摘要：

Reasonable programming and planting of crops is the key to balancing the economic benefits of the agricultural industry and the sustainable development of resources, and is an important way to increase farmers' income and achieve prosperity. Crop planting programming in Lingqiu county of Shanxi province, was used to quantify the impact of interannual risks of yield, cost and price on planting programming using stochastic parameters combination with the impact of plot type, crop rotation and market demand on planting. At the same time, complementary crop substitution mechanism had been integrated, with planting profit and coordination degree as the bi−objectives. Three crop planting programming models were designed and constructed and evaluated. The results showed that the actual planting profit of 41 kinds of crops planted in Lingqiu county in 2023 were 5926348.25 yuan, and the planting coordination degree was 66.67. The planting scheme with bi−objective programming (M1) achieved a profit increase of 71.01% and a planting coordination increase of 60.75%. The planting scheme with bi−objective programming considering market risk (M2) increased the profit by 75.42% and the planting coordination increased by 60.94%. The profit increase of the planting scheme with bi−objective programming under the complementary substitution condition (M3) reached 164.42%, and the planting coordination increased by 60.75%. The results of all three planting schemes could achieve an increase of more than 60% with coordination of crop planting in the region, and an increase of more than 70% of profits. The bi−objective planting programming model had a good ability to improve profits and planting coordination, and could provide support for adjustment and optimization in crop planting programming and crop industry layout. The crop planting bi−objective programming model designed and constructed in this paper and its programming results had certain guiding value for optimizing the regional crop planting structure and layout, promoting the supply−side structural reform of the agricultural industry, improving the economic benefits of the agricultural industry and coordinating the sustainable development of the agricultural industry.