219931994 G 1 18.18 18.7518.18 G 2 - - 0.91 G 3 2.27 4.17 4.55 S 1 22.7322.9221.82 GDP56.8254.1754.54 TOTAL100.00100.00100.00 Relative price change in G 3 Change of technology in G 2

66. 66 Outsourcing computer services Data:Time-series C$ I/O Tables (M level) Commodity #84: Business and computer services Industries: #43 (NAICS 541) - Professional, scientific and technical services & #44 (NAICS 561) - Administrative and support services CANSIM Table: 381-0014

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77. 77 Output generated (Without leakages) Industry 1Industry 2 Initial demand10 first round4.63.4 second round3.0342.686 third round2.120861.91794 ………… …… Total24.81481512.592593 x.2x.4 GDP4.9629635.0370372 Sum = 10

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79. 79 COMMODITIES (719 commodities) INDUSTRIES (300 industries) FINAL DEMAND CATEGORIES TOTAL CIINVINV GXIXI XPXP MIMI MPMP COMMODITIES (719 commodities) Intermediate inputs Gross Output by Commodity INDUSTRIES (300 industries) Production Gross Output by Industry Indirect taxes on products Primary inputs GDP (income based) Indirect taxes on production Subsidies on products Subsidies on production Wages and salaries Supplementary labour income Mixed income Other operating surplus TotalGross Output by Commodity Gross Output by Industry GDP (expenditure based) Accounting framework for the Canadian Provincial Input-Output Accounts Categories are reflected through all 13 provinces/territories C = Consumption (personal expenditure) I = InvestmentINV = Inventory Change G = Government current expenditure XI = International exportsMI = International imports XP = Provincial exportsMP = Provincial imports

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82. 82 BASIS FOR DERIVING THE IMPACT MATRIX Matrix of Market Share Coefficient Calculated from MAKE MATRIX Industry shares of production of each commodity g=D T q Matrix of Technological Coefficients Calculated from USE MATRIX Inputs required to produce a dollar of industry output Ui=Bg Assumptions Each industry has fixed market share of any commodity Technical coefficients of each industry are fixed

83. 83 DERIVING THE IMPACT MATRIX (Simplified version) (i)g =D T q (ii)Ui = Bg (iii)q = Bg + e q is the total commodity output vector; Bg is the intermediate input vector and e is the total final demand input vector exogenously specified by users (q = Bg + e is the accounting balance between the supply and total disposition of each and every commodity) Multiply both sides of equation (iii) by D: We obtain (iv) Dq = DBg + De From equation (i) Dq = g we substitute Dq by g in (iv) g = DBg + De and we isolate g (I-DB) g = De to obtain the impact equation: g = (I-DB) -1 De This is a simplified version of an economy without leakages (Imports, etc.)

84. 84 THE NATIONAL INPUT-OUTPUT “OPEN” MODEL (I-DB) -1 D represents an open IO model in a closed economy with no imports of goods and services and no inventory stocks Leakages flows originating from outside the business sector or from production in a previous year 1. Imports ( µ ) 2. Withdrawals from inventory (  ) 3. Other, e.g., disinvestment of machinery and equipment as scrap

85. 85 REFORMULATING THE MODEL To account for leakages the solution is re- written as: g = [I-D(I-  -  )B] -1 D And the impact matrix becomes: [I-D(I-  -  )B] -1 per dollar of industry output [I-D(I-  -  )B] -1 D per dollar of commodity output

86. 86 Output generated (With leakages) * Industry 1Industry 2 Total16.3182467.540682 x.2x.4 GDP3.26364923.0162728 Sum = 6.3 *Manufactured goods 0.2 Other goods 0.1 Services 0.03

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88. 88 Shows the links between final demands and total industry outputs A simple regional IO model g = [I - DRB] -1 D(Rf + x) g = gross outputs by industry (ind. by prov.) D = market share matrix (ind. by com. by prov.) B = input coefficients (com. by ind. by prov.) R = regional import coefficients (com. by prov. by prov.) f = domestic final demands (com. by prov.) x = exports (com. by prov.) Inter-industry transactionsIndustrial dimension of final expenditures exports Domestic final expenditures Regional imports coefficients

89. 89 OUTPUTS OF MODEL Direct Impacts - Industry output delivered to final demand, the value-added associated with this output as well as other supply to final demand directly Indirect Impacts - Industry output delivered to other industries, the value-added associated with this output as well as other supply to industries Total Impact = Direct + Indirect Impacts Impacts can be expressed in terms of: - Production (Gross Output)- Value-added (GDP) - Labour Income- Imports - Employment- Resources Multiplier - Ratio of total impact to exogenous shock

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91. 91 AAFC I/O Model

92. 92 NoCodeIndustries (W) 1111400Greenhouse, Nursery and Floriculture Production 2111A00Crop Production (except Greenhouse, Nursery and Floriculture Production 2a111A01Wheat 2b111A02Feed grain 2c111A03Oilseed 2d111A04Potatoes 2e111A05Fruits & Vegetables 2f111A06Other Crops 3112500Animal Aquaculture 4112A00Animal Production (except Animal Aquaculture) 4a112A01Dairy 4b112A02Cattle 4c112A03Hogs 4d112A04Poultry and eggs 4e112A05Other livestock 7115100Support Activities for Crop Production 8115200Support Activities for Animal Production

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96. Statistics Canada’s SPSD/M The Social Policy Simulation Database and Model

97. 97 The SPSD/M Statistics Canada’s SPSD/M is an integrated database and tax/transfer simulation model  The SPSD/M concentrates on calculating the first round impacts of Canadian tax/transfer policy on individuals and families  Income taxes, payroll taxes, cash transfers, and commodity taxes.  It makes use of I/O data and modelling techniques to estimate the distributional impact of commodity taxes on families and individuals  http://www.statcan.ca/bsolc/english/bsolc?catno=89 F0002X

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101. 101 References Hoffman et al., User’s Guide to Statistics Canada Structural Economic Models, Input-Output Division, Statistics Canada, 1980. Miller, E. Ronald and Blair, Peter D., Input-Output Analysis: Foundations and Extensions, Prentice- Hall, New Jersey, 1985. United Nations, Handbook of Input-Output Table Compilation and Analysis, Series F, No. 74, New York, 1999.

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105. 105 Selected articles from Statistics Canada Sport Utility Vehicles: Driving Change by Erik Magnusson Manufacturing, Construction and Energy Division; Catalogue no. 11-621-MIE2005020 http://www.statcan.ca/english/research/11-621-MIE/11-621-MIE2005020.htm#3 http://www.statcan.ca/english/research/11-621-MIE/11-621-MIE2005020.htm#3 The Soaring Loonie and Prices: Lower Inflation for Consumers? by Radu Chiru, Prices Division Catalogue no. 11-621-MIE2004014 http://www.statcan.ca/english/research/11-621-MIE/11-621-MIE2004014.htm Multipliers and Outsourcing: How industries interact with each other and affect GDP; by Philip Cross and Ziad Ghanem http://www.statcan.ca/bsolc/english/bsolc?catno=11-010-X20060019000 Rising energy prices: How big a shock to consumers and industry? by Philip Cross and Ziad Ghanem http://www.statcan.ca/bsolc/english/bsolc?catno=11-010-X20050118806 Canada's natural resource exports by Philip Cross and Ziad Ghanem http://www.statcan.ca/bsolc/english/bsolc?catno=11-010-X20050057894 Offshoring and Employment in Canada: Some Basic Facts by Anick Johnson and René Morissette http://www.statcan.ca/english/research/11F0019MIE/11F0019MIE2007300.htm