The standard approach to theย Environmental Kuznets Curveย (EKC) holds that as a country develops and GDP per capita grows environmental degradation initially increases but eventually it reaches a turning point where environmental degradation begins to decline. Environmental degradation takes many forms, one of them being emissions of harmful gases. According to the EKC concept, a country can reduce emissions by โ€˜growingโ€™. The standard approach implicitly assumes that a country emits as little as possible for its economic development, whereas in reality, a country might emit above the best attainable level of emissions. Therefore, emissions could be reduced before and after the turning point by becoming more environmentally efficient โ€“ i.e., โ€˜improvingโ€™ the emissions level. This article proposes a Stochastic Environmental Kuznets Frontier (SEKF) which is estimated for CO2ย emissions forย OECDย countries and used to benchmark each country before and after the turning point differently, thus, indicating how a country could โ€˜growโ€™ and/or โ€˜improveโ€™ to reduce its CO2ย emissions. Additionally, we analyse the role of the stringency ofย environmental policiesย in reducing a country’s carbon inefficiency measured by the distance from the benchmark EKC and find widespread carbon inefficiencies that could be reduced by more stringent market-basedย environmental policies.