Spatial Statistics And Computational Methods

Download Spatial Statistics And Computational Methods full books in PDF, epub, and Kindle. Read online Spatial Statistics And Computational Methods ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Spatial Analysis Along Networks

Author : Atsuyuki Okabe
Publisher : John Wiley & Sons
ISBN 13 : 1119967767
Total Pages : 252 pages
Book Rating : 4.1/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Spatial Analysis Along Networks by : Atsuyuki Okabe

Download or read book Spatial Analysis Along Networks written by Atsuyuki Okabe and published by John Wiley & Sons. This book was released on 2012-07-02 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the real world, there are numerous and various events that occur on and alongside networks, including the occurrence of traffic accidents on highways, the location of stores alongside roads, the incidence of crime on streets and the contamination along rivers. In order to carry out analyses of those events, the researcher needs to be familiar with a range of specific techniques. Spatial Analysis Along Networks provides a practical guide to the necessary statistical techniques and their computational implementation. Each chapter illustrates a specific technique, from Stochastic Point Processes on a Network and Network Voronoi Diagrams, to Network K-function and Point Density Estimation Methods, and the Network Huff Model. The authors also discuss and illustrate the undertaking of the statistical tests described in a Geographical Information System (GIS) environment as well as demonstrating the user-friendly free software package SANET. Spatial Analysis Along Networks: Presents a much-needed practical guide to statistical spatial analysis of events on and alongside a network, in a logical, user-friendly order. Introduces the preliminary methods involved, before detailing the advanced, computational methods, enabling the readers a complete understanding of the advanced topics. Dedicates a separate chapter to each of the major techniques involved. Demonstrates the practicalities of undertaking the tests described in the book, using a GIS. Is supported by a supplementary website, providing readers with a link to the free software package SANET, so they can execute the statistical methods described in the book. Students and researchers studying spatial statistics, spatial analysis, geography, GIS, OR, traffic accident analysis, criminology, retail marketing, facility management and ecology will benefit from this book.

Spatial Analysis with R

Author : Tonny J. Oyana
Publisher : CRC Press
ISBN 13 : 100017347X
Total Pages : 281 pages
Book Rating : 4.0/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Spatial Analysis with R by : Tonny J. Oyana

Download or read book Spatial Analysis with R written by Tonny J. Oyana and published by CRC Press. This book was released on 2020-08-31 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spatial Analysis

Author : Tonny J. Oyana
Publisher : CRC Press
ISBN 13 : 1498707645
Total Pages : 316 pages
Book Rating : 4.4/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Spatial Analysis by : Tonny J. Oyana

Download or read book Spatial Analysis written by Tonny J. Oyana and published by CRC Press. This book was released on 2015-07-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Model-based Geostatistics

Author : Peter Diggle
Publisher : Springer Science & Business Media
ISBN 13 : 0387485368
Total Pages : 242 pages
Book Rating : 4.3/5 (874 download)

DOWNLOAD NOW!

Book Synopsis Model-based Geostatistics by : Peter Diggle

Download or read book Model-based Geostatistics written by Peter Diggle and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first book-length treatment of model-based geostatistics. The text is expository, emphasizing statistical methods and applications rather than the underlying mathematical theory. Analyses of datasets from a range of scientific contexts feature prominently, and simulations are used to illustrate theoretical results. Readers can reproduce most of the computational results in the book by using the authors' software package, geoR, whose usage is illustrated in a computation section at the end of each chapter. The book assumes a working knowledge of classical and Bayesian methods of inference, linear models, and generalized linear models.

Spatial Statistics and Computational Methods

Author : Jesper Møller
Publisher : Springer Science & Business Media
ISBN 13 : 0387218114
Total Pages : 217 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Spatial Statistics and Computational Methods by : Jesper Møller

Download or read book Spatial Statistics and Computational Methods written by Jesper Møller and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume shows how sophisticated spatial statistical and computational methods apply to a range of problems of increasing importance for applications in science and technology. It introduces topics of current interest in spatial and computational statistics, which should be accessible to postgraduate students as well as to experienced statistical researchers.

Computational and Statistical Methods for Analysing Big Data with Applications

Author : Shen Liu
Publisher : Academic Press
ISBN 13 : 0081006519
Total Pages : 208 pages
Book Rating : 4.0/5 (81 download)

DOWNLOAD NOW!

Book Synopsis Computational and Statistical Methods for Analysing Big Data with Applications by : Shen Liu

Download or read book Computational and Statistical Methods for Analysing Big Data with Applications written by Shen Liu and published by Academic Press. This book was released on 2015-11-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the scale and complexity of data sets currently being collected in areas such as health, transportation, environmental science, engineering, information technology, business and finance, modern quantitative analysts are seeking improved and appropriate computational and statistical methods to explore, model and draw inferences from big data. This book aims to introduce suitable approaches for such endeavours, providing applications and case studies for the purpose of demonstration. Computational and Statistical Methods for Analysing Big Data with Applications starts with an overview of the era of big data. It then goes onto explain the computational and statistical methods which have been commonly applied in the big data revolution. For each of these methods, an example is provided as a guide to its application. Five case studies are presented next, focusing on computer vision with massive training data, spatial data analysis, advanced experimental design methods for big data, big data in clinical medicine, and analysing data collected from mobile devices, respectively. The book concludes with some final thoughts and suggested areas for future research in big data. - Advanced computational and statistical methodologies for analysing big data are developed - Experimental design methodologies are described and implemented to make the analysis of big data more computationally tractable - Case studies are discussed to demonstrate the implementation of the developed methods - Five high-impact areas of application are studied: computer vision, geosciences, commerce, healthcare and transportation - Computing code/programs are provided where appropriate

Statistics for Spatial Data

Author : Noel Cressie
Publisher : John Wiley & Sons
ISBN 13 : 1119115183
Total Pages : 931 pages
Book Rating : 4.1/5 (191 download)

DOWNLOAD NOW!

Book Synopsis Statistics for Spatial Data by : Noel Cressie

Download or read book Statistics for Spatial Data written by Noel Cressie and published by John Wiley & Sons. This book was released on 2015-03-18 with total page 931 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley Classics Library consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. Spatial statistics — analyzing spatial data through statistical models — has proven exceptionally versatile, encompassing problems ranging from the microscopic to the astronomic. However, for the scientist and engineer faced only with scattered and uneven treatments of the subject in the scientific literature, learning how to make practical use of spatial statistics in day-to-day analytical work is very difficult. Designed exclusively for scientists eager to tap into the enormous potential of this analytical tool and upgrade their range of technical skills, Statistics for Spatial Data is a comprehensive, single-source guide to both the theory and applied aspects of spatial statistical methods. The hard-cover edition was hailed by Mathematical Reviews as an "excellent book which will become a basic reference." This paper-back edition of the 1993 edition, is designed to meet the many technological challenges facing the scientist and engineer. Concentrating on the three areas of geostatistical data, lattice data, and point patterns, the book sheds light on the link between data and model, revealing how design, inference, and diagnostics are an outgrowth of that link. It then explores new methods to reveal just how spatial statistical models can be used to solve important problems in a host of areas in science and engineering. Discussion includes: Exploratory spatial data analysis Spectral theory for stationary processes Spatial scale Simulation methods for spatial processes Spatial bootstrapping Statistical image analysis and remote sensing Computational aspects of model fitting Application of models to disease mapping Designed to accommodate the practical needs of the professional, it features a unified and common notation for its subject as well as many detailed examples woven into the text, numerous illustrations (including graphs that illuminate the theory discussed) and over 1,000 references. Fully balancing theory with applications, Statistics for Spatial Data, Revised Edition is an exceptionally clear guide on making optimal use of one of the ascendant analytical tools of the decade, one that has begun to capture the imagination of professionals in biology, earth science, civil, electrical, and agricultural engineering, geography, epidemiology, and ecology.

Spatial Relationships Between Two Georeferenced Variables

Author : Ronny Vallejos
Publisher : Springer Nature
ISBN 13 : 3030566811
Total Pages : 194 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Spatial Relationships Between Two Georeferenced Variables by : Ronny Vallejos

Download or read book Spatial Relationships Between Two Georeferenced Variables written by Ronny Vallejos and published by Springer Nature. This book was released on 2020-09-22 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers essential, systematic information on the assessment of the spatial association between two processes from a statistical standpoint. Divided into eight chapters, the book begins with preliminary concepts, mainly concerning spatial statistics. The following seven chapters focus on the methodologies needed to assess the correlation between two or more processes; from theory introduced 35 years ago, to techniques that have only recently been published. Furthermore, each chapter contains a section on R computations to explore how the methodology works with real data. References and a list of exercises are included at the end of each chapter. The assessment of the correlation between two spatial processes has been tackled from several different perspectives in a variety of applications fields. In particular, the problem of testing for the existence of spatial association between two georeferenced variables is relevant for posterior modeling and inference. One evident application in this context is the quantification of the spatial correlation between two images (processes defined on a rectangular grid in a two-dimensional space). From a statistical perspective, this problem can be handled via hypothesis testing, or by using extensions of the correlation coefficient. In an image-processing framework, these extensions can also be used to define similarity indices between images.

Spatial Statistics

Author : Mohammed A. Kalkhan
Publisher : CRC Press
ISBN 13 : 1439891117
Total Pages : 184 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!

Book Synopsis Spatial Statistics by : Mohammed A. Kalkhan

Download or read book Spatial Statistics written by Mohammed A. Kalkhan and published by CRC Press. This book was released on 2011-05-09 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geospatial information modeling and mapping has become an important tool for the investigation and management of natural resources at the landscape scale. Spatial Statistics: GeoSpatial Information Modeling and Thematic Mapping reviews the types and applications of geospatial information data, such as remote sensing, geographic information systems

Key Concepts and Techniques in GIS

Author : Jochen Albrecht
Publisher : SAGE
ISBN 13 : 1849206511
Total Pages : 121 pages
Book Rating : 4.8/5 (492 download)

DOWNLOAD NOW!

Book Synopsis Key Concepts and Techniques in GIS by : Jochen Albrecht

Download or read book Key Concepts and Techniques in GIS written by Jochen Albrecht and published by SAGE. This book was released on 2007-08-20 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Concepts and Techniques in GIS is a concise overview of the fundamental ideas that inform geographic information science. It provides detailed descriptions of the concepts and techniques that anyone using GIS software must fully understand to analyse spatial data. Short and clearly focussed chapters provide explanations of: spatial relationships and spatial data the creation of digital data, the use and access of existing data, the combination of data the use of modelling techniques and the essential functions of map algebra spatial statistics and spatial analysis geocomputation - including discussion of neural networks, cellular automata, and agent-based modelling Illustrated throughout with explanatory figures, the text also includes a glossary, cross referenced to discussion in the text. Written very much from a user′s perspective, Key Concepts and Techniques in GIS is highly readable refresher course for intermediate level students and practitioners of GIS in the social and the natural sciences.

Statistics for Spatio-Temporal Data

Author : Noel Cressie
Publisher : John Wiley & Sons
ISBN 13 : 1119243041
Total Pages : 612 pages
Book Rating : 4.1/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Statistics for Spatio-Temporal Data by : Noel Cressie

Download or read book Statistics for Spatio-Temporal Data written by Noel Cressie and published by John Wiley & Sons. This book was released on 2015-11-02 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 2013 DeGroot Prize. A state-of-the-art presentation of spatio-temporal processes, bridging classic ideas with modern hierarchical statistical modeling concepts and the latest computational methods Noel Cressie and Christopher K. Wikle, are also winners of the 2011 PROSE Award in the Mathematics category, for the book “Statistics for Spatio-Temporal Data” (2011), published by John Wiley and Sons. (The PROSE awards, for Professional and Scholarly Excellence, are given by the Association of American Publishers, the national trade association of the US book publishing industry.) Statistics for Spatio-Temporal Data has now been reprinted with small corrections to the text and the bibliography. The overall content and pagination of the new printing remains the same; the difference comes in the form of corrections to typographical errors, editing of incomplete and missing references, and some updated spatio-temporal interpretations. From understanding environmental processes and climate trends to developing new technologies for mapping public-health data and the spread of invasive-species, there is a high demand for statistical analyses of data that take spatial, temporal, and spatio-temporal information into account. Statistics for Spatio-Temporal Data presents a systematic approach to key quantitative techniques that incorporate the latest advances in statistical computing as well as hierarchical, particularly Bayesian, statistical modeling, with an emphasis on dynamical spatio-temporal models. Cressie and Wikle supply a unique presentation that incorporates ideas from the areas of time series and spatial statistics as well as stochastic processes. Beginning with separate treatments of temporal data and spatial data, the book combines these concepts to discuss spatio-temporal statistical methods for understanding complex processes. Topics of coverage include: Exploratory methods for spatio-temporal data, including visualization, spectral analysis, empirical orthogonal function analysis, and LISAs Spatio-temporal covariance functions, spatio-temporal kriging, and time series of spatial processes Development of hierarchical dynamical spatio-temporal models (DSTMs), with discussion of linear and nonlinear DSTMs and computational algorithms for their implementation Quantifying and exploring spatio-temporal variability in scientific applications, including case studies based on real-world environmental data Throughout the book, interesting applications demonstrate the relevance of the presented concepts. Vivid, full-color graphics emphasize the visual nature of the topic, and a related FTP site contains supplementary material. Statistics for Spatio-Temporal Data is an excellent book for a graduate-level course on spatio-temporal statistics. It is also a valuable reference for researchers and practitioners in the fields of applied mathematics, engineering, and the environmental and health sciences.

Theory of Spatial Statistics

Author : M.N.M. van Lieshout
Publisher : CRC Press
ISBN 13 : 0429627033
Total Pages : 221 pages
Book Rating : 4.4/5 (296 download)

DOWNLOAD NOW!

Book Synopsis Theory of Spatial Statistics by : M.N.M. van Lieshout

Download or read book Theory of Spatial Statistics written by M.N.M. van Lieshout and published by CRC Press. This book was released on 2019-03-19 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Spatial Statistics: A Concise Introduction presents the most important models used in spatial statistics, including random fields and point processes, from a rigorous mathematical point of view and shows how to carry out statistical inference. It contains full proofs, real-life examples and theoretical exercises. Solutions to the latter are available in an appendix. Assuming maturity in probability and statistics, these concise lecture notes are self-contained and cover enough material for a semester course. They may also serve as a reference book for researchers. Features * Presents the mathematical foundations of spatial statistics. * Contains worked examples from mining, disease mapping, forestry, soil and environmental science, and criminology. * Gives pointers to the literature to facilitate further study. * Provides example code in R to encourage the student to experiment. * Offers exercises and their solutions to test and deepen understanding. The book is suitable for postgraduate and advanced undergraduate students in mathematics and statistics.

Handbook of Applied Spatial Analysis

Author : Manfred M. Fischer
Publisher : Springer Science & Business Media
ISBN 13 : 3642036473
Total Pages : 801 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Applied Spatial Analysis by : Manfred M. Fischer

Download or read book Handbook of Applied Spatial Analysis written by Manfred M. Fischer and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook is written for academics, researchers, practitioners and advanced graduate students. It has been designed to be read by those new or starting out in the field of spatial analysis as well as by those who are already familiar with the field. The chapters have been written in such a way that readers who are new to the field will gain important overview and insight. At the same time, those readers who are already practitioners in the field will gain through the advanced and/or updated tools and new materials and state-of-the-art developments included. This volume provides an accounting of the diversity of current and emergent approaches, not available elsewhere despite the many excellent journals and te- books that exist. Most of the chapters are original, some few are reprints from the Journal of Geographical Systems, Geographical Analysis, The Review of Regional Studies and Letters of Spatial and Resource Sciences. We let our contributors - velop, from their particular perspective and insights, their own strategies for m- ping the part of terrain for which they were responsible. As the chapters were submitted, we became the first consumers of the project we had initiated. We gained from depth, breadth and distinctiveness of our contributors’ insights and, in particular, the presence of links between them.

Spatial Statistics and Geostatistics

Author : Yongwan Chun
Publisher : SAGE
ISBN 13 : 1446272117
Total Pages : 201 pages
Book Rating : 4.4/5 (462 download)

DOWNLOAD NOW!

Book Synopsis Spatial Statistics and Geostatistics by : Yongwan Chun

Download or read book Spatial Statistics and Geostatistics written by Yongwan Chun and published by SAGE. This book was released on 2013-01-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 Focusing specifically on spatial statistics and including components for ArcGIS, R, SAS and WinBUGS, this book illustrates the use of basic spatial statistics and geostatistics, as well as the spatial filtering techniques used in all relevant programs and software. It explains and demonstrates techniques in: spatial sampling spatial autocorrelation local statistics spatial interpolation in two-dimensions advanced topics including Bayesian methods, Monte Carlo simulation, error and uncertainty. It is a systematic overview of the fundamental spatial statistical methods used by applied researchers in geography, environmental science, health and epidemiology, population and demography, and planning. A companion website includes digital R code for implementing the analyses in specific chapters and relevant data sets to run the R codes.

Applied Spatial Data Analysis with R

Author : Roger S. Bivand
Publisher : Springer Science & Business Media
ISBN 13 : 1461476186
Total Pages : 414 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Applied Spatial Data Analysis with R by : Roger S. Bivand

Download or read book Applied Spatial Data Analysis with R written by Roger S. Bivand and published by Springer Science & Business Media. This book was released on 2013-06-21 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Spatial Data Analysis with R, second edition, is divided into two basic parts, the first presenting R packages, functions, classes and methods for handling spatial data. This part is of interest to users who need to access and visualise spatial data. Data import and export for many file formats for spatial data are covered in detail, as is the interface between R and the open source GRASS GIS and the handling of spatio-temporal data. The second part showcases more specialised kinds of spatial data analysis, including spatial point pattern analysis, interpolation and geostatistics, areal data analysis and disease mapping. The coverage of methods of spatial data analysis ranges from standard techniques to new developments, and the examples used are largely taken from the spatial statistics literature. All the examples can be run using R contributed packages available from the CRAN website, with code and additional data sets from the book's own website. Compared to the first edition, the second edition covers the more systematic approach towards handling spatial data in R, as well as a number of important and widely used CRAN packages that have appeared since the first edition. This book will be of interest to researchers who intend to use R to handle, visualise, and analyse spatial data. It will also be of interest to spatial data analysts who do not use R, but who are interested in practical aspects of implementing software for spatial data analysis. It is a suitable companion book for introductory spatial statistics courses and for applied methods courses in a wide range of subjects using spatial data, including human and physical geography, geographical information science and geoinformatics, the environmental sciences, ecology, public health and disease control, economics, public administration and political science. The book has a website where complete code examples, data sets, and other support material may be found: http://www.asdar-book.org. The authors have taken part in writing and maintaining software for spatial data handling and analysis with R in concert since 2003.

Spatial Data Analysis

Author : Manfred M. Fischer
Publisher : Springer Science & Business Media
ISBN 13 : 3642217206
Total Pages : 85 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!

Book Synopsis Spatial Data Analysis by : Manfred M. Fischer

Download or read book Spatial Data Analysis written by Manfred M. Fischer and published by Springer Science & Business Media. This book was released on 2011-08-05 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spatial Point Patterns

Author : Adrian Baddeley
Publisher : CRC Press
ISBN 13 : 1482210215
Total Pages : 830 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Spatial Point Patterns by : Adrian Baddeley

Download or read book Spatial Point Patterns written by Adrian Baddeley and published by CRC Press. This book was released on 2015-11-11 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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