Download or read book Optimal Spatial Interaction and the Gravity Model written by Sven Svenaeus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Optimal Spatial Interaction and the Gravity Model written by F. Svenaeus and published by Springer. This book was released on 2014-03-12 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Gravity and Spatial Interaction Models written by Kingsley E. Haynes and published by SAGE Publications, Incorporated. This book was released on 1984-07 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Gravity Models of Spatial Interaction Behavior written by Ashish Sen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Spatial Interaction Modelling written by John R. Roy and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author's strong commitment to the multi-disciplinary field of regional science emerges to provide a unifying framework between spatial modelling traditions from quantitative geography and those from spatial economics, whereby each is enhanced. Starting with a detailed discussion of each field illustrated with numerical examples, the two traditions are brought together by either making the economic models probabilistic or transforming the objectives of the geographic models to reflect both utility theory and production theory. The ideas are applied to develop urban models of activity analysis, face-to-face contacts and housing supply, as well as regional models in the areas of input-output analysis, imperfect competition and interregional migration.
Download or read book Gravity and Spatial Interaction Models written by Kingsley E. Haynes and published by . This book was released on 1988 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Spatial Interaction and the Gravity Model written by P. N. Smith and published by . This book was released on 1981 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spatial Interaction Theory and Planning Models written by Anders Karlqvist and published by North-Holland. This book was released on 1978 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geography of Transport Systems written by Jean-Paul Rodrigue and published by Routledge. This book was released on 2013-07-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spatial Interaction Models Formulations and Applications written by A. Fotheringham and published by . This book was released on 1989 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book OPTIMAL SPACTIAL INTERACTION AND THE GRAVITY MODEL written by Sven ERALNDER and published by . This book was released on 1980 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods of Interregional and Regional Analysis written by Walter Isard and published by Taylor & Francis. This book was released on 2017-07-05 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spatial Structure and Spatial Interaction written by Engdawork Desta and published by . This book was released on 1988 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gravity Models in the Study of Spatial Interaction written by Sotiria Koloutsou and published by . This book was released on 1990 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spatial Interaction Modelling written by John R. Roy and published by Springer Science & Business Media. This book was released on 2004-01-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author's strong commitment to the multi-disciplinary field of regional science emerges to provide a unifying framework between spatial modelling traditions from quantitative geography and those from spatial economics, whereby each is enhanced. Starting with a detailed discussion of each field illustrated with numerical examples, the two traditions are brought together by either making the economic models probabilistic or transforming the objectives of the geographic models to reflect both utility theory and production theory. The ideas are applied to develop urban models of activity analysis, face-to-face contacts and housing supply, as well as regional models in the areas of input-output analysis, imperfect competition and interregional migration.
Download or read book Discussion Gravity and Potential Models of Spatial Interaction written by Howard L. Green and published by . This book was released on 1956 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integrating Gravity written by Jean-François Arvis and published by . This book was released on 2017 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper revisits the ubiquitous bi-proportional gravity model and investigates the reasons why different theoretical frameworks may lead to the same empirical formula. The generic gravity equation possesses scale invariance symmetries that constrain possible theoretical explanations based on optimal allocation principles, such as neoclassical or probabilistic frameworks. These constraints imply that a representative consumer's utilities must be separable, and that an entropy model is the only consistent maximum likelihood allocation of a matrix of flows between origin and destination. The paper explores the feasibility of wider classes of non-scale invariant gravity equations, where gravity is no longer bi-proportional by including nonlinear interactions between trade costs and fundamental country factors such as economic size. It shows that such extensions are feasible but that they do not result in a significant improvement in the explanatory power of the empirical analysis.
