An almost ideal supply system estimate of US energy substitution

- A Linear Almost Ideal Supply System (LAISS) model examines US energy demand.
- Cross price elasticity estimates are derived for capital, labor, and energy.
- LAISS model results are compared to results from a translog cost function.

This paper introduces a Linear Almost Ideal Supply System (LAISS) model to examine aggregate US energy demand. Based on the Almost Ideal Demand System (AIDS) model, the LAISS model is a flexible functional form for imposing and testing properties of demand for the inputs of production. Own and cross price elasticities are derived for aggregate capital, labor, and energy, and compared to the translog cost function. Both models reduce to estimating a system of input share equations on input prices and output, with output normalized by the Stone's input price index in the LAISS model. Results indicate that all inputs are substitutes in both models, but elasticities differ. A log likelihood dominance criterion shows that the LAISS model dominates the translog cost function for this dataset. Results suggest that inputs are substitutes, and that an energy import tariff would increase demand for labor and capital.