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economic sectors, takes the ad hoc model's<br />

approach to its logical conclusion by representing<br />

the entire economy by a system of simultaneous<br />

equations.<br />

Input±output analysis is a general equilibrium<br />

approach to determining an economic system, and<br />

it has a pedigree stretching back to the time of<br />

Quesnay, who produced the first transactions table<br />

in 1758. The term general equilibrium means that<br />

the model encompasses all of the productive<br />

activities of the economy under study rather than<br />

just the tourism sectors. Models that are selective in<br />

terms of the productive sectors incorporated are<br />

known as partial equilibrium models and tend to<br />

yield significantly lower economic multiplier values.<br />

Although Quesnay's table could hardly be<br />

described as an operational input±output analysis,<br />

it did focus attention upon the industrial interdependencies<br />

that exist within an economy. The<br />

construction of a model that determined multiplier<br />

values was left until Leontief developed an input±<br />

output of the United States economy using 1930s<br />

data. The major issue relating to input±output<br />

analysis is the manner in which the economy is<br />

aggregated into sectors in order to satisfy the<br />

assumptions of linear and homogeneous production<br />

functions, and to provide a level of aggregation<br />

that will be acceptable for the study of tourism's<br />

economic impact.<br />

The technique of input±output analysis may be<br />

considered in two separate stages. First there is the<br />

construction of an input±output table, similar in<br />

structure to that developed by Quesnay. This table,<br />

generally known as a transactions table, may be<br />

seen as being analogous to a set of national<br />

accounts except for the fact that attention is drawn<br />

to the transactions that take place between<br />

industries within the economy �intermediate sales<br />

and purchases) rather than final user transactions.<br />

Although this table is not a model, it provides a<br />

wealth of information to planners and policymakers<br />

because it highlights the economic structure<br />

of the destination. This table also shows the<br />

direct economic effects associated with any change<br />

in final demand. It further circumvents one of the<br />

constant problems surrounding the economics of<br />

tourism in that it allows the pattern of this spending<br />

to determine which sectors are included under the<br />

umbrella title of tourism. The table can be<br />

input±output analysis 311<br />

combined with other data to look at dependencies<br />

and possible supply bottlenecks where some<br />

industries may be working close to their full<br />

capacity.<br />

The second stage of the analysis involves the<br />

conversion of the table into an input±output model.<br />

This action requires the normalisation of the table,<br />

by dividing the value contained in each cell by the<br />

corresponding column total. This process results in<br />

a table of coefficients where the vertical columns<br />

show the production functions of each industry and<br />

if each column is summed it will yield a total of<br />

one. This coefficients table is then subject to the<br />

Leontief inversion routine, which allows the<br />

calculation of the indirect and induced economic<br />

impacts associated with any change in final<br />

demand. The model, because it is a general<br />

equilibrium model, can be used to calculate the<br />

economic impact of any change in final demand<br />

not only in tourism, although the models tend to be<br />

built in order to calculate the economic effects<br />

associated with a specific type of final demand.<br />

Input±output analysis results in the calculation of a<br />

variety of economic multiplier vales. These include<br />

the direct, indirect and induced multipliers relating<br />

to income, employment and government revenue<br />

output, as well as estimating the import<br />

requirements associated with any change in final<br />

demand.<br />

This method of analysis is not without its<br />

limitations and weaknesses. For instance, because<br />

the model is general equilibrium in nature, it<br />

requires detailed information relating to the<br />

expenditures made by businesses in all of the<br />

productive sectors of the economy, not just the<br />

tourism-related sectors. This can make the construction<br />

of the input±output table an expensive<br />

exercise both in terms of time and resources. The<br />

data requirements are extensive and generally<br />

require the implementation of specific business<br />

expenditure surveys in order to determine the<br />

patterns of intermediate purchases. Furthermore, a<br />

variety of assumptions are necessary in order to<br />

accept the results of input±output analyses. These<br />

include that all of the businesses aggregated under<br />

the heading of a single productive sector are<br />

producing their output in an identical manner �i.e.<br />

that production functions are homogeneous). It<br />

also requires the assumption that the production

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