Global Hot Spot Analysis (Getis-Ord G Statistic)
Also known as: Global G statistic, Getis-Ord G, global spatial clustering test, global concentration statistic
Global Hot Spot Analysis uses the Getis-Ord G statistic to determine whether high or low attribute values are spatially concentrated across an entire study area. It answers one question: is there overall clustering of high values (a hot spot tendency) or low values (a cold spot tendency) in the dataset as a whole, producing a single summary test for the full region.
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When to use it
Use Global Hot Spot Analysis when you need a single summary test of whether spatial concentration of high (or low) attribute values exists across the full study region before proceeding to local methods. It is appropriate for continuous positive-valued attributes on georeferenced point or polygon data with at least 30 observations. It is not suitable when you want to identify where clusters are located (use Local Getis-Ord Gi* instead), when the study area is too small or heterogeneous for a global summary to be meaningful, when attribute values include negatives (violating the method's assumptions), or when the process is expected to vary substantially across sub-regions.
Strengths & limitations
- Provides a simple, interpretable single-number global test for spatial concentration of high or low values.
- Distinguishes between clustering of high values and clustering of low values, unlike Moran's I which conflates the two.
- Well-established theoretical basis with known expected value and variance under spatial randomness.
- Computationally fast even for large datasets when using distance-band weights.
- Results are directly comparable across studies using the same distance threshold and attribute type.
- Produces only a global summary — does not identify where hot spots or cold spots are located.
- Sensitive to the choice of distance threshold d; different distances can yield different conclusions.
- Requires attribute values to be strictly positive; negative values violate the method's assumptions.
- Assumes spatial stationarity — the clustering process is assumed to behave the same way across the entire study area.
Frequently asked
How is Global Hot Spot Analysis different from Moran's I?
Both measure global spatial clustering, but Moran's I combines clustering of high values and clustering of low values into one index. The Getis-Ord G statistic separates these: a positive G signals that high values cluster together, while a negative G signals that low values cluster. This makes G more informative when the direction of clustering matters.
How do I choose the distance threshold d?
A common rule is to use the minimum distance at which every feature in the dataset has at least one neighbor, ensuring no isolated observations. Sensitivity analysis — running G at multiple distances — helps reveal whether the clustering finding is robust or an artifact of a particular threshold.
Should I use Global G or Local Gi* for hot spot mapping?
Use Global G first to confirm that spatial concentration exists across the study area. If G is significant, follow up with Local Gi* (or the local Getis-Ord Gi* tool) to pinpoint where the hot spots and cold spots are located. Running only the local version without the global test risks over-interpreting local fluctuations.
Can I use Global Hot Spot Analysis with polygon data?
Yes, provided centroids (or population-weighted centroids) represent the polygon locations and attribute values are strictly positive. For polygon data, contiguity-based weights are also sometimes used, though the original G statistic was formulated with distance-band weights.
What if my G statistic is not significant?
A non-significant G means there is no evidence of global concentration of either high or low values across the full study region. However, it does not rule out local clusters that cancel each other at the global scale. Always complement a non-significant G with a visual exploratory map before drawing conclusions.
Sources
- Getis, A., & Ord, J. K. (1992). The analysis of spatial association by use of distance statistics. Geographical Analysis, 24(3), 189-206. DOI: 10.1111/j.1538-4632.1992.tb00261.x ↗
- Ord, J. K., & Getis, A. (1995). Local spatial autocorrelation statistics: distributional issues and an application. Geographical Analysis, 27(4), 286-306. DOI: 10.1111/j.1538-4632.1995.tb00912.x ↗
How to cite this page
ScholarGate. (2026, June 3). Global Hot Spot Analysis (Getis-Ord G Statistic). ScholarGate. https://scholargate.app/en/spatial-analysis/global-hot-spot-analysis
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
- Global Moran's ISpatial analysis↔ compare
- Hot Spot AnalysisSpatial analysis↔ compare
- Local Getis-Ord Gi*Spatial analysis↔ compare
- Local Spatial AutocorrelationSpatial analysis↔ compare
- Spatial AutocorrelationSpatial analysis↔ compare