9 edition of **Optimal spatial interaction and the gravity model** found in the catalog.

- 188 Want to read
- 31 Currently reading

Published
**1980**
by Springer-Verlag in Berlin, New York
.

Written in English

- Transportation -- Planning -- Mathematical models.,
- Mathematical optimization.

**Edition Notes**

Statement | Sven Erlander. |

Series | Lecture notes in economics and mathematical systems ;, 173 |

Classifications | |
---|---|

LC Classifications | HE193 .E74 |

The Physical Object | |

Pagination | 107 p. ; |

Number of Pages | 107 |

ID Numbers | |

Open Library | OL4422591M |

ISBN 10 | 0387097295 |

LC Control Number | 79027068 |

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. Three problems often encountered when bilateral interaction data are analyzed by means of the log-normal gravity model: the bias created by the logarithmic transformation, the failure of the homoscedasticity assumption and the treatment of zero valued flows. When the interaction are count data type that takes non-negative integer values, to overcome these problems the literature suggests .

A spatial interaction between location A and B can occur only if three fundamental conditions are met: Complementarity. If location A produces / generates something that location B requires, then an interaction is possible because a supply / demand relationship has been established between those two locations; they have become complementary. The gravity model for cities works in the same way; the amount of interaction between two cities is proportional to the size of the cities and inversely proportional to their distance squared. This explains why cities that are far apart, such as New York and Los Angeles, still interact a lot despite being on either side of the United States.

Thus, a gravity model for spatial interaction is proposed by analogy with the law of universal gravitation. The gravity model provides an estimate of the trafﬁc between two or more regions (such as the number of trips and the quantity of commodity trade). In a spatial interaction network, the gravity model can be interpreted as the. Tatsuya KISHIMOTO, THE OPTIMAL LOCATION, SIZE, AND NUMBER OF FACILITIES WHICH MAXIMIZE LIKELIHOOD OF TANGIBLE DEMAND RATIO: Facilities location models based on spatial interaction models Part 3, Journal of Architecture and Planning (Transactions of AIJ), /aija_3, 69, , (), ().

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Buy Optimal Spatial Interaction and the Gravity Model (Lecture Notes in Economics and Mathematical Systems) on FREE SHIPPING on qualified orders Optimal Spatial Interaction and the Gravity Model (Lecture Notes in Economics and Mathematical Systems): Erlander, Sven: : BooksCited by: Optimal Spatial Interaction and the Gravity Model by This book has grown out of a desire to explore the possibilities of using optimizing models in transportation planning.

Distribution Problem.- 4 A Model for the Constraints.- 5 The Objective Function and Our Minimization Problem.- 6 The Gravity Model as the Optimal Solution of. 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. Get this from a library.

Optimal Spatial Interaction and the Gravity Model. [Sven Erlander] -- 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. Optimal spatial interaction and the gravity model. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Sven Erlander.

Pris: kr. häftad, Skickas inom vardagar. Köp boken Optimal Spatial Interaction and the Gravity Model av Sven Svenaeus (ISBN ) hos Adlibris. Fri frakt. Alltid bra priser och snabb leverans. | Adlibris.

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.

Cite this chapter as: Erlander S. () Benefit Measures and the Gravity Model. In: Optimal Spatial Interaction and the Gravity Model.

Lecture Notes in Economics and Mathematical Systems, vol The chapter examines interregional and interurban migration studies, examining hierarchical information processing use and interesting variations of the strict gravity model.

Sincea very large array of gravity and spatial interaction models has evolved. Rongxing Guo, in China's Spatial (Dis)integration, Gravity model. The gravity model is most commonly used by international and regional economists to study trade.

4 The classic early application of the model was by Linnemann (), who continued work first reported in Tinbergen () and then in Pöyhönen ().Some of the most recent work on the application of the model was Frankel. All Books. 82% Getting Things Done. David Allen. 93% You Can Heal Your Life.

Louise Hay. 80% Better. Atul Gawande. 94% Allen Carr's Easy Way to Stop Smoking. Allen Carr. 93% Crucial Conversations. Kerry Patterson, Joseph Grenny, Ron McMillan, Al Switzler.

86% Never Eat Alone. Keith Ferrazzi, Tahl Raz. 86%. Spatial interaction is the general term for any movement of people, goods, or information over space that results from a decision-making process. Specific examples include movements such as migration, shopping trips, commuting, trips for recreational purposes, trips for educational purposes, freight flows, the spatial pattern of telephone calls, emails and world-wide web connections, of the.

The gravity model is a popular mathematical model used to predict the interaction between two or more places. In geography it has been used to simulate a variety of flow patterns, such as traffic.

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. The design of zoning systems for spatial interaction models is a major problem which affects both the interpretation and acceptability of these models.

This paper demonstrates that zoning-system effects on parameter values and model performance are nontrivial, and that their magnitude is far larger than was previously thought likely.

One result of calibrating a spatial interaction model using interaction data specific to an origin i is to produce an estimate of the distance-decay parameter specific to that origin ((beta)(,i)). Spatial Interaction Theory and Planning Models Volume 3 of Studies in Logic and the Foundations of Mathematics Volume 3 of Studies in regional science and urban economics, ISSN Editor: Anders Karlqvist: Contributor: Kungl.

Tekniska högskolan. Matematiska institutionen: Edition: 2: Publisher. Identifying influential spreaders in complex networks is crucial in understanding, controlling and accelerating spreading processes for diseases. Integrating gravity: the role of scale invariance in gravity models of spatial interactions and trade (Inglês) Resumo.

This paper revisits the ubiquitous bi-proportional gravity model and investigates the reasons why different theoretical frameworks may lead to the same empirical formula. Erlander, S, Optimal Spatial Interaction and the Gravity Model (Springer, Berlin) Google Scholar | Crossref Fisk, C, Brown, G R,“A note on the entropy formulation of distribution models” Operational Research Quarterly 26 –.

Integrating gravity: the role of scale invariance in gravity models of spatial interactions and trade (English) Abstract. This paper revisits the ubiquitous bi-proportional gravity model and investigates the reasons why different theoretical frameworks may lead to the same empirical formula.

Gravity and Spatial Interaction Models (Scientific Geography Series) [Haynes, Kingsley E., Fotheringham, A. Stewart] on *FREE* shipping on qualifying offers. Gravity and Spatial Interaction Models (Scientific Geography Series).Gravity model.

predicts that the optimal location of a service is directly related to the number of people in the area and inversely related to distance people must travel for access - consumer behavior reflects that the more people in a place, greater number of customers .