Upstreamness and downstreamness in input–output analysis from local and aggregate information

Abstract Ranking sectors and countries within global value chains is of paramount importance to estimate risks and forecast growth in large economies. However, this task is often non-trivial due to the lack of complete and accurate information on the flows of money and goods between sectors and coun...

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Main Authors: Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli, Pierpaolo Vivo
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-86380-6
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author Silvia Bartolucci
Fabio Caccioli
Francesco Caravelli
Pierpaolo Vivo
author_facet Silvia Bartolucci
Fabio Caccioli
Francesco Caravelli
Pierpaolo Vivo
author_sort Silvia Bartolucci
collection DOAJ
description Abstract Ranking sectors and countries within global value chains is of paramount importance to estimate risks and forecast growth in large economies. However, this task is often non-trivial due to the lack of complete and accurate information on the flows of money and goods between sectors and countries, which are encoded in input–output (I–O) tables. In this work, we show that an accurate estimation of the role played by sectors and countries in supply chain networks can be achieved without full knowledge of the I–O tables, but only relying on local and aggregate information, e.g., the total intermediate demand per sector. Our method, based on a rank-1 approximation to the I–O table, shows consistently good performance in reconstructing rankings (i.e., upstreamness and downstreamness measures for countries and sectors) when tested on empirical data from the world input–output database. Moreover, we connect the accuracy of our approximate framework with the spectral properties of the I–O tables, which ordinarily exhibit relatively large spectral gaps. Our approach provides a fast and analytically tractable framework to rank constituents of a complex economy without the need of matrix inversions and the knowledge of finer intersectorial details.
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spelling doaj-art-aaeee68ac3a14db8b579917303e913d32025-01-26T12:23:43ZengNature PortfolioScientific Reports2045-23222025-01-0115111710.1038/s41598-025-86380-6Upstreamness and downstreamness in input–output analysis from local and aggregate informationSilvia Bartolucci0Fabio Caccioli1Francesco Caravelli2Pierpaolo Vivo3Department of Computer Science, University College LondonDepartment of Computer Science, University College LondonT-Division (Center for Nonlinear Studies and T4), Los Alamos National LaboratoryDepartment of Mathematics, King’s College LondonAbstract Ranking sectors and countries within global value chains is of paramount importance to estimate risks and forecast growth in large economies. However, this task is often non-trivial due to the lack of complete and accurate information on the flows of money and goods between sectors and countries, which are encoded in input–output (I–O) tables. In this work, we show that an accurate estimation of the role played by sectors and countries in supply chain networks can be achieved without full knowledge of the I–O tables, but only relying on local and aggregate information, e.g., the total intermediate demand per sector. Our method, based on a rank-1 approximation to the I–O table, shows consistently good performance in reconstructing rankings (i.e., upstreamness and downstreamness measures for countries and sectors) when tested on empirical data from the world input–output database. Moreover, we connect the accuracy of our approximate framework with the spectral properties of the I–O tables, which ordinarily exhibit relatively large spectral gaps. Our approach provides a fast and analytically tractable framework to rank constituents of a complex economy without the need of matrix inversions and the knowledge of finer intersectorial details.https://doi.org/10.1038/s41598-025-86380-6
spellingShingle Silvia Bartolucci
Fabio Caccioli
Francesco Caravelli
Pierpaolo Vivo
Upstreamness and downstreamness in input–output analysis from local and aggregate information
Scientific Reports
title Upstreamness and downstreamness in input–output analysis from local and aggregate information
title_full Upstreamness and downstreamness in input–output analysis from local and aggregate information
title_fullStr Upstreamness and downstreamness in input–output analysis from local and aggregate information
title_full_unstemmed Upstreamness and downstreamness in input–output analysis from local and aggregate information
title_short Upstreamness and downstreamness in input–output analysis from local and aggregate information
title_sort upstreamness and downstreamness in input output analysis from local and aggregate information
url https://doi.org/10.1038/s41598-025-86380-6
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AT pierpaolovivo upstreamnessanddownstreamnessininputoutputanalysisfromlocalandaggregateinformation