Analysis of the Eco-efficiency of Agriculture in Brazilian Municipalities: Based on the Stochastic-DEA Model

The analysis is based on data provided by the senso agropecuário (2017) - IBGE. In order to measure the eco-efficiency of the 5563 Brazilian municipalities. The variables involved in the analysis are: 𝑥1- Area of establishments (hectares), 𝑥2-Annual expenditure with fuels and lubricants (Thousand Reais), 𝑥3- Annual expenditure with inputs for plant and animal production (Thousand Reais), 𝑥4- Labor employed in the establishments (salaried and family) 𝑥5- Other expenses (Thousand Reais). 𝑦1- Annual gross revenue (Thousand reais) 𝑦2- Area of natural and planted woods and forests in the establishments (hectares) 𝑦3- Annual agricultural sector greenhouse gas emissions (tons GWP). 𝑦4- Diversity index of Shannon-Weaver, an undesirable output variable.