Complexity And Spatial Networks

“Theoppositeofacorrectstatementisafalsestatement.Buttheopposite of a profound truth may well be another profound truth.” – Niels Bohr This volume is motivated in part by the observation that opposites permeate everything around us, in some form or another. Its study has attracted the attention of countless minds for at least 2500 years. However, due to the lack of an accepted mathematical formalism for opposition it has not been explicitly studiedtoanygreatlengthin?eldsoutsideofphilosophyandlogic.This,despite the fact that we observe opposition everywhere in nature, our minds seem to divide the world into entities and opposite entities; indeed we use opposition everyday. We have become so accustomed to opposition that its existence is accepted, not usually questioned and its importance is constantly overlooked. On one hand, this volume is a?st attempt to bring together researchers who are inquiring into the complementary nature of systems and processes and, on the other hand, provide some elementary components for a framework to establish a formalism for opposition-based computing. From a computational intelligence perspective, many successful opposition-based concepts have been in existence for a long time. It is not our intention to recast these existing methods, rather to elucidate that, while diverse, they all share the commonality of opposition - in one form or another, either implicitly or explicitly. To this end, we have attempted to provide rough guidelines to understand what makes concepts “oppositional”. 2. The "Thermodynamics" of the City: Evolution and Complexity Science in Urban Modelling......Page 8 1. Simplicity in Complex Spatial Systems: Introduction......Page 16 Part A: Complexity, Evolution, and Simplicity in Space......Page 24 3. Macro and Micro Dynamics of the City Size Distribution: The Case of Israel......Page 48 4. A Morphogenetic Perspective on Spatial Complexity: Transport Costs and Urban Shapes......Page 66 5. Algorithmic Complexity and Spatial Simplicity......Page 76 6. Polyplexity: A Complexity Science for the Social and Policy Sciences......Page 90 Part B: Evolutionary Networks in a Socio-Economic Context......Page 104 7. Complexity, Evolution and Learning: Empirical and Experimental Validation of Heterogeneous Expectations......Page 106 8. Homophily, Conformity, and Noise in the (Co-)Evolution of Complex Social Networks......Page 120 9. Complex Evolution and Learning: The Role of Constraints......Page 132 10. Proximity, Social Capital and the Simon Model of Stochastic Growth......Page 148 11. Evolutionary and Preferential Attachment Models of Demand Growth......Page 156 12. Modelling the Economy as an Evolving Space of Flows: Methodological Challenges......Page 166 Part C: Empirical Aspects of Network Complexity in the Space-Economy......Page 180 13. Effects of a Simple Mode Choice Model in a Large-Scale Agent-Based Transport Simulation......Page 182 14. Complex, Adaptive Systems, Through Time and Across Space: Alberta Power Generation......Page 202 15. Measuring and Visualizing Urban Network Dynamics: A GIS and Graph-Theoretic Approach......Page 224 16. Spatial Autocorrelation in Spatial Interaction: Complexity-to-Simplicity in Journey-to-Work Flows......Page 236 17. Complex Networks Analysis of Commuting Advances and a Research Agenda......Page 254 18. Spatial and Commuting Networks: A Unifying Perspective......Page 272 Part D: Epilogue......Page 288 19. From Complexity to Simplicity: Interdisciplinary Synthesis and Future Perspectives......Page 290 This volume is motivated in part by the observation that opposites permeate everything around us, in some form or another. Its study has attracted the attention of countless minds for at least 2500 years. However, due to the lack of an accepted mathematical formalism for opposition it has not been explicitly studied to any great length in fields outside of philosophy and logic. Despite the fact that we observe opposition everywhere in nature, our minds seem to divide the world into entities and opposite entities; indeed we use opposition everyday. We have become so accustomed to opposition that its existence is accepted, not usually questioned and its importance is constantly overlooked. On the one hand, this volume is a fist attempt to bring together researchers who are inquiring into the complementary nature of systems and processes and, on the other hand, it provides some elementary components for a framework to establish a formalism for opposition-based computing. From a computational intelligence perspective, many successful opposition-based concepts have been in existence for a long time. It is not the authors intention to recast these existing methods, rather to elucidate that, while diverse, they all share the commonality of opposition - in one form or another, either implicitly or explicitly. Therefore they have attempted to provide rough guidelines to understand what makes concepts "oppositional." Time Time b a Space Space Time Time c d Space Space Fig. 1 Different possible scales for growth and innovation analyses spatial dimension, the sectoral dimension and the time dimension are represented. In Fig. 1a, regional developmentanalyses are revealed, where the economyis sliced vertically into regions and their dynamics are investigated. The study of the evolution of industries, typical of evolutionary industrial e- nomics, is represented in Fig. 1b, where the economy is divided horizontally into sectoral slices. This approach has progressed considerably in recent years (see Malerba 2006, for a recent survey). Modi?cations of industries have important spatial implications, which however are not normally at the core of these ana- ses even though spatial patterns of innovation differ greatly from sector to sector (Breschi 2000). Our approach operates in the manner of Fig. 1a and we will focus on regions, extending the analysis to industries only where this is regionally and structurally relevant. Hence, the approach in the book belongs to the tradition of regional development theories, but, in contrast to the more traditional analyses, we will not consider the region as an economic unit per se. Rather, interactions between and within regions are very relevant to the performance of individual regions in an integrated world and will be at the core of the analyses of the following chapters. Investigates the dynamics of regional performance in advanced countries and the mechanisms that allow some regions to grow more rapidly than others. This work shows how the capability of regions to innovate is enhanced by a number of factors, including entrepreneurship, clustering, creativity, and technologies.