LEADER 05489oam 2200709I 450 001 9910463421103321 005 20200520144314.0 010 $a0-203-14260-8 010 $a1-283-96773-1 010 $a1-136-49853-2 024 7 $a10.4324/9780203142608 035 $a(CKB)2670000000325279 035 $a(EBL)1111668 035 $a(OCoLC)827210912 035 $a(SSID)ssj0000866960 035 $a(PQKBManifestationID)11448109 035 $a(PQKBTitleCode)TC0000866960 035 $a(PQKBWorkID)10889229 035 $a(PQKB)10564754 035 $a(MiAaPQ)EBC1111668 035 $a(Au-PeEL)EBL1111668 035 $a(CaPaEBR)ebr10648038 035 $a(CaONFJC)MIL428023 035 $a(OCoLC)825767450 035 $a(EXLCZ)992670000000325279 100 $a20180706e20111970 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEntropy in urban and regional modelling /$fA. G. Wilson 210 1$aAbingdon, Oxon ;$aNew York :$cRoutledge,$d2011. 215 $a1 online resource (174 p.) 225 1 $aRoutledge revivals 225 0$aRoutledge revivals 300 $a"First published in 1970 by Pion Ltd."--T.p. verso. 311 $a0-415-69631-3 311 $a0-415-69564-3 320 $aIncludes bibliographical references and indexes. 327 $aCover; 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 327 $a1.3.5 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 327 $a2.8 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 327 $a3.3 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 327 $a3.5.6 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 327 $a5 Problems of missing or additional information in flow and location models 330 $aFirst published in 1970, this groundbreaking investigation into Entropy in Urban and Regional Modelling provides an extensive and detailed insight into the entropy maximising method in the development of a whole class of urban and regional models.The book has its origins in work being carried out by the author in 1966, when he realised that the well-known gravity model could be derived on the basis of an analogy with statistical, rather than Newtonian, mechanics. Subsequent investigation demonstrated that the entropy maximising method stems from an even higher level o 410 0$aRoutledge Revivals 606 $aCity planning$xMathematical models 606 $aRegional planning$xMathematical models 608 $aElectronic books. 615 0$aCity planning$xMathematical models. 615 0$aRegional planning$xMathematical models. 676 $a307.1216 700 $aWilson$b A. G$g(Alan Geoffrey),$f1939-,$0936967 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463421103321 996 $aEntropy in urban and regional modelling$92258205 997 $aUNINA