The scale efficiency of rural industrial integration in the east shows a decreasing trend from 0.952 in 2012 to 0.910 in 2022, with a decrease rate of 4.476%.
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Analysis of spatial differentiation and influencing factors of rural industrial integration efficiency in China.
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In terms of the trend of change, the contribution of intra-regional variation over the sample period showed a slightly increasing trend from 29.906% in 2012 to 30.172% in 2022, while the contribution of hyper-variable density showed a significant increasing trend from 25.534% in 2012 to 44.829% in 2022; The contribution rate of inter-regional differences shows a sharp downward trend from 44.560% in 2012 to 24.999% in 2022, which shows that the contribution rates of the current sources of spatial differentiation in the efficiency of rural industrial integration in China are, in order, hyper-variable density > inter-regional differences > intra-regional differences.
As shown in Table 5 , on the whole, the combined efficiency and scale efficiency of rural industrial integration in the west show a decreasing trend, and the combined efficiency of rural industrial integration in the west decreases from 0.995 in 2012 to 0.968 in 2022, with a decrease rate of 2.771%; The scale efficiency of rural industrial integration in western China decreases from 0.996 in 2012 to 0.963 in 2022, with a decline rate of 3.256%; The pure technical efficiency of rural industrial integration in the west shows an increasing trend from 1.000 in 2012 to 1.005 in 2022, with a growth rate of 0.509%.
In 2016–2022, the distribution curve of three-dimensional kernel density in central China shows an overall trend of “two peaks”, with the main peak on the left and the secondary peak on the right, and the ductility of the main and secondary peaks shrinks, indicating that although there is still a trend of agglomeration in the efficiency of rural industrial integration in central China, the gap of the efficiency of rural industrial integration between central China’s regions has been narrowing, which contributes to the common development of rural industrial integration in central China.