CSISS Tools and Spatial Analysis Software

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CSISS Tools and Spatial Analysis Software June 5, 2006 Stephen A. Matthews Associate Professor of Sociology & Anthropology, Geography and Demography Director of the Geographic Information Analysis Core Population Research Institute Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 01

Outline CSISS Tools Commercial Software Open Source Software Programming Languages Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 02

Outline Commercial Software GWR (nominal fee) Open Source Software GeoDa GeoVISTA Studio/ESTAT CrimeStat Programming Languages R STARS FlowMapper Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 03

Special Issue 2006 Vol 38 (1) Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 04

GeoDa can be found at the CSISS site: http://www.csiss.org Under Spatial Tools Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 05

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 06

GeoDa Webpage: http://geoda.uiuc.edu/default.php Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 07

GeoDa: Features Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 08

GeoDa: Documentation Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 09

GeoDa: Documentation Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 10

Contraceptive Prevalence Rates in Nepal Using GeoDa (Developed by Luc Anselin) Stephen Matthews Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 11

Basic GeoDA Interface Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 12

GeoDA: Creating spatial weights Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 13

GeoDA: Box Plot Maps Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 14

GeoDA: Dynamic Windows Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 15

GeoDA: Exploratory Spatial Data Analysis Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 16

GeoDA: ESDA based on circle selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 17

GeoDA: ESDA based on circle selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 18

GeoDA: ESDA using boxplot selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 19

GeoDA: ESDA using boxplot selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 20

Moran Scatterplot High-High Selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 21

Moran Scatterplot Low-Low Selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 22

Moran Scatterplot Low-Low Selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 23

Moran Scatterplot High-Low Selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 24

Moran Scatterplot Low-High Selection Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 25

LISA statistics Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 26

Mapping and scatterplot Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 27

Bivariate Moran scatterplots Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 28

GeoDA: Data export functionality Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 29

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 30

STARS - http://stars-py.sourceforge.net/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 31

STARS - http://stars-py.sourceforge.net/ Open source written in Python Supports dynamic ESDA time Designed for regional income dynamics but can be applied to a wide set of socioeconimc processes with data measured for areal units over multiple periods of time. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 32

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 33

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 34

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 35

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 36

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 37

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 38

Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 39

Waldo Tobler s FlowMapper http://csiss.ncgia.ucsb.edu/clearinghouse/flowmapper/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 40

Waldo Tobler s FlowMapper http://csiss.ncgia.ucsb.edu/clearinghouse/flowmapper/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 41

Waldo Tobler s FlowMapper http://csiss.ncgia.ucsb.edu/clearinghouse/flowmapper/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 42

GeoVista Studio (Penn State) ESTAT http://www.geovista.psu.edu/estat/ ESTAT Lab on Monday June 12, 2006 Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 43

Geographically Weighted Regression http://ncg.nuim.ie/ncg/gwr/index.htm Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 44

Classic (ONLY) Citation A.S. Fotheringham, C. Brunsdon and M.E. Charlton. Published October 3, 2002. Geographically Weighted Regression: The Analysis of Spatially Varying Relationships Chichester: Wiley, UK. (Price = $95.00). CONTENTS 1. Local Statistics and Local Models for Spatial Data 2. Geographically Weighted Regression: the Basics 3. Extensions to the Basic GWR Model 4. Statistical Inference and Geographically Weighted Regression 5. GWR and Spatial Autocorrelation 6. Scale Issues and Geographically Weighted Regression 7. Geographically Weighted Local Statistics 8. Extensions of Geographically Weighting 9. Software for Geographically Weighted Regression 10. Summary and Future Research Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 45

Geographically Weighted Regression Based on the premise that relationships between variables measured at different locations might not be constant over space (CF: conditional scatterplots) If relations do vary significantly over space then serious questions are raised about the reliability of traditional global-level analysis. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 46

Local vs. Global Statistical Models There is a growing literature and techniques on examining local relationships in aspatial data: LOWESS regression Kernel regression Drift Analysis of Regression Parameter (DARP) There are emerging techniques for local analysis of spatial data: Local Indicators of Spatial Association (LISA) Geographically Weighted Regression (GWR) Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 47

Global vs. Local statistics Global Summarize data for a whole region Single-value statistic Non-mappable GIS-unfriendly Aspatial or spatially limited Emphasis on similarities across space Search for regularities or laws EXAMPLE Classic regression techniques Local Local disaggregations of global statistics Multiple value Mappable GIS-friendly Spatial Emphasis on differences across space Search for exception or local hot-spots Geographically Weighted Regression Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 48

Education Attainment in Georgia using Geographically Weighted Regression (Tutorial Data) (Stewart Fortheringham et al): http://ncg.nuim.ie/ncg/gwr/software.htm Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 49

Setting up a GWR Model DV = Pct with bachelors degree. Are there geographical variations in the relationship between educational attainment and a series of six independent variables? Slide 50

Parameter Estimates and Standard Errors from a Global model fitted to the data & then GWR model results The reduction in the AIC from the global model suggests that the local model is better even accounting for differences in degrees of freedom. Slide 51

The ANOVA tests the null hypotheses that the GWR represents no improvement over the global model (see F-test). The main output from GWR is a set of local parameter estimates regression points (saved to a file). A convenient indication of the extent of the variability in local parameter estimates is a five number summary. Slide 52

The ANOVA tests the null hypotheses that the GWR represents no improvement over the global model (see F-test). Both % Black and % Foreign Born exhibit significant spatial nonstationarity. Slide 53

Geographically Weighted Regression & Mapping The main output from GWR is a set of local parameter estimates and associated diagnostics. Unlike the single global values these values can be mapped. Indeed, in large datasets, mapping or visualizing the data is the only way to make sense of the large volume of output. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 54

Examples of displaying GWR results as a point map. Points are proportional symbols and lie at the geographic centroids of the counties. Local parameter estimates associated with the variable Percent Black. The local parameter estimates change sign over space, being negative in the NE and positive in the south. GLOBAL PctBlack Est = 0.021 SE = 0.025 T = 0.867 Slide 55

Examples of displaying GWR results as a point map. Points are proportional symbols and lie at the geographic centroids of the counties. Local parameter estimates for Percent Foreign Born. The local parameter estimates increase towards the north. GLOBAL Pct FB Est = 1.255 SE = 0.309 T = 4.054 Slide 56

Examples of displaying GWR results for areas. The local parameter estimates for Pct Black change sign over space, being negative in the NE and positive in the south. Local parameter estimates for Percent Foreign Born. The local parameter estimates increase towards the north. Slide 57

Citation: Ned Levine, CrimeStat III: A Spatial Statistics Program for the Analysis of Crime Incident Locations (version 3.0). 2004, Ned Levine & Associates: Houston, TX/ National Institute of Justice: Washington, DC. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 58

CrimeStat A spatial statistics program for the analysis of crime (point) incident locations developed by Ned Levine (funded by NIJ). http://www.nedlevine.com The program, the manual, and sample data sets can be downloaded from the NIJ and ICPSR at: http://www.icpsr.umich.edu/nacjd/crimestat.html This is one of the most, if not the most, frequently downloaded software products from ICPSR Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 59

CrimeStat CrimeStat is Windows-based and interfaces with most desktop GIS programs. Inputs: The program inputs incident locations (e.g., robbery locations) in 'dbf', 'shp', ASCII or ODBC-compliant (Open DataBase Connectivity Microsoft) formats using either spherical or projected coordinates. Outputs: It calculates various spatial statistics and writes graphical objects to ArcView/ArcGIS, MapInfo, Atlas*GIS, Surfer for Windows, and Spatial Analyst. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 60

CrimeStat is a spatial statistics package which can analyze crime incident location data. Its purpose is to provide a variety of tools for the spatial analysis of crime incidents or other point locations. CrimeStat has a collection of statistical tools for the analysis of point/incident locations and includes a range of diagnostic and modeling spatial statistics, including statistics for measuring spatial distribution, for examining distances between incident locations, for detecting hot spots, for interpolating one-variable and two-variable density surfaces, and for analyzing space-time interactions. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 61

CrimeStat Organization: Data Set up Spatial Description Spatial Modeling Crime Travel Demand Modeling Options Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 62

Data Set up Primary File Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 63

Data Set up Secondary File Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 64

Data Set up Reference File Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 65

Data Set up Measurement Parameters Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 66

Spatial Description Spatial Distribution Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 67

Spatial Modeling Interpolation Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 68

Results Files Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 69

Resulting Shapefiles Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 70

Mapping the Results in ArcGIS basic data layers Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 71

Mapping the Results in ArcGIS Mean Center (MC) Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 72

Results in ArcGIS Mean Center and standard deviational ellipse Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 73

Results in ArcGIS Mean Center and standard deviational ellipse Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 74

Results in ArcGIS Neighborhood Hierarchical Clusters Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 75

Results in ArcGIS Neighborhood Hierarchical Clusters Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 76

Results in ArcGIS Kernel Density Surface (blank) Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 77

Results in ArcGIS Kernel Density Surface Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 78

Results in ArcGIS Kernel Density Surface Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 79

R See the Comprehensive R Archive Network (CRAN) http://cran.r-project.org Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 80

R Supports a very wide range of statistical techniques and is easily extensible via userdefined functions written in its own language, or using dynamically linked modules written in C, C++, Fortran. R can be used with Linux, Unix, and MicroSoft. Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 81

R See Geographical Analysis 2006 article by Roger Bivand. Lance A. Waller & Carol A. Gotway. 2004. Applied Spatial Statistics for Public Health Data. Holboken, NJ: Wiley. (selected R code to support this book) William N. Venables & Brian D. Ripley. 2004. Modern Applied Statistics with S (4 th Edition) Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 82

Roger Bivand 2006 - summary section Advancing spatial data analysis in R 1. Vitality and rapid development of R (open source) 2. Reproduciblity of research 3. Link to applied statisticians 4. Spatial data analysis community working together and exchanging ideas Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 83

R Manuals Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 84

R Spatial Data Analysis (from Bivand, 2006) Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 85

R Packages sp Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 86

R Packages spdep Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 87

R Packages geor Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 88

R Packages spgwr Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 89

R News June 2001 September 2001 Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 90

James LeSage - http://www.spatial-econometrics.com/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 91

Racial Segregation in Cape Town using Arcview 3.x and SEG (Developed by David Wong) Stephen Matthews Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 92

Basic Arcview and SEG interface Slide 93

SEG: Calculation of index D African vs. Coloured African vs. Indian African vs. White Slide 94

SEG: Spatial D for 2 groups African vs. Coloured African vs. Indian African vs. White Slide 95

SEG: Calculation of Multi-group D index 2001 1996 Slide 96

SEG: Drawing Ellipses Slide 97

SEG: Drawing Ellipses Slide 98

SEG: Drawing Ellipses Slide 99

SEG: Diversity Index H Slide 100

SEG: Mapping the Diversity Index H Slide 101

SEG: Most Diverse Ward 2001 Slide 102

SEG: Most Diverse Ward 2001 Population Group Composition of Ward #59 in 2001 African 20% White 50% Coloured 21% Indian 9% Slide 103

SEG: Least Diverse Ward 2001 Population Group Composition of Ward #89 in 2001 Coloured 0% Indian 0% White 0% African 100% Slide 104

SEG: Least Diverse Ward 2001 Population Group Composition of Ward #89 in 2001 Coloured 0% Indian 0% White 0% African 100% Slide 105

SEG: Ten Most Diverse Ward 2001 Slide 106

SEG: Ten Least Diverse Ward 2001 Slide 107

http://ua.t.u-tokyo.ac.jp/okabelab/freesat/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 108

http://www.ai-geostats.org/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 109

http://www.ai-geostats.org/ Stephen A. Matthews GISPopSci Monday June 5 2006 Slide 110

E-mail: matthews@pop.psu.edu Stephen A. Matthews GISPopSci Monday June 5 2006 The End

http://www.satscan.org/

http://www.satscan.org/

Geographical Analysis Machine http://www.ccg.leeds.ac.uk/software/gam/