Approaches to geo-mathematical modelling: new tools for complexity science
Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions be...
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
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Chichester, UK Hoboken, NJ
John Wiley & Sons
2016
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Zusammenfassung: | Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions between them and the infrastructures that carry these activities and flows. They can be described at a great variety of scales, from individuals and organisations to countries. Our understanding, often partial, of these entities, and in many cases this understanding is represented in theories and associated mathematical models. In this book, the main examples are models that represent elements of the global system covering such topics as trade, migration, security and development aid together with examples at finer scales. This provides an effective toolkit that can not only be applied to global systems, but more widely in the modelling of complex systems. All complex systems involve nonlinearities involving path dependence and the possibility of phase changes and this makes the mathematical aspects particularly interesting. It is through these mechanisms that new structures can be seen to 'emerge', and hence the current notion of 'emergent behaviour'. The range of models demonstrated include account-based models and biproportional fitting, structural dynamics, space-time statistical analysis, real-time response models, Lotka-Volterra models representing 'war', agent-based models, epidemiology and reaction-diffusion approaches, game theory, network models and finally, integrated models. Geo-mathematical modelling: -Presents mathematical models with spatial dimensions.-Provides representations of path dependence and phase changes.-Illustrates complexity science using models of trade, migration, security and development aid.-Demonstrates how generic models from the complexity science tool kit can each be applied in a variety of situations This book is for practitioners and researchers in applied mathematics, geography, economics, and interdisciplinary fields such as regional science and complexity science. It can also be used as the basis of a modelling course for postgraduate students. |
Beschreibung: | Includes bibliographical references and index. - Print version record and CIP data provided by publisher |
Umfang: | 1 Online-Ressource |
ISBN: | 9781118937440 1118937449 9781118937457 1118937457 9781118937426 1118937422 9781118922279 |
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spelling | Approaches to geo-mathematical modelling new tools for complexity science edited by Sir Alan Wilson Chichester, UK Hoboken, NJ John Wiley & Sons 2016 1 Online-Ressource Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Includes bibliographical references and index. - Print version record and CIP data provided by publisher Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions between them and the infrastructures that carry these activities and flows. They can be described at a great variety of scales, from individuals and organisations to countries. Our understanding, often partial, of these entities, and in many cases this understanding is represented in theories and associated mathematical models. In this book, the main examples are models that represent elements of the global system covering such topics as trade, migration, security and development aid together with examples at finer scales. This provides an effective toolkit that can not only be applied to global systems, but more widely in the modelling of complex systems. All complex systems involve nonlinearities involving path dependence and the possibility of phase changes and this makes the mathematical aspects particularly interesting. It is through these mechanisms that new structures can be seen to 'emerge', and hence the current notion of 'emergent behaviour'. The range of models demonstrated include account-based models and biproportional fitting, structural dynamics, space-time statistical analysis, real-time response models, Lotka-Volterra models representing 'war', agent-based models, epidemiology and reaction-diffusion approaches, game theory, network models and finally, integrated models. Geo-mathematical modelling: -Presents mathematical models with spatial dimensions.-Provides representations of path dependence and phase changes.-Illustrates complexity science using models of trade, migration, security and development aid.-Demonstrates how generic models from the complexity science tool kit can each be applied in a variety of situations This book is for practitioners and researchers in applied mathematics, geography, economics, and interdisciplinary fields such as regional science and complexity science. It can also be used as the basis of a modelling course for postgraduate students. Geography Mathematical models International trade Mathematical models Emigration and immigration Mathematical models Géographie ; Modèles mathématiques Commerce international ; Modèles mathématiques Émigration et immigration ; Modèles mathématiques SOCIAL SCIENCE ; Essays SOCIAL SCIENCE ; Reference Emigration and immigration ; Mathematical models Geography ; Mathematical models International trade ; Mathematical models Wilson, A. G. 1939- HerausgeberIn edt 9781118922279 Erscheint auch als Druck-Ausgabe 9781118922279 |
spellingShingle | Approaches to geo-mathematical modelling new tools for complexity science Geography Mathematical models International trade Mathematical models Emigration and immigration Mathematical models Géographie ; Modèles mathématiques Commerce international ; Modèles mathématiques Émigration et immigration ; Modèles mathématiques SOCIAL SCIENCE ; Essays SOCIAL SCIENCE ; Reference Emigration and immigration ; Mathematical models Geography ; Mathematical models International trade ; Mathematical models |
title | Approaches to geo-mathematical modelling new tools for complexity science |
title_auth | Approaches to geo-mathematical modelling new tools for complexity science |
title_exact_search | Approaches to geo-mathematical modelling new tools for complexity science |
title_full | Approaches to geo-mathematical modelling new tools for complexity science edited by Sir Alan Wilson |
title_fullStr | Approaches to geo-mathematical modelling new tools for complexity science edited by Sir Alan Wilson |
title_full_unstemmed | Approaches to geo-mathematical modelling new tools for complexity science edited by Sir Alan Wilson |
title_short | Approaches to geo-mathematical modelling |
title_sort | approaches to geo mathematical modelling new tools for complexity science |
title_sub | new tools for complexity science |
topic | Geography Mathematical models International trade Mathematical models Emigration and immigration Mathematical models Géographie ; Modèles mathématiques Commerce international ; Modèles mathématiques Émigration et immigration ; Modèles mathématiques SOCIAL SCIENCE ; Essays SOCIAL SCIENCE ; Reference Emigration and immigration ; Mathematical models Geography ; Mathematical models International trade ; Mathematical models |
topic_facet | Geography Mathematical models International trade Mathematical models Emigration and immigration Mathematical models Géographie ; Modèles mathématiques Commerce international ; Modèles mathématiques Émigration et immigration ; Modèles mathématiques SOCIAL SCIENCE ; Essays SOCIAL SCIENCE ; Reference Emigration and immigration ; Mathematical models Geography ; Mathematical models International trade ; Mathematical models |
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