Study with agricultural system resilience and Agro‐ecological efficiency synergistic evolutionary in China.

Using the Haken model to explore the synergistic evolutionary characteristics and competition trends of agricultural resilience and eco‐efficiency can establish a theoretical foundation for achieving high‐quality and sustainable agricultural development. The traditional Haken model cannot address the issue of the lack of directionality in synergy values, but incorporating the tendency theory of the coupling coordination model into the Haken model can solve this problem, thus establishing propensity synergistic Haken model to give values directionality. Established a more comprehensive evaluation system for China's agricultural resilience. Measuring agricultural system resilience in China's 31 provinces and cities from 2001 to 2021. The synergistic values between agricultural resilience and eco‐efficiency were measured by the improved Haken model. Results show that: (1) Agricultural resilience exhibits a stable upward trend, but the overall level is low. Regional differences have been increasing over time. (2) Eco‐efficiency is the sequential covariate of synergistic evolution by the two systems. The overall synergy level between agricultural system resilience and eco‐efficiency is higher. (3) Considering the "propensity synergistic," the overall change from low‐level benign synergy to high‐level benign synergy between agricultural resilience and eco‐efficiency in China. (4) The propensity synergy Haken model can compensate for the directionality‐lack problem of the traditional Haken model synergy value. [ABSTRACT FROM AUTHOR]