Agriculture’s Efficiency in the Context of Sustainable Agriculture—A Benchmarking Analysis of Financial Performance with Data Envelopment Analysis and Malmquist Index
<p>Diagram of operationalization of potential operational efficiency. Source: authors projection.</p> "> Figure 2
<p>Evolution in time of financial ratios. Source: authors’ projection with SPSS.</p> "> Figure 3
<p>Representation of firms on the two PCA dimensions estimated. Source: authors’ projection with SPSS.</p> "> Figure 4
<p>Representation of DMUs based on their efficiency score benchmarking. Source: authors’ projection with DEA R-Shyne.</p> "> Figure 5
<p>Evolution in time of efficiency score. Source: authors’ projection.</p> "> Figure 6
<p>Evolution in time of Total Factor Productivity. Source: authors’ projection.</p> ">
Abstract
:1. Introduction
2. Literature Review
2.1. The Concept of Agricultural Sustainability
2.2. The Concept of Financial Agricultural Sustainability
3. Materials and Methods
3.1. Data and Variables Description
3.2. Data Envelopment Analysis (DEA)
3.3. Mathematical Model
3.4. Malmquist Index Analysis
4. Results
4.1. Descriptive Statistics
4.2. Correlation Analysis
4.3. Dispersion Analysis
5. Discussion
5.1. Analysis of Firm’s Efficiency
5.2. Dynamics of Efficiency Drivers
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Name | Description | Source |
---|---|---|
Raw data | ||
Plant, property, equipment (PPE) | Represent the value of tangible assets from the balance-sheet statement, including vehicles, machinery, buildings, and land. This metric is essential to reflect the technical capabilities firms operating in agriculture have in property, as firms leasing such properties lead to higher levels of expenses and lower overall profitability ratios. | Orbis database |
Net working capital | It is the net working capital firms use during the operational cycles of their activities, determined as the difference between current assets and current liabilities. This financial measure reflects a firm’s level of liquidity, which allows firms to fund their current operations, providing an indication of firms’ operational efficiency. | Orbis database |
Debt | The measure shows the levels of debt reported on the balance sheet statements of the firms analyzed in the study. It is a relevant measure, providing an indication of a firm’s financing strategy and how capable a firm is of funding its own operations. Higher external financing would lead to lower firm profitability and higher dependency on financial institutions, with limitations on decision-making freedom, based on various targets established under various debt covenants. | Orbis database |
Employee | The measure refers to the number of full-time employees of a firm operating in agriculture. As noted above, human capital represents a key driver of a firm’s efficiency, as long as employees have sufficient capabilities to use and create innovative tools to improve labor productivity. Therefore, this is an indirect measure of the potential of human capital. | Orbis database |
Operating profit | The metric suggests relevant information on the absolute level of firms’ operational efficiency, determined as the difference between operating revenue and operating expenses. | Orbis database |
Operating cash-flow | Compared with the measure of operating profit, the level of operating cash-flow is essential, providing an indication of a firm’s business model to generate cash-flow, which is essential for short-term financing operations and for a firm’s valuation. A higher level in this indicator shows greater freedom for firms to optimize their short-term operations, including the acquisition of raw materials, taking advantage of investment opportunities, etc. | Orbis database |
Operating revenue | This measure is the level of revenue gained along its current operations, which is a relevant indication of the levels of activity the firms analyzed had during the period of analysis. Sustainable agriculture should be achieved rather through firms’ current operations along the entire agri-food supply chains, which is why we have excluded the measures of financial results reported by the firms analyzed in the study. | Orbis database |
DEA input variables | ||
PPE efficiency (PPE) | It is the ratio of PPE deflated by operating revenue, which gives indication of firms’ technical efficiencies. | Calculated |
Capital efficiency (WC) | It is the ratio of net working capital deflated by operating revenue, which gives an indication of firms’ operational efficiencies, from the perspective of resources affected in the current operations. | Calculated |
Employee productivity (EM) | It is the ratio of number of employees deflated by operating revenue, which gives indication of a firm’s operational productivity. | Calculated |
DEA output variables | ||
Current ratio (CR) | It is the financial ratio that provides indications of a firm’s liquidity, which allows us to measure indirectly a firm’s operational efficiency. It is determined by deflating the value of net working capital with the value of operating revenue. | Calculated |
Solvency ratio (SR) | It is the measure of debt, deflated by the level of operating revenue, which shows the degree firms are capable to cover their loans with the results generated by current operations. | Calculated |
Profit margin (PR) | It is the measure of operating profit, deflated by the level of operating revenue, which shows the level of a firm’s relative operational efficiency. | Calculated |
Cash margin (ChR) | It is the measure of operating cash-flow, deflated by the level of operating revenue, which shows the level of a firm’s relative operational efficiency, in terms of highest liquidity. | Calculated |
Financial Ratio | Mean | Median | St. dev. | Min. | Max. | Quartiles | |
---|---|---|---|---|---|---|---|
1st | 3rd | ||||||
Solvency | 1.467 | 1.460 | 0.307 | 0.376 | 1.992 | 1.236 | 1.696 |
Profit | 1.166 | 1.132 | 0.229 | 0.108 | 1.960 | 1.035 | 1.304 |
Cash-flow | 1.280 | 1.275 | 0.206 | 0.440 | 1.953 | 1.130 | 1.414 |
Fixed assets | 1.013 | 1.007 | 0.024 | 1.000 | 1.201 | 1.004 | 1.012 |
Working capital | 1.005 | 1.002 | 0.011 | 0.988 | 1.077 | 1.000 | 1.006 |
Labor productivity | 1.282 | 1.040 | 1.384 | 1.010 | 12.16 | 1.020 | 1.088 |
Solvency Ratio | Profit Margin | Cash-Flow | Fixed Assets | Working Capital | Labor Productivity | |
---|---|---|---|---|---|---|
Solvency ratio | 1 | 0.461 ** | 0.376 ** | 0.201 ** | 0.353 ** | 0.062 |
Profit margin | 0.461 ** | 1 | 0.874 ** | −0.009 | 0.086 | −0.113 |
Cash-flow | 0.376 ** | 0.874 ** | 1 | 0.081 | 0.040 | −0.195 ** |
Fixed assets | 0.201 ** | −0.009 | 0.081 | 1 | 0.212 ** | −0.066 |
Working capital | 0.353 ** | 0.086 | 0.040 | 0.212 ** | 1 | −0.058 |
Employee | 0.062 | −0.113 | −0.195 ** | −0.066 | −0.058 | 1 |
Effect | Value | F | Df | Sig. | Partial Eta Squared | Observed Powered |
---|---|---|---|---|---|---|
Intercept | 0.140 | 14671.0 | 3 | 0.000 | 0.140 | 1.000 |
PPE | 0.078 | 7661.0 | 3 | 0.000 | 0.078 | 0.987 |
WC | 0.121 | 12441.0 | 3 | 0.000 | 0.121 | 1.000 |
Employee | 0.075 | 7276.0 | 3 | 0.000 | 0.075 | 0.983 |
Year | 0.061 | 1.410 | 12 | 0.155 | 0.020 | 0.781 |
Input Ratio | Output Ratio | Type III Sum of Squares | Df | Mean Square | F | Sig. | Partial Eta Squared | Observed Powered |
---|---|---|---|---|---|---|---|---|
Aggregate | Solvency | 4.351 | 7 | 0.622 | 7.709 | 0.000 | 0.166 | 1.000 |
Profit | 0.596 | 7 | 0.085 | 1.645 | 0.123 | 0.041 | 0.675 | |
Cash-flow | 0.633 | 7 | 0.090 | 2.199 | 0.035 | 0.054 | 0.821 | |
PPE | Solvency | 0.511 | 1 | 0.511 | 6.342 | 0.012 | 0.023 | 0.709 |
Profit | 0.014 | 1 | 0.014 | 0.269 | 0.604 | 0.001 | 0.081 | |
Cash-flow | 0.055 | 1 | 0.055 | 1.327 | 0.250 | 0.005 | 0.209 | |
Working capital | Leverage | 2.563 | 1 | 2.563 | 31.786 | 0.000 | 0.105 | 1.000 |
Profit | 0.104 | 1 | 0.104 | 2.018 | 0.157 | 0.007 | 0.293 | |
Cash-flow | 0.002 | 1 | 0.002 | 0.052 | 0.820 | 0.000 | 0.056 | |
Employee | Leverage | 0.217 | 1 | 0.217 | 2.695 | 0.102 | 0.010 | 0.373 |
Profit | 0.177 | 1 | 0.177 | 3.419 | 0.066 | 0.012 | 0.453 | |
Cash-flow | 0.422 | 1 | 0.422 | 10.262 | 0.002 | 0.036 | 0.891 | |
Year | Leverage | 0.426 | 4 | 0.106 | 1.320 | 0.263 | 0.019 | 0.410 |
Profit | 0.298 | 4 | 0.075 | 1.442 | 0.220 | 0.021 | 0.446 | |
Cash-flow | 0.125 | 4 | 0.031 | 0.758 | 0.554 | 0.011 | 0.243 |
Financial Ratio | Pre-Pandemic Period | COVID-19 Pandemic | Post Pandemic Period | |||
---|---|---|---|---|---|---|
2017 | 2018 | 2019 | 2020 | 2021 | ||
Slack on | Fixed assets | 0.638 | 0.331 | 0.149 | 0.406 | 0.309 |
Labor productivity | 24.35 | 5.468 | 7.065 | 4.428 | 4.845 | |
Working capital | 0.498 | 0.115 | 0.280 | 0.421 | 0.609 | |
Number of efficient DMUs | 15 | 18 | 14 | 17 | 15 | |
% of efficient DMUs | 25.86% | 31.03% | 24.14% | 29.31% | 25.86% | |
Efficiency score | Mean | 2.026 | 2.350 | 1.605 | 1.827 | 2.019 |
St. dev. | 3.528 | 6.407 | 0.775 | 1.245 | 4.241 | |
25th percentile | 1.000 | 1.000 | 1.002 | 1.000 | 1.000 | |
50th percentile | 1.484 | 1.209 | 1.297 | 1.497 | 1.228 | |
75th percentile | 1.911 | 1.784 | 1.768 | 1.979 | 1.688 | |
90th percentile | 2.569 | 2.671 | 2.720 | 3.317 | 2.374 | |
95th percentile | 3.236 | 3.469 | 3.040 | 4.638 | 3.096 | |
Top DMU | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | |
Bottom DMU (max.) | 27.60 | 49.19 | 5.034 | 7.043 | 32.91 | |
Fixed assets | Top DMU | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
Bottom DMU | 5.64 | 3.01 | 0.00 | 15.80 | 11.49 | |
Labor productivity | Top DMU | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
Bottom DMU | 0.00 | 0.00 | 2.88 | 1.00 | 1.00 | |
Working capital | Top DMU | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
Bottom DMU | 0.20 | 0.00 | 0.00 | 0.00 | 2.18 | |
Profit margin | Top DMU | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
Bottom DMU | 871.8 | 563.3 | 11.23 | 165.97 | 1342.1 | |
Cash-flow | Top DMU | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
Bottom DMU | 529.3 | 68.41 | 0.00 | 0.00 | 274.3 | |
Leverage | Top DMU | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
Bottom DMU | 0.00 | 0.00 | 0.00 | 52.65 | 0.00 |
Mean | Quartile | ||||
---|---|---|---|---|---|
1st | 2nd | 3rd | |||
Input ratios | Slack PPE | 0.290 | 0.000 | 0.000 | 0.000 |
Slack WC | 0.398 | 0.000 | 0.000 | 0.323 | |
Slack Labor Productivity | 18.66 | 0.000 | 0.000 | 3.308 | |
Output ratios | Slack Solvency | 1.693 | 0.000 | 0.000 | 0.000 |
Slack Profit | 17.35 | 0.000 | 0.000 | 7.836 | |
Slack Cashflow | 8.839 | 0.000 | 0.000 | 3.410 |
Period | Technological Efficiency Change | Technical Efficiency Change | Pure Efficiency Change | Scale Efficiency Change | Total Factor Productivity Change |
---|---|---|---|---|---|
2017–2018 | 0.933 | 1.039 | 0.957 | 0.975 | 0.969 |
2018–2019 | 1.012 | 0.992 | 1.024 | 0.989 | 1.004 |
2019–2020 | 1.010 | 0.983 | 0.990 | 1.019 | 0.993 |
2020–2021 | 1.017 | 0.988 | 0.970 | 1.049 | 1.005 |
Mean | 0.992 | 1.000 | 0.985 | 1.008 | 0.993 |
Firm ID | Factor Productivity Change | Technological Efficiency Change | Technical Efficiency Change | Pure Efficiency Change | Scale Efficiency Change |
---|---|---|---|---|---|
37 | 1.072 | 1.063 | 1.009 | 1.000 | 1.063 |
41 | 1.060 | 1.047 | 1.012 | 1.024 | 1.023 |
53 | 1.059 | 1.057 | 1.002 | 1.038 | 1.018 |
3 | 1.058 | 1.048 | 1.010 | 1.024 | 1.023 |
33 | 1.050 | 1.047 | 1.003 | 1.032 | 1.014 |
14 | 1.049 | 1.032 | 1.017 | 1.004 | 1.028 |
27 | 1.038 | 1.029 | 1.009 | 1.026 | 1.003 |
25 | 1.034 | 1.022 | 1.012 | 1.000 | 1.022 |
54 | 1.034 | 1.017 | 1.016 | 1.002 | 1.015 |
7 | 1.024 | 1.027 | 0.997 | 1.009 | 1.018 |
36 | 1.023 | 1.013 | 1.010 | 0.916 | 1.106 |
47 | 1.020 | 1.011 | 1.009 | 0.961 | 1.052 |
32 | 1.017 | 1.020 | 0.997 | 1.021 | 0.999 |
42 | 1.016 | 1.018 | 0.998 | 0.974 | 1.046 |
4 | 1.011 | 1.014 | 0.998 | 0.990 | 1.024 |
15 | 1.010 | 0.997 | 1.014 | 0.963 | 1.034 |
52 | 1.010 | 1.008 | 1.003 | 1.006 | 1.002 |
24 | 1.009 | 1.013 | 0.995 | 0.997 | 1.017 |
40 | 1.009 | 1.014 | 0.995 | 0.989 | 1.024 |
16 | 1.008 | 1.010 | 0.999 | 0.997 | 1.013 |
8 | 1.007 | 0.999 | 1.008 | 0.967 | 1.033 |
13 | 1.005 | 1.006 | 0.999 | 1.000 | 1.006 |
9 | 1.004 | 0.994 | 1.010 | 0.979 | 1.016 |
56 | 1.002 | 1.003 | 0.999 | 1.003 | 1.001 |
12 | 1.000 | 1.003 | 0.996 | 1.000 | 1.003 |
5 | 0.999 | 1.000 | 0.999 | 1.000 | 1.000 |
19 | 0.999 | 1.003 | 0.997 | 0.993 | 1.009 |
46 | 0.999 | 1.008 | 0.991 | 1.108 | 0.910 |
28 | 0.995 | 0.999 | 0.996 | 0.980 | 1.019 |
51 | 0.993 | 1.004 | 0.989 | 0.970 | 1.035 |
6 | 0.991 | 0.983 | 1.008 | 1.021 | 0.963 |
21 | 0.991 | 0.990 | 1.001 | 1.000 | 0.990 |
17 | 0.986 | 0.988 | 0.998 | 0.958 | 1.031 |
23 | 0.986 | 0.989 | 0.997 | 0.990 | 0.999 |
39 | 0.986 | 0.989 | 0.997 | 0.982 | 1.007 |
48 | 0.985 | 1.000 | 0.985 | 1.000 | 1.000 |
10 | 0.983 | 1.001 | 0.982 | 1.021 | 0.981 |
38 | 0.983 | 0.978 | 1.006 | 0.965 | 1.014 |
22 | 0.980 | 0.981 | 0.999 | 0.988 | 0.992 |
50 | 0.980 | 0.985 | 0.996 | 0.993 | 0.992 |
30 | 0.979 | 0.982 | 0.997 | 0.988 | 0.994 |
49 | 0.977 | 0.982 | 0.995 | 0.975 | 1.007 |
55 | 0.975 | 0.980 | 0.995 | 0.961 | 1.020 |
18 | 0.974 | 0.996 | 0.978 | 0.996 | 1.000 |
35 | 0.969 | 0.974 | 0.995 | 0.997 | 0.977 |
20 | 0.965 | 0.968 | 0.998 | 0.972 | 0.996 |
11 | 0.961 | 0.968 | 0.993 | 0.973 | 0.995 |
1 | 0.960 | 0.965 | 0.994 | 0.947 | 1.019 |
29 | 0.959 | 0.961 | 0.998 | 1.015 | 0.946 |
31 | 0.958 | 0.963 | 0.995 | 0.942 | 1.022 |
2 | 0.953 | 0.942 | 1.012 | 0.936 | 1.006 |
45 | 0.951 | 0.953 | 0.999 | 0.939 | 1.015 |
26 | 0.941 | 0.925 | 1.017 | 0.923 | 1.002 |
43 | 0.916 | 0.913 | 1.004 | 0.897 | 1.017 |
34 | 0.899 | 0.894 | 1.006 | 1.000 | 0.894 |
44 | 0.832 | 0.843 | 0.987 | 0.843 | 1.000 |
Number of DMUs with Changes on Efficiency | Technological Efficiency Change | Technical Efficiency Change | Pure Efficiency Change | Scale Efficiency Change | Factor Productivity Change |
---|---|---|---|---|---|
DMUs with % ↓ | 28 | 34 | 33 | 14 | 31 |
DMUs with % ↑ | 26 | 22 | 15 | 38 | 24 |
DMUs without change | 2 | 0 | 8 | 4 | 1 |
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Bobitan, N.; Dumitrescu, D.; Burca, V. Agriculture’s Efficiency in the Context of Sustainable Agriculture—A Benchmarking Analysis of Financial Performance with Data Envelopment Analysis and Malmquist Index. Sustainability 2023, 15, 12169. https://doi.org/10.3390/su151612169
Bobitan N, Dumitrescu D, Burca V. Agriculture’s Efficiency in the Context of Sustainable Agriculture—A Benchmarking Analysis of Financial Performance with Data Envelopment Analysis and Malmquist Index. Sustainability. 2023; 15(16):12169. https://doi.org/10.3390/su151612169
Chicago/Turabian StyleBobitan, Nicolae, Diana Dumitrescu, and Valentin Burca. 2023. "Agriculture’s Efficiency in the Context of Sustainable Agriculture—A Benchmarking Analysis of Financial Performance with Data Envelopment Analysis and Malmquist Index" Sustainability 15, no. 16: 12169. https://doi.org/10.3390/su151612169
APA StyleBobitan, N., Dumitrescu, D., & Burca, V. (2023). Agriculture’s Efficiency in the Context of Sustainable Agriculture—A Benchmarking Analysis of Financial Performance with Data Envelopment Analysis and Malmquist Index. Sustainability, 15(16), 12169. https://doi.org/10.3390/su151612169