Models in Spatial Analysis
"Models in Spatial Analysis" is a comprehensive book that delves into the concepts and methods used in spatial modeling. The book is divided into chapters, with Chapter 1 titled "Modeling Concepts Used in Spatial Analysis" and written by François Durand-Dastès.
In Chapter 1, Durand-Dastès introduces the concept of modeling universals, which are logical frames used in modeling. He explores the different languages of models, including material or physical model languages, iconic models using images, and mathematical language. The chapter also discusses specific features of spatial models, such as sequencing and explanation, the balance between the group and the individual, and the random and determined aspects of spatial models. Durand-Dastès concludes the chapter with a summary of the key concepts discussed and provides a bibliography for further reading.
The book continues with Chapter 2, titled "Geographical Scales and Multidimensional Statistical Methods" and written by Hélène Mathian and Marie Piron. This chapter focuses on scaling issues in spatial analysis, including the consideration of different geographical levels and formalization of relations between levels using nested relations, partition graphs, neighborhood relations, and proximity graphs. The chapter also discusses processing of multilevel information, including multilevel structure and attributes, and multidimensional statistical methods. Additionally, Mathian and Piron explore the concept of change of levels and change of structures, including scale and variability, exploratory analysis of the scale system, and application of outlying space to social and spatial organization.
Overall, "Models in Spatial Analysis" provides a comprehensive overview of modeling concepts and methods used in spatial analysis, including discussions on different languages of models, specific features of spatial models, and scaling issues. The book is a valuable resource for researchers, practitioners, and students interested in spatial analysis and modeling.