Research on Cultivated Land Resource Allocation and Sustainable Rural Development Based on Optimization Models

Crop planting strategies are crucial for sustainable agricultural development. Against the backdrop of increasing global attention to ecological concerns, the rational allocation of limited arable land resources and region-specific development of organic farming industries have become key issues in promoting the sustainable development of rural economies. Compared to existing studies that primarily rely on traditional methods to address crop planting optimization, this study innovatively combines linear programming models with Monte Carlo simulation techniques and introduces the Armington model to handle crop differentiation based on origin and the complexity of large-scale data. The proposed optimization model allocates land resources effectively based on regional characteristics and crop demands, enhancing land-use efficiency while achieving a dynamic balance between economic benefits and environmental sustainability. Furthermore, the model quantifies the substitutability and complementarity between crops, offering scientific crop selection strategies and significantly improving agricultural production flexibility and risk resilience. The findings demonstrate that this model excels in addressing the complexities of real-world agricultural planning and environmental constraints, providing theoretical support and practical pathways for advancing modern organic agriculture.