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Policymakers are increasingly concerned about rebound effects, which lead to lower savings than expected when energy-efficiency increases. There are difficulties in making coherent comparisons between magnitudes of rebound effects in different sectors, such as home heating, industry and transport. A barrier to this in domestic heating is the conceptual difficulty of estimating rebound effects as energy-efficiency elasticities, since the large, stepwise increases in energy-efficiency through thermal retrofits fit uneasily with differential calculus. This paper offers a solution. Firstly, it develops a ‘cross-sectional’ method in which elasticity-based rebound formulae are used to estimate implied average rebound effects in large datasets of energy consumption and energy efficiency. It then shows how a simple power curve can model these datasets, simplifying the mathematics, giving ‘constant’ rebound effect results that are …