Quantitative input and output relations in the economic system of the United States

Leontief, W. W. (1936). Quantitative input and output relations in the economic system of the United States. Review of Economics and Statistics, 18(3), 105-125.

Type

Journal article

Intellectual base

Review or monograph

Year

1936

Link

https://doi.org/10.2307/1927837matched

Cited from

environmental_climate

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Life Cycle Assessment (LCA)
  • The deep abstraction is that narrow accounting frameworks optimize for the measured quantity while systematically hiding costs or benefits that fall outside the frame, and that rational decision-making under constraints requires either an expansive accounting boundary or explicit, transparent treatment of out-of-frame quantities — a logic that traces back to Leontief's (1936) input-output economic accounting, the structural ancestor of modern IO-LCA.

    This sourceOriginal input-output economic accounting framework; provides the matrix-algebra ancestor of modern environmentally extended input-output LCA and the formal model for boundary-explicit accounting across an interlinked production system.

Domain-specific

• Matrix
  • Linear algebra — the home object: a single array encoding a linear map, a system Ax = b, a bilinear form, or a graph's adjacencies, with rank and the decomposition menu exposing the structure. Statistics — design, covariance, and projection matrices: the array machinery behind regression, PCA, and multivariate analysis. Computer graphics and robotics — transformation matrices: composing rotations, scalings, and projections, and Jacobians for kinematics. Numerical analysis and scientific computing — the computational backbone: LU for linear solves, QR for least-squares, SVD for low-rank approximation, with the spectrum governing stability and conditioning. Quantum mechanics — operators and density matrices: observables and states as matrices whose eigenstructure is physically meaningful. Network analysis — adjacency and Laplacian matrices: spectral graph theory reading connectivity and clustering off eigenvalues. Game theory — payoff matrices: the array encoding of strategic interaction. Economics — Leontief input–output matrices: the array linking sectoral production and demand

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