Fig 1.
Research ideas.
Table 1.
The input-output index system to evaluate agricultural ecological efficiency in Hebei Province.
Table 2.
Markov chain state transfer probability matrix (N = 4).
Table 3.
Spatial Markov chain state transfer conditional probability matrix (N = 4).
Fig 2.
Agricultural ecological efficiency in Hebei Province.
Table 4.
Growth rate of agricultural ecological efficiency in Hebei Province.
Fig 3.
Spatial distribution diagram of agricultural ecological efficiency in Hebei Province.
Fig 4.
Distribution diagram of agricultural ecological efficiency grades in Hebei Province.
Fig 5.
Nuclear density estimation diagram of agricultural ecological efficiency in Hebei Province.
Fig 6.
Standard deviation of agricultural ecological efficiency.
Table 5.
Markov transfer probability matrix of agricultural ecological efficiency in Hebei Province.
Table 6.
Markov transfer probability matrix of agricultural ecological efficiency space in Hebei Province.
Table 7.
Prediction of the long-term evolutionary trend of agricultural ecological efficiency in Hebei Province.