The energy rebound effect in households: Evidence from urban and rural areas in Beijing

•Urban and rural energy rebound effects in Beijing are studied by LA-AIDS model.•Energy rebound from substitution and income effects is decomposed by Slutsky equation.•Energy rebound effect of rural residents exceeded that of urban residents after 2010.•The income effect is the main source of the energy rebound effect in Beijing.•Energy rebound caused by various commodity groups presents obvious heterogeneity.