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Trade and Employment From Myths to Facts - International Labour ...

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Chapter 3: Assessing the impact of trade on employment: Methods of analysis<br />

Box 3-4: Input-output models: Some technical details<br />

Input-output models are used <strong>to</strong> analyse the impact of a change in final dem<strong>and</strong>,<br />

including net exports on the levels of production. The models assume fixed coefficients<br />

for labour, capital <strong>and</strong> intermediate inputs. Let A = {αij } be the coefficient matrix<br />

such that each αij describes the use of input i for the production of one unit of output<br />

j <strong>and</strong> X = {xj } be a column vec<strong>to</strong>r of gross outputs, including intermediate goods.<br />

So-called dual variables can also be defined <strong>and</strong> interpreted as prices, denoted here<br />

by row vec<strong>to</strong>r P = { pi }. The equation dual <strong>to</strong> the material balance is then<br />

P = PA + VA where VA is a row vec<strong>to</strong>r of value added, <strong>and</strong> may be disaggregated in<strong>to</strong> wages, profits,<br />

imports, taxes <strong>and</strong> rents as needed. 26 Final dem<strong>and</strong> is denoted by F = { fj }, a column<br />

vec<strong>to</strong>r of outputs, <strong>and</strong> may be disaggre gated in<strong>to</strong> consumption, government spending,<br />

exports <strong>and</strong> imports as needed. The essential equation of input-output analysis, known<br />

as the material balance, is then<br />

X = AX + F<br />

One of the most basic measures of the effect of trade on employment comes from<br />

estimating direct labour coefficients, or the inverse of labour productivity. Census<br />

data provides measures of value added <strong>and</strong> em ployment by sec<strong>to</strong>r <strong>and</strong> thus an index<br />

of the number of workers employed by a unit of value added can be constructed. 27<br />

frameworks take in<strong>to</strong> account backward linkages between trading sec<strong>to</strong>rs <strong>and</strong> the rest<br />

of the economy <strong>and</strong> therefore make it possible <strong>to</strong> assess the indirect employment<br />

impacts of trade reform or changes in trade flows. Economy-wide models of this type<br />

are usually based on either aggregate data from national income <strong>and</strong> product accounts<br />

or more disaggregated input-output tables. Regional models may link regional inpu<strong>to</strong>utput<br />

matrices, analogous <strong>to</strong> the way international trade models link countries. The<br />

informal sec<strong>to</strong>r can also be treated in the same way, operating alongside the formal<br />

economy <strong>and</strong> trading with it.<br />

Lydall’s (1975) classic study for the ILO assumed that an increase in imports<br />

by a developed country of one of 12 different final processing ISIC industries, produced<br />

by a developing country, would replace an equal value (US$1 million at fac<strong>to</strong>r<br />

cost) of production in the developed economy. The question addressed was then:<br />

what is the effect of this replacement in the importing <strong>and</strong> exporting countries, respectively?<br />

The Lydall study takes in<strong>to</strong> account not only the direct impact of the<br />

trade on producing sec<strong>to</strong>r employment but also the indirect employment effects by<br />

way of input-output analysis. These are the so-called “backward linkage” effects. These<br />

indirect effects naturally include the impact on the balance of other tradable goods. 28<br />

26 Fac<strong>to</strong>rs of production, labour, L, <strong>and</strong> capital, K, are treated separately, usually with fixed coefficients<br />

under the assumption that fac<strong>to</strong>r prices remain unchanged.<br />

27 The “unit” has <strong>to</strong> be in common currency <strong>and</strong> this presents problems of its own. Previous<br />

studies have used the official or prevailing exchange rate <strong>to</strong> convert value added <strong>to</strong> a common<br />

currency, usually US$.<br />

28 A recent study on the employment effects of changes in trade flows during the Great Recession<br />

(Kucera et al., 2010) finds that indirect employment effects may be about equal in size <strong>to</strong> the direct<br />

employment effects of a trade shock.<br />

83

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