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Clusters and Densities

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Presentation on theme: "Clusters and Densities"— Presentation transcript:

1 Clusters and Densities
Do features cluster and at what distance? Ripley’s K (ArcMap) Plotting Sum of Squares ® Where are the clusters? K-Means clustering (R) Density surfaces Kernel Density Methods Hierarchical Methods Dendrograms

2 Spatial Cluster Analysis
Wikipedia

3 Ripley’s K Measure of spatial homogeneity

4 Ripley’s K - ArcGIS ArcGIS Help

5 Cluster Analysis ArcGIS Help

6 Next year, add distances around clusters (concentric circles)

7 Random Data

8 Dispersed Data Note: The data appears to be clustered because the tool sees it as one large cluster

9 Clusters

10 L(d) Expected: for random data Observed: k drives the model
k = 1 when distance from i to j < d k = 0 when distance from i to j >=d

11 Multi-Distance Cluster Analysis


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