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Explora: Environment
            and Resource                                                  Evaluating agricultural efficiency and sustainability



            the corresponding decision cell yields a corresponding   crops harvested in the current year and excluding the area
            efficiency value that does not exceed one.         of crops harvested in the following year. 21
            3.1.2. Robustness and applicability discussion       Effective irrigated area is a critical metric that reflects the
                                                               construction of China’s agricultural water conservancy.
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            The characteristics of the data distribution may influence   It  is  the  area  of  arable  land  that  is  equipped  with  water
            the efficacy of the DEA method in practice. The following   sources, uniform terrain, and irrigation facilities, allowing
            issues  should  be  taken  into  account  to  guarantee  the   for normal irrigation in normal years.
            veracity of the analysis:
            •   Normality  assumption:  To  guarantee  the  reliability   The  total  power  of  agricultural  machinery  is  the
               and stability of the assessment results, DEA models   aggregate of the designated power of all agricultural
               typically presume that the data distribution follows a   machinery, which is categorized as diesel engine power,
               normal distribution. In the event that the data exhibit   petrol  engine  power,  electric  motor  power,  and  other
               a substantial deviation from the normal distribution,   mechanical power based on the source of energy. 23
               data transformation or other robustness methods may   The entire reservoir capacity is the entire scale of
               be implemented.                                 reservoir construction, which is determined by the
            •   Collinearity issue: The efficiency measurement may be   aggregate of dead storage capacity, booster capacity, and
               distorted if there is a significant covariance between   flood transfer capacity (excluding the duplicated portion
               the input and output variables. Consequently, to   with booster capacity). 24
               enhance the model’s accuracy, it is imperative to
               identify and eradicate any significant covariance.  The unadulterated quantity of agricultural fertilizer
            •   Robustness analyses: To guarantee that the model’s   application is the total amount of fertilizer used in agricultural
               results are not substantially influenced by fluctuations   production during the present year, which includes nitrogen,
               in the data, robustness tests are implemented by   phosphorus, potash, and compound fertilizers. 25
               altering various assumptions regarding the data (e.g.,   3.2.2. Indicators of output
               sample size or minor fluctuations in indicator values).
                                                               The total output value of agriculture, forestry, animal
              The aforementioned methodology guarantees that   husbandry, and fisheries is the monetary value of all
            the DEA-BCC model is applied accurately to measure   products of agriculture, forestry, animal husbandry, and
            the  efficacy  of  agricultural  production  and  to  provide   fisheries, as well as related supportive service activities.
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            dependable analyses.                               This value reflects the total scale of production over a
            3.2. Variable selection and data sources           specific period.
            The input indicators in this paper consist of land inputs,   Value added by agriculture, forestry, animal husbandry,
            machinery,  and  water  inputs,  and  fertilizer inputs.   and fisheries refers to the contribution of these sectors
            Indicators of land input encompass the total sown area   over a specified period. It is a component of GDP and is
            of crops and the effective irrigated area. Indicators of   determined by subtracting  intermediate inputs;  the cost
            machinery  and  water  input  encompass  the  total  power   of intermediate goods and services used in the production
            of  agricultural  machinery  and  the  total  capacity  of   process from the total value of the output. 27
            reservoirs. Indicators of fertilizer input encompass   Food production refers to the aggregate quantity of
            the pure amount of agricultural fertilizer deployed.   food produced by an agricultural producer in a calendar
            The output indicators include the value of agricultural   year, which encompasses cereals, potatoes, and pulses,
            output and crop production, specifically the aggregate   categorized by crop variety and harvest season. 28
            value of  agricultural, forestry,  animal husbandry, and
            fishery  output,  the  value  added  by  agriculture,  forestry,   Fruit production refers to the quantity of fresh fruits
            animal husbandry, and fishery, as well as cereal and fruit   produced by an agricultural producer during a calendar
            production. The pertinent experimental data of the input   year, excluding untamed fruits, including trees, vines,
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            and output indicators are illustrated in Tables 1 and 2.  perennial vegetative fruits, and fruiting melons.
            3.2.1. Indicators of input                         4. Empirical studies of the effects of
                                                               implementation
            The total sown area of crops is the total area of sown
            or transplanted crops on all land (cultivated or non-  The BCC model with variable returns to scale (VRS) is
            cultivated) that should be harvested by the agricultural   used  to investigate the agricultural efficiency evaluation
            producer in the calendar year, including the sown area of   problem in Shaanxi Province from the perspective


            Volume 2 Issue 1 (2025)                         6                                doi: 10.36922/eer.5129
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