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This paper examines the relationship between space heating energy efficiency and two related but distinct measures; greenhouse mitigation, and peak demand. The historic role of Melbourne's space heating provides an opportunity to assess whether improvements in energy efficiency lead to sustained reductions in energy consumption or whether rebound factors "take back" efficiency gains in the long run. Despite significant and sustained improvements in appliance efficiency, and the thermaldoi:10.3390/su4071525 fatcat:ag63l6fg7ndpdg4s2gxihzytly