The Statistical Analysis Of Spatial Pattern

Author : M. S. Bartlett
Publisher : Springer Science & Business Media
Page : 98 pages
File Size : 42,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789400957558

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The Statistical Analysis of Spatial Pattern by M. S. Bartlett Pdf

In a contribution (Bartlett, 1971 a) to the Symposium on Statistical Ecology at Yale in 1969, I noted in my introductory remarks that that paper was not intended to be in any way a review of statistical techniques for analysing spatial patterns. My contribution to a conference at Sheffield in 1973 aimed, at least in part, to supply such a review and forms the basis of this monograph; but in these prefatory remarks I must still make clear what I decided to discuss, and what I have omitted. Broadly speaking, the coverage is that included in seminars and lectures I have given on this theme since 1969. We may divide problems of spatial pattern (in contrast with complete random chaos) into (i) detecting departures from randomness, Oi) analysing such departures when detected, for example, in relation to some stochastic model and (iii) special problems which require separate consideration; for example, sophisticated problems of pattern recognition in specific fields, such as the computer reading of handwriting or recognition of chromosomes.

Author : Peter Diggle
Publisher : Hodder Education
Page : 159 pages
File Size : 51,9 Mb
Release : 2003
Category : Mathematics
ISBN : 0340740701

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Statistical Analysis of Spatial Point Patterns by Peter Diggle Pdf

This is a new edition of the classic monograph, published in 1983, that described those statistical methods that are used to analyse spatial data. This edition has been entirely updated with the latest developments in the analysis of spatial data which have grown to become a large area of concern in environmental and epidemiological research. There is a website connected with the volume that contains additional data sets and a new chapter on spatial epidemiology. It is appropriate for graduate level statisticians in various disciplines.

Author : Dr. Janine Illian,Prof. Antti Penttinen,Dr. Helga Stoyan,Dr. Dietrich Stoyan
Publisher : John Wiley & Sons
Page : 560 pages
File Size : 51,7 Mb
Release : 2008-04-15
Category : Mathematics
ISBN : 047072515X

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Statistical Analysis and Modelling of Spatial Point Patterns by Dr. Janine Illian,Prof. Antti Penttinen,Dr. Helga Stoyan,Dr. Dietrich Stoyan Pdf

Spatial point processes are mathematical models used to describe and analyse the geometrical structure of patterns formed by objects that are irregularly or randomly distributed in one-, two- or three-dimensional space. Examples include locations of trees in a forest, blood particles on a glass plate, galaxies in the universe, and particle centres in samples of material. Numerous aspects of the nature of a specific spatial point pattern may be described using the appropriate statistical methods. Statistical Analysis and Modelling of Spatial Point Patterns provides a practical guide to the use of these specialised methods. The application-oriented approach helps demonstrate the benefits of this increasingly popular branch of statistics to a broad audience. The book: Provides an introduction to spatial point patterns for researchers across numerous areas of application Adopts an extremely accessible style, allowing the non-statistician complete understanding Describes the process of extracting knowledge from the data, emphasising the marked point process Demonstrates the analysis of complex datasets, using applied examples from areas including biology, forestry, and materials science Features a supplementary website containing example datasets. Statistical Analysis and Modelling of Spatial Point Patterns is ideally suited for researchers in the many areas of application, including environmental statistics, ecology, physics, materials science, geostatistics, and biology. It is also suitable for students of statistics, mathematics, computer science, biology and geoinformatics.

Author : Shashi Shekhar,Hui Xiong
Publisher : Springer Science & Business Media
Page : 1392 pages
File Size : 54,9 Mb
Release : 2007-12-12
Category : Computers
ISBN : 9780387308586

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Encyclopedia of GIS by Shashi Shekhar,Hui Xiong Pdf

The Encyclopedia of GIS provides a comprehensive and authoritative guide, contributed by experts and peer-reviewed for accuracy, and alphabetically arranged for convenient access. The entries explain key software and processes used by geographers and computational scientists. Major overviews are provided for nearly 200 topics: Geoinformatics, Spatial Cognition, and Location-Based Services and more. Shorter entries define specific terms and concepts. The reference will be published as a print volume with abundant black and white art, and simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features.

Author : Adrian Baddeley,Ege Rubak,Rolf Turner
Publisher : CRC Press
Page : 830 pages
File Size : 44,5 Mb
Release : 2015-11-11
Category : Mathematics
ISBN : 9781482210217

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Spatial Point Patterns by Adrian Baddeley,Ege Rubak,Rolf Turner Pdf

Modern Statistical Methodology and Software for Analyzing Spatial Point PatternsSpatial Point Patterns: Methodology and Applications with R shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on th

Author : Peter Diggle
Publisher : Unknown
Page : 166 pages
File Size : 51,9 Mb
Release : 1983
Category : Mathematics
ISBN : MINN:31951000339469D

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Statistical Analysis of Spatial Point Patterns by Peter Diggle Pdf

Introduction; Preliminary testing for mapped patterns; Analysis of sparsely sampled patterns; Spatial point processes; Analysis of mapped patterns; Multivariate spatial point processes; Analysis of multivariate patterns.

Author : Peter J. Diggle
Publisher : Unknown
Page : 195 pages
File Size : 47,6 Mb
Release : 2009
Category : Electronic
ISBN : OCLC:955060725

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Statistical Analysis of Spatial Point Patterns by Peter J. Diggle Pdf

Author : Daniel A. Griffith
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9789400927582

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Advanced Spatial Statistics by Daniel A. Griffith Pdf

In recent years there has been a growing interest in and concern for the development of a sound spatial statistical body of theory. This work has been undertaken by geographers, statisticians, regional scientists, econometricians, and others (e. g. , sociologists). It has led to the publication of a number of books, including Cliff and Ord's Spatial Processes (1981), Bartlett's The Statistical Analysis of Spatial Pattern (1975), Ripley's Spatial Statistics (1981), Paelinck and Klaassen's Spatial Economet~ics (1979), Ahuja and Schachter's Pattern Models (1983), and Upton and Fingleton's Spatial Data Analysis by Example (1985). The first of these books presents a useful introduction to the topic of spatial autocorrelation, focusing on autocorrelation indices and their sampling distributions. The second of these books is quite brief, but nevertheless furnishes an eloquent introduction to the rela tionship between spatial autoregressive and two-dimensional spectral models. Ripley's book virtually ignores autoregressive and trend surface modelling, and focuses almost solely on point pattern analysis. Paelinck and Klaassen's book closely follows an econometric textbook format, and as a result overlooks much of the important material necessary for successful spatial data analy sis. It almost exclusively addresses distance and gravity models, with some treatment of autoregressive modelling. Pattern Models supplements Cliff and Ord's book, which in combination provide a good introduction to spatial data analysis. Its basic limitation is a preoccupation with the geometry of planar patterns, and hence is very narrow in scope.

Author : Oliver Schabenberger,Carol A. Gotway
Publisher : CRC Press
Page : 512 pages
File Size : 49,9 Mb
Release : 2017-01-27
Category : Mathematics
ISBN : 9781482258134

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Statistical Methods for Spatial Data Analysis by Oliver Schabenberger,Carol A. Gotway Pdf

Understanding spatial statistics requires tools from applied and mathematical statistics, linear model theory, regression, time series, and stochastic processes. It also requires a mindset that focuses on the unique characteristics of spatial data and the development of specialized analytical tools designed explicitly for spatial data analysis. Statistical Methods for Spatial Data Analysis answers the demand for a text that incorporates all of these factors by presenting a balanced exposition that explores both the theoretical foundations of the field of spatial statistics as well as practical methods for the analysis of spatial data. This book is a comprehensive and illustrative treatment of basic statistical theory and methods for spatial data analysis, employing a model-based and frequentist approach that emphasizes the spatial domain. It introduces essential tools and approaches including: measures of autocorrelation and their role in data analysis; the background and theoretical framework supporting random fields; the analysis of mapped spatial point patterns; estimation and modeling of the covariance function and semivariogram; a comprehensive treatment of spatial analysis in the spectral domain; and spatial prediction and kriging. The volume also delivers a thorough analysis of spatial regression, providing a detailed development of linear models with uncorrelated errors, linear models with spatially-correlated errors and generalized linear mixed models for spatial data. It succinctly discusses Bayesian hierarchical models and concludes with reviews on simulating random fields, non-stationary covariance, and spatio-temporal processes. Additional material on the CRC Press website supplements the content of this book. The site provides data sets used as examples in the text, software code that can be used to implement many of the principal methods described and illustrated, and updates to the text itself.

Author : Thorsten Wiegand,Kirk A. Moloney
Publisher : CRC Press
Page : 525 pages
File Size : 51,9 Mb
Release : 2013-12-20
Category : Mathematics
ISBN : 9781420082555

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Handbook of Spatial Point-Pattern Analysis in Ecology by Thorsten Wiegand,Kirk A. Moloney Pdf

Understand How to Analyze and Interpret Information in Ecological Point PatternsAlthough numerous statistical methods for analyzing spatial point patterns have been available for several decades, they haven't been extensively applied in an ecological context. Addressing this gap, Handbook of Spatial Point-Pattern Analysis in Ecology shows how the t

Author : Tonny J. Oyana,Florence Margai
Publisher : CRC Press
Page : 316 pages
File Size : 54,8 Mb
Release : 2015-07-28
Category : Mathematics
ISBN : 9781498707640

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Spatial Analysis by Tonny J. Oyana,Florence Margai Pdf

An introductory text for the next generation of geospatial analysts and data scientists, Spatial Analysis: Statistics, Visualization, and Computational Methods focuses on the fundamentals of spatial analysis using traditional, contemporary, and computational methods. Outlining both non-spatial and spatial statistical concepts, the authors present p

Author : Tonny J. Oyana
Publisher : CRC Press
Page : 281 pages
File Size : 53,9 Mb
Release : 2020-08-31
Category : Mathematics
ISBN : 9781000173475

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Spatial Analysis with R by Tonny J. Oyana Pdf

In the five years since the publication of the first edition of Spatial Analysis: Statistics, Visualization, and Computational Methods, many new developments have taken shape regarding the implementation of new tools and methods for spatial analysis with R. The use and growth of artificial intelligence, machine learning and deep learning algorithms with a spatial perspective, and the interdisciplinary use of spatial analysis are all covered in this second edition along with traditional statistical methods and algorithms to provide a concept-based problem-solving learning approach to mastering practical spatial analysis. Spatial Analysis with R: Statistics, Visualization, and Computational Methods, Second Edition provides a balance between concepts and practicums of spatial statistics with a comprehensive coverage of the most important approaches to understand spatial data, analyze spatial relationships and patterns, and predict spatial processes. New in the Second Edition: Includes new practical exercises and worked-out examples using R Presents a wide range of hands-on spatial analysis worktables and lab exercises All chapters are revised and include new illustrations of different concepts using data from environmental and social sciences Expanded material on spatiotemporal methods, visual analytics methods, data science, and computational methods Explains big data, data management, and data mining This second edition of an established textbook, with new datasets, insights, excellent illustrations, and numerous examples with R, is perfect for senior undergraduate and first-year graduate students in geography and the geosciences.

Author : Mark R. T. Dale,Mark Randall Thomas Dale
Publisher : Cambridge University Press
Page : 340 pages
File Size : 47,8 Mb
Release : 2000-08-15
Category : Nature
ISBN : 0521794374

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Spatial Pattern Analysis in Plant Ecology by Mark R. T. Dale,Mark Randall Thomas Dale Pdf

A review and evaluation of the analysis methods for studying spatial pattern in vegetation.

Author : Klaus R. Mecke,Dietrich Stoyan
Publisher : Springer
Page : 420 pages
File Size : 45,9 Mb
Release : 2008-01-11
Category : Mathematics
ISBN : 9783540450436

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Statistical Physics and Spatial Statistics by Klaus R. Mecke,Dietrich Stoyan Pdf

Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.

Author : Manfred M. Fischer,Jinfeng Wang
Publisher : Springer Science & Business Media
Page : 80 pages
File Size : 49,8 Mb
Release : 2011-08-05
Category : Business & Economics
ISBN : 3642217206

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Spatial Data Analysis by Manfred M. Fischer,Jinfeng Wang Pdf

The availability of spatial databases and widespread use of geographic information systems has stimulated increasing interest in the analysis and modelling of spatial data. Spatial data analysis focuses on detecting patterns, and on exploring and modelling relationships between them in order to understand the processes responsible for their emergence. In this way, the role of space is emphasised , and our understanding of the working and representation of space, spatial patterns, and processes is enhanced. In applied research, the recognition of the spatial dimension often yields different and more meaningful results and helps to avoid erroneous conclusions. This book aims to provide an introduction into spatial data analysis to graduates interested in applied statistical research. The text has been structured from a data-driven rather than a theory-based perspective, and focuses on those models, methods and techniques which are both accessible and of practical use for graduate students. Exploratory techniques as well as more formal model-based approaches are presented, and both area data and origin-destination flow data are considered.