Research on Agricultural Machinery Development and Grain Yield in Heilongjiang Province Based on Differential Privacy

Abstract

With the continuous acceleration of the pace of agricultural informatization construction, the need for quantitative analysis of the improvement of agricultural machinery equipment level and the enhancement of grain production capacity is becoming increasingly urgent. Based on the relevant index data such as grain output, total power of agricultural machinery, the number of large and medium-sized agricultural tractors, and the number of combine harvesters in the Heilongjiang Statistical Yearbook from 2004 to 2024, this paper incorporates Laplacian noise of different scales to achieve differential privacy protection and selects a gradient privacy budget  ranging from 0.1 to 5.0. Explore the impact of different privacy budgets on the statistical analysis effect of agricultural production data from multiple perspectives. Research shows that in terms of the statistical data of agricultural machinery development and grain output in Heilongjiang Province, differential privacy has a distinct critical threshold: when , information such as agricultural machinery and grain output was seriously distorted, and no meaningful statistical conclusions could be drawn regarding the relationship between agricultural machinery development and grain output. When , it was a turning point when data availability began to improve, and to a certain extent, it could reflect the main connection between the development of agricultural machinery and grain output. When , it is possible to obtain as accurate research results as possible on the impact of agricultural machinery development on grain production while ensuring privacy and security, achieving the best balance between data availability and privacy protection.