Abstract: In order to explore the coupling coordination relationship between agricultural economic development and ecological environment systems in green and low-carbon development,the entropy method,coupled coordination degree model and coupled evolution model were used to measure the comprehensive evaluation index of agricultural economic development and ecological environment systems in Hunan Province,and the static and dynamic coupling relationship changes between the two under time series conditions were analyzed in detail.The results showed that:first,from 2009 to 2021,the total agricultural carbon emissions in Hunan Province showed a trend of increasing first and then decreasing,and the decline rate continued to accelerate,with significant green and low-carbon characteristics of agriculture;second,during the research period,the agricultural economic system evaluation index of Hunan Province maintained a steady upward trend,while the ecosystem index showed a trend of decreasing first and then rising,quickly shifting from "economic backwardness" to "ecological lag" stage;third,the coupling and coordination degree between agricultural economic development and ecological environment subsystems has generally accelerated,jumping from 0.279 to 0.828.The coupling and coordination stage has evolved from moderate imbalance and decline to good coordinated development;fourth,the dynamic coupling degree has shown a change trend from small to large,manifested in the development stage of coordinated coexistence to harmonious coexistence.Inspired by the research results,Hunan Province should continue to adhere to the strategy of strengthening the ecological province to guide the direction of agricultural development,promote the coordinated resonance of the agricultural economy and the ecological environment,and achieve high-level coupled and coordinated development of the two as soon as possible.

Key words: agricultural economy, ecological environment, green and low-carbon, systematic evaluation, coupling coordination