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Economists use labour and capital as the primary factors of production in income approach to output calcluation. Both labour and capital are reproducible factors. I can compute labour and capital cost shares (i.e.$\frac{\text{Total Wages}}{GDP}$ and $\frac{\text{return on capital}}{GDP}$) in national income.

I am interested in estimating energy cost share in GDP. Considering that energy is treated as an intermediate input that is used up in production, can I still estimate cost share of energy in GDP i.e. $\frac{\text{energy expenditure}}{GDP}$? in other words, can I treat energy as a factor of production and compute its cost share without adding back energy expenditure to GDP?

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