This book provides a thorough discussion about fundamental questions regarding urban theories and modeling. It is a curated collection of contributions to a workshop held in Paris on October 12th and 13th 2017 at the Institute of Complex Systems by the team of ERC GeoDiverCity. There are several chapters conveying the answers given by single authors to problems of conceptualization and modeling and others in which scholars reply to their conception and question them. Even, the chapters transcribing keynote presentations were rewritten according to contributions from the respective discussions. The result is a complete "state of the art" of what is our knowledge about urban processes and their possible formalization.

This book provides a thorough discussion about fundamental questions regarding urban theories and modeling. It is a curated collection of contributions to a workshop held in Paris on October 12th and 13th 2017 at the Institute of Complex Systems by the team of ERC GeoDiverCity. There are several chapters conveying the answers given by single authors to problems of conceptualization and modeling and others in which scholars reply to their conception and question them. Even, the chapters transcribing keynote presentations were rewritten according to contributions from the respective discussions. The result is a complete "state of the art" of what is our knowledge about urban processes and their possible formalization.

This monograph presents urban simulation methods that help in better understanding urban dynamics. Over historical times, cities have progressively absorbed a larger part of human population and will concentrate three quarters of humankind before the end of the century. This "urban transition" that has totally transformed the way we inhabit the planet is globally understood in its socio-economic rationales but is less frequently questioned as a spatio-temporal process. However, the cities, because they are intrinsically linked in a game of competition for resources and development, self organize in "systems of cities" where their future becomes more and more interdependent. The high frequency and intensity of interactions between cities explain that urban systems all over the world exhibit large similarities in their hierarchical and functional structure and rather regular dynamics. They are complex systems whose emergence, structure and further evolution are widely governed by the multiple kinds of interaction that link the various actors and institutions investing in cities their efforts, capital, knowledge and intelligence. Simulation models that reconstruct this dynamics may help in better understanding it and exploring future plausible evolutions of urban systems. This would provide better insight about how societies can manage the ecological transition at local, regional and global scales. The author has developed a series of instruments that greatly improve the techniques of validation for such models of social sciences that can be submitted to many applications in a variety of geographical situations. Examples are given for several BRICS countries, Europe and United States. The target audience primarily comprises research experts in the field of urban dynamics, but the book may also be beneficial for graduate students.

This monograph presents urban simulation methods that help in better understanding urban dynamics. Over historical times, cities have progressively absorbed a larger part of human population and will concentrate three quarters of humankind before the end of the century. This "urban transition" that has totally transformed the way we inhabit the planet is globally understood in its socio-economic rationales but is less frequently questioned as a spatio-temporal process. However, the cities, because they are intrinsically linked in a game of competition for resources and development, self organize in "systems of cities" where their future becomes more and more interdependent. The high frequency and intensity of interactions between cities explain that urban systems all over the world exhibit large similarities in their hierarchical and functional structure and rather regular dynamics. They are complex systems whose emergence, structure and further evolution are widely governed by the multiple kinds of interaction that link the various actors and institutions investing in cities their efforts, capital, knowledge and intelligence. Simulation models that reconstruct this dynamics may help in better understanding it and exploring future plausible evolutions of urban systems. This would provide better insight about how societies can manage the ecological transition at local, regional and global scales. The author has developed a series of instruments that greatly improve the techniques of validation for such models of social sciences that can be submitted to many applications in a variety of geographical situations. Examples are given for several BRICS countries, Europe and United States. The target audience primarily comprises research experts in the field of urban dynamics, but the book may also be beneficial for graduate students.

Innovation is nowadays a question of life and death for many of the economies of the western world. Yet, due to our generally reductionist scientific paradigm, invention and innovation are rarely studied scientifically. Most work prefers to study its context and its consequences. As a result, we are as a society, lacking the scientific tools to understand, improve or otherwise impact on the processes of invention and innovation. This book delves deeply into that topic, taking the position that the complex systems approach, with its emphasis on 'emergence', is better suited than our traditional approach to the phenomenon. In a collection of very coherent papers, which are the result of an EU-funded four year international research team's effort, it addresses various aspect of the topic from different disciplinary angles. One of the main emphases is the need, in the social sciences, to move away from neo-darwinist 'population thinking' to 'organization thinking' if we want to understand social evolution. Another main emphasis is on developing a generative approach to invention and innovation, looking in detail at the contexts within which invention and innovation occur, and how these contexts impact on the chances for success or failure. Throughout, the book is infused with interesting new insights, but also presents several well-elaborated case studies that connect the ideas with a substantive body of 'real world' information.

Hierarchy is a form of organisation of complex systems that rely on or produce a strong differentiation in capacity (power and size) between the parts of the system. It is frequently observed within the natural living world as well as in social institutions. According to the authors, hierarchy results from random processes, follows an intentional design, or is the result of the organisation which ensures an optimal circulation of energy for information.

This book reviews ancient and modern representations and explanations of hierarchies, and compares their relevance in a variety of fields, such as language, societies, cities, and living species. It throws light on concepts and models such as scaling laws, fractals and self-organisation that are fundamental in the dynamics and morphology of complex systems.

At a time when networks are celebrated for their efficiency, flexibility and better social acceptance, much can be learned about the persistent universality and adaptability of hierarchies, and from the analogies and differences between biological and social organisation and processes. This book addresses a wide audience of biologists and social scientists, as well as managers and executives in a variety of institutions.

Innovation is nowadays a question of life and death for many of the economies of the western world. Yet, due to our generally reductionist scientific paradigm, invention and innovation are rarely studied scientifically. Most work prefers to study its context and its consequences. As a result, we are as a society, lacking the scientific tools to understand, improve or otherwise impact on the processes of invention and innovation. This book delves deeply into that topic, taking the position that the complex systems approach, with its emphasis on 'emergence', is better suited than our traditional approach to the phenomenon. In a collection of very coherent papers, which are the result of an EU-funded four year international research team's effort, it addresses various aspect of the topic from different disciplinary angles. One of the main emphases is the need, in the social sciences, to move away from neo-darwinist 'population thinking' to 'organization thinking' if we want to understand social evolution. Another main emphasis is on developing a generative approach to invention and innovation, looking in detail at the contexts within which invention and innovation occur, and how these contexts impact on the chances for success or failure. Throughout, the book is infused with interesting new insights, but also presents several well-elaborated case studies that connect the ideas with a substantive body of 'real world' information.

Hierarchy is a form of organisation of complex systems that rely on or produce a strong differentiation in capacity (power and size) between the parts of the system. It is frequently observed within the natural living world as well as in social institutions. According to the authors, hierarchy results from random processes, follows an intentional design, or is the result of the organisation which ensures an optimal circulation of energy for information.

This book reviews ancient and modern representations and explanations of hierarchies, and compares their relevance in a variety of fields, such as language, societies, cities, and living species. It throws light on concepts and models such as scaling laws, fractals and self-organisation that are fundamental in the dynamics and morphology of complex systems.

At a time when networks are celebrated for their efficiency, flexibility and better social acceptance, much can be learned about the persistent universality and adaptability of hierarchies, and from the analogies and differences between biological and social organisation and processes. This book addresses a wide audience of biologists and social scientists, as well as managers and executives in a variety of institutions.