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:
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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.

本分析依托巴西地理与统计研究所（IBGE）2017年发布的农业普查（senso agropecuário）数据，针对巴西5563个市镇的农业生态效率展开测算。本次分析涉及的变量如下：
x₁：农业经营单位占地面积（公顷）
x₂：年度燃料与润滑油支出（千雷亚尔）
x₃：年度农畜生产投入物资支出（千雷亚尔）
x₄：经营单位雇佣劳动力（含受薪雇员与家庭劳动力）
x₅：其他支出（千雷亚尔）
y₁：年度农业总营收（千雷亚尔）
y₂：经营单位内天然林与人工林面积（公顷）
y₃：农业部门年度温室气体排放量（全球变暖潜势吨，GWP）
y₄：香农-威弗多样性指数（Shannon-Weaver），属于非期望产出变量。