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Morphisms for Quantitative Spatial Analysis

  • Book
  • © 2018

Overview

Authors:
  1. Daniel A. Griffith

    1. University of Texas at Dallas, Richardson, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Jean H. P. Paelinck

    1. George Mason University, Fairfax, VA, USA

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    You can also search for this author in PubMed   Google Scholar

  • Addresses morphisms in spatial analysis
  • Presents both spatial statistics and spatial econometrics topics
  • Features a special chapter on the relationship between spatial autocorrelation and spatial optimization
  • Includes numerous applications of space-time data analysis

Part of the book series: Advanced Studies in Theoretical and Applied Econometrics (ASTA, volume 51)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xv
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  2. Spatial Statistics

    1. Front Matter

      Pages 1-1
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    2. Introduction to Part I: Spatial Statistics

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 3-8

    3. Spatial Autocorrelation and the p-Median Problem

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 9-24

    4. Space–Time Autocorrelation

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 25-34

    5. The Relative Importance of Spatial and Temporal Autocorrelation

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 35-47

    6. The Spatial Weights Matrix and ESF

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 49-60

    7. Clustering: Spatial Autocorrelation and Location Quotients

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 61-71

    8. Spatial Autocorrelation Parameter Estimation for Massively Large Georeferenced Datasets

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 73-87

    9. Space–Time Data and Semi-saturated Fixed Effects

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 89-97

    10. Spatial Autocorrelation and Spatial Interaction Gravity Models

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 99-112

    11. General Conclusions About Spatial Statistics

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 113-121

  3. Spatial Econometrics

    1. Front Matter

      Pages 123-123
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    2. Introduction to Part II: Spatial Econometrics

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 125-126

    3. Tinbergen–Bos Systems: Combining Combinatorial Analysis with Metric Topology

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 127-147

    4. Time, Space, or Econotimespace?

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 149-166

    5. Hybrid Dynamical Systems and Control

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 167-176

    6. The W Matrix Revisited

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 177-185

    7. Clustering: Some Nonstandard Approaches

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 187-200

    8. Linear Expenditure Systems and Related Estimation Problems

      • Daniel A. Griffith, Jean H. P. Paelinck
      Pages 201-213
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Keywords

About this book

This book treats the notion of morphisms in spatial analysis, paralleling these concepts in spatial statistics (Part I) and spatial econometrics (Part II). The principal concept is morphism (e.g., isomorphisms, homomorphisms, and allomorphisms), which is defined as a structure preserving the functional linkage between mathematical properties or operations in spatial statistics and spatial econometrics, among other disciplines. The purpose of this book is to present selected conceptions in both domains that are structurally the same, even though their labelling and the notation for their elements may differ. As the approaches presented here are applied to empirical materials in geography and economics, the book will also be of interest to scholars of regional science, quantitative geography and the geospatial sciences. It is a follow-up to the book “Non-standard Spatial Statistics and Spatial Econometrics” by the same authors, which was published by Springer in 2011. 

Authors and Affiliations

  • University of Texas at Dallas, Richardson, USA

    Daniel A. Griffith

  • George Mason University, Fairfax, VA, USA

    Jean H. P. Paelinck

About the authors

Daniel A. Griffith, an Ashbel Smith Professor of Geospatial Information Science at the University of Texas at Dallas, TX, USA, has published 18 books and over 200 articles appearing in geography, statistics, mathematics, economics, and regional science journals and other outlets. Griffith served as editor of Geographical Analysis from 2009 to 2014. Among his many awards, he is a fellow of the Royal Society of Canada, the American Statistical Association, and the Guggenheim Foundation. 


Jean H. P. Paelinck is an emeritus professor of the Erasmus University Rotterdam, and most recently was a distinguished Visiting Professor at George Mason University, VA, USA. As a (co-)author and (co-)editor, he has published around fifty volumes and over 400 articles, mainly on theoretical spatial economics and spatial econometrics. Paelinck has been awarded seven honorary PhDs and numerous other international distinctions, e.g. the Walter Isard Award in Regional Science.



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