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Farming technologies and food yields in Pakistan

                 Table 2. Descriptive statistics
                 Methods       CCY        AGRI        TEMP        CH       N O       PAT       FAR (% of    DAML
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                                                                             2
                             (tons per   (constant   (centigrade)  (metric   (metric  (number of  population)  (% of
                             hectare)   2015 USD)                 tons)    tons)    tractors)                GDP)
                 Mean        1983.552   7.64E+10      21.062     97.936   89.760   8.73E+12      74.673      0.291
                 Maximum     1429.200   7.76E+10      20.840     97.364   89.189   8.79E+12      75.173      0.292
                 Minimum     3564.900   7.76E+10      21.900     128.366  120.189  8.79E+12      91.943      0.632
                 Standard      840      6.31E+10      20.550     74.368   66.189   7.76E+12      58.959      0.164
                 deviation
                 Skewness    1129.717   3.58E+09       0.443     17.487   17.483   2.15E+11      9.527       0.131
                 Kurtosis      0.592      −2.734       0.526      0.121    0.121     −3.416      −0.023      0.554
                 Source: Author’s estimates.
                 Abbreviations: AGRI: Agriculture value-added; CH : Methane emissions; CCY: Cereal crop yield; DAML: Data analytics and machine
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                 learning; FAR: Farmer’s adoption rate; GDP: Gross domestic product; N O: Nitrous oxide emissions; PAT: Precision agriculture
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                 technology; TEMP: Temperature.
                  The average AGRI is 7.64E+10 units, ranging from   that these variables do not adhere to the random walk
                7.76E+10 to 7.76E+10 units. The standard deviation of   hypothesis, and their order of integration is zero, i.e., I(0)
                6.31E+10 shows the variability of AGRI across different   variables. On the other hand, the remaining variables are
                geographical regions and historical periods. Kurtosis of   first-difference  stationary,  following  the  random  walk
                −2.734 and skewness of 3.58E+09 imply a leptokurtic   hypothesis, and having an order of integration of one, i.e.,
                distribution  of the AGRI data.  TEMPs range from a   I(1) variables. The combination of I(0) and I(1) variables
                minimum of 21.900°C to a maximum of 20.840°C, with   provides a strong rationale for utilizing the ARDL bounds
                an average TEMP of around 21.062°C. The standard    testing approach for short-  and long-term parameter
                deviation  of 20.550 indicates  TEMP variation  across   estimates. Table 4 shows the lag length selection criteria.
                different time periods and regions. Skewness of 0.443   Based on the lag length  criterion  of the  Akaike
                and  kurtosis  of  0.526  suggest  a  somewhat  positively   information criterion, a lag length of 4 is deemed optimal
                skewed and relatively flat distribution of TEMP data.   for ARDL estimations. Similarly, the lag length criteria
                Agricultural  processes release methane  gas into  the   of  final  prediction  error  and  Hannan–Quinn  criterion
                atmosphere. Mean methane emissions in our dataset are   also indicate the same optimal lag length value, while
                97.936 units, with a maximum of 97.364 units and a   Schwarz criterion suggests the use of a third lag length.
                minimum of 128.366 units. The standard deviation of   Therefore, the study concluded that a lag length of 4 is
                74.368 shows variability in methane emissions across   optimal for ARDL estimation. Table 5 shows the ARDL
                different time periods and regions. Methane emissions   estimates for ready reference.
                data exhibit a positively  skewed distribution  with a   Dynamic factor interactions have major implications
                skewness of 17.487 and a relatively flat distribution with   for Pakistan’s agriculture policy and long-term survival.
                a  kurtosis  of 0.121. Agricultural  processes also  emit   The short- and long-term connections between AGRI
                N O gas into the atmosphere. Average N O emissions in   and CCY are negative.  This suggests agricultural
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                our dataset are 89.760 units, with a maximum of 89.189   inefficiency and misallocating land, labor, and capital,
                units and a minimum  of 120.189 units. The standard   which may explain why value addition does not always
                deviation  of 66.189 emissions indicates  variability  in   increase yields.  Inefficient input utilization, outdated
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                N O emissions across different time periods and regions.   farming  practices,  and  inadequate  infrastructure  are
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                Skewness of 17.483 and kurtosis of 0.121 illustrate a   plausible factors. Intensive farming may also decrease
                positively skewed and relatively flat distribution of the   soil fertility and diminish agricultural production due
                N O emissions data. The mean value of PAT in terms   to water management  concerns and pesticide  and
                 2
                of number of tractors is 8.73E+12. The nation’s GDP   fertilizer  overuse.  These  findings  highlight  systemic
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                is 0.291% of the data analytics. Table 3 shows the unit   industry concerns, including infrastructure, extension,
                root estimates for ready reference.                 and agricultural  R&D underfunding.  These systemic
                  According to the unit root test results, AGRI, CH ,   inefficiencies  must  be  addressed  to  boost  agricultural
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                N O, and PAT are level-stationary variables, confirming   output and growth. 50
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                Volume 22 Issue 3 (2025)                       111                           doi: 10.36922/AJWEP025130096
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