New Tools for Spatial Data Analysis in the Social Sciences
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1 New Tools for Spatial Data Analysis in the Social Sciences Luc Anselin University of Illinois, Urbana-Champaign edu
2 Outline! Background! Visualizing Spatial and Space-Time Association! DynESDA2! What s Next - Future Directions
3 Background
4 CSISS Tools Program! Software Tools Clearing House! The OpenSpace Project! Dynamic ESDA with GIS
5 Software Tools Clearing House! Search Engine " specialized searches focused on spatial data analysis methods and software! Links to Portals " portals with links to spatial data analysis sites! Links to Tools Links to Tools " selected software sites, academic, commercial, public sector, individuals
6
7 Spatial Tools Search Engine
8 Links to Spatial Tools Portals
9 Select Tools
10 OpenSpace Project! Goal " develop collection of open source spatial data analysis modules that incorporate state of the art methods» moving target requires open environment! Organization " core development team at UIUC " facilitating a community of collaborators
11 OpenSpace Development! Cross Platform Tools " open source software development» Python + Numpy, Jython, Java» to run on linux, windows, mac " open source toolboxes» Xlispstat, R,
12 OpenSpace Functionality! Modular " common kernel of basic classes " develop collection of modular components» library, modules, packages» all the basic techniques (estimation, diagnostics)» open design allows for high end users/programmers
13
14 Visualizing Spatial and Space-Time Association
15 Space-Time ESDA! Extensions " Space-time linking and brushing " Space-time Moran Scatterplot " Space-time LISA
16 Combining Space and Time! Perspectives " Lattice data = discrete objects (not surface) " Pooled analysis = combining all time periods " Comparative statics = cross-sectional slices at different points in time " True Space-Time dynamics = dependence of x at i and t on neighbors at t-h! Metric " What are neighbors in space-time " Importance of dynamics of the processes studied = scale
17 Moran Scatterplot Extensions! Generalized Moran Scatterplot " Regression slope of Wz 2 on z 1» Both variables standardized» = visualization of Wartenberg multivariate Moran statistic " Significance testing» Permutation» Permutation envelope (2.5% and 97.5% from permutation reference distribution)! Four Types of Association Four Types of Association " High-high, Low-low; High-low, Low-high
18 LISA Extensions! Generalization of Local Moran " z 1i x Σ j w ij z 2j»z 1 and z 2 different variables, or same variable at different times! Inference " Null hypothesis» random assignment between value of z 1 at i, t and neighboring values of z 2
19 LISA Extensions (2)! Space-Time Cluster = Diffusion/Contagion " High (above avg) values at a location surrounded by High values at different time» Compare to high-high same time " Similar for Low-Low! Space-Time Outlier = Change " High (above avg) surrounded by Low (below avg) at different time " Similar for Low-High! Significance based on permutation
20 DynESDA2
21 Antecedents! Link ArcInfo-SpaceStat! Link ArcView-SpaceStat " SpaceStat Extension for ArcView» visualize ESDA results from SpaceStat» construct spatial weights " DynESDA Extension for ArcView» dynamic linking of View and statistical graphs» link map, histogram, box plot, scatterplot» Moran Scatterplot
22 DynESDA2 Design! Map as One of the Views " no longer ArcView driven " MapObjects Lite for mapping functionality " multiple maps linked " transparent selection identifier! Modular Design Modular Design " modules for statistical graphics " modules for mapping function " linked through common bitmap
23 User Interfaces < Explore Menu < Selection Tools Mapping Menu
24 New Features! Data Structure " both polygon and point shape files " Thiessen polygons centroids! Brushing " brushing of multiple maps " linking to table! Visualizing Spatial Autocorrelation " generalized Moran scatterplot " linking and brushing LISA maps
25 Linking Point and Polygon Maps
26 Box Map and Box Plot
27 LISA Maps Linked to Table and Moran Scatterplot
28 Weights Construction Distance Weights Contiguity Weights
29 Randomization in Moran Scatterplot
30 Significance Envelope
31 Generalized Moran Scatterplot Matrix
32 Linked LISA Map Suite
33 Future
34 What s Next! Tool Developers Specialist Meeting " compendium/showcase of tools " white paper on standards, interoperability! DynESDA2 Beta Release " late spring! Template for Linear Regression " libraries in Xlispstat, Python, Java " links to related work (R project)» diagnostics for spatial effects» ML estimation of spatial regression» IV/GMM estimation of spatial regression
35 Future Directions! Performance Issues " extend DynESDA functionality to large data sets! New Methods " space-time regression models " spatial probit! New Platforms " web-based spatial data analysis
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