Directional Output Distance Function Research Articles

Productivity Growth and Pollution in State Manufacturing

The directional output distance function (Chambers, Chung, & Fare, 1996) is used to construct a Malmquist-Luenberger index of total factor productivity growth for manufacturing when both good and bad outputs are jointly produced. The index is constructed using information on good and bad output quantities and input quantities, circumventing the problem of recovering shadow price information for the bad output needed for the Fisher or Tornqvist type of productivity indices. Accounting for toxic releases in manufacturing, productivity growth averages 1.4% an-nually during 1988–1994. The findings also suggest that the failure to account for toxic releases in manufacturing results in a significant under-statement of total factor productivity growth.

Impacts of environmental regulations on the efficiency of arable farms in France and Germany

Summary This paper develops a methodology for asymmetric treatment of desirable and undesirable outputs. First, a hyperbolic output efficiency measurement is used to describe a middle term transformation of production processes where producers try to improve their competitiveness together with a reduction of the negative impact on the environment. Second, a radial efficiency measurement, called directional output distance function, is used to depict a long-term transformation of the production process. A non-parametric Data Envelopment Analysis (DEA) and a Stochastic Frontier Analysis (SFA) are used to evaluate the impact of agricultural policy changes, both in France and Germany, on the technical and environmental efficiency of arable farms, taking into account participation or not in agri-environmental programs. The results from both methods indicate only limited possibilities for environmental improvements, mainly for farms participating in agri-environmental programs.