Clustering Components of PySAL
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1 Clustering Components of PySAL Sergio Rey 1,2 Juan Carlos Duque 1 Luc Anselin 2,3 1 Regional Analysis Laboratory (REGAL) Department of Geography San Diego State University 2 Regional Economics Application Laboratory (REAL) University of Illinois Urbana Champaign 3 Department of Geography University of Illinois Urbana Champaign Regional Science Association International Las Vegas, Nevada November 10-12, 2005 ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
2 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
3 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
4 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
5 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
6 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
7 PySAL Origins Collaborative Project OpenSpace (UIUC) STARS (SDSU) ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
8 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
9 Objectives Collaborative Project OpenSpace (UIUC) STARS (SDSU) ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
10 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
11 Contiguity Constrained Clustering Aggregation of N areas to M regions (M < N), such that: 1 Each area belong to only one region. 2 The areas assigned to a region must be geographically connected. N = 47 M = 6 ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
12 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
13 Methods ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
14 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
15 Spatial Aggregation Module Sergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
16 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
17 Methods ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
18 Menu Sergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
19 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
20 ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
21 K-means two stages ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
22 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
23 Including Centroids Coordinates ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
24 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
25 Sergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
26 AZP-tabu ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
27 Comparison K-means two stages = ARISeL = AZP-Tabu = Sergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
28 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
29 ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
30 Continue... ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
31 ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
32 ARISeL ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
33 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
34 Sergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
35 ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
36 Sergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
37 Outline 1 PySAL Origins Objectives 2 Clustering Components Definition Methods 3 Aggregation Models in PySAL Forward Planning Up to date... K-means two stages Including Centroids Coordinates AZP-tabu Automatic Regionalization with Initial Seeds Location: ARISeL Minimum Spanning Tree Integrating Local Indicators of Spatial Association (LISA) 4 Future Directions ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
38 Integrating Local Indicators of Spatial Association (LISA) LISA yl i = f (w i., y) (1) Integrating into regionalization algorithms Kmeans Select k significant LISAs to serve as initial seeds. Kmeans Extend attribute set to include local statistics Kmeans Combine: LISA seeds and LISA attributes ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
39 Future Directions Regionalization Extensions to what we have done here. PySAL Clustering Other aspects of Clustering in PySAL ergio Rey, Juan Carlos Duque, Luc Anselin (San Diego State Clustering University) in PySAL RSAI / 36
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