Economic Evaluation of Drought Resistance Measures for Maize Seed Production Based on TOPSIS Model and Combination Weighting Optimization
Abstract
:1. Introduction
2. Materials and Methods
2.1. Description of the Experimental Site
2.2. Experimental Design and Field Management
2.3. Measurements and Calculations
2.3.1. Soil Moisture Content
2.3.2. Plant Yield
2.3.3. Water Consumption and Water Use Efficiency
2.3.4. Quality
2.3.5. Determination of Weights
- (1)
- Establishment of the declining hierarchical structure. The relationship and affiliating among every factors were divided into multiple levels, including criterion layer, target layer, and scheme layer, according to the different characteristics of factors.
- (2)
- Construction of pairwise judgment matrix. Pairwise comparison of factors in the criterion layer was carried out to construct a pairwise comparison matrix among factors, and a nine-point scale method was adopted (Table 2). Then, a pairwise comparison judgment matrix was formed from the quantization results .
- (3)
- Calculation of the relative weight of the factors. The relative weight of the factors was calculated by the judgment matrix, and the weight of all the elements in this layer in the upper layer was calculated and further synthesized by the calculation results of the weight of a single layer. By weight sorting, the optimal scheme was selected and the consistency of the judgment matrix was tested to ensure the scientific and reliable calculation.
Scaling | Meaning |
---|---|
1 | Equally important |
3 | Slightly important |
5 | Obviously important |
7 | Strongly important |
9 | Extremely important |
2, 4, 6, 8 | The median of the above two adjacent judgments |
reciprocal | A is compared to B if the scale is 3, then B is 1/3 compared to A |
- a.
- Arithmetic average method
- b.
- Geometric average method
- c.
- Feature vector method
- a.
- Calculation of consistency indicators :
- b.
- Calculation of the corresponding average random consistency index (RI) (Table 3).
- c.
- Calculation of consistency ratio :
- (1)
- The indexes to be calculated are formed into a numerical matrix to judge whether there is a negative number in the input matrix. If so, it should be re-normalized to a non-negative range to ensure that every element is a non-negative number to form a positive matrix .
- (2)
- The non-negative matrix Z is obtained through normalization, and the proportion of the ith sample in the jth index is calculated, which is regarded as the probability used in relative entropy calculation:
- (3)
- Calculations of the information entropy of each indicator, the information utility value, and the entropy weight of each indicator through normalization were conducted as follows:
- (a)
- Use different weighting methods (L kinds) to weight the participating indicators and construct the basic weight vector set.
- (b)
- Construction of the linear combination q of weight vectors. The linear combination of the above L vectors is:
- (c)
- where u is the weight set after linear combination, and is the coefficient of linear combination. In order to minimize the deviation with each, the equilibrium idea of GT is used to optimize , i.e.,
- (d)
- After obtaining the optimal linear combination coefficient according to Equation (19), it is processed with the improved normalization formula [34], i.e.,
- (e)
- By applying GT, the comprehensive weight vector is obtained by combining AHP and EWM:
2.4. TOPSIS Model Evaluation Method
- (1)
- Construct the weighted evaluation matrix.
- (2)
- Determine positive and negative ideal solutions.First, the weighting matrix was forward—that is, the benefit index—and then the matrix was obtained by normalizing and removing the dimension. Finally, the positive ideal solution set was formed by the maximum value of each participating index in the scheme, and the negative ideal solution set was formed by the minimum value.
- (3)
- Calculate Euclidean distance.For each evaluation scheme, the distance to the positive ideal solution and the distance to the negative ideal solution were calculated as follows:
- (4)
- Calculate the comprehensive score.According to Equation (25), the proximity Si of each scheme to the optimal scheme was first calculated, and then the comprehensive score of each evaluation scheme was obtained after normalization according to Equation (26):
2.5. Statistics Analysis
3. Results
3.1. Selection of Evaluation Indicators
3.2. Determination of the Weight of Indices in the Evaluation System
3.2.1. The Analytic Hierarchy Process
- (1)
- Establishment of a hierarchy.In order to find suitable drought resistance measures for maize seed production in northwest China, the evaluation index system was constructed considering the concepts of yield, water use efficiency, quality, and economic benefits and the principles of scientific, representativeness, and consistency. In addition, an index decomposition was conducted to the four dimensions that were needed in the study of drought resistance measures. The comprehensive hierarchical evaluation model was constructed by using the principle of the analytic hierarchy process (Figure 1).
- (2)
- Construction of a judgment matrix.The weight was calculated by constructing the judgment matrix according to the 1–9 ratio scale method (Table 5).
- (3)
- Calculation of the subjective weights using the judgment matrix (wsj).In order to ensure the rationality of the results, the arithmetic average method, geometric average method, and feature vector method were adopted in this study to calculate the weights.
3.2.2. Entropy Weight Method
3.2.3. Combination Weights
3.3. Integrated Evaluation Model Based on the Improved TOPSIS Method
3.4. Results Analysis
4. Discussion
4.1. Analysis and Evaluation of Measured Values Based on Indicators
4.2. CW of Evaluation Indicators
4.3. Comprehensive Evaluation Results of Drought Resistance Measures
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Number | Treatment | Description of Treatments |
---|---|---|
SA | water retention agents | Forestry water retention agent (long-term) was selected from Gansu Hai Ruida Ecological Environmental Science and Technology Co., Ltd. Lanzhou, CN. The arable layer soil was turned over 30 cm before sowing and mixed with seed manure of 45.0 kg/ha and depth of 10–15 cm. Then, the drip irrigation belt was paved. Planter dibbling was used to sow female seeds first, and male seeds were sown in different stages. |
WF | white mulching film | The arable layer soil was turned over 30 cm before sowing. Enough fertilizer was applied, and the drip irrigation belt was paved. A 120 cm wide white mulch film was used to cover, purchased from Shanxi Dongqing Agricultural Film Co., Ltd. Datong City, CN.No space was left between the films, and the films overlapped each other by about 5 cm. Soil was compacted at the interface. Planter dibbling was used to sow female seeds first, and male seeds were sown in different stages. |
BF | black mulching film | Soil preparation, fertilizing, and drip irrigation belt pavement were the same as the WF treatment before covering the ground. A 120 cm wide black mulch film was used to cover, purchased from Shanxi Dongqing Agricultural Film Co., Ltd. No space was left between the films, and the films overlapped each other by about 5 cm. Soil was compacted at the interface. Planter dibbling was used to sow female seeds first, and male seeds were sown in different stages. |
SM | straw mulching | Soil preparation, fertilizing, and drip irrigation belt pavement were the same as the WF treatment before covering the ground. The corn straw was crushed into 5–10 cm long sections by machinery, and evenly covered the bare ground between rows totaling 3500 kg/ha after the emergence of seedlings. Planter dibbling was used to sow female seeds first, and male seeds were sown in different stages. |
CK | open-ground seed | Planter dibbling was used to sow female seeds first, and male seeds were sown in different stages without covering. |
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
RI | 0 | 0 | 0.52 | 0.89 | 1.12 | 1.24 | 1.36 | 1.41 | 1.46 | 1.49 | 1.52 | 1.54 | 1.56 | 1.58 | 1.59 |
Year | Treatment | Yield (kg/ha) | Starch (%) | Crude Protein (mg/g) | Crude Fat (%) | Soluble Sugar (%) | Crude Fiber (%) | Water Consumption (m3/ha) | WUE (kg/m3) | Output Value (RMB/ha) | Output Value of One Cubic Meter of Water (RMB/m3) |
---|---|---|---|---|---|---|---|---|---|---|---|
2018 | SA | 8280.75 bc | 67.57 a | 9.08 ab | 1.49 ab | 13.28 ab | 6.75 a | 4211.35 ab | 1.97 b | 31301.24 bc | 9.94 bc |
WF | 9075.44 ab | 64.96 ab | 9.12 ab | 1.33 bc | 12.04 c | 4.83 c | 4027.18 bc | 2.25 a | 34305.16 ab | 10.89 ab | |
BF | 9431.62 a | 68.69 a | 9.66 a | 1.55 a | 12.91 bc | 4.53 c | 4111.46 ab | 2.29 a | 35651.52 a | 11.32 a | |
SM | 7566.39 c | 67.90 a | 9.14 ab | 1.61 a | 14.75 a | 3.87 d | 3985.60 c | 1.90 b | 28600.95 c | 9.08 c | |
CK | 6229.51 d | 62.78 b | 8.47 b | 1.15 c | 10.37 d | 5.61 b | 4529.03 a | 1.38 c | 23547.55 d | 7.48 d | |
2019 | SA | 7915.08 b | 66.98 ab | 8.92 bc | 1.31 cd | 12.76 ab | 6.29 a | 4305.71 bc | 1.84 bc | 28098.53 b | 9.52 b |
WF | 8845.55 a | 65.11 ab | 8.45 c | 1.42 bc | 11.84 bc | 4.37 b | 4439.24 ab | 1.99 ab | 31401.70 a | 10.64 a | |
BF | 9317.17 a | 70.18 a | 10.58 a | 1.84 a | 12.15 b | 4.46 b | 4360.85 bc | 2.14 a | 33075.95 a | 11.21 a | |
SM | 7128.76 c | 68.14 ab | 9.61 ab | 1.51 b | 13.66 a | 5.90 a | 4067.93 c | 1.75 c | 25307.10 c | 8.58 c | |
CK | 6305.24 d | 63.10 b | 7.79 c | 1.22 d | 11.03 c | 4.51 b | 4843.51 a | 1.30 d | 22383.60 d | 7.59 d |
O | C1 | C2 | C3 | C4 |
---|---|---|---|---|
C1 | 1 | 2 | 3 | 5/3 |
C2 | 1/2 | 1 | 7/3 | 2 |
C3 | 1/3 | 3/7 | 1 | 2 |
C4 | 3/5 | 1/2 | 1/2 | 1 |
Method | C1 | C2 | C3 | C4 | CI | CR | |
---|---|---|---|---|---|---|---|
Average method | 0.4023 | 0.2754 | 0.1731 | 0.1493 | 4.2124 | 0.0708 | 0.0796 |
Geometric means method | 0.4071 | 0.2830 | 0.1674 | 0.1425 | |||
Eigenvector method | 0.4070 | 0.2774 | 0.1699 | 0.1456 |
Target Layer | Criterion Layer (Weights) | Indicator Layer | Comprehensive Weight | ||
---|---|---|---|---|---|
Index | Weights | ||||
Benefit evaluation of different drought resistance measures of maize seed | Yield C1 (0.4070) | Yield | P1 | 1 | 0.4070 |
Quality C2 (0.2774) | Starch | P2 | 0.1161 | 0.0322 | |
Crude protein | P3 | 0.2502 | 0.0694 | ||
Crude fat | P4 | 0.1269 | 0.0352 | ||
Soluble sugar | P5 | 0.4047 | 0.1123 | ||
Crude fiber | P6 | 0.1021 | 0.0283 | ||
Water use status C3 (0.1699) | Water consumption | P7 | 0.2500 | 0.0425 | |
WUE | P8 | 0.7500 | 0.1274 | ||
Economic benefits C4 (0.1456) | Output value | P9 | 0.3333 | 0.0485 | |
Output value of one cubic meter of water | P10 | 0.6667 | 0.0971 |
Year | Yield P1 | Starch P2 | Crude Protein P3 | Crude Fat P4 | Soluble Sugar P5 | Crude Fiber P6 | Water Consumption P7 | WUE P8 | Output Value P9 | Output Value of One Cubic Meter of Water P10 |
---|---|---|---|---|---|---|---|---|---|---|
2018 | 0.10168 | 0.10385 | 0.09884 | 0.10204 | 0.10440 | 0.10151 | 0.09055 | 0.09372 | 0.10168 | 0.10173 |
2019 | 0.09960 | 0.09652 | 0.10856 | 0.13416 | 0.09894 | 0.10630 | 0.07871 | 0.07796 | 0.09960 | 0.09963 |
Indicator | Subjective Weight | Objective Weight | Combined Weights | |||
---|---|---|---|---|---|---|
2018 | 2019 | 2018 | 2019 | |||
Yield | P1 | 0.4070 | 0.10168 | 0.09960 | 0.4082 | 0.3845 |
Starch | P2 | 0.0322 | 0.10385 | 0.09652 | 0.0319 | 0.0369 |
Crude protein | P3 | 0.0694 | 0.09884 | 0.10856 | 0.0693 | 0.0723 |
Crude fat | P4 | 0.0352 | 0.10204 | 0.13416 | 0.0350 | 0.0425 |
Soluble sugar | P5 | 0.1123 | 0.1044 | 0.09894 | 0.1123 | 0.1113 |
Crude fiber | P6 | 0.0283 | 0.10151 | 0.10630 | 0.0280 | 0.0340 |
Water consumption | P7 | 0.0425 | 0.09055 | 0.07871 | 0.0423 | 0.0452 |
WUE | P8 | 0.1274 | 0.09372 | 0.07796 | 0.1275 | 0.1238 |
Output value | P9 | 0.0485 | 0.10168 | 0.09960 | 0.0483 | 0.0523 |
Output value of one cubic meter of water | P10 | 0.0971 | 0.10173 | 0.09963 | 0.0971 | 0.0973 |
Year | Treatment Number | Yield | Starch | Crude Protein | Crude Fat | Soluble Sugar | Crude Fiber | Water Consumption | WUE | Output Value | Output Value of One Cubic meter of Water |
---|---|---|---|---|---|---|---|---|---|---|---|
2018 | SA | 0.1844 | 0.0145 | 0.0309 | 0.0162 | 0.0523 | 0.0000 | 0.0148 | 0.0566 | 0.0218 | 0.0439 |
WF | 0.2021 | 0.0140 | 0.0311 | 0.0145 | 0.0474 | 0.0126 | 0.0234 | 0.0646 | 0.0239 | 0.0481 | |
BF | 0.2101 | 0.0148 | 0.0329 | 0.0169 | 0.0508 | 0.0146 | 0.0195 | 0.0658 | 0.0249 | 0.0500 | |
SM | 0.1685 | 0.0146 | 0.0311 | 0.0176 | 0.0581 | 0.0189 | 0.0253 | 0.0546 | 0.0199 | 0.0401 | |
CK | 0.1387 | 0.0135 | 0.0288 | 0.0125 | 0.0408 | 0.0075 | 0.0000 | 0.0396 | 0.0164 | 0.0330 | |
Optimal vector | 0.2101 | 0.148 | 0.0329 | 0.0176 | 0.0581 | 0.0000 | 0.0000 | 0.0658 | 0.0249 | 0.0500 | |
Worst vector | 0.1387 | 0.135 | 0.0288 | 0.0125 | 0.0408 | 0.0189 | 0.0253 | 0.0396 | 0.0164 | 0.0330 | |
2019 | SA | 0.1706 | 0.0166 | 0.0316 | 0.0169 | 0.0516 | 0.0000 | 0.0214 | 0.0558 | 0.0232 | 0.0432 |
WF | 0.1906 | 0.0161 | 0.0300 | 0.0183 | 0.0478 | 0.0203 | 0.0161 | 0.0603 | 0.0259 | 0.0482 | |
BF | 0.2008 | 0.0174 | 0.0375 | 0.0237 | 0.0491 | 0.0193 | 0.0192 | 0.0649 | 0.0273 | 0.0508 | |
SM | 0.1536 | 0.0168 | 0.0341 | 0.0194 | 0.0552 | 0.0041 | 0.0309 | 0.0530 | 0.0209 | 0.0389 | |
CK | 0.1359 | 0.0156 | 0.0276 | 0.0157 | 0.0446 | 0.0188 | 0.0000 | 0.0394 | 0.0185 | 0.0344 | |
Optimal vector | 0.2008 | 0.0174 | 0.0375 | 0.0237 | 0.0552 | 0.0000 | 0.0000 | 0.0649 | 0.0273 | 0.0508 | |
Worst vector | 0.1359 | 0.0156 | 0.0276 | 0.0157 | 0.0446 | 0.0203 | 0.0309 | 0.0394 | 0.0185 | 0.0344 |
Treatment Number | 2018 | 2019 | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Ranking | Ranking | |||||||||
SA | 0.1365 | 0.1266 | 0.4812 | 0.1632 | 4 | 0.1406 | 0.1318 | 0.4839 | 0.1719 | 4 |
WF | 0.0555 | 0.1935 | 0.7772 | 0.2636 | 2 | 0.0860 | 0.1804 | 0.6773 | 0.2405 | 2 |
BF | 0.0443 | 0.2013 | 0.8195 | 0.2779 | 1 | 0.0581 | 0.2068 | 0.7806 | 0.2772 | 1 |
SM | 0.0822 | 0.1900 | 0.6979 | 0.2367 | 3 | 0.1321 | 0.1619 | 0.5508 | 0.1956 | 3 |
CK | 0.2139 | 0.0447 | 0.1729 | 0.0586 | 5 | 0.2135 | 0.1020 | 0.3232 | 0.1148 | 5 |
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Liang, C.; Yu, S.; Zhang, H.; Wang, Z.; Li, F. Economic Evaluation of Drought Resistance Measures for Maize Seed Production Based on TOPSIS Model and Combination Weighting Optimization. Water 2022, 14, 3262. https://doi.org/10.3390/w14203262
Liang C, Yu S, Zhang H, Wang Z, Li F. Economic Evaluation of Drought Resistance Measures for Maize Seed Production Based on TOPSIS Model and Combination Weighting Optimization. Water. 2022; 14(20):3262. https://doi.org/10.3390/w14203262
Chicago/Turabian StyleLiang, Chao, Shouchao Yu, Hengjia Zhang, Zeyi Wang, and Fuqiang Li. 2022. "Economic Evaluation of Drought Resistance Measures for Maize Seed Production Based on TOPSIS Model and Combination Weighting Optimization" Water 14, no. 20: 3262. https://doi.org/10.3390/w14203262