Understanding Spatial Autocorrelation in Geostatistical Analysis

 
Analysis Tools
 
Analysis Tools
Vector Analysis
Spatial Analyst
Raster Analysis
Geostatistical Analyst
Interpolation
Spatial Statistics
Patterns
Clusters
 
Auto-Correlation
 
Auto – self
Correlation - related
 
Does this signal have auto-correlation?
 
Signal Components
 
Random
Component
 
Uniform
 
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
 
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
 
Measuring Autocorrelation
 
Moran’s I
Spatial Statistics Tools -> Analyzing Patterns ->
Spatial Autocorrelation (Moran’s I)
0 ~ Random
1 = Perfect Correlation
-1 = Perfect Dispersion (pattern)
 
ArcGIS Help
 
Moran’s I Results
 
-0.05  = Random
 
-1  = Opposite of autocorrelation
 
0.8 = Spatial Autocorrelation
 
Moran’s I
 
Moran’s I Weights
 
Moran’s I
 
 
Spatial Autocorrelation Game
 
Northern Kentucky University
http://www.nku.edu/~longa/cgi-bin/cgi-tcl-
examples/generic/SA/SA.cgi
 
Other measures
 
Geary’s C
Inversely related to Moran’s I
More sensitive to local spatial correlation
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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.


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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

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