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Full Paper - ESEE 2011 - Advancing Ecological Economics

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The Multi-Regional Input-Output Model<br />

Input-output analysis (IOA) as an economic modelling technique aims to understand the interactions<br />

between economic sectors, producers and consumers. Principally formulated by Wassily Leontief in<br />

the 1930s, economic input-output analysis has been used ever since in countless applications<br />

addressing questions on economy, labour, social issues, trade, energy, ecology, resource use,<br />

industrial ecology and environmental science. The compilation of input-output tables of national and<br />

regional economies is now a routine practice governed by a UN standard (CenSa, 2010).<br />

Within the input-output models rows represent product groups and the columns represent the<br />

industry, government, or household sectors which consume them. The transactions that take place<br />

between the sectors are most frequently described in monetary values (as a result of the original<br />

principally economic function that the models performed) see Appendix A for a brief description of<br />

the basic IO framework and Miller and Blair (2009) or Leontief (1970) for a full breakdown. There are<br />

some examples with physical units or energy, but these are often restricted by data availability (for<br />

example, Klaus Hubacek and Giljum 2003). The basic structure of an environmentally extended IO<br />

model is shown in Figure 2.<br />

Industries<br />

1<br />

.<br />

.<br />

.<br />

n<br />

1<br />

k<br />

1<br />

Industries<br />

. . . n<br />

Intermediate flows between<br />

industries (n x n)<br />

Value added (k x n)<br />

Total input<br />

Environmental Extension (r)<br />

Figure 2: General structure of an input-output table<br />

1 . . . l<br />

Final demand<br />

categories<br />

Legend<br />

(n x l)<br />

An environmentally extended IO table is formed when an input-output model is extended to include<br />

environmental data ((r) in Figure 2) and this has been recognised as a useful top-down method for<br />

re-allocating emissions from production to end use. A further extension to the basic framework is<br />

the addition of trade data and foreign emissions intensities. This process moves the model from<br />

single region assumption, where imported goods and services are assumed to be produced with the<br />

same emissions intensity as the equivalent domestic sector, to a multi-region model where varying<br />

emissions intensities are applied according to the country of production.<br />

Total output<br />

n – no. of industries<br />

k – no. of value added categories<br />

l – no. of final demand categories<br />

r – no. of carbon emissions<br />

5

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