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Entropy In Urban And Regional Modelling Routledge Revivals


Entropy In Urban And Regional Modelling Routledge Revivals
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Entropy In Urban And Regional Modelling


Entropy In Urban And Regional Modelling
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Author : Alan Geoffrey Wilson
language : en
Publisher:
Release Date : 1970

Entropy In Urban And Regional Modelling written by Alan Geoffrey Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Political Science categories.




Entropy In Urban And Regional Modelling Routledge Revivals


Entropy In Urban And Regional Modelling Routledge Revivals
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Author : Alan Wilson
language : en
Publisher: Routledge
Release Date : 2013-01-11

Entropy In Urban And Regional Modelling Routledge Revivals written by Alan Wilson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Mathematics categories.


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.



Entropy In Urban And Regional Modelling


Entropy In Urban And Regional Modelling
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Author : Albert George Wilson
language : en
Publisher:
Release Date : 1970

Entropy In Urban And Regional Modelling written by Albert George Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.




Urban Systems Routledge Revivals


Urban Systems Routledge Revivals
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Author : C S Bertuglia
language : en
Publisher: Routledge
Release Date : 2013-10-18

Urban Systems Routledge Revivals written by C S Bertuglia and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-18 with Architecture categories.


This edited collection, first published in 1987, provides a comparative analysis of different approaches to urban modelling, and lays the foundations for the possibility of integration and a more unified field. The first part contextualises the development of the field of urban systems modelling, focusing on the variety of approaches and possible implications of this on the future of research and methodology. Next, the editors consider economic and ‘non-economic’ approaches, followed by an analysis of spatial-interaction-based approaches. Providing an overview to the field and research literature, the overarching argument is that there should be an integrated methodological approach to urban system modelling.



Wilson A G Entropy In Urban And Regional Modelling


Wilson A G Entropy In Urban And Regional Modelling
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Author : Peter Rogers
language : en
Publisher:
Release Date : 1973

Wilson A G Entropy In Urban And Regional Modelling written by Peter Rogers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




Catastrophe Theory And Bifurcation Routledge Revivals


Catastrophe Theory And Bifurcation Routledge Revivals
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Author : Alan Wilson
language : en
Publisher: Taylor & Francis
Release Date : 2012-11-12

Catastrophe Theory And Bifurcation Routledge Revivals written by Alan Wilson and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Mathematics categories.


Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters. First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.



Explorations In Urban And Regional Dynamics


Explorations In Urban And Regional Dynamics
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Author : Joel Dearden
language : en
Publisher: Routledge
Release Date : 2015-03-27

Explorations In Urban And Regional Dynamics written by Joel Dearden and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-27 with Business & Economics categories.


The task of modelling the evolution of cities – the dynamics – is one of the major challenges of the social sciences. This book presents mathematical and computer models of urban and regional dynamics and shows how advances in computer visualisation provide new insights. Models of non-linear systems in general have three characteristics: multiple equilibria, ‘path dependence’ over time and phase transitions – that is, abrupt change at critical parameter values. These phenomena all exhibit themselves in reality, and it is an ongoing task to match model-based analysis with real phenomena. There are three key features of cities and regions to be represented in models: activities at a location – residence, health, education, work and shopping; flows between locations – spatial interaction; and the structures that carry these activities – buildings, transport and communications networks. Spatial interaction and many elements of activities’ location can be modelled by statistical averaging procedures, which are related to Boltzmann’s methods in statistical mechanics. This is while the evolution of structure can be represented in equations that connect to the Lotka-Volterra equations in ecology. Within this broad framework, alternative approaches can be brought to bear. This book uses entropy-maximising versions of spatial interaction models. The authors explore the dynamics in more detail, using advanced visualisation techniques. These ideas have wide potential uses, and the book illustrates this with applications in history and archaeology.



The Use And Misuse Of Entropy In Urban And Regional Modelling Of Economic And Spatial Systems


The Use And Misuse Of Entropy In Urban And Regional Modelling Of Economic And Spatial Systems
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Author : M. J. H. Mogridge
language : en
Publisher:
Release Date : 1972

The Use And Misuse Of Entropy In Urban And Regional Modelling Of Economic And Spatial Systems written by M. J. H. Mogridge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Economics categories.




The Science Of Cities And Regions


The Science Of Cities And Regions
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Author : Alan Wilson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05

The Science Of Cities And Regions written by Alan Wilson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-05 with Science categories.


A ‘science of cities and regions’ is critical for meeting future challenges. The world is urbanising: huge cities are being created and are continuing to grow rapidly. There are many planning and development issues arising in different manifestations in countries across the globe. These developments can, in principle, be simulated through mathematical computer models which provide tools for forecasting and testing future scenarios and plans. These models can represent the functioning of cities and regions, predicting the spatial demography and the economy, the main flows such as journey to work or to services, and the mechanisms of future evolution. In this book, the main principles involved in the design of this range of models are articulated, providing an account of the current state of the art as well as future research challenges. Alan Wilson has over forty years working with urban and regional models and has contributed important discoveries. He has distilled this experience into what serves as both an introduction and a review of the research frontier. Topics covered include the Lowry model, the retail model, principles of account-based models and the methods rooted in Boltzmann-style statistical modelling and the Lotka-Volterra approach to system evolution. Applications range from urban and regional planning to wars and epidemics.



Urban Systems Routledge Revivals


Urban Systems Routledge Revivals
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Author : C S Bertuglia
language : en
Publisher: Routledge
Release Date : 2013-10-18

Urban Systems Routledge Revivals written by C S Bertuglia and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-18 with Architecture categories.


This edited collection, first published in 1987, provides a comparative analysis of different approaches to urban modelling, and lays the foundations for the possibility of integration and a more unified field. The first part contextualises the development of the field of urban systems modelling, focusing on the variety of approaches and possible implications of this on the future of research and methodology. Next, the editors consider economic and ‘non-economic’ approaches, followed by an analysis of spatial-interaction-based approaches. Providing an overview to the field and research literature, the overarching argument is that there should be an integrated methodological approach to urban system modelling.