Growth Accounting
Also known as: Sources of Growth Analysis, Solow Growth Accounting, Production Function Decomposition, Total Factor Productivity Accounting
Growth accounting is a production-function-based framework that decomposes the growth rate of aggregate output into the contributions of growth in measured inputs — typically capital and labour — and a residual that captures the growth in total factor productivity (TFP). Building on Robert Solow's 1957 derivation and refined by Dale Jorgenson and Zvi Griliches in 1967, it weights each input's growth rate by its share of national income and attributes whatever output growth is left unexplained to improvements in productivity, technology, and efficiency.
Key highlights
- Provides a transparent, theory-grounded decomposition of growth into input accumulation and productivity in the actual units of output growth.
- Requires only national-accounts data — output, inputs, and factor income shares — without estimating a full econometric model, making it widely applicable.
- Yields the standard cross-country comparable measure of TFP growth, underpinning convergence and development debates.
- Extends naturally to quality-adjusted inputs and multiple factor types (Jorgenson-Griliches), shrinking the unexplained residual toward genuine technical change.
Intuition
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How it works
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When to use it
Use growth accounting when you need to attribute observed output growth — for a country, industry, or firm — to the accumulation of measured inputs versus improvements in productivity, and when you have reliable time series of output, capital services, labour input, and factor income shares. It is the standard descriptive tool in macroeconomics and development economics for comparing growth across countries and decomposing growth episodes (for example, distinguishing input-driven 'perspiration' growth from productivity-driven 'inspiration' growth). It assumes competitive factor markets, constant returns to scale, and Hicks-neutral technical change, so it is descriptive rather than causal: the TFP residual identifies what is left unexplained, not why. When these assumptions fail — imperfect competition, scale economies, or large measurement gaps — the residual is biased, and frontier or econometric production-function estimation may be preferred.
Strengths & limitations
- Provides a transparent, theory-grounded decomposition of growth into input accumulation and productivity in the actual units of output growth.
- Requires only national-accounts data — output, inputs, and factor income shares — without estimating a full econometric model, making it widely applicable.
- Yields the standard cross-country comparable measure of TFP growth, underpinning convergence and development debates.
- Extends naturally to quality-adjusted inputs and multiple factor types (Jorgenson-Griliches), shrinking the unexplained residual toward genuine technical change.
- The TFP residual is a residual: it absorbs measurement error, omitted inputs, and model misspecification, so it overstates true technical change when inputs are mismeasured.
- Relies on the assumption that factors are paid their marginal products under perfect competition and constant returns to scale, which fails with market power or scale economies.
- Treats technical change as Hicks-neutral (a uniform shift), which cannot capture factor-biased technological change without extension.
- Provides accounting, not explanation — it quantifies the sources of growth but is silent on the deeper determinants of productivity itself.
Common pitfalls
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Applications
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Frequently asked
What is the difference between growth accounting and the Solow residual?
Growth accounting is the full decomposition exercise — measuring output growth, input growth, and factor shares, and attributing output growth across them. The Solow residual is one specific output of that exercise: the leftover TFP growth term computed by subtracting share-weighted input growth from output growth. In other words, the Solow residual is the residual line of the growth-accounting identity, while growth accounting is the whole accounting procedure that produces it.
Why are factor income shares used as weights instead of estimated elasticities?
Under the assumptions of perfect competition and constant returns to scale, each factor is paid its marginal product, which implies that a factor's output elasticity equals its share of total income. Observed income shares — capital's share and labour's share from the national accounts — are therefore used as direct, model-free estimates of the elasticities, avoiding the need to econometrically estimate the production function. This is the method's great convenience and also its central vulnerability: if markets are not competitive, the shares are no longer valid proxies for the elasticities.
How does quality-adjusting inputs change the measured residual?
Jorgenson and Griliches showed that much of what crude growth accounting attributes to TFP is actually unmeasured improvement in input quality — workers becoming more educated and experienced, or capital shifting toward shorter-lived, more productive equipment. When labour input is adjusted for composition (education, age, sex) and capital is disaggregated by asset type and weighted by rental prices, the measured input contribution rises and the unexplained residual shrinks. The residual then more closely reflects genuine disembodied technical change rather than mismeasurement.
Sources
- 1.Solow, R. M. (1957). Technical change and the aggregate production function. The Review of Economics and Statistics, 39(3), 312–320.
- 2.Jorgenson, D. W., & Griliches, Z. (1967). The explanation of productivity change. The Review of Economic Studies, 34(3), 249–283.
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Cite this page
ScholarGate. (2026, June 22). Growth Accounting. ScholarGate. https://scholargate.app/economics/growth-accounting