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The mathematics of urban morphology

Author: Luca D'Acci
Publisher: Cham, Switzerland : Birkhäuser, 2019.
Series: Modeling and simulation in science, engineering & technology
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. The chapters collected here make a clear case for the importance of tools and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)1080429544
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Luca D'Acci
ISBN: 9783030123819 3030123812
OCLC Number: 1090797293
Description: 1 online resource (xiii, 564 pages) : illustrations (some color).
Contents: Intro; Foreword: The Morphology of Cities; Contents; On Urban Morphology and Mathematics; 1 Morphology, Urban and Mathematics; 2 Urban Morphology; 3 Mathematical Treatment of Urban Forms; 4 Cities Between Hard and Soft Sciences; 5 In Search of Universal Laws: From Calvino to Santa Fe; 6 Complex Self-organizing Systems Urban Approaches; 7 Laplace's Demon in Cities; 8 A Science but not a Science?; 9 The Language of Mathematics; 10 The Art and Science of Cities; Bibliography; Fractals; Fractal Dimension Analysis of Urban Morphology Based on Spatial Correlation Functions; 1 Introduction 2 Theoretical Models2.1 Basic Postulates; 2.2 Spatial Correlation Functions; 2.3 Fractal Parameter Equations; 2.4 New Analytical Framework for Urban Morphology; 3 Case Study; 3.1 Methodology; 3.2 Study Area, Datasets, and Results; 4 Questions and Discussion; 4.1 Methodological Outline; 4.2 Model Generalization; 5 Conclusions; References; Central Place Theory and the Power Law for Cities; 1 Introduction; 2 Central Place Theory; 2.1 Model and One-Good Equilibrium; 2.2 Hierarchy Equilibrium; 3 Power Law for Cities; 4 A Dynamic Programming Approach to Central Place Theory 4.1 The Sequence Problem4.2 The Dynamic Programming Problem; 4.3 The Central Place Property; 5 Concluding Remarks; References; Distribution of City Size: Gibrat, Pareto, Zipf; 1 Introduction; 2 Methodology and Data; 2.1 Testing for a Power-Law Tail; 2.2 Data Description; 3 Empirical Results; 3.1 Test Results; 3.2 Estimates of the Shape Parameter; 3.3 Emergence of a Power-Law Upon Aggregation; 4 Discussion and Conclusion; References; The Signature of Organic Urban Growth; 1 Introduction; 2 Of Street Networks and Degree Centrality Distributions; 2.1 The Topology of Street Networks 2.2 Street Network Representation2.3 Degree Distribution and Power Law Fitting; 2.4 Related Work; 3 Datasets and Methods; 3.1 Objects of Study; 3.2 Sources of Street Network Data; 3.3 Street Network Model Considerations; 3.4 Methodological Process; 3.5 Software Used in the Process; 4 Results; 4.1 Derived Parameters of Degree Distribution; 4.2 The Evolution of Paris; 4.3 Comparison of Cities; 5 Discussion; 5.1 Organic and Planned Growth Processes; 5.2 The Classification of Cities; 6 Conclusions; References
Series Title: Modeling and simulation in science, engineering & technology
Responsibility: Luca D'Acci, editor.

Abstract:

This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective.  Read more...

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