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.
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
Daniel A. Griffith
Spatial statistics Spatial econometrics Spatial analysis Morphisms in spatial analysis Applied spatial analysis Space-time autocorrelation Space-time data Semi-Saturated Fixed Effects Large georeferenced datasets Tinbengen-Bos systems Time-space in econometrics Hybrid dynamical systems Non-standard clustering Linear expenditure systems Structural indicators