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As shown in Table 2, the better relative environmental efficiency of the one-season rice + rape cultivation model is in Pingjiang County and Xiangyin County, with environmental efficiency scores of 0.946 and 0.92, respectively, and the worst is in Huarong County, with an environmental efficiency value of 0.423. The better relative environmental efficiency of the one-season rice + lobster cultivation model is in Xiangyin County and Nan County, with environmental efficiency scores of 0.975 and 0.915, respectively, and the worst is in Hanshou County, with an environmental efficiency value of 0.414. The better relative environmental efficiency of the one-season rice + vegetable cultivation model is in Junshan and Xiangyin counties, with environmental efficiency scores of 0.926 and 0.91, respectively, and the worst is in Taojiang County, with an environmental efficiency score of 0.405. The better relative environmental efficiency of the two-season rice + winter leisure cultivation model is in Li County and Linxiang City, with environmental efficiency scores of 0.765 and 0.765, respectively. Overall, among the 16 counties (cities and districts) around Dongting Lake, those with better environmental efficiency are Xiangyin County, Linxiang City, Pingjiang County, and Miluo City. It can be concluded that a certain cropping pattern has a high LEI value in a specific county and a relatively low LEI value in other counties, and counties with high LEI scores can obtain considerable economic returns by expanding the cropping scale without causing larger-scale environmental damage, while counties with low LEI scores cause relatively large environmental pressure or produce relatively low economic returns. Under the condition of ensuring food types and yields, each county can adjust its cultivation structure appropriately according to its own strengths and weaknesses.

Table 2

Score value of the Luenberger environmental index of four typical planting patterns

RegionsOne-season rice + oilseed rapeOne-season rice + lobsterOne-season rice + vegetableDouble cropping rice + winter fallow
Pingjiang County 0.946 0.636 0.82 0.75 
Xiangyin County 0.92 0.975 0.91 0.715 
Huarong County 0.423 0.677 0.715 0.66 
Yueyang County 0.631 0.75 0.766 0.64 
Miluo City 0.795 0.729 0.811 0.634 
Linxiang City 0.789 0.825 0.775 0.728 
Junshan District 0.609 0.643 0.926 0.606 
Lixian County 0.535 0.644 0.52 0.765 
Hanshou County 0.788 0.414 0.644 0.7 
Linli County 0.754 0.705 0.635 0.6 
Anxiang County 0.62 0.601 0.509 0.549 
Jinshi City 0.536 0.604 0.623 0.609 
Taojiang County 0.732 0.765 0.405 0.647 
Nanxian County 0.621 0.915 0.608 0.545 
Yuanjiang City 0.645 0.626 0.636 0.579 
Heshan District 0.755 0.812 0.758 0.545 
RegionsOne-season rice + oilseed rapeOne-season rice + lobsterOne-season rice + vegetableDouble cropping rice + winter fallow
Pingjiang County 0.946 0.636 0.82 0.75 
Xiangyin County 0.92 0.975 0.91 0.715 
Huarong County 0.423 0.677 0.715 0.66 
Yueyang County 0.631 0.75 0.766 0.64 
Miluo City 0.795 0.729 0.811 0.634 
Linxiang City 0.789 0.825 0.775 0.728 
Junshan District 0.609 0.643 0.926 0.606 
Lixian County 0.535 0.644 0.52 0.765 
Hanshou County 0.788 0.414 0.644 0.7 
Linli County 0.754 0.705 0.635 0.6 
Anxiang County 0.62 0.601 0.509 0.549 
Jinshi City 0.536 0.604 0.623 0.609 
Taojiang County 0.732 0.765 0.405 0.647 
Nanxian County 0.621 0.915 0.608 0.545 
Yuanjiang City 0.645 0.626 0.636 0.579 
Heshan District 0.755 0.812 0.758 0.545 

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