Description

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.

Approaches to Geo-mathematical Modelling: New Tools for Complexity Science

Product form

£106.73

Includes FREE delivery
Usually despatched within 12 days
Hardback by Alan G. Wilson

2 in stock

Short Description:

Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer... Read more

    Publisher: John Wiley & Sons Inc
    Publication Date: 30/09/2016
    ISBN13: 9781118922279, 978-1118922279
    ISBN10: 1118922271

    Number of Pages: 432

    Non Fiction , Mathematics & Science , Education

    Description

    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.

    Customer Reviews

    Be the first to write a review
    0%
    (0)
    0%
    (0)
    0%
    (0)
    0%
    (0)
    0%
    (0)

    Recently viewed products

    © 2024 Book Curl,

      • American Express
      • Apple Pay
      • Diners Club
      • Discover
      • Google Pay
      • Maestro
      • Mastercard
      • PayPal
      • Shop Pay
      • Union Pay
      • Visa

      Login

      Forgot your password?

      Don't have an account yet?
      Create account