Mathematical derivation process.
journal contribution
posted on 2024-05-31, 19:40 authored by Yanguang ChenThis file provides a detailed derivation process for the relationship between spatial correlation dimension and spatial autocorrelation function based on Moran’s I.
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useful mathematical modelsspatial contiguity functionspatial correlation processspatial correlation matrixesmoran 8217spatial autocorrelation processesspatial autocorrelation functions>< sub ><spatial correlation modelingspatial correlation dimension3623 ± 0correlation dimension provedcharacteristic length parameters2 sup>< sub xmlnsspatial autocorrelationcorrelation dimensionspatial modeling>< supcharacteristic length> submoran ’fractal parametersfractal dimensionxlink ">urban systemstudy revealsscaling exponentr quantitative analysisorganized evolutionintrinsic relationshipinherent associationindex provedfractal patternsempirical analysiscomplex systemscomplex structurechinese citiesc always associated
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