Case Studies in Spatial Point Process Modeling

Dietrich Stoyan (auth.), Adrian Baddeley, Pablo Gregori, Jorge Mateu, Radu Stoica, Dietrich Stoyan (eds.)9780387283111, 0387283110

Point process statistics is successfully used in fields such as material science, human epidemiology, social sciences, animal epidemiology, biology, and seismology. Its further application depends greatly on good software and instructive case studies that show the way to successful work. This book satisfies this need by a presentation of the spatstat package and many statistical examples.

Researchers, spatial statisticians and scientists from biology, geosciences, materials sciences and other fields will use this book as a helpful guide to the application of point process statistics. No other book presents so many well-founded point process case studies.

Adrian Baddeley is Professor of Statistics at the University of Western Australia (Perth, Australia) and a Fellow of the Australian Academy of Science. His main research interests are in stochastic geometry, stereology, spatial statistics, image analysis and statistical software.

Pablo Gregori is senior lecturer of Statistics and Probability at the Department of Mathematics, University Jaume I of Castellon. His research fields of interest are spatial statistics, mainly on spatial point processes, and measure theory of functional analysis.

Jorge Mateu is Assistant Professor of Statistics and Probability at the Department of Mathematics, University Jaume I of Castellon and a Fellow of the Spanish Statistical Society and of Wessex Institute of Great Britain. His main research interests are in stochastic geometry and spatial statistics, mainly spatial point processes and geostatistics.

Radu Stoica obtained his Ph.D. in 2001 from the University of Nice Sophia Anitpolis. He works within the biometry group at INRA Avignon. His research interests are related to the study and the simulation of point processes applied to pattern modeling and recognition. The aimed application domains are image processing, astronomy and environmental sciences.

Dietrich Stoyan is Professor of Applied Stochastics at TU Bergakademie Freiberg, Germany. Since the end of the 1970s he has worked in the fields of stochastic geometry and spatial statistics.

Table of contents :
Front Matter….Pages 1-1
Fundamentals of Point Process Statistics….Pages 3-22
Modelling Spatial Point Patterns in R….Pages 23-74
Front Matter….Pages 75-75
Strong Markov Property of Poisson Processes and Slivnyak Formula….Pages 77-84
Bayesian Analysis of Markov Point Processes….Pages 85-97
Statistics for Locally Scaled Point Processes….Pages 99-123
Nonparametric Testing of Distribution Functions in Germ-grain Models….Pages 125-133
Principal Component Analysis for Spatial Point Processes — Assessing the Appropriateness of the Approach in an Ecological Context….Pages 135-150
Front Matter….Pages 151-151
On Modelling of Refractory Castables by Marked Gibbs and Gibbsian-like Processes….Pages 153-167
Source Detection in an Outbreak of Legionnaire’s Disease….Pages 169-182
Doctors’ Prescribing Patterns in the Midi-Pyrénées rRegion of France: Point-process Aggregation….Pages 183-195
Strain-typing Transmissible Spongiform Encephalopathies Using Replicated Spatial Data….Pages 197-214
Modelling the Bivariate Spatial Distribution of Amacrine Cells….Pages 215-233
Analysis of Spatial Point Patterns in Microscopic and Macroscopic Biological Image Data….Pages 235-260
Spatial Marked Point Patterns for Herd Dispersion in a Savanna Wildlife Herbivore Community in Kenya….Pages 261-273
Diagnostic Analysis of Space-Time Branching Processes for Earthquakes….Pages 275-292
Assessing Spatial Point Process Models Using Weighted K -functions: Analysis of California Earthquakes….Pages 293-306