José E. Durán Lima es

Input-Output Matrix

The input-output
matrices
of Latin America

Each cell records how much one productive sector in a country buys from another sector in another country. Stacking those cells across ten economies and forty sectors yields an X-ray of South American productive integration, a matrix of several thousand rows the region had never built before.

MIP-SA 2005 · intermediate use
A1 | = ARG-Agriculture → ARG-Agriculture 3,210
ARG ARG BRA BRA CHL CHL COL COL
Supplier sector ↓ Agri Mini Manu Serv Agri Mini Manu Serv Agri Mini Manu Serv Agri Mini Manu Serv
ARG ARG
Agricul 3.2k 142 8.7k 615 105 18 412 52 38 11 164 21 27 9 138 18
Mining 198 2.2k 3.3k 472 21 145 528 63 14 189 241 27 12 34 156 19
Manufac 1.5k 824 18.6k 2.4k 287 119 1.8k 312 102 74 682 98 76 51 498 72
Service 612 245 3.0k 8.7k 64 32 412 188 31 18 142 61 27 14 104 45
BRA BRA
Agricul 138 22 389 61 8.4k 305 12.5k 1.8k 78 42 412 64 61 35 312 48
Mining 12 198 261 43 215 4.7k 9.9k 1.1k 32 215 682 91 19 89 412 58
Manufac 312 421 1.8k 298 2.4k 1.1k 58.4k 6.5k 412 289 2.8k 312 298 215 2.4k 312
Service 105 142 612 412 815 542 8.4k 29.8k 98 72 612 215 76 58 412 198
CHL CHL
Agricul 22 14 198 27 45 19 312 51 1.8k 245 2.4k 312 22 18 98 31
Mining 8 182 312 34 12 312 842 72 156 3.2k 4.0k 612 14 142 312 42
Manufac 142 214 1.8k 312 198 162 2.4k 312 842 612 18.4k 2.4k 142 118 842 142
Service 52 61 412 198 62 52 612 312 312 215 2.4k 8.4k 51 42 312 142
COL COL
Agricul 34 18 214 32 72 35 412 62 28 19 142 32 2.4k 312 3.0k 412
Mining 12 58 198 27 21 98 312 42 18 62 198 35 312 3.2k 4.0k 612
Manufac 198 245 1.2k 298 215 142 2.4k 412 142 118 842 142 1.8k 1.2k 21.4k 2.8k
Service 72 91 512 245 82 72 842 412 62 51 312 142 412 312 3.0k 9.6k
Self-use Same country Cross-country
Figures in millions of US dollars, basic prices. 4 countries × 4 aggregated sectors. The complete matrix covers 10 countries × 40 sectors.

What is an input-output matrix

It is an economy's X-ray

Input-output matrices (IO) are a statistical tool for economic analysis that measures and describes productive interrelations within one or several economies in a given year, including the links that emerge from trade.

ECLAC IO Manual (Durán Lima and Banacloche, 2021), p. 13

Gross trade counts the same thing twice

Traditional international trade statistics register the gross flows of cross-border goods and services without capturing the value added by each country. This measurement can lead to mistaken conclusions about the contribution of trade to economic growth and income, since it incurs a double-counting problem.

ECLAC IO Manual (Durán Lima and Banacloche, 2021), p. 10

It traces value across borders

Multi-regional input-output matrices make it possible to identify the origin and destination of the value flowing through global value chains, defining the roles of countries and industries that play a determining part in supply chains and the sources of competitiveness.

ECLAC IO Manual (Durán Lima and Banacloche, 2021), p. 10

Chart lab

Indicators built from the IO matrices

Pick an indicator to see the result. All figures come from the ECLAC Input-Output Analysis Manual (Durán Lima and Banacloche, 2021).

GDP by country, South America, 2005

Share of South American GDP (%)

15.0%30.0%45.0%60.0%
Brazil
Brazil: 54.0%54.0%
Argentina
Argentina: 10.9%10.9%
Colombia
Colombia: 9.0%9.0%
Venezuela
Venezuela: 8.8%8.8%
Chile
Chile: 7.9%7.9%
Peru
Peru: 4.6%4.6%
Ecuador
Ecuador: 2.6%2.6%
Uruguay
Uruguay: 1.0%1.0%
Paraguay
Paraguay: 0.7%0.7%
Bolivia
Bolivia: 0.6%0.6%

SourceDurán Lima and Banacloche (2021), IO Manual, figure 1, p. 27

How it was built

Fifteen years of regional matrix

From the first ECLAC and IPEA harmonisation exercise to the 2025 launch of the global multi-regional matrix linking Latin America with the European Union, Asia and North America.

  1. 2013 Kickoff

    ECLAC and IPEA project starts

    Formal launch of the joint ECLAC and IPEA project to build the first multi-country South American IO matrix.

  2. 2016 Launch

    South American matrix, 10 countries

    Full sectoral opening, base year 2005. Coverage of 10 economies and 40 harmonised sectors, 98% of regional GDP.

    Document ↗
  3. 2017 FIGARO

    EU convergence

    Methodological harmonisation with the European Commission (JRC and EUROSTAT) towards an LAC and EU multi-regional matrix.

  4. 2020 Sub-regional

    Andean Community and Pacific Alliance MIPs

    Launch of the sub-regional matrices as diagnostic and post-COVID recovery tools.

  5. 2021 Manual

    Methodology manual

    Durán Lima and Banacloche publish the regional reference for applied I-O analysis.

    Document ↗
  6. 2023 Colombia

    Colombia multi-regional MIP

    Matrix for Bogotá and 7 departments. Sergio Arboleda University, ECLAC, City Hall and GIZ.

  7. 2024 IIOA

    30th IIOA World Conference

    José Elías chairs the Santiago Local Committee. More than 250 academics working on input-output analysis.

    Document ↗
  8. 2025 MRIO-LAC

    MRIO-LAC and global ECLAC FIGARO

    Seville launch of the LAC regional matrix (18 economies) and the expanded global one (65 economies).

    Document ↗

Institutional partners

Who makes the MIP-SA and its extensions possible

CEPAL · Naciones Unidas

International Trade and Integration Division · Regional Integration Unit

IPEA · Brasil

Institute of Applied Economic Research · Brazil

Joint Research Centre EUROSTAT

Joint Research Centre + EUROSTAT · European Commission

Multi-regional MRIOT extension (FIGARO project)