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[null,"1.","Record Nr.",null,"UNINA9911020091503321"]
[null,null,"Autore",null,"Tannier Cécile"]
[null,null,"Titolo",null,"Fractal Geometry in Human Geography and Planning"]
[null,null,"Pubbl/distr/stampa",null,"Newark : , : John Wiley & Sons, Incorporated, , 2024"]
[{"$nulls":4},"©2024"]
[null,null,"ISBN",null,"9781394306565"]
[{"$nulls":4},"1394306563"]
[{"$nulls":4},"9781394306541"]
[{"$nulls":4},"1394306547"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (360 pages)"]
[null,null,"Collana",null,"ISTE Invoiced Series"]
[null,null,"Soggetti",null,"Fractals"]
[{"$nulls":4},"Spatial analysis (Statistics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Cover -- Title Page -- Copyright Page -- Contents -- Introduction -- Part 1. Basic Concepts and Reference Figures -- Chapter 1. Introduction to Fractal Analysis and Modeling in Human Geography -- 1.1. Geometric models of the spatial distribution of human settlements: from the use of smooth and regular shapes to the adoption of fractal shapes -- 1.2. Description and measurement of the shapes of the spatial distribution of human settlements -- 1.3. References -- Chapter 2. Basic Concepts for Fractal Analysis and Modeling in Human Geography -- 2.1. Methods of construction of fractal figures -- 2.1.1. Iterated function systems -- 2.1.2. Fractal cascades -- 2.1.3. Chaos game -- 2.1.4. L-systems (Lindenmayer systems) -- 2.1.5. Other methods for creating fractal figures -- 2.2. Measuring the size of fractal and non-fractal objects -- 2.3. Definition of a fractal object -- 2.4. Density and fractal dimension -- 2.5. Mathematical fractals versus fractals in the real world -- 2.6. Fractality and scale invariance -- 2.7. References -- Chapter 3. Fractal Reference Figures -- 3.1. Fractal curves and islands -- 3.1.1. Fractal curves -- 3.1.2. Teragons, fractal islands -- 3.2. Fractal dusts, gaskets and carpets -- 3.2.1. Fractal dusts -- 3.2.2. Sierpinski gaskets and carpets -- 3.2.3. Box fractal -- 3.3. Hybrid fractal figures and multifractal figures -- 3.3.1. Hybrid fractal figures -- 3.3.2. Multifractal figures -- 3.3.3. Composite figures -- 3.4. Fractal geometric models of central places -- 3.5. Concerning "]
[{"$nulls":4},"lacunarity -- 3.6. Conclusion -- 3.7. References -- Part 2. Fractal and Multifractal Analyses of the Spatial Distribution of Human Settlements -- Chapter 4. Fractal Analysis Methods for Characterizing the Spatial Distribution of Human Settlements."]
[{"$nulls":4},"4.1. Estimating the fractal dimension of a collection of human settlements (point, linear or surface objects) -- 4.1.1. General principle governing the estimation of fractal dimensions -- 4.1.2. Box-counting dimension -- 4.1.3. Correlation dimension -- 4.1.4. Geographically Weighted Fractal Analysis (GWFA) -- 4.1.5. Clarifications and comments -- 4.2. Fractal box-counting and correlation analyses of 50 built-up fabrics -- 4.2.1. The built-up fabrics studied -- 4.2.2. Choice of parameter values for fractal analyses -- 4.2.3. Comparison of the box-counting and correlation dimensions for the 50 built-up fabrics -- 4.3. Conclusion -- 4.4. References -- Chapter 5. Morphological Delineation of Urban Agglomerations: Comparison of Fractal and Non-Fractal Methods -- 5.1. Comparison of three fractal and non-fractal methods of morphological delimitation of cities -- 5.1.1. Presentation and critique of the three methods -- 5.1.2. Comparison of methods -- 5.1.3. Application of the three methods to identify the morphological limits of the city of Brussels (Belgium) -- 5.2. Morphological characterization of cities delimited by means of MorphoLim within 82 French urban areas -- 5.2.1. The 82 urban areas studied -- 5.2.2. Methodology -- 5.2.3. Results -- 5.3. Conclusion -- 5.4. References -- Chapter 6. Multifractal Analyses of Population Distributions -- 6.1. Introduction -- 6.2. Theoretical presentation of multifractal analysis -- 6.2.1. Measures and probabilities: mathematical modeling of population distributions -- 6.2.2. Generalized dimensions -- 6.2.3. The singularity spectrum (or multifractal spectrum) -- 6.2.4. Multifractal formalism -- 6.3. Application to the study of the spatial distribution of the population -- 6.3.1. Exploration of generalized dimensions -- 6.3.2. Typology of spatial distributions according to their multifractal spectrum."]
[{"$nulls":4},"6.4. Conclusion and perspectives -- 6.5. References -- Chapter 7. Characterizing Deviations from Scale Invariance Using Cross-Scale Signatures -- 7.1. Cross-scale signatures: a tool for exploring deviations from scale invariance -- 7.1.1. Limitations of fractal dimension for characterizing built patterns -- 7.1.2. Calculation of cross-scale signatures -- 7.2. Synthesizing the information provided by cross-scale signatures -- 7.2.1. Typology of cross-scale signatures using principal component analysis -- 7.2.2. Decomposition of cross-scale signatures using orthogonal polynomials -- 7.3. Conclusion -- 7.4. References -- Part 3. Urban Forms and Fractal Planning -- Chapter 8. Principles of Fractal Planning and Urban Design -- 8.1. Hypotheses about the functional advantages of fractal built and non-built forms -- 8.1.1. Response to public expectations for residential choice and satisfaction -- 8.1.2. Spatial structuring of intra-urban parks and green spaces -- 8.1.3. Preservation of biodiversity -- 8.1.4. Intra- and inter-urban spatial hierarchies -- 8.1.5. Shape of the perimeter of urban agglomerations -- 8.2. Fractal planning standards: between myths and realities -- 8.2.1. Is there a \"right\" fractal dimension for city planning? -- 8.2.2. Are fractal city shapes, by nature, optimal? -- 8.3. Why and how to introduce fractal geometric rules into geographic models of urban and regional planning? -- 8.3.1. MUP-City: simulation of fractal residential development under accessibility constraints -- 8.3.2. Fractalopolis: design of multifractal urban development plans -- 8.3.3. Fractal geometric rules in geographic models of cities and territories -- 8.4. Conclusion -- 8.5. References -- Chapter 9. Multifractal Forward Planning: The Fractalopolis Model Applied to the Case of Greater Paris."]
[{"$nulls":4},"9.1. Planning for accessibility: reducing distances traveled and organizing urban centers -- 9.1.1. Accessibility and residential satisfaction -- 9.1.2. Social demand: expectations and needs for individual mobility -- 9.1.3. From the hierarchy of individual needs to the hierarchy of central places -- 9.2. Integrating green and blue infrastructure into a planning process -- 9.2.1. Green infrastructure to reduce heat islands -- 9.2.2. Green infrastructure to protect biodiversity -- 9.2.3. Green infrastructure as a planning concept -- 9.3. Fractalopolis: a multi-scale development model -- 9.3.1. A precursor: TOD, itself inspired by the Garden City -- 9.3.2. Fractal geometry as a basis for reflections on planning -- 9.3.3. Hierarchy of central places linked by green and blue infrastructure -- 9.3.4. Formalization of accessibility -- 9.4. Example of application: from Greater Paris to the Est Ensemble sector -- 9.4.1. Multifractal development planning -- 9.4.2. Assessment of potential residential satisfaction -- 9.4.3. Scenarios for spatial distribution of dwellings -- 9.5. Conclusion -- 9.6. References -- Conclusion -- List of Authors -- Index -- EULA."]
[null,null,null,"Sommario/riassunto","This book, coordinated by Cécile Tannier, presents an in-depth exploration of fractal geometry within the context of human geography and urban planning. It aims to introduce and apply fractal analysis and modeling methods to the spatial distribution of human settlements. The text covers basic concepts and reference figures in fractal geometry, including methods for constructing fractal figures and measuring their dimensions. It also delves into the differentiation between mathematical fractals and those observed in real-world scenarios. The book is intended for researchers and professionals in geography and urban planning, providing a comprehensive look at the use of fractals in analyzing and modeling urban environments."]