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In the process of KDE analysis, a reasonable bandwidth h selection is very important. h determines the smoothness of the spatial distribution of the kernel density, and the larger the h, the smoother the density distribution. In existing geographic information analysis studies, reasonable bandwidths are often determined based on the degree of focus on clustering features and local features from a global perspective [33]. In this research, there is a range of impacts of surface cracks on the surrounding surface ecology, so the size of the bandwidth h cannot be set arbitrarily.

In this article, the crack nucleation density was used to characterize the degree of surface damage caused by cracks in coal mining subsidence sites in mining areas. Of course, the lattice density method is also a common method for calculating the density of feature elements, but the lattice density method has a certain degree of competent conjecture in the choice of lattice origin and lattice direction, and the different choices lead to some differences in the distribution of the crack density in the study area. There also is not a clear criterion for the selection of the grid size; too large or too small a grid size results in crack distribution characteristics not being reflected. The use of the kernel density method can effectively avoid the above problems, and we can determine a clear bandwidth criterion based on the extent of the impact of surface cracks on soil physicochemical properties and vegetation, which is a clear difference between this study and other types of geographic information analysis when using KDE. The 3 m bandwidth determined by the existing studies can avoid an incorrect estimation of the damage range of the surface crack and also fully take into account the fact that the impact of surface cracks on the surface has a certain range and decays with distance. However, the impact of cracks on the surface is multifaceted [45], extending beyond soil physicochemical properties and vegetation effects, and in further research, a comprehensive evaluation system can be constructed by combining soil erosion, groundwater changes, and other factors to achieve the evaluation of the degree of ecological damage on the surface of coal mining subsidence areas in mining areas.


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