Edited by Aura Reggiani, Professor of Economic Policy, University of Bologna, Italy, Laurie A. Schintler, Center for Regional Analysis, Schar School of Policy and Government, George Mason University, US, Daniel Czamanski, The Philip & Ethel Klutznick Center for Urban and Regional Studies, Technion, Israel Institute of Technology, Israel and Roberto Patuelli, Department of Economics, University of Bologna, Italy

‘This book poses a critical question: Is entropy the universal principle to understand and model spatial economic systems, to get grip on the complexity of our modern, highly connected economy? We need proper theory to claim so. Building on seminal work from the past the authors take the audacious and rewarding effort to develop the theory and show its value in practice. If closed systems exhibit increasing order over time, an essential theoretical question is whether dynamic, networked, open systems have more order, lower entropy and higher resilience. As the book discusses, despite big data and advanced computational tooling, this is not necessarily the case. The authors help us to see why.’

• Contents:Preface xii1 Reflections on entropy, complexity and spatial dynamics:the rebirth of theory? 1Aura Reggiani, Laurie A. Schintler, Daniel Czamanski and Roberto PatuelliPART A ENTROPY, SPACE AND COMPLEXITY2 Entropy in urban and regional modelling 20Alan Wilson3 Recent applications of entropy in social and environmental sciences 32Kingsley E. Haynes, Fred Phillips and Miko Ching-Ying Yu4 Entropy and complexity in urban and regional systems 46J. Barkley Rosser, Jr.5 Information theory of spatial network ensembles 61Ginestra Bianconi6 Entropy as a measure of agglomeration 97Katarzyna Kopczewska7 Entropy, agglomeration and economic structures in spatial analysis 118Eleonora Cutrini8 Spatial entropy, information and complexity 139Michael BattyPART B COMPLEXITY OF URBAN EVOLUTION9 Self-organization in complex urban systems 159Brian J. L. Berry10 Two centre-size distributions compared 165John B. Parr11 Spatial dynamics of complex urban systems within an evolutionarytheory frame 175Juste Raimbault and Denise Pumain12 Integrating entropy in the topodynamic approach and the urbanmetric system 195Luc-Normand Tellier13 Gibrat’s law and the change in artificial land use within andbetween European cities 213Paul Kilgarriff, Rémi Lemoy and Geoffrey Caruso14 Endogenous growth policies for lagging cities and regions 234Dani Broitman and Daniel Czamanski15 Thom’s catastrophe theory and Turing’s morphogenesis for urbangrowth modelling 246Olivier BoninPART C COMPLEXITY AND RESILIENCE OF ECONOMIC SYSTEMS16 Complex structures and relative invariance in economic dynamics 271Roberto Scazzieri17 Getting to a circular growth economy by harnessing circularand cumulative causation 287Kieran P. Donaghy18 Simple pricing rules in complex air transport systems 304Marco Alderighi, Christophe Feder, Peter Nijkamp and Elena Irina Ungureanu19 Complex tourism dynamics and fiscal sustainability 321Akash Sedai and Francesca Medda20 Industrial districts as the outcome of self-organisation in time and space 342Oto Hudec, Vladimír Gazda, Martin Zoričák and Denis Horváth21 Economic resilience and extensions to complexity, entropy andspatial dynamics 363Adam Rose and Noah Dormady22 An analysis of resilience in complex socioeconomic systems 383Amitrajeet A. Batabyal and Karima Kourtit23 Complexity, resilience and emergence in regional economic systems 400Timothy F. Slaper and C. Scott Dempwolf24 Resilience in complex networks 418Alan T. MurrayPART D SPATIAL DYNAMICS OF COMPLEX INTERACTIONS25 Complex network analysis of socio-ecological systems 433Andrea De Montis26 Hierarchy, central place theory and computational modelling 454John Östh, Aura Reggiani and Laurie A. Schintler27 Comparing power laws and exponentials in simulations ofgravitational growth 474Diego Rybski and Yunfei Li28 Heterogeneity and segregation of mobility patterns 486Enrico Ubaldi, Bernardo Monechi, Claudio Chiappetta and Vittorio Loreto29 Conceptual and operational models of complex spatial interaction 510Tomaz Ponce Dentinho and António Felix Rodrigues30 Decision-based modelling of complex spatial systems 538Guenter Haag31 A general model of dynamic spatial interactions 566Justin Delloye and Isabelle ThomasIndex 584

Edited by Aura Reggiani, Professor of Economic Policy, University of Bologna, Italy, Laurie A. Schintler, Center for Regional Analysis, Schar School of Policy and Government, George Mason University, US, Daniel Czamanski, The Philip & Ethel Klutznick Center for Urban and Regional Studies, Technion, Israel Institute of Technology, Israel and Roberto Patuelli, Department of Economics, University of Bologna, Italy

‘This book poses a critical question: Is entropy the universal principle to understand and model spatial economic systems, to get grip on the complexity of our modern, highly connected economy? We need proper theory to claim so. Building on seminal work from the past the authors take the audacious and rewarding effort to develop the theory and show its value in practice. If closed systems exhibit increasing order over time, an essential theoretical question is whether dynamic, networked, open systems have more order, lower entropy and higher resilience. As the book discusses, despite big data and advanced computational tooling, this is not necessarily the case. The authors help us to see why.’

• Contents:Preface xii1 Reflections on entropy, complexity and spatial dynamics:the rebirth of theory? 1Aura Reggiani, Laurie A. Schintler, Daniel Czamanski and Roberto PatuelliPART A ENTROPY, SPACE AND COMPLEXITY2 Entropy in urban and regional modelling 20Alan Wilson3 Recent applications of entropy in social and environmental sciences 32Kingsley E. Haynes, Fred Phillips and Miko Ching-Ying Yu4 Entropy and complexity in urban and regional systems 46J. Barkley Rosser, Jr.5 Information theory of spatial network ensembles 61Ginestra Bianconi6 Entropy as a measure of agglomeration 97Katarzyna Kopczewska7 Entropy, agglomeration and economic structures in spatial analysis 118Eleonora Cutrini8 Spatial entropy, information and complexity 139Michael BattyPART B COMPLEXITY OF URBAN EVOLUTION9 Self-organization in complex urban systems 159Brian J. L. Berry10 Two centre-size distributions compared 165John B. Parr11 Spatial dynamics of complex urban systems within an evolutionarytheory frame 175Juste Raimbault and Denise Pumain12 Integrating entropy in the topodynamic approach and the urbanmetric system 195Luc-Normand Tellier13 Gibrat’s law and the change in artificial land use within andbetween European cities 213Paul Kilgarriff, Rémi Lemoy and Geoffrey Caruso14 Endogenous growth policies for lagging cities and regions 234Dani Broitman and Daniel Czamanski15 Thom’s catastrophe theory and Turing’s morphogenesis for urbangrowth modelling 246Olivier BoninPART C COMPLEXITY AND RESILIENCE OF ECONOMIC SYSTEMS16 Complex structures and relative invariance in economic dynamics 271Roberto Scazzieri17 Getting to a circular growth economy by harnessing circularand cumulative causation 287Kieran P. Donaghy18 Simple pricing rules in complex air transport systems 304Marco Alderighi, Christophe Feder, Peter Nijkamp and Elena Irina Ungureanu19 Complex tourism dynamics and fiscal sustainability 321Akash Sedai and Francesca Medda20 Industrial districts as the outcome of self-organisation in time and space 342Oto Hudec, Vladimír Gazda, Martin Zoričák and Denis Horváth21 Economic resilience and extensions to complexity, entropy andspatial dynamics 363Adam Rose and Noah Dormady22 An analysis of resilience in complex socioeconomic systems 383Amitrajeet A. Batabyal and Karima Kourtit23 Complexity, resilience and emergence in regional economic systems 400Timothy F. Slaper and C. Scott Dempwolf24 Resilience in complex networks 418Alan T. MurrayPART D SPATIAL DYNAMICS OF COMPLEX INTERACTIONS25 Complex network analysis of socio-ecological systems 433Andrea De Montis26 Hierarchy, central place theory and computational modelling 454John Östh, Aura Reggiani and Laurie A. Schintler27 Comparing power laws and exponentials in simulations ofgravitational growth 474Diego Rybski and Yunfei Li28 Heterogeneity and segregation of mobility patterns 486Enrico Ubaldi, Bernardo Monechi, Claudio Chiappetta and Vittorio Loreto29 Conceptual and operational models of complex spatial interaction 510Tomaz Ponce Dentinho and António Felix Rodrigues30 Decision-based modelling of complex spatial systems 538Guenter Haag31 A general model of dynamic spatial interactions 566Justin Delloye and Isabelle ThomasIndex 584

Edited by Aura Reggiani, Professor of Economic Policy, University of Bologna, Italy, Laurie A. Schintler, Center for Regional Analysis, Schar School of Policy and Government, George Mason University, US, Daniel Czamanski, The Philip & Ethel Klutznick Center for Urban and Regional Studies, Technion, Israel Institute of Technology, Israel and Roberto Patuelli, Department of Economics, University of Bologna, Italy

‘This book poses a critical question: Is entropy the universal principle to understand and model spatial economic systems, to get grip on the complexity of our modern, highly connected economy? We need proper theory to claim so. Building on seminal work from the past the authors take the audacious and rewarding effort to develop the theory and show its value in practice. If closed systems exhibit increasing order over time, an essential theoretical question is whether dynamic, networked, open systems have more order, lower entropy and higher resilience. As the book discusses, despite big data and advanced computational tooling, this is not necessarily the case. The authors help us to see why.’

• Contents:Preface xii1 Reflections on entropy, complexity and spatial dynamics:the rebirth of theory? 1Aura Reggiani, Laurie A. Schintler, Daniel Czamanski and Roberto PatuelliPART A ENTROPY, SPACE AND COMPLEXITY2 Entropy in urban and regional modelling 20Alan Wilson3 Recent applications of entropy in social and environmental sciences 32Kingsley E. Haynes, Fred Phillips and Miko Ching-Ying Yu4 Entropy and complexity in urban and regional systems 46J. Barkley Rosser, Jr.5 Information theory of spatial network ensembles 61Ginestra Bianconi6 Entropy as a measure of agglomeration 97Katarzyna Kopczewska7 Entropy, agglomeration and economic structures in spatial analysis 118Eleonora Cutrini8 Spatial entropy, information and complexity 139Michael BattyPART B COMPLEXITY OF URBAN EVOLUTION9 Self-organization in complex urban systems 159Brian J. L. Berry10 Two centre-size distributions compared 165John B. Parr11 Spatial dynamics of complex urban systems within an evolutionarytheory frame 175Juste Raimbault and Denise Pumain12 Integrating entropy in the topodynamic approach and the urbanmetric system 195Luc-Normand Tellier13 Gibrat’s law and the change in artificial land use within andbetween European cities 213Paul Kilgarriff, Rémi Lemoy and Geoffrey Caruso14 Endogenous growth policies for lagging cities and regions 234Dani Broitman and Daniel Czamanski15 Thom’s catastrophe theory and Turing’s morphogenesis for urbangrowth modelling 246Olivier BoninPART C COMPLEXITY AND RESILIENCE OF ECONOMIC SYSTEMS16 Complex structures and relative invariance in economic dynamics 271Roberto Scazzieri17 Getting to a circular growth economy by harnessing circularand cumulative causation 287Kieran P. Donaghy18 Simple pricing rules in complex air transport systems 304Marco Alderighi, Christophe Feder, Peter Nijkamp and Elena Irina Ungureanu19 Complex tourism dynamics and fiscal sustainability 321Akash Sedai and Francesca Medda20 Industrial districts as the outcome of self-organisation in time and space 342Oto Hudec, Vladimír Gazda, Martin Zoričák and Denis Horváth21 Economic resilience and extensions to complexity, entropy andspatial dynamics 363Adam Rose and Noah Dormady22 An analysis of resilience in complex socioeconomic systems 383Amitrajeet A. Batabyal and Karima Kourtit23 Complexity, resilience and emergence in regional economic systems 400Timothy F. Slaper and C. Scott Dempwolf24 Resilience in complex networks 418Alan T. MurrayPART D SPATIAL DYNAMICS OF COMPLEX INTERACTIONS25 Complex network analysis of socio-ecological systems 433Andrea De Montis26 Hierarchy, central place theory and computational modelling 454John Östh, Aura Reggiani and Laurie A. Schintler27 Comparing power laws and exponentials in simulations ofgravitational growth 474Diego Rybski and Yunfei Li28 Heterogeneity and segregation of mobility patterns 486Enrico Ubaldi, Bernardo Monechi, Claudio Chiappetta and Vittorio Loreto29 Conceptual and operational models of complex spatial interaction 510Tomaz Ponce Dentinho and António Felix Rodrigues30 Decision-based modelling of complex spatial systems 538Guenter Haag31 A general model of dynamic spatial interactions 566Justin Delloye and Isabelle ThomasIndex 584