Annex I and non-Annex I countries’productive performance revisited using a generalized directional distance function under a metafrontier framework: Is there any convergence-divergence pattern for technology gaps?

Countries rapid economic growth, energy consumption and anthropogenic emissions (GHGs) in the atmosphere are creating serious environmental problem on both global and local scales -. This is while compiled evidence about the relationship between climate change/global warming and the amount of GHG released is present (IEA, 2010). In advance, it is generally accepted that countries production processes, should seriously, take into account environmental sustainability principles and targets. In recent years, there have been a series of studies using a directional distance function dealing with environmental efficiency with the aim of measuring the ability of decision making units (i.e regions, firms, industries, countries) to produce more with less impact on the environment. A scarcity of empirical studies appears concerning the estimation of directional distance function under a metafrontier framework. In this paper we employ a balanced panel of 103 countries from 1995-2011 to shed light on the idiosyncratic performance of countries participating in two distinct different groups (Annex I and non-Annex I) using a generalized directional distance function independent of the direction vector length -. The non-parametric metafrontier framework - used in this study, as a first stage of analysis, is exploited to account for the heterogeneity between countries participating in our sample. In the second stage, a convergence-divergence hypothesis has been examined for the technology gaps estimated for each period. Our findings reveal significant patterns between countries’ individual performance