Submitted:
18 June 2025
Posted:
19 June 2025
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Abstract
Keywords:
1. Introduction
- To present a transparent and replicable methodology for the construction of these high-resolution SUTs and IOTs, detailing the process of generating input and output flows, and the critical step of reconciling data from various sources and classification systems (NPCMS and NIC).
- To elucidate the mathematical transformation from SUTs to symmetric IOTs, employing the Industry Technology Assumption, a choice we argue is particularly pertinent for economies with significant by-production.
- To demonstrate the analytical utility of this framework by applying it to estimate Domestic Value Added (DVA), Foreign Value Added (FVA), and employment linkages (both direct and indirect) supported by production and exports. This is vividly illustrated through an in-depth case study of India’s mobile phone manufacturing sector, a sector of immense strategic importance under current industrial policy initiatives.
2. Foundational Concepts in Input-Output Analysis
3. Methodology Part 1: Compilation of Supply and Use Tables
3.1. Definitions and Structure
3.1.1. The Supply Table
| Products | Industry 1 | Industry 2 | ... | Industry n | Imports by | Total Supply |
|---|---|---|---|---|---|---|
| (e.g., Agri.) | (e.g., Mining) | (e.g., Services) | Product | by Product | ||
| Product A | Output of A | Output of A | ... | Output of A | Imports of A | Total Supply of A |
| (e.g., Agri. good) | by Industry 1 | by Industry 2 | by Industry n | |||
| Product B | Output of B | Output of B | ... | Output of B | Imports of B | Total Supply of B |
| (e.g., Mineral) | by Industry 1 | by Industry 2 | by Industry n | |||
| ... | ... | ... | ... | ... | ... | ... |
| Product Z | Output of Z | Output of Z | ... | Output of Z | Imports of Z | Total Supply of Z |
| (e.g., Service) | by Industry 1 | by Industry 2 | by Industry n | |||
| Total Output | Total Output | Total Output | ... | Total Output | Total | Grand Total |
| by Industry | of Industry 1 | of Industry 2 | of Industry n | Imports | Supply |
3.1.2. The Use Table
- Intermediate consumption by industry: This details how much of each product is consumed by various industries in their production processes.
-
Final uses: This captures the demand for products for:
- −
- Final consumption (by households, government, and non-profit institutions serving households).
- −
- Gross Capital Formation (investment in fixed assets and changes in inventories).
- −
- Exports (products sold to the rest of the world).
| Products/GVA | Industry 1 | Industry 2 | ... | Industry n | Final | Gross Capital | Exports | Total Use |
|---|---|---|---|---|---|---|---|---|
| Components | (e.g., Agri.) | (e.g., Mining) | (e.g., Services) | Consumption | Formation | by Product | ||
| Intermediate Consumption | ||||||||
| Product A | Use of A by | Use of A by | ... | Use of A by | Final Cons. | GCF of A | Exp. of A | Total Use of A |
| (e.g., Agri. good) | Industry 1 | Industry 2 | Industry n | of A | ||||
| Product B | Use of B by | Use of B by | ... | Use of B by | Final Cons. | GCF of B | Exp. of B | Total Use of B |
| (e.g., Mineral) | Industry 1 | Industry 2 | Industry n | of B | ||||
| ... | ... | ... | ... | ... | ... | ... | ... | ... |
| Product Z | Use of Z by | Use of Z by | ... | Use of Z by | Final Cons. | GCF of Z | Exp. of Z | Total Use of Z |
| (e.g., Service) | Industry 1 | Industry 2 | Industry n | of Z | ||||
| Value Added | ||||||||
| Comp. of Employees | GVA Comp. | GVA Comp. | ... | GVA Comp. | Total GVA Comp. | |||
| in Industry 1 | in Industry 2 | in Industry n | ||||||
| Other Taxes less Subsidies | GVA Comp. | GVA Comp. | ... | GVA Comp. | Total GVA Comp. | |||
| in Industry 1 | in Industry 2 | in Industry n | ||||||
| Cons. of Fixed Capital | GVA Comp. | GVA Comp. | ... | GVA Comp. | Total GVA Comp. | |||
| in Industry 1 | in Industry 2 | in Industry n | ||||||
| Net Operating Surplus | GVA Comp. | GVA Comp. | ... | GVA Comp. | Total GVA Comp. | |||
| in Industry 1 | in Industry 2 | in Industry n | ||||||
| Total Input | Total Input | Total Input | ... | Total Input | Total Final | Total | Total | Grand Total |
| by Industry | of Ind. 1 | of Ind. 2 | of Ind. n | Cons. | GCF | Exp. | Use |
3.2. Product and Industry Classifications
- National Industrial Classification (NIC): The 5-digit NIC codes are used for classifying economic activities or industries, adhering to the International Standard Industrial Classification of All Economic Activities (ISIC) framework (ISIC Rev. 4, UN, 2008). ISIC’s purpose is to provide a standardized set of activity categories for internationally comparable statistics, classifying units like establishments or enterprises based on their principal economic activity.
- National Product Classification for Manufacturing Sector (NPCMS): The 7-digit NPCMS codes are used for classifying manufactured products. For services and primary sector products, NIC codes are adapted. The NPCMS aligns with the Central Product Classification (CPC) (Version 2.1, UN, 2015), which aims to categorize all goods and services resulting from economic production, including transportable goods, non-transportable goods, and services.
- Principal Activity: The activity contributing most to the unit’s value added, determined by a "top-down method" hierarchically through the classification levels. This method means the principal activity might not always account for over 50% of total value added, though it often does.
- Secondary Activities: Other production activities undertaken by the unit.
- Ancillary Activities: Activities supporting the main productive activities (e.g., accounting, transportation within the firm), not typically shown as separate outputs in SUTs.
3.3. Generation of Input and Output Flows
- Registered Manufacturing: Detailed results from the Annual Survey of Industries (ASI) for 2016-2022 form the primary data source. Input flows are compiled by aggregating data for each industry sub-group from ASI Blocks I (Indigenous input items, raw materials excluding energy), H (Imported input items, raw materials excluding energy), and F (Other input items including energy). Output flows are derived from Blocks J (Products and by-products manufactured by the unit) and G (Other outputs/receipts). Within these industry sub-groups, products are categorized to align with NIC sectors, and industry sub-groups are also consolidated to NIC sectors. A significant challenge is the presence of unidentified input items such as ’other basic materials’, ’other chemicals’, ’other packing materials’, and ’others’. These are meticulously handled: for example, ’other chemicals’ are redistributed among specific chemical sectors proportionate to existing entries; materials for building maintenance are treated as purchases from construction, and machinery maintenance materials are linked to relevant producing sectors. Remaining unidentified items are allocated through careful manual balancing.
- Unregistered Manufacturing: Data for this segment is based on specifically tabulated data for inputs and outputs by product, often linked to results from surveys of the unorganized sector and the KLEMS database for time consistency and comprehensive coverage. Sector codes (NIC) are assigned using concordance tables. Uncoded products at the time of survey are converted to NIC sector codes. Adjustments are made to align data from 2016-17 to 2022-23, linking with KLEMS.
3.3.1. The Input Flow Matrix (Conceptual Use Table Construction)
3.3.2. The Output (Make) Matrix
3.4. Balancing Supply and Use Tables
- Identity (1): Output = Intermediate Consumption + Gross Value Added. For each economic activity (industry), its total output must equal the sum of its intermediate consumption and the gross value added it generates. This is represented as in matrix notation for the Use Table in the NSO MoSPI slides.
- Identity (2): Total Supply by Product = Total Use by Product. For each product, the total supply (from domestic production and imports) must equal its total use (as intermediate consumption, final consumption, gross capital formation, or exports). This is (where Y includes all final uses) from the Use table perspective, and from the Supply table perspective.
- Identity (3): GVA (Production Approach) = GVA (Income Approach). For each industry, the Gross Value Added calculated using the production approach (Output - Intermediate Consumption) must equal the GVA estimated using the income approach (Compensation of Employees + Gross Operating Surplus/Mixed Income + Other Taxes less Subsidies on Production).
3.5. Distinguishing Domestic and Imported Product Use
4. Methodology Part 2: From Supply-Use Tables to Symmetric Input-Output Tables
4.1. Technology Assumptions for Transformation
-
For Product-by-Product IOTs:
- −
- Product Technology Assumption (Model A in Eurostat): This assumes that each product is produced using its own specific and unique input structure (technology), irrespective of the industry in which it is produced.
- −
- Industry Technology Assumption (Model B in Eurostat): This assumes that each industry has its own specific and unique input structure (technology), irrespective of its product mix. All products produced by a particular industry (both principal and secondary) are therefore assumed to be produced using that same industry’s average input structure. This assumption is often considered more suitable for by-products or joint products.
-
For Industry-by-Industry IOTs:
- −
- Fixed Industry Sales Structure Assumption (Model C in Eurostat): This assumes that each industry has its own specific sales structure for its outputs, irrespective of its product mix.
- −
- Fixed Product Sales Structure Assumption (Model D in Eurostat): This assumes that each product has its own specific sales structure, regardless of the industry producing it.
4.2. Mathematical Transformation under Industry Technology Assumption
- U: Matrix of intermediate use of products by industries (rows = products, columns = industries). For deriving , is used.
- : Supply or Make Matrix where rows are products and columns are industries, representing the output of products by industry.
- g: Column vector of gross industry output totals.
- x: Column vector of gross product output totals.
- W: Matrix or row vector(s) of value added components by industry.
- : Diagonalized vector g.
- : Diagonalized vector x.
- T: Transformation matrix.
- A: Input coefficient matrix (product-by-product).
- R: Value added coefficient matrix (value added components by product).
- Product Mix Matrix (C): This matrix represents the share of each product in an industry’s total output. Each element is the share of product i in the output of industry j.
-
Transformation Matrix (T): Under the Industry Technology Assumption, this matrix is used to convert industry-based inputs into product-based inputs.This transformation matrix T (dimensions: industries × products) effectively assumes that an industry’s specific input structure applies proportionally to all the products it manufactures.
-
Input Coefficient Matrix (A) (Product-by-Product): Each element represents the amount of input product i required directly to produce one unit of output product j.If we are deriving the domestic coefficients matrix , then U should be .
- Value Added Coefficient Matrix (R): This matrix represents the primary inputs required per unit of product output.
5. Methodology Part 3: Analytical Applications - The Leontief Inverse and Economic Impact Analysis
5.1. The Leontief Inverse
- I is the Identity Matrix.
- is the domestic input coefficient matrix.
5.2. Estimating Domestic Value Added (DVA) and Foreign Value Added (FVA)
- is a row vector representing the DVA embodied in the production or exports of each of the n sectors/products.
- v is a row vector of direct value-added-to-output ratios for each sector/product.
- is the Leontief inverse.
- is an diagonal matrix where the diagonal elements represent the gross value of production or exports.
- Direct DVA (): Value added generated directly within the producing or exporting sector itself.
- Indirect DVA (): Value added generated in upstream domestic sectors supplying inputs.
5.3. Estimating Employment Linkages
- e is a row vector of jobs supported by production/exports in each sector/product.
- l is a row vector of employment coefficients (labor per unit of output).
- and are as defined previously.
- Direct Employment (): Jobs created directly within the producing/exporting sector itself.
- Indirect Employment (): Jobs created in upstream domestic sectors ().
5.4. Data Sources for Impact Analysis
- Annual Survey of Industries (ASI): For the organized manufacturing sector, forming the basis for SUTs and IOTs (2016-17 to 2022-23). ASI is used for direct estimates.
- India KLEMS Database (RBI): For comprehensive indirect estimates covering organized and unorganized segments.
- National Sample Survey Office (NSSO): Data for unorganized enterprises.
5.5. Assumptions and Limitations of IO-based Impact Estimation
6. Case Study: India’s Mobile Phone Manufacturing Sector (NPCMS 4722200), 2016-2022
6.1. Output and Trade Dynamics
- Total Output: The average triennial output increased by a significant 81%, from $20 billion (2016-2018) to $36 billion (2019-2022).
- Total Imports: The annual average import value decreased by 49%, from $2,967 million to $1,525 million. Imports as a percentage of total domestic output fell from 29% in 2016 to approximately 4% on average during 2019-2022.
- Total Exports: The average annual export value skyrocketed by 800%, from $661 million to $5,950 million. The share of exports in total output rose from 1% in 2016 to 25% in 2022.
6.2. Value Addition: Domestic (DVA) vs. Foreign (FVA)
- Direct Domestic Value Added (DDVA - ASI based): Grew by 283%, from an average of $1,193 million to $4,571 million.
- Indirect Domestic Value Added (IDVA - KLEMS based): Showed growth of 604%, from $470 million to $3,308 million. ASI-based IDVA grew 537% ($511m to $3,258m).
- Total Domestic Value Added (TDVA - KLEMS based): Grew by 374%, from $1,663 million to $7,879 million. ASI-based TDVA increased by 359% ($1,704m to $7,829m).
- Direct Foreign Value Added (DFVA): Average DFVA increased by 28%, from $17,263 million to $22,128 million. Its share in gross output significantly decreased.
- Indirect Foreign Value Added (IFVA): Surged by 528%, from $626 million to $3,934 million.
- Total Foreign Value Added (TFVA): Average TFVA rose by 46%, from $17,890 million to $26,062 million. Its share in total output fell from approximately 91% to around 72%.
- DVA in Exports: Experienced average growth of 2063%, from $62 million to $1,335 million. Its share in exports rose from 9% to 22%.
- FVA in Exports: Increased by an average of 670% ($599m to $4,615m). Its share in exports declined from 91% to 78%.
6.3. Employment Dynamics
- Total Employment (KLEMS Production): Average rose by 106%, from 582,878 to 1,198,498. Export-related jobs (KLEMS Export) surged by 681% (26,890 to 2,10,135).
- Direct Employees (ASI Production): Grew by 497% (27,052 to 1,61,623). Export-related grew 3327% (856 to 29,328).
- Indirect Employees (KLEMS Production): Grew by 87% (555,826 to 1,036,876). Export-related grew 594% (26,034 to 180,807).
- Shift towards Contractualization (KLEMS Production): Total Contractual Workers average 207% (233,380 to 715,796), vs. Total Regular Workers average 17% (281,699 to 328,671).
- Female Participation (KLEMS Production): Total Female Workers average 37% (96,394 to 132,232), vs. Total Male Workers average 6% (185,305 to 196,439).
6.4. Wages and Salaries
- Total Wages/Salaries (KLEMS Production): Average increased by 69% ($1,710m to $2,886m). Export-related grew by 476% ($91m to $524m).
- Wages for Contractual Workers (KLEMS Production, Total): Average surged 449% ($224m to $1,226m).
- Wages for Regular Workers (KLEMS Production, Total): Average grew 63% ($458m to $746m).
- Direct Wages (ASI Production): Grew 395% (avg. $123m to $609m). Export direct wages grew 2515% (avg. $4.2m to $110m).
6.5. Output Quality Index (OQI)
- Average OQI (Base: 2016) increased by 119%, from 145 (2016-2018) to 318 (2019-2022).
- Average Domestic Quality Index (DQI) fell by 30% (739 to 519).
- Average Import Quality Index (IQI) surged by 774% (126 to 1,104).
6.6. Backward Linkages (Key Inputs)
- Key Domestic Components: Services (Trade - F11, Business - F1/F3, Financial - F10, Construction - F4, Rental - F6), copper/aluminium wires (4294299), plastic parts (3694005), some PCBs (4713002) and ICs (4715002).
- Key Foreign Components: Parts of cellular sets (4740100), transmission apparatus parts (4740300), consumables (9922100), electronic components (PCBs, ICs, digital cameras, LCDs, batteries).
6.7. Discussion of Findings (Mobile Phone Sector)
7. Conclusion and Way Forward
- Dynamic Growth and Trade Reorientation: The sector demonstrated robust output growth (81% average increase), a significant reduction in import dependency for finished goods (from 29% to 4% of output), and an explosive surge in exports (800% average increase).
- Evolving Value Addition: There was a marked increase in Domestic Value Added (DVA), particularly its share in the rapidly expanding exports (rising from approximately 9% to 22%).
- Substantial Employment Creation with Structural Shifts: The sector has been a major job generator (average total employment 106%), driven heavily by export-related job growth (681%). Concurrently, there have been significant shifts in the labor structure: a substantial rise in contractual work (207% in production) and an increase in female participation (37% in production).
- Wage Dynamics: Wages, particularly for contractual workers, saw significant increases.
Acknowledgments
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