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In our former research, we raised the concept of histo-variogram to describe the spatial heterogeneity among the Earth objects compactly based on the analysis of the characteristics of other spatial analyzing methods such as variogram information entropy. Just like all the other nature phenomenon, the spatial heterogeneity is also scale dependent. That is, the heterogeneity of one kind of Earth scene at a certain scale may become homogeneous at the other scale and vice versa. In current research, we want to find: (1) if there exists one scale scope in which the heterogeneity keeps relative stabilization; (2) if the heterogeneity of a specific Earth scene has regional coherence. This is very important for model selection or parameter adjustment during inversion of quantitative remote sensing. We use the concept of "total fractal dimension" that arose in our former research to measure the heterogeneity of the Earth scene. The data source we used is stochastic sampled sub-regions from LUCC of Beijing district with different scales. The preparatory result shows that the heterogeneity of different Earth scenes has its specific scale scope and heterogeneity of most Earth scenes have regional coherence.