Morphisms for Quantitative Spatial Analysis

• Main Authors: Griffith, Daniel A. (Author, http://id.loc.gov/vocabulary/relators/aut), Paelinck, Jean H. P. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Advanced Studies in Theoretical and Applied Econometrics, 51
• Subjects: Econometrics.; Geographical information systems.; Statistics .; Regional economics.; Spatial economics.; Geographical Information Systems/Cartography.; Statistics for Social Sciences, Humanities, Law.; Regional/Spatial Science.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Humanities and Social Sciences, multidisciplinary.
• Physical Description: XIII, 258 p. online resource.
• ISBN: 9783319725536
• ISSN: 1570-5811 ;
• DOI: 10.1007/978-3-319-72553-6

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. .