This is the first book on spatial entropy in the scientific literature. It links spatial entropy with landscape analysis, landscape diversity and geo-information. It gives all the essential tools that a researcher needs in order to study the spatial entropy of physical as well as artificial landscapes (created with artificial life, swarm intelligence etc). This book explores the fascinating world of the interplay between spatial entropy, spatial information, self-organization and emergence and gives geographers and landscape scientists several alternative mathematical methods to study them, i.e. Shannon's formula, measures from non-extensive thermodynamics, from directional statistics and network theory. An essential book for researchers in landscape analysis and geo-informatics.
Author(s): Fivos Papadimitriou
Series: RaumFragen: Stadt – Region – Landschaft
Publisher: Springer VS
Year: 2022
Language: English
Pages: 157
City: Wiesbaden
Preface
Contents
1 Spatial Entropy, Geo-Information and Spatial Surprise
Abstract
1.1 From Boltzmann’s Thermodynamics to Shannon’ Formula
1.2 Geo-Information and Spatial Entropy
References
2 Computing the Spatial Entropy of Square Binary Maps
Abstract
2.1 The Spatial Entropy of Square Binary Maps
2.2 The Spatial Entropies of two Landscapes of France and Brazil
References
3 Spatial Entropy of Directional Geographical Data and Landscape Networks
Abstract
3.1 Networks, Landscapes and Spatial Entropy
3.2 Entropies of Random and “Small World” Networks
3.3 Spatial Entropy of Directional Distributions
3.4 The Directional Spatial Entropy of a Landscape of Mexico
References
4 Spatial Entropy of Landscapes Simulated with Artificial Life and Swarm Intelligence
Abstract
4.1 Spatial Entropy of Simulated Landscapes: Artificial Life
4.2 Spatial Entropy of Simulated Landscapes: Swarm Intelligence
4.3 Directional Spatial Entropy of Simulated Landscapes
References
5 Spatial Negentropy and Social Self-Organization in Simulated Landscapes
Abstract
5.1 Schelling’s Model of Segregation and Spatial Negentropy
5.2 Spatial Self-Organization and Kolmogorov-Sinai Entropy
References
6 Visual Perception of Spatial Entropy and Landscape Analysis
Abstract
6.1 Landscape Diversity and Landscape Entropy
6.2 Spatial Entropy, Order and Disorder
References
7 Spatial Entropy, Non-Extensive Thermodynamics and Landscape Change
Abstract
7.1 Non-BGS Thermodynamics in Landscape Analysis
7.2 Non-Extensive Thermodynamics
7.3 The Tsallis Spatial Entropy of a Landscape of Greece
References
8 Emergence, Sustainability and Cyber-Physical Landscapes
Abstract
8.1 Thermodynamic Entropy, Spatial Entropy and Emergence
8.2 Sustainability, Culture and Cyber-Physical Landscapes
References
Index
