Gravity Models of Spatial Interaction Behavior

Gravity Models of Spatial Interaction Behavior
Author: Ashish Sen
Publisher: Springer Science & Business Media
Total Pages: 586
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642798802

Gravity models describe, and hence help predict, spatial flows of commuters, air-travelers, migrants, commodities and even messages. They are one of the oldest and most widely used of all social science models. This book presents an up-to-date, consistent and unified approach to the theory, methods and application of the gravity model - which spans from the axiomatic foundations of such models all the way to practical hints for their use. "I have found no better general method for use in applied research dealing with spatial interaction... It is against this background that the present book by Sen and Smith is most welcomed." Walter Isard

Gravity and Spatial Interaction Models

Gravity and Spatial Interaction Models
Author: Kingsley E. Heynes
Publisher:
Total Pages: 88
Release: 1984
Genre:
ISBN: 9780608011417

Haynes and Fotheringham provide a comprehensive introduction to the four basic forms of gravity models. Gravity and spatial interaction -- extensively applied in forecasting -- has provided a major contribution to social science literature. The authors trace the different applications of the gravity model to market area analysis including: determining the boundaries of market areas, determining the demand for goods or services, and examining problems of operating the retail model. Six fully-developed, real-life examples of the use of these models are presented: planning a new service, defining retail shopping boundaries, forecasting migration and voting patterns, examining university enrollment by area, determining the optimal size of a shopping complex, and locating a facility to maximize custom. The discussion is kept at an elementary mathematical level and is aimed primarily at those unacquainted with the finer workings of gravity and spatial interaction models.

Optimal Spatial Interaction and the Gravity Model

Optimal Spatial Interaction and the Gravity Model
Author: Sven Svenaeus
Publisher: Springer Science & Business Media
Total Pages: 106
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642455158

This book has grown out of a desire to explore the possibilities of using optimizing models in transportation planning. This approach has been followed throughout. Models which combine descriptive and optimizing elements are not treated. The gravity model is here studied as the solution to an optimizing model. In spite of this approach, much of the material shoula be of general interest. Algorithms are not discussed. The author has benefited from discussions with many colleagues. M. Florian suggested the term "interacti vi ty". N. F. Stewart and P. Smeds gave many valu able comments on a first draft. M. Beckmann made me think once more about the final chapters. R. Grubbstrem and K. Jornsten helped clarifYing some things in the same chapters. Remaining insufficiencies are due to the author. Gun Mannervik typed with great patience. Linkoping in October 1979 Sven Erlander ABSTRACT The book proposes extended use of optimizing models in transportation plann ing. An entropy constrained linear program for the trip distribution problem is formulated and shown to have the ordinarJ doubly constrained gravity model as its solution. Entropy is here used as a measure of interactivity, which is constrained to be at a prescribed level. In this way the variation present in the reference trip matrix is preserved. (The properties of entropy as a dispersion measure are shortly discussed. ) The detailed mathematics of the optimal solutions as well as of sensitivity and duality are given.

The Geography of Transport Systems

The Geography of Transport Systems
Author: Jean-Paul Rodrigue
Publisher: Routledge
Total Pages: 432
Release: 2013-07-18
Genre: Science
ISBN: 1136777326

Mobility is fundamental to economic and social activities such as commuting, manufacturing, or supplying energy. Each movement has an origin, a potential set of intermediate locations, a destination, and a nature which is linked with geographical attributes. Transport systems composed of infrastructures, modes and terminals are so embedded in the socio-economic life of individuals, institutions and corporations that they are often invisible to the consumer. This is paradoxical as the perceived invisibility of transportation is derived from its efficiency. Understanding how mobility is linked with geography is main the purpose of this book. The third edition of The Geography of Transport Systems has been revised and updated to provide an overview of the spatial aspects of transportation. This text provides greater discussion of security, energy, green logistics, as well as new and updated case studies, a revised content structure, and new figures. Each chapter covers a specific conceptual dimension including networks, modes, terminals, freight transportation, urban transportation and environmental impacts. A final chapter contains core methodologies linked with transport geography such as accessibility, spatial interactions, graph theory and Geographic Information Systems for transportation (GIS-T). This book provides a comprehensive and accessible introduction to the field, with a broad overview of its concepts, methods, and areas of application. The accompanying website for this text contains a useful additional material, including digital maps, PowerPoint slides, databases, and links to further reading and websites. The website can be accessed at: http://people.hofstra.edu/geotrans This text is an essential resource for undergraduates studying transport geography, as well as those interest in economic and urban geography, transport planning and engineering.

Spatial Econometric Interaction Modelling

Spatial Econometric Interaction Modelling
Author: Roberto Patuelli
Publisher: Springer
Total Pages: 466
Release: 2016-07-25
Genre: Business & Economics
ISBN: 3319301969

This contributed volume applies spatial and space-time econometric methods to spatial interaction modeling. The first part of the book addresses general cutting-edge methodological questions in spatial econometric interaction modeling, which concern aspects such as coefficient interpretation, constrained estimation, and scale effects. The second part deals with technical solutions to particular estimation issues, such as intraregional flows, Bayesian PPML and VAR estimation. The final part presents a number of empirical applications, ranging from interregional tourism competition and domestic trade to space-time migration modeling and residential relocation.

Methods of Interregional and Regional Analysis

Methods of Interregional and Regional Analysis
Author: Walter Isard
Publisher: Taylor & Francis
Total Pages: 515
Release: 2017-07-05
Genre: Political Science
ISBN: 1351917900

This landmark textbook introduces students to the principles of regional science and focuses on the key methods used in regional analysis, including regional and interregional input-output analysis, econometrics (regional and spatial), programming and industrial and urban complex analysis, gravity and spatial interaction models, SAM and social accounting (welfare) analysis and applied general interregional equilibrium models. The coherent development of the materials contained in the set of chapters provides students with a comprehensive background and understanding of how to investigate key regional problems. For the research scholar, this publication constitutes an up-to-date source book of the basic elements of each major regional science technique. More significant, it points to new directions for future research and ways interregional and regional analytic approaches can be fused to realise much more probing attacks on regional and spatial problems - a contribution far beyond what is available in the literature.

Interaction, Evolution and Chaos in Space

Interaction, Evolution and Chaos in Space
Author: Peter Nijkamp
Publisher: Springer Science & Business Media
Total Pages: 282
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642775098

For many decades scholars from various disciplines have been intrigued by the question whether there are unifying principles or models that have a validity in different disciplines. The building of such analytical frameworks bridging the gaps between scientific traditions is a very ambitious task and has not been very successful up till now. In the past - in a static context - several such principles have been defined and advocated at the edge of the natural sciences on the one hand and social sciences (in particular, economics and geography) on the other hand, mainly based on the paradigm of 'social physics'. Some important contributions to the integration of the spatial systems sciences and physics can be found in gravity theory and entropy theory, which have formed the comer stones of interaction models in space. This book is about spatial interaction models. It describes the origin, the history and the correspondence of such models from a 'social physics' perspective. It is emphasized that such models need a clear behavioural underpinning as a sine qua non for a valid use in spatial systems analysis. This view also explains the use of micro-based disaggregate choice models as a tool for analyzing spatial systems. This is mainly analyzed in Part A of this book.

Gravity and Spatial Interaction Models

Gravity and Spatial Interaction Models
Author: Kingsley E. Haynes
Publisher: SAGE Publications, Incorporated
Total Pages: 96
Release: 1984-07
Genre: Business & Economics
ISBN:

Haynes and Fotheringham provide an introduction to gravity and spatial interaction models which are extensively applied in forecasting. They trace the different applications of the gravity model to market area analysis, developing real-life examples of the use of these models: planning a new service, defining retail shopping boundaries, forecasting migration and voting patterns, examining university enrollment by area, determining the optimal size of a shopping complex, and locating a facility for best results.

Entropy in Urban and Regional Modelling (Routledge Revivals)

Entropy in Urban and Regional Modelling (Routledge Revivals)
Author: Alan Wilson
Publisher: Routledge
Total Pages: 175
Release: 2013-01-11
Genre: Mathematics
ISBN: 1136498524

First published in 1970, this groundbreaking investigation into Entropy in Urban and Regional Modelling provides an extensive and detailed insight into the entropy maximising method in the development of a whole class of urban and regional models. The book has its origins in work being carried out by the author in 1966, when he realised that the well-known gravity model could be derived on the basis of an analogy with statistical, rather than Newtonian, mechanics. Subsequent investigation demonstrated that the entropy maximising method stems from an even higher level of generality, and the beginning of the book is devoted to an account of its importance and use as a general modelling tool. This reissue will be welcomed by a range of students and professionals from fields as diverse as urban and regional studies, economics, geography, planning, civil engineering, mathematics and statistics.