Measuring Productivity from Vertically Integrated Sectors

There are many ways to measure productivity. The choice will depend on the suitability of each index to the main purpose the researcher has in mind. Whenever we are interested in 'competitiveness', the proper measure will be the inverse of the total labour embodied in one unit of final product; or, what amounts to the same, the labour employed in the vertically integrated sector corresponding to each final good. A weighted mean of these yields an index of aggregate productivity suitable for measuring social welfare. Another index of aggregate productivity (this one related to the profit rate and potential growth) coincides with the inverse of the maximum eigenvalue of the 'socio-technical matrix'. These indices are computed for the Spanish economy and compared with more conventional ones.