Understanding Spatial Autocorrelation in Geostatistical Analysis

Explore the concept of spatial autocorrelation, its implications in geostatistical analysis, and the importance of detecting and interpreting it correctly. Learn about auto-correlation, signal components, correlation significance, and measuring autocorrelation using tools like Moran's I. Gain insights into spatial patterns, clusters, and the impact of spatial autocorrelation on spatial interpolation processes. Dive into the First Law of Geography and its relevance in understanding spatial relationships.

• Spatial autocorrelation
• Geostatistical analysis
• Morans I
• Spatial patterns
• Auto-correlation

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Uploaded on Aug 04, 2024 | 0 Views

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1. Analysis Tools Analysis Tools Vector Analysis Spatial Analyst Raster Analysis Geostatistical Analyst Interpolation Spatial Statistics Patterns Clusters namNm15

2. Auto-Correlation Auto self Correlation - related namNm15 Does this signal have auto-correlation?

3. Signal Components Random Component Uniform namNm15

4. Is Correlation Bad? Most statisticians see correlation as bad because it can lead to results that are misinterpreted Spatial auto-correlation can be bad for the same reason so we must detect it Without spatial auto-correlation, we should not be doing spatial interpolation namNm15

5. First Law of Geography "Everything is related to everything else, but near things are more related than distant things. Waldo Tobler (1970) "A computer movie simulating urban growth in the Detroit region". Economic Geography namNm15

6. Measuring Autocorrelation Moran s I Spatial Statistics Tools -> Analyzing Patterns -> Spatial Autocorrelation (Moran s I) 0 ~ Random 1 = Perfect Correlation -1 = Perfect Dispersion (pattern) namNm15 ArcGIS Help

7. Morans I Results 0.8 = Spatial Autocorrelation -0.05 = Random -1 = Opposite of autocorrelation namNm15

8. Morans I If the ??and ??in the numerator vary in the same way from the mean (positively or negatively), the numerator will be positive. If ??and ?? vary in opposite ways from the mean, the numerator will be negative. namNm15

9. Morans I Weights namNm15

10. Morans I namNm15

11. Spatial Autocorrelation Game Northern Kentucky University http://www.nku.edu/~longa/cgi-bin/cgi-tcl- examples/generic/SA/SA.cgi namNm15

12. Other measures Geary s C Inversely related to Moran s I More sensitive to local spatial correlation namNm15