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Entropy in urban and regional modelling /
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 b...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Routledge,
2011.
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| Colección: | Routledge revivals.
Monographs in spatial and environmental systems analysis ; 1. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Entropy in Urban and Regional Modelling; Title Page; Copyright Page; Preface; Table of Contents; 1 What is entropy?; 1.1 Introduction; 1.2 Three views of entropy; 1.2.1 The relationship of entropy to probability and uncertainty; 1.2.2 The entropy of a probability distribution; 1.2.3 Entropy and Bayesian statistics; 1.3 The application of the concept of entropy; 1.3.1 Summary of types of application; 1.3.2 Hypothesis generation; 1.3.3 Interpretation of theories; 1.3.4 The role of 'entropy' in the study of system dynamics.
- 1.3.5 Review of interrelationship of entropy-maximising procedures and statistical analysis1.3.6 Other applications of the concept of 'entropy'; 2 Transport models: the theory of trip distribution, mode split, and route split; 2.1 Introduction; 2.2 The gravity model of trip distribution; 2.2.1 Derivation of the gravity model; 2.2.2 Interpretation of terms; 2.2.3 Validity of the method; 2.3 Generalised distribution models; 2.4 Modal-split implications; 2.5 Review of underlying behavioral hypotheses; 2.6 An alternative modal-split model; 2.7 Alternative estimates of composite impedance.
- 2.8 Route split2.9 Concluding comments and discussion; 2.9.1 Introduction; 2.9.2 A simple example; 2.9.3 Alternative impedance functions; 2.9.4 Alternative allocation formulas; 2.9.5 Procedure for estimating models; 2.9.6 A note on forecasting; 3 Interregional commodity flows; 3.1 Introduction; 3.1.1 The problems to be studied; 3.1.2 Relevance to other problems; 3.1.3 Notation; 3.2 Gravity models; 3.2.1 The Newtonian gravity model, and some heuristic developments; 3.2.2 The economists' gravity models; 3.2.3 Deficiencies of the gravity-model approach.
- 3.3 Derivation of the family of gravity models using entropy-maximising methods3.4 The input-output model; 3.4.1 Principles of the single-region input-output model; 3.4.2 The Leontief-Strout multiregional framework; 3.5 Integrating the gravity and input-output model approaches; 3.5.1 Introduction; 3.5.2 Case (i): the unconstrained gravity input-output model; 3.5.3 Case (ii): the production-constrained gravity input-output model; 3.5.4 Case (iii): the attraction-constrained gravity input-output model; 3.5.5 Case (iv): the production-attraction-constrained gravity input-output model.
- 3.5.6 A hybrid model for different commodity types3.6 Summary; 4 Location models; 4.1 Gravity models as location models; 4.2 Recreation; 4.3 Shopping; 4.4 Elementary models of residential location; 4.4.1 Introduction; 4.4.2 Gravity models to allocate households around workplaces; 4.4.3 A critical review; 4.4.4 Four types of location behaviour; quasi dynamics; 4.4.5 Disaggregation, with a simplifying assumption; 4.4.6 Removal of the simplifying assumption; 4.4.7 Modelling the supply side; 4.4.8 Further disaggregation; 4.4.9 Integrated models.