Morphisms for Quantitative Spatial Analysis

Description

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. Front Matter ....Pages i-xv Front Matter ....Pages 1-1 Introduction to Part I: Spatial Statistics (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 3-8 Spatial Autocorrelation and the p-Median Problem (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 9-24 Space–Time Autocorrelation (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 25-34 The Relative Importance of Spatial and Temporal Autocorrelation (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 35-47 The Spatial Weights Matrix and ESF (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 49-60 Clustering: Spatial Autocorrelation and Location Quotients (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 61-71 Spatial Autocorrelation Parameter Estimation for Massively Large Georeferenced Datasets (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 73-87 Space–Time Data and Semi-saturated Fixed Effects (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 89-97 Spatial Autocorrelation and Spatial Interaction Gravity Models (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 99-112 General Conclusions About Spatial Statistics (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 113-121 Front Matter ....Pages 123-123 Introduction to Part II: Spatial Econometrics (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 125-126 Tinbergen–Bos Systems: Combining Combinatorial Analysis with Metric Topology (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 127-147 Time, Space, or Econotimespace? (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 149-166 Hybrid Dynamical Systems and Control (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 167-176 The W Matrix Revisited (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 177-185 Clustering: Some Nonstandard Approaches (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 187-200 Linear Expenditure Systems and Related Estimation Problems (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 201-213 Structural Indicators Galore… (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 215-225 Traveling with the Salesman... (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 227-236 Complexer and Complexer, Said Alice … (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 237-254 General Conclusions About Spatial Econometrics (Daniel A. Griffith, Jean H. P. Paelinck)....Pages 255-258 Back Matter ....Pages 259-270