Research on Simulation and Structural Optimization of Integrated Crop–Livestock Systems in Jilin Province
Abstract
1. Introduction
2. Literature Review
3. Materials and Methods
3.1. Study Area and Data Sources
3.2. Methods
3.2.1. Modeling Framework
3.2.2. System Objectives and Boundaries
3.2.3. System Composition and Variables
3.2.4. Parameter and Equation Determination
4. Empirical Findings and Analysis
4.1. Model Validity Testing
4.1.1. Visual and Operational Verification
4.1.2. Historical Validation
4.2. Simulation Analysis
4.2.1. Integrated Crop–Livestock Subsystem
4.2.2. Socio-Economic Subsystem
4.2.3. Ecological Environment Subsystem
4.3. Simulation-Based Optimization Analysis of Integrated Crop–Livestock Systems Under Multiple Scenarios
5. Discussion
6. Recommendations
7. Limitations and Outlook
8. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A
| System | Variable | Equation | Description |
|---|---|---|---|
| Integrated Crop–Livestock Subsystem | Grain Crop Yield | 1.0749 × Grain crop planting area − 2056.3 | Regression Analysis |
| Cash Crop Yield | Table function for time | / | |
| Collectable straw | (Soybean yield × soybean straw-to-grain ratio + Rice yield × rice straw-to-grain ratio + Corn yield × corn straw-to-grain ratio) × 0.89 | / | |
| Total crop planting area | Time table function | / | |
| Grain crop planting area | 1.06502 × Total crop planting area − 881.8 | Regression Analysis | |
| Cash crop planting area | Time table function | / | |
| Hog output | Change in hog output × (1 + Livestock and poultry manure utilization rate/20) | Regression analysis | |
| Beef cattle output | Change in beef cattle output × (1 + per capita GDP/100) | Regression analysis | |
| Beef cattle inventory | 2.39906 × Beef cattle output − 224.267 | Regression analysis | |
| Corn straw-to-grain ratio, Soybean straw-to-grain ratio, Rice straw-to-grain ratio | 1.2, 1.0, 1.6 | Refer to existing literature [58] | |
| Change in livestock and poultry manure utilization | Annual increase in organic fertilizer applied to fields × 3.7 + Livestock and poultry manure utilization rate × Other livestock and poultry manure production | Regression Analysis | |
| Livestock and poultry manure utilization rate | Annual livestock and poultry manure utilization/Annual livestock and poultry manure production | / |
| System | Variable | Equation | Description |
|---|---|---|---|
| Socio-Economic Subsystem | GDP | INTEG (GDP growth, initial GDP) | Integral |
| GDP growth | GDP × GDP growth rate | / | |
| GDP growth rate | time table function | / | |
| Per capita GDP | GDP per capita | / | |
| Primary industry share | Time table function | / | |
| Primary industry output value | GDP × Primary industry share | / | |
| Total Population | INTEG (Population growth, Initial population) | Integral | |
| Population growth rate | Time table function | / | |
| Population growth | Total Population × Population growth rate | / | |
| Urban population | Urbanization rate × Total population | / | |
| Urbanization rate | Time table function | / | |
| Rural population | Total population × (1 − Urbanization rate) | / | |
| Rural per capita meat consumption | Time table function | / | |
| Urban per capita meat consumption | Time table function | / | |
| Rural per capita meat demand | Rural per capita meat consumption × Rural population/1000 | / | |
| Urban per capita meat demand | Urban per capita meat consumption × Urban population/1000 | / | |
| Meat production | Hog output + Beef cattle output + Other meat production | / | |
| Other meat production | Time table function | / | |
| Supply–demand ratio | Meat Production/Meat Demand | / |
| System | Variable | Equation | Description |
|---|---|---|---|
| Ecological Environment Subsystem | Arable land area | 3514 + 0.8 × Grain crop planting area − 2 × Cash Crop Planting Area | Regression Analysis |
| Per capita arable land area | Arable land area/Total population | / | |
| Effectively irrigated area | Time table function | / | |
| Effective irrigation rate | Effective irrigated area/Arable land area | / | |
| Fertilizer application volume | Time table function | / | |
| Fertilizer application intensity | Fertilizer application volume/Arable land area × 10 | / | |
| Pesticide application rate | Time table function | / | |
| Pesticide application intensity | Pesticide usage volume/Arable land area × 10 | / | |
| Annual livestock and poultry manure production | Other livestock and poultry manure emissions + (Change in hog output × Pig farming pollution coefficient × 199 + Change in beef cattle output ×Cattle farming pollution coefficient × 365 × 0.69)/1000 | Regression Analysis | |
| Livestock manure emissions | INTEG (Current manure discharge volume, Initial manure discharge volume) | Integral | |
| Other livestock and poultry manure generation | Table function for time | / | |
| Livestock and poultry manure load warning value | Annual livestock and poultry manure production/(Arable land area × 0.1 ×Maximum pollutant carrying capacity of cultivated land) | Refer to existing literature [57] | |
| Maximum pollutant carrying capacity of cultivated land | 30 | Refer to existing literature [53] | |
| Annual straw burning volume | Burning Ratio × Straw Stockpile | / |
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| Boundary | Scope |
|---|---|
| Spatial Boundary | Administrative boundaries of Jilin Province |
| Temporal Boundary | Historical time period: 2006–2021 serves as the simulation base period, during which parameters are set and validated using historical data. 2022–2035 constitutes the projection period, where key parameters are adjusted, and various scenario plans are formulated by analyzing historical data and identifying development trends. To minimize temporal errors, the simulation step size is set to 1 year. |
| Content Boundaries | Agriculture, animal husbandry, socioeconomic factors, and ecological environment-related content |
| System Category | Variable Name | Unit |
|---|---|---|
| Integrated Crop–Livestock Subsystem | Grain crop yield, Cash crop yield, Straw stockpile, Collectable straw, Annual straw utilization, Corn yield, Soybean yield, Rice yield, Annual livestock and poultry manure utilization | Tons |
| Grain crop planting area, Cash crop planting area, Total crop planting area | Thousand hectares | |
| Hog output, Change in hog output, Beef cattle output, Change in beef cattle output, Beef cattle inventory | 10,000 head | |
| Corn straw-to-grain ratio, Soybean straw-to-grain ratio, Rice straw-to-grain ratio, Livestock and poultry manure utilization rate, Cropping index | % | |
| Socioeconomic Subsystem | GDP, GDP growth, Primary industry output value | 100 million yuan |
| Total population, Population growth, Urban population, Rural population | 10,000 people | |
| Rural per capita meat consumption, Urban per capita meat consumption, Rural per capita meat demand, Urban per capita meat demand, Meat demand | Kilograms | |
| Meat production, Other meat production | 10,000 tons | |
| Primary industry share, Urbanization rate, Supply–demand ratio, GDP growth rate, Population growth rate | % | |
| Per capita GDP | 10,000 yuan | |
| Ecological Environment Subsystem | Per capita arable land area | Hectares |
| Arable land area, Effectively irrigated area. | Thousand hectares | |
| Annual straw burning volume, Fertilizer application volume, Pesticide usage volume | 10,000 tons | |
| Fertilizer application intensity, Pesticide application intensity | 10,000 tons/1000 hectares | |
| Annual livestock and poultry manure production, Other livestock and poultry manure production | 10,000 tons | |
| Maximum pollutant carrying capacity of cultivated land | tons/hectare | |
| Effective irrigation rate, Cattle farming pollution coefficient, Pig farming pollution coefficient, Straw feed utilization rate, Burning ratio, Livestock and poultry manure load warning value | % |
| Variable | Grain Crop Planting Area (1000 Hectares) | Total Population (10,000 Persons) | GDP (Billion Yuan) | Beef Cattle Output (10,000 Head) | Hog Output (10,000 Head) | Fertilizer Application Volume(10,000 Tons) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Time | Simulated Value | Historical Value | Error | Simulated Value | Historical Value | Error | Simulated Value | Historical Value | Error | Simulated Value | Historical Value | Error | Simulated Value | Historical Value | Error | Simulated Value | Historical Value | Error |
| 2006 | 4246.49 | 4236.6 | 0.2% | 2716 | 2723 | 0.3% | 3226.47 | 3226.47 | 0.0% | 315.951 | 310.53 | 1.7% | 1273.59 | 1302.28 | −2.2% | 152.497 | 146.70 | 4.0% |
| 2007 | 4481.63 | 4472.84 | 0.2% | 2722.79 | 2729.82 | 0.3% | 3942.71 | 4080.34 | −3.4% | 299.124 | 315.57 | −5.2% | 1219.01 | 1168.48 | 4.3% | 165.523 | 154.39 | 7.2% |
| 2008 | 4526.18 | 4555.28 | −0.6% | 2727.15 | 2734.21 | −0.3% | 4715.81 | 4834.68 | −2.5% | 265.483 | 258.81 | 2.6% | 1319.21 | 1263.97 | 4.4% | 167.991 | 163.84 | 2.5% |
| 2009 | 4540.31 | 4560.86 | −0.5% | 2732.33 | 2739.55 | −0.3% | 5564.65 | 5434.84 | 2.4% | 270.911 | 264.42 | 2.5% | 1408.82 | 1362.13 | 3.4% | 168.774 | 174.18 | −3.1% |
| 2010 | 4719.07 | 4676.76 | 0.9% | 2739.16 | 2746.6 | −0.3% | 6232.41 | 6410.48 | −2.8% | 271.065 | 267.3 | 1.4% | 1464.24 | 1436.69 | 1.9% | 178.677 | 182.80 | −2.3% |
| 2011 | 4759.86 | 4766.41 | −0.1% | 2741.9 | 2749.41 | −0.3% | 7354.25 | 7734.64 | −4.9% | 266.867 | 261.61 | 2.0% | 1532.13 | 1457.52 | 5.1% | 180.937 | 195.20 | −7.3% |
| 2012 | 4903.37 | 4891.25 | 0.2% | 2690.35 | 2697.55 | −0.3% | 8898.64 | 8678.02 | 2.5% | 263.477 | 257.3 | 2.4% | 1631.82 | 1595.42 | 2.3% | 188.887 | 206.73 | −8.6% |
| 2013 | 5117.4 | 5132.05 | −0.3% | 2661.03 | 2668.07 | −0.3% | 9966.48 | 9427.89 | 5.7% | 259.54 | 251.81 | 3.1% | 1674.11 | 1633.44 | 2.5% | 200.744 | 216.79 | −7.4% |
| 2014 | 5391.7 | 5411.75 | −0.4% | 2634.95 | 2641.89 | −0.3% | 10,365.1 | 9966.54 | 4.0% | 256.447 | 248.1 | 3.4% | 1674.93 | 1679.06 | −0.2% | 215.939 | 226.66 | −4.7% |
| 2015 | 5506.09 | 5534.09 | −0.5% | 2605.7 | 2612.53 | −0.3% | 10,676.1 | 10,018 | 6.6% | 253.773 | 245.23 | 3.5% | 1618.67 | 1618.64 | 0.0% | 222.277 | 231.24 | −3.9% |
| 2016 | 5575.68 | 5542.39 | 0.6% | 2560.36 | 2566.96 | −0.3% | 10,697.4 | 10,427 | 2.6% | 248.168 | 242.03 | 2.5% | 1645.61 | 1570.08 | 4.8% | 226.13 | 233.61 | −3.2% |
| 2017 | 5600.12 | 5543.97 | 1.0% | 2519.65 | 2526.09 | −0.3% | 10,740.2 | 10,922 | −1.7% | 240.763 | 233.6 | 3.1% | 1659.64 | 1691.71 | −1.9% | 227.486 | 231.02 | −1.5% |
| 2018 | 5594.47 | 5599.72 | −0.1% | 2478.08 | 2484.35 | −0.3% | 11,062.4 | 11,253.8 | −1.7% | 254.653 | 249.56 | 2.0% | 1498.87 | 1570.42 | −4.6% | 227.173 | 228.30 | −0.5% |
| 2019 | 5632.98 | 5644.93 | −0.2% | 2441.4 | 2447.52 | −0.3% | 11,394.3 | 11,726.82 | −2.8% | 261.119 | 258.7 | 0.9% | 1361.11 | 1361.1 | 0.0% | 229.306 | 227.06 | 1.0% |
| 2020 | 5669.13 | 5681.78 | −0.2% | 2393.55 | 2399.44 | −0.2% | 11,964 | 12,255.98 | −2.4% | 242.175 | 238.7 | 1.5% | 1337.72 | 1321.6 | 1.2% | 231.308 | 225.29 | 2.7% |
| 2021 | 5707.54 | 5721.25 | −0.2% | 2369.61 | 2375.37 | −0.2% | 12,681.9 | 13,235.52 | −4.2% | 250.76 | 242.4 | 3.4% | 1786.54 | 1750.2 | 2.1% | 233.437 | 223.00 | 4.7% |
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Xia, Y.; Lv, X.; Xu, S.; Guo, H. Research on Simulation and Structural Optimization of Integrated Crop–Livestock Systems in Jilin Province. Systems 2026, 14, 254. https://doi.org/10.3390/systems14030254
Xia Y, Lv X, Xu S, Guo H. Research on Simulation and Structural Optimization of Integrated Crop–Livestock Systems in Jilin Province. Systems. 2026; 14(3):254. https://doi.org/10.3390/systems14030254
Chicago/Turabian StyleXia, Yujie, Xiaoyu Lv, Shuang Xu, and Hongpeng Guo. 2026. "Research on Simulation and Structural Optimization of Integrated Crop–Livestock Systems in Jilin Province" Systems 14, no. 3: 254. https://doi.org/10.3390/systems14030254
APA StyleXia, Y., Lv, X., Xu, S., & Guo, H. (2026). Research on Simulation and Structural Optimization of Integrated Crop–Livestock Systems in Jilin Province. Systems, 14(3), 254. https://doi.org/10.3390/systems14030254

