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Title:
Geographic information analysis
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New York : John Wiley & Sons, 2003
ISBN:
9780471211761
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FSK30000001011 G70.212 O88 2002 Open Access Book Gift Book
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30000010023243 G70.212 O88 2002 Open Access Book Book
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Summary

Summary

Clear, up-to-date coverage of methods for analyzing geographical information in a GIS context

Geographic Information Analysis presents clear and up-to-date coverage of the foundations of spatial analysis in a geographic information systems environment. Focusing on the universal aspects of spatial data and their analysis, this book covers the scientific assumptions and limitations of methods available in many geographic information systems.

Throughout, the fundamental idea of a map as a realization of a spatial stochastic process is central to the discussion. Key spatial concepts are covered, including point pattern, line objects and networks, area objects, and continuous fields. Analytical techniques for each of these are addressed, as are methods for combining maps, exploring multivariate data, and performing computationally intensive analysis. Appendixes provide primers on basic statistics and linear algebra using matrices.

Complete with chapter objectives, summaries, "thought exercises," a wealth of explanatory diagrams, and an annotated bibliography, Geographic Information Analysis is a practical book for students, as well as a valuable resource for researchers and professionals in the industry.


Author Notes

David O'Sullivan is Assistant Professor of Geography at The Pennsylvania State University in University Park, Pennsylvania.


Table of Contents

Prefacep. ix
1 Geographic Information Analysis and Spatial Datap. 1
Chapter Objectivesp. 1
1.1 Introductionp. 2
1.2 Spatial Data Typesp. 4
1.3 Scales for Attribute Descriptionp. 11
1.4 GIS Analysis, Spatial Data Manipulation, and Spatial Analysisp. 17
1.5 Conclusionp. 22
Chapter Reviewp. 23
Referencesp. 24
2 The Pitfalls and Potential of Spatial Datap. 26
Chapter Objectivesp. 26
2.1 Introductionp. 27
2.2 The Bad News: The Pitfalls of Spatial Datap. 28
2.3 The Good News: The Potential of Spatial Datap. 34
2.4 Preview: The Variogram Cloud and the Semivariogramp. 45
Chapter Reviewp. 49
Referencesp. 49
3 Fundamentals: Maps as Outcomes of Processesp. 51
Chapter Objectivesp. 51
3.1 Introductionp. 52
3.2 Processes and the Patterns They Makep. 53
3.3 Predicting the Pattern Generated by a Processp. 58
3.4 More Definitionsp. 64
3.5 Stochastic Processes in Lines, Areas, and Fieldsp. 66
3.6 Conclusionp. 73
Chapter Reviewp. 75
Referencesp. 75
4 Point Pattern Analysisp. 77
Chapter Objectivesp. 77
4.1 Introductionp. 78
4.2 Describing a Point Patternp. 79
4.3 Density-Based Point Pattern Measuresp. 81
4.4 Distance-Based Point Pattern Measuresp. 88
4.5 Assessing Point Patterns Statisticallyp. 95
4.6 Two Critiques of Spatial Statistical Analysisp. 108
4.7 Conclusionp. 110
Chapter Reviewp. 112
Referencesp. 113
5 Practical Point Pattern Analysisp. 115
Chapter Objectivesp. 115
5.1 Point Pattern Analysis versus Cluster Detectionp. 116
5.2 Extensions of Basic Point Pattern Measuresp. 123
5.3 Using Density and Distance: Proximity Polygonsp. 126
5.4 Note on Distance Matrices and Point Pattern Analysisp. 129
5.5 Conclusionp. 132
Chapter Reviewp. 132
Referencesp. 133
6 Lines and Networksp. 135
Chapter Objectivesp. 135
6.1 Introductionp. 136
6.2 Representing and Storing Linear Entitiesp. 137
6.3 Line Length: More Than Meets the Eyep. 142
6.4 Connection in Line Data: Trees and Graphsp. 152
6.5 Statistical Analysis of Geographical Line Datap. 161
6.6 Conclusionp. 163
Chapter Reviewp. 164
Referencesp. 165
7 Area Objects and Spatial Autocorrelationp. 167
Chapter Objectivesp. 167
7.1 Introductionp. 168
7.2 Types of Area Objectp. 169
7.3 Geometric Properties of Areasp. 173
7.4 Spatial Autocorrelation: Introducing the Joins Count Approachp. 180
7.5 Fully Worked Example: The 2000 U.S. Presidential Electionp. 192
7.6 Other Measures of Spatial Autocorrelationp. 196
7.7 Local Indicators of Spatial Associationp. 203
Chapter Reviewp. 205
Referencesp. 206
8 Describing and Analyzing Fieldsp. 209
Chapter Objectivesp. 209
8.1 Introductionp. 210
8.2 Modeling and Storing Field Datap. 213
8.3 Spatial Interpolationp. 220
8.4 Derived Measures on Surfacesp. 234
8.5 Conclusionp. 242
Chapter Reviewp. 243
Referencesp. 244
9 Knowing the Unknowable: The Statistics of Fieldsp. 246
Chapter Objectivesp. 246
9.1 Introductionp. 247
9.2 Review of Regressionp. 248
9.3 Regression on Spatial Coordinates: Trend Surface Analysisp. 256
9.4 Statistical Approach to Interpolation: Krigingp. 265
9.5 Conclusionp. 281
Chapter Reviewp. 282
Referencesp. 283
10 Putting Maps Together: Map Overlayp. 284
Chapter Objectivesp. 284
10.1 Introductionp. 285
10.2 Polygon Overlay and Sieve Mappingp. 287
10.3 Problems in Simple Boolean Polygon Overlayp. 302
10.4 Toward a General Model: Alternatives to Boolean Overlayp. 304
10.5 Conclusionp. 311
Chapter Reviewp. 312
Referencesp. 312
11 Multivariate Data, Multidimensional Space, and Spatializationp. 315
Chapter Objectivesp. 315
11.1 Introductionp. 316
11.2 Multivariate Data and Multidimensional Spacep. 317
11.3 Distance, Difference, and Similarityp. 323
11.4 Cluster Analysis: Identifying Groups of Similar Observationsp. 327
11.5 Spatialization: Mapping Multivariate Datap. 336
11.6 Reducing the Number of Variables: Principal Components Analysisp. 343
11.7 Conclusionp. 352
Chapter Reviewp. 353
Referencesp. 355
12 New Approaches to Spatial Analysisp. 356
Chapter Objectivesp. 356
12.1 Introductionp. 357
12.2 Geocomputationp. 361
12.3 Spatial Modelsp. 370
12.4 Conclusionp. 378
Chapter Reviewp. 379
Referencesp. 380
A The Elements of Statisticsp. 384
A.1 Introductionp. 384
A.2 Describing Datap. 388
A.3 Probability Theoryp. 392
A.4 Processes and Random Variablesp. 396
A.5 Sampling Distributions and Hypothesis Testingp. 402
A.6 Examplep. 406
Referencep. 411
B Matrices and Matrix Mathematicsp. 412
B.1 Introductionp. 412
B.2 Matrix Basics and Notationp. 412
B.3 Simple Mathematicsp. 415
B.4 Solving Simultaneous Equations Using Matricesp. 420
B.5 Matrices, Vectors, and Geometryp. 425
Referencep. 430
Indexp. 431