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Spatial Statistics and Geostatistics

Spatial Statistics and Geostatistics
Theory and Applications for Geographic Information Science and Technology

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January 2013 | 200 pages | SAGE Publications Ltd

Spatial Statistics and Geostatistics is the definitive text on spatial statistics. Its focus is on spatial statistics as a distinct form of statistical analysis and it includes computer components for ArcGIS, R, SAS, and WinBUGS. The teaching and learning objective of the text is to illustrate the use of basic spatial statistics and geostatistics, as well as the spatial filtering techniques used in all the relevant programs and software.

The text is a systematic overview of the canonical spatial statistical and geostatistical methods. It explains and demonstrates methods and techniques in spatial sampling; spatial autocorrelation; spatial composition (heterogeneity, homogeneity) and configuration (contiguity), spatially adjusted regression and related spatial econometrics; local statistics: hot and cold spots; geostatistics and related techniques in measuring spatial variance and co-variance; and methods for spatial interpolation in two-dimensions. A concluding section discusses advanced topics in spatial statistics: these include Bayesian methods, the Monte Carlo simulation, and error and uncertainty.

Fully explanatory, Spatial Statistics and Geostatistics uses boxed computer code, diagrams, illustrations; and includes further readings. Case study and exemplary materials and data sets are also included.

About the Authors
Spatial Statistics and Geostatistics
R Basics
Spatial Autocorrelation
Indices Measuring Spatial Dependency
Important Properties of MC

Relationships Between MC And GR, and MC and Join Count Statistics

Graphic Portrayals: The Moran Scatterplot and the Semi-variogram Plot
Impacts of Spatial Autocorrelation
Testing for Spatial Autocorrelation in Regression Residuals
R Code for Concept Implementations
Spatial Sampling
Selected Spatial Sampling Designs
Puerto Rico DEM Data
Properties of the Selected Sampling Designs: Simulation Experiment Results
Sampling Simulation Experiments On A Unit Square Landscape

Sampling Simulation Experiments On A Hexagonal Landscape Structure

Resampling Techniques: Reusing Sampled Data
The Bootstrap

The Jackknife

Spatial Autocorrelation and Effective Sample Size
R Code for Concept Implementations
Spatial Composition and Configuration
Spatial Heterogeneity: Mean and Variance

Testing for Heterogeneity Over a Plane: Regional Supra-Partitionings

Establishing a Relationship to the Superpopulation

A Null Hypothesis Rejection Case With Heterogeneity

Testing for Heterogeneity Over a Plane: Directional Supra-Partitionings

Covariates Across a Geographic Landscape

Spatial Weights Matrices
Weights Matrices for Geographic Distributions

Weights Matrices for Geographic Flows

Spatial Heterogeneity: Spatial Autocorrelation
Regional Differences

Directional Differences: Anisotropy

R Code for Concept Implementations
Spatially Adjusted Regression And Related Spatial Econometrics
Linear Regression
Nonlinear Regression
Binomial/Logistic Regression

Poisson/Negative Binomial Regression

Geographic Distributions

Geographic Flows: A Journey-To-Work Example

R Code for Concept Implementations
Local Statistics: Hot And Cold Spots
Multiple Testing with Positively Correlated Data
Local Indices of Spatial Association
Getis-Ord Statistics
Spatially Varying Coefficients
R Code For Concept Implementations
Analyzing Spatial Variance And Covariance With Geostatistics And Related Techniques
Semi-variogram Models
DEM Elevation as a Covariate

Landsat 7 ETM+ Data as a Covariate

Spatial Linear Operators
Multivariate Geographic Data

Eigenvector Spatial Filtering: Correlation Coefficient Decomposition
R Code for Concept Implementations
Methods For Spatial Interpolation In Two Dimensions
Kriging: An Algebraic Basis
The EM Algorithm
Spatial Autoregression: A Spatial EM Algorithm
Eigenvector Spatial Filtering: Another Spatial EM Algorithm
R Code for Concept Implementations
More Advanced Topics In Spatial Statistics
Bayesian Methods for Spatial Data
Markov Chain Monte Carlo Techniques

Selected Puerto Rico Examples

Designing Monte Carlo Simulation Experiments
A Monte Carlo Experiment Investigating Eigenvector Selection when Constructing a Spatial Filter

A Monte Carlo Experiment Investigating Eigenvector Selection from a Restricted Candidate Set of Vectors

Spatial Error: A Contributor to Uncertainty
R Code for Concept Implementations


Companion Website
Includes digital R code for implementing the analyses in specific chapters as well as relevant data sets to run the R codes.

This book is ideal for anyone who wishes to gain a practical understanding of spatial statistics and geostatistics. Difficult concepts are well explained and supported by excellent examples in R code, allowing readers to see how each of the methods is implemented in practice.
Professor Tao Cheng
University College London

This text is a remarkable roadmap to the methods of spatial statistics and in particular, the technique of spatial filtering. The included case studies and computer code make the book extraordinarily interactive and will benefit both students and applied researchers across many disciplines.
W. Ryan Davis
PhD Candidate in Economics, University of Texas at Dallas

This is a valuable and enjoyable addition to applied spatial statistics, particularly because the reader, or rather user, of the book can see exactly what the authors are doing, and so may reproduce all the analyses using the code provided.
Professor Roger S. Bivand
Norges Handelshøyskole Norwegian School of Economics

SAGE has a long tradition of publishing accessible texts explaining key concepts in statistics. This book is in my opinion very useful. I particularly like the choice of statistical problems, the focus on one region to explain a series of problems and the availability of R code, which makes it easy for the reader to reproduce the analysis.

Sietse O Los
Swansea University, UK

Statistical software R is increasing its popularity in scientific community. Nowadays more and more researchers, geographers and GIS analysts are using R for spatial statistics. Therefore, it is important to provide geography and GIS students an opportunity to study also R applications as well. This textbook provides basic tools for applying R for spatial statistics. In addition, this book has brief examples and short strings of codes to apply. This book suites well to advanced level geography and GIS students which are interested in quantitative approach. Together, this book is handy also for PhD candidates utilizing spatial statistics in their work.

Dr Petteri Muukkonen
Department of Geography, University of Helsinki
December 8, 2015

An introduction to R software is very short and I guess students have to know the basics of R before. On the other hand it is great that R code and all the necessary datasets are available online. Still it is too advanced for our students, mainly because they are not used to work in R yet.

Mr David Fiedor
Geography , Palacky University in Olomouc
September 28, 2015

The book spatial statistics and geostatistics is an essential resource for undergraduate and postgraduate students as well as early researcher, because the authors provide a comprehensive overview of spatial statistics and geostatistics. The book provides an excellent overview, supported by excellent examples. A really useful textbook.

Dr Thomas Thaler
Institute of Mountain Risk Engineering, University of Life Sciences and Natural Resources, Vienna
July 3, 2015

The book is extremely well done, very clear and very helpful, but pretty much advanced. As we are currently developing R skills among students, we are likely to adopt the book in the near future, but for the moment it is too advanced.

Dr Luana Russo
Department of Political Science, Maastricht University
March 20, 2015

The text is a supplementary reading for social sciences students, since it develops the statistical foundations behind most of the techniques employed in social sciences.

Dr Rodrigo Rodrigues-Silveira
Lateinamerika-Institut, Free University of Berlin
February 6, 2014

Too technical for this level

Dr Richard Harris
School of Geographical Sciences, Bristol University
January 9, 2014

I quite liked this book and learned some useful things from it. However, it's also rather quirky (eclectic) and not always very clearly written. To me it lacked a clear sense of cohesion or logic to the chapters. Most annoyingly, as far as I can tell the data used in the book are not available anywhere - where to get it isn't mentioned - which renders the R code a bit pointless.

Dr Richard Harris
School of Geographical Sciences, Bristol University
January 9, 2014

Yongwan Chun

Daniel A. Griffith