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Fractalopolis—A Fractal Concept for the Sustainable Development of Metropolitean Areas

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Complex Systems, Smart Territories and Mobility

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Abstract

The debate about how to manage sustainable development on the scale of metropolitan areas is still ongoing. Many scholars blame urban sprawl with its concomitant pollution and energy consumption for exacerbating traffic congestion and harming the natural environment. The present chapter develops a nuanced view of suburbanization focusing on social demand and environmental issues. It would be pointless to simply dismiss suburbanization. We show how the scaling properties of fractal geometry can help in designing development scenarios that optimize the spatial organization of metropolitan areas. The fractal concept meets the needs of residents while addressing various environmental issues.

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Notes

  1. 1.

    LVMT: Laboratoire Ville Mobilité Transport, University Gustave Eiffel and Ecole des Ponts-ParisTech, Marne-la-Vallée.

References

  1. R. Cervero, Mixed land-uses and commuting: evidence from the american housing survey. Transp. Res. Part A 30(5), 361–377 (1996)

    Google Scholar 

  2. R. Cervero, K. Kockelman, Travel demand and the 3Ds: density, diversity, and design. Transp. Res. Part D: Transp. Environ. 2(3), 199–219 (1997)

    Article  Google Scholar 

  3. L.G. Franck, G. Pivo, Impacts of mixed use and density on utilization of three modes of travel: single-occupant vehicle, transit, and walking. Transp. Res. Rec. 1466, 44–52 (1994)

    Google Scholar 

  4. F.P. Tourneux, L’évolution de l’occupation du sol dans les franges franciliennes : des artificialisations concentrées plus qu’un étalement urbain?, in Paris et ses franges: étalement urbain et polycentrisme, vol. 101, ed. by A. Larceneux, C. Boiteux-Orain (Editions universitaires de Dijon, Dijon, 2006)

    Google Scholar 

  5. E. Charmes, L’artificialisation est-elle vraiment un problème quantitatif? Etudes Foncières 162, 23–28 (2013)

    Google Scholar 

  6. P.W.G. Newman, J.R. Kenworthy, Cities and Automobile Dependence: An International Sourcebook (Gower, Aldershot/Brookfield, VT, 1989)

    Google Scholar 

  7. L. Krier, Architecture: Choice or Fate (Andreas Papadakis, Windsor, Berks, UK, 1998)

    Google Scholar 

  8. A. Duany, E. Plater-Zybert, J. Speck, Suburban Nation: The Rise of Sprawl and the Decline of the American Dream (North Point Press, New York, 2000), p. 1910, Eberstadt et al

    Google Scholar 

  9. M. Neuman, The compact city fallacy. J. Plan. Educ. Res. 25, 11–26 (2005)

    Article  Google Scholar 

  10. P. Hall, Sustainable cities or town cramming?, in Planning for a Sustainable Future, ed. by S. Batty, S. Davoudi, A. Layard (Spon, London, 2001)

    Google Scholar 

  11. M.E. Bouwman, Changing mobility patterns in a compact city: environmental impacts, in Compact cities and sustainable urban development. A critical assessment of policies and plans from an international perspective, ed. by G. de Roo, D. Miller (Ashgate Publishing, Aldershot UK, 2000), pp. 229–40

    Google Scholar 

  12. M. Breheny, J. Gordon, S. Archer, Building densities and sustainable cities. Project Outline 5, Engineering and Phycical Sciences Research Council Sustainable Cities Programme, Swindon, UK (998)

    Google Scholar 

  13. R. Crane, The impacts of urban form on travel: an interpretive review. J. Plan. Lit. 15, 3–23 (2000)

    Article  Google Scholar 

  14. T. Schwanen, M. Dijst, F.M. Dieleman, Policies for urban form and their impact on travel: the Netherlands experience. Urban Stud. 41(3), 579–603 (2004)

    Article  Google Scholar 

  15. A. Bogaerts, F. Dieleman M. Dijst, S. Geertman, Economic deconcentration in a rational planning system: the Dutch case, in Employment deconcentration in European metropolitan areas, ed. by E. Razin, M. Dijst, Vázquez (Springer, 2007), pp. 29–52, 89–114

    Google Scholar 

  16. P. Calthorpe, The Next American Metropolis: Ecology, Community, and the American Dream (Princeton Architectural Press, 1993)

    Google Scholar 

  17. P. Frankhauser, C. Tannier, G. Vuidel, H. Houot, An integrated multifractal modelling to urban and regional planning. Comput. Environ. Urban Syst. 67, 132–146 (2018)

    Article  Google Scholar 

  18. C. Yamu, P. Frankhauser, Spatial accessibility to amenities, natural areas and urban green spaces: using a multiscale, multifractal simulation model for managing urban sprawl. Environ. Plan. B: Plan. Des. 42(6), 1054–1078 (2015)

    Google Scholar 

  19. O. Bonin, P. Frankhauser, X. Lehmann, Multi-scale accessibility assessment grounded in needs theory and land use documents, submitted to Transportation Research (2020)

    Google Scholar 

  20. A. Maslow, Motivation And Personality (Harper & Row, New-York, 1954). ISBN 9780060419875

    Google Scholar 

  21. M.A. Max-Neef, Human Scale Development (The Apex Press, New-York and London, 1991). ISBN 0-945257-35-X

    Google Scholar 

  22. J. Brun, J. Fagnani, Lifestyles and locational choices–trade-offs and compromises: a case-study of middle-class couples living in the Ile-de-France region. Urban Stud. 31(6), 921–934 (1994)

    Google Scholar 

  23. Mc Dowell, The new service class: housing, consumption and lifestyle among London bankers in the 1990s. Environ. Plan. A 29, 2061–2078 (1997)

    Article  Google Scholar 

  24. S.R. Lerman, Location, housing, automobile ownership, and mode to work: a joint choice model. Transp. Res. Rec. 610, 5–11 (1976)

    Google Scholar 

  25. P. Weichhart, H. Fassmann, W. Hesina (eds.), Zentralität und Raumentwicklung, Wien, Geschäftsstelle der Österreichischen Raumordnungskonferenz (Österreichische Raumordnungskonferenz (ÖROK), 167) (2005)

    Google Scholar 

  26. M. Fujita, H. Ogawa, Multiple equilibria and structural transition of nonmonocentric urban configurations. Reg. Sci. Urban Econ. 12, 161–196 (1982)

    Article  Google Scholar 

  27. R. Camagni, M. C. Gibelli, Développement urbain durable : Quatre métropoles européennes à l’épreuve. La Tour d’Aigues, Editions de l’Aube (1997)

    Google Scholar 

  28. D. Mignot, A. Aguiléra, D. Bloy, D. Caubel, J.L. Madre, Formes urbaines, mobilité et ségrégation. Une comparaison Lille, Lyon et Marseille (France), Transports - Sécurité 29(102) (2009)

    Google Scholar 

  29. M. Michalakis, G. Nicolas, Le cadavre exquis de la centralité: l’adieu à l’hexagone régulier. Ératosthène 1, 38–87 (1986)

    Google Scholar 

  30. B.J. Berry, W.L. Garrison, The functional bases of the central place hierarchy. Econ. Geogr. 34(2), 145–154 (1958)

    Article  Google Scholar 

  31. P. Krugman, Development, Geography and Economic Theory (Cambridge MA, London, 1995)

    Google Scholar 

  32. D. Fittkau, Beeinflussung regionaler Kaufkraftströme durch den Autobahnlückenschluß der A 49 Kassel–Gießen. Zur empirischen Relevanz der “New Economic Geography”, in wirtschaftsgeographischen Fragestellungen, PHD-thesis, Georg-August-University of Göttingen (2004)

    Google Scholar 

  33. W.A.V. Clark, Consumer travel patterns and the concept of range. Ann. Assoc. Am. Geogr. 58(2), 386–96 (1968)

    Google Scholar 

  34. T. Beatley, Green Urbanism: Learning From European Cities (Island Presse, 2012), p. 512

    Google Scholar 

  35. P. Hall, M. Tewdwr-Jones, Urban and Regional Planning, 5th edn. (Routledge, 2011), p. 304

    Google Scholar 

  36. R.J. Lamb, A.T. Purcell, Perception of naturalness in landscape and its relationship to vegetation structure. Landsc. Urban Plan. I9, 333–352 (1990)

    Article  Google Scholar 

  37. J. Guo, C. Bhat, Residential Location Modelling: Accommodating Sociodemographic, School Quality and Accessibility Effects (University of Texas, Austin, TX, 2002)

    Google Scholar 

  38. D.W. Hobden, G.E. Laughton, K.E. Morgan, Green Space Borders. A Tangible Benefit ? Evidence from Four Neighbourhoods in Surrey, British Columbia, Land Use Policy 21 pp. 129-38 (2004)

    Google Scholar 

  39. B. Bolitzer, R. Netusil, The impact of open spaces on property values in Portland, Oregon. J. Environ. Manag. 59, 185–193 (2000)

    Google Scholar 

  40. Y. Kestens, M. Thériault, F. Des Rosiers, The impact of surrounding land use and vegetation on single-family house prices. Environ. Plan. B: Plan. Des. 31, 539–567 (2004)

    Google Scholar 

  41. A. Van Herzele, T. Wiedemann, M. Van Overmeiren, Environment and nature report for Flanders MIRA-S 2000, in Stedelijk Milieu (Urban Environment). Vlaamse Milieumaatschappij & Garant Uitgevers NV, Leuven/ Apeldoorn (2000)

    Google Scholar 

  42. A. Ellaway, S. Macintyre, A. Kearns, Perceptions of place and health in socially contrasting neighbourhoods. Urban Stud. 38(12), 2299–2316 (2001)

    Article  Google Scholar 

  43. G.W. Evans, The built environment and mental health. J. Urban Health 80(4), 536–555 (2003)

    Article  Google Scholar 

  44. C.A. Latkin, A.D. Curry, Stressful neighborhoods and depression: a prospective study of the impact of neighborhood disorder. J. Health Soc. Behav. 44(1), 34–44 (2003)

    Article  Google Scholar 

  45. M. Braubach, Residential conditions and their impact on residential environment satisfaction and health: results of the WHO large analysis and review of European housing and health status (LARES) study, in International Journal Environment and Pollution, 30-3/4 (2007)

    Google Scholar 

  46. S. Kaplan, The restorative benefits of nature: toward an integrative framework. J. Environ. Psychol. 15(3), 169–182 (1995)

    Google Scholar 

  47. D.B. Botkin, C.E. Beveridge, Cities as environments. Urban Ecosyst. 1(1), 3–19 (1997)

    Article  Google Scholar 

  48. M.B. Jensen, B. Persson, S. Guldager, U. Reeh, K. Nilsson, Green structure and sustainability: develo** a tool for local planning. Landsc. Urban Plan. 52, 117–133 (2000)

    Article  Google Scholar 

  49. M. Francis, R.T. Hester, The Meaning of Gardens (The MIT Press, Cambridge, 1990)

    Google Scholar 

  50. R. Kaplan, Some psychological benefits of gardening. Environ. Behav. 5(2), 145–162 (1973)

    Article  Google Scholar 

  51. G.J. Syme, M.D. Fenton, S. Coakes, Lot size, garden satisfaction and local park and wetland visitation. Landsc. Urban Plan. 56, 161–170 (2001)

    Article  Google Scholar 

  52. S. Brower, Good Neighbourhoods: A Study of In-town and Suburban Residential Environments (Praeger, New York, 1996), p. 232

    Google Scholar 

  53. B. Hedges, S. Clemens, Housing Attitudes Survey (HMSO, London, 1994)

    Google Scholar 

  54. G. Gault, L. Bedeau (eds.), Les Français et leur habitat-Perception de la densité et des formes d’habitat, Principaux enseignements du sondage réalisé pour l’Observatoire de la Ville du 10 au 12 janvier 2007 (TNS Sofres, Département Stratégies d’Opinion/Société, 2007). http://www.observatoiredelaville.com/pdf/Synthesesondage.pdf

  55. W. Kuttler, Climate change in urban areas - Part 2: measures. Environ. Sci. Europe 23, 21 (2011)

    Article  Google Scholar 

  56. W. Kuttler, D. Dütemeyer, A.B. Barlang, Influence of regional and localwinds on urban ventilation in Cologne, Germany. MeteorologischeZeitschrift; N.F. 7:77-87 (1998)

    Google Scholar 

  57. R. A. Spronken-Smith, T.R. Oke, Scale modelling of nocturnal cooling in urban parks boundary-layer meteorology, vol. 93, Issue 2, pp. 287–312 (1999)

    Google Scholar 

  58. T. Sachsen, G. Ketzler, A. Knörchen, C. Schneider, Past and future evolution of nighttime urban cooling by suburban cold air drainage in Aachen Die erde. J. Geog. Soc. Berl. 144(3–4), 274–289 (2013)

    Google Scholar 

  59. H.W. Frey, Not green belts but green wedges: the precarious relationship between city and country. Urban Des. Int. 5, 13–25 (2000)

    Article  Google Scholar 

  60. M.E. Kahn, The environmental impact of suburbanization. J. Policy Anal. Manag. 19(4), 569–586 (2000)

    Article  Google Scholar 

  61. J.R. Krummel, R.H. Gardner, G. Sugihara, R.V. O’Neill, P.R. Coleman, Landscape patterns in a disturbed environment. Oikos 48, 321–324 (1987)

    Article  Google Scholar 

  62. R.T.T. Forman, Land Mosaics: The Ecology of Landscapes and Regions (University Press, Cambridge, 1995)

    Book  Google Scholar 

  63. J. Linehan, M. Gross, J. Finn, Greenway planning: develo** a landscape ecological network approach. Landsc. Urban Plan. 33, 179–193 (1995)

    Article  Google Scholar 

  64. L. Harris, The Fragmented Forest (University of Chicago Press, Chicago, IL, 1984)

    Book  Google Scholar 

  65. B.A. Wilcox, D. Murphy, Conservation strategy: the effects of fragmentation on extinction. Am. Nat. 125(6), 879–887 (1985)

    Article  Google Scholar 

  66. S.K. Collinge, Ecological consequences of habitat fragmentation: implications for landscape architecture and planning. Landsc. Urban Plan. 36(1), 59–77 (1996)

    Article  Google Scholar 

  67. R.H.G. Jongman et al., European ecological networks and greenways. Landsc. Urban Plan. 68, 305–319 (2004)

    Article  Google Scholar 

  68. J.G. Fábos, Greenway planning in the United States: its origins and recent case studies. Landsc. Urban Plan. 68, 321–342 (2004)

    Article  Google Scholar 

  69. W.H. Whyte, Securing Open Space for Urban America, Technical bulletin, Urban Land Institute, p. 67 (1959)

    Google Scholar 

  70. H.J. Mader, Die Isolationswirkung von Verkehrsstraßen auf Tierpopulationen untersucht am Beispiel von Arthropoden und Kleinsäugern der Waldbiozönose. Schriftenreihe Landschaftspflege Naturschutz H. 19, 131 (1979)

    Google Scholar 

  71. H.J. Mader, Untersuchungen zum Einfluss der Flachengrosse von lnselbiotopen auf deren Funktion als Trittstein oder Refugium. Natur und Landschaft 56, 235–242 (1981)

    Google Scholar 

  72. M. Bryant, Urban landscape conservation and the role of ecological greenways at local and metropolitan scales. Landsc. Urban Plan. 76(1–4), 23–44 (2006)

    Article  Google Scholar 

  73. R. Eberstadt, B. Möhring, R. Petersen, Gross-Berlin (Ein Programm für die Planung der neuzeitlichen Grosstadt, Wasmuth, Berlin, 1910)

    Google Scholar 

  74. C. Von Haaren, M. Reich, The German way to greenways and habitat networks. Landsc. Urban Plan. 76(1-4), 7–22 (2006)

    Google Scholar 

  75. J. Dettmar, K. Ganser (eds.), IndustrieNatur-Ökologie und Gartenkunst im Emscherpark (Ulmer, Stuttgart, 1999)

    Google Scholar 

  76. T. Turner, Greenway planning in Britain: recent work and future plans. Landsc. Urban Plan. 76, 240–25 (2006)

    Google Scholar 

  77. A. Von Hoffman, J. Felkner, The historical origins and causes of urban decentralization in the United States, Joint Center for Housing Studies, Harvard University (WP 02-1) (2002)

    Google Scholar 

  78. M.J. Breheny, Urban compaction: feasible and acceptable? Cities 14, 209–217 (1997)

    Article  Google Scholar 

  79. P. Gordon, H.W. Richardson, Are compact cities a desirable planning goal? J. Am. Plan. Assoc. 63, 95–106 (1997)

    Google Scholar 

  80. D. Garcia, P. Riera, Expansion versus density in Barcelona: a valuation exercise. Urban Stud. 40(10), 1925–1936 (2003)

    Article  Google Scholar 

  81. S.E. Owens, Land-use planning for energy efficiency. Appl. Energy 43, 81–114 (1992)

    Article  Google Scholar 

  82. J. Remy, La ville: réseau alvéolaire et mobilité spatiale, in Figures architecturales - formes urbaines, ed. by P. Pellegrino (Anthropos, Genève, 1994)

    Google Scholar 

  83. M. Breheny, Sustainable Development and Urban Form, London, Pion, p. 292 (1992)

    Google Scholar 

  84. D.M. Levinson, A. Kumar, The rational locator: why travel times have remained stable. J. Am. Plan. Assoc. 60, 319–332 (1994)

    Google Scholar 

  85. R. Cervero, J. Murakami, Effects of built environments on vehicle miles traveled: evidence from 370 US urbanized areas. Environ. Plan. A 42, 400–418 (2010). https://doi.org/10.1068/a4236

  86. M. Czepkiewicz, J. Heinonen, J. Ottelin, Why do urbanites travel more than do others? A review of associations between urban form and long-distance leisure travel. Environ. Res. Lett. 13(073001), 1–29 (2018)

    Google Scholar 

  87. J. Heinonen, R. Kyrö, S. Junnila, Dense downtown living more carbon intense due to higher consumption: a case study of Helsinki. Environ. Res. Lett. 6(034034), 1–9 (2011)

    Google Scholar 

  88. J. Heinonen, M. Jalas, J.K. Juntunen, S. Ala-Mantila, S. Junnila, Situated lifestyles: I. How lifestyles change along with the level of urbanization and what the greenhouse gas implications are - a study of Finland. Environ. Res. Lett. 8(025003), 1–13 (2013)

    Google Scholar 

  89. H. Nessi, Incidences du contexte urbain et du rapport au cadre de vie sur la mobilité de loisir ? PHD thesis in Planning and Urbanism, University of Paris Est (2012)

    Google Scholar 

  90. E. Burton, The compact city: just or just compact? A preliminary analysis. Urban Stud 37(11), 1969–2001 (2000)

    Article  Google Scholar 

  91. M. Bontje, Facing the challenge of shrinking cities in East Germany: the case of Leipzig. GeoJournal 61(1), 13–21 (2005)

    Article  Google Scholar 

  92. H. Frey, Designing the City: Towards a More Sustainable Urban Form (E. & F. N. Spon, London, 1999), VII- p. 148

    Google Scholar 

  93. F. Beaucire, S. Rosales-Montano, E. Duflos, I. Turchetti, Les outils de planification urbaine au service de la relation urbanisme/transport : approche dans la perspective du développement durable, Synthèse de recherche, Projet DRAST/ PREDIT 98MT115, Fédération Nationale des Agences d’Urbanisme (1999)

    Google Scholar 

  94. P. Frankhauser, Fractal geometry for measuring and modelling urban patterns, in The Dynamics of Complex Urban Systems-An interdisciplinary approach, ed. by S. Albeverio, D. Andrey, P. Giordano, A. Vancheri (Springer, Heidelberg, 2008), pp. 241–243

    Google Scholar 

  95. P. Frankhauser, The Fractalopolis model - a sustainable approach for a central place system. Working paper (2012). https://hal.archives-ouvertes.fr/hal-00758864/

  96. J.-P. Antoni, O. Bonin, P. Frankhauser, H. Houot, J.-P. Nicolas, C. Thierry, L. Tomasoni, F. Toilier, G. Vuidel, VILMODes - Ville et mobilitées durables - Evaluation par la simulation, Trois scénarios d’aménagement pour Lyon et Besançon à l’horizon 2030, PREDIT, Ministère de l’Environnement, de l’Énergie et de la Mer (2015)

    Google Scholar 

  97. J. Cavailhès, P. Frankhauser, D. Peeters, I. Thomas, Residential equilibrium in a multifractal metropolitan area. Ann. Reg. Sci. 45, 681–704 (2010)

    Google Scholar 

  98. S.T. Borgström, T. Elmqvist, P. Angelstam, C. Alfsen-Norodom, Scale mismatches in management of urban landscapes. Ecol. Soc. 11(2), 16 (2006)

    Google Scholar 

  99. C. Czerkauer, Strategic planning for develo** sustainable metropolitan areas with a multiscale decision support system. The Vienna case, PhD thesis, Université de Franche-Comté (2012)

    Google Scholar 

  100. C. Tannier, G. Vuidel, H. Houot, P. Frankhauser, Spatial accessibility to amenities in fractal and nonfractal urban patterns. Environ. Plan. B: Plan. Des. 39(5), 801–819 (2012)

    Article  Google Scholar 

  101. AMA – American Marketing Association: Report of the Definitions Committee. J. Mark. 13, 202–217 (1948)

    Google Scholar 

  102. a’urba – Agence d’urbanisme de Bordeaux métropole, L’accès aux commerces et équipements de la vie quotidienne - Résultats d’une enquête quantitative sur les usages et attentes des habitants dans l’aire métropolitaine de Bordeaux, a’urba, 76 p (2017)

    Google Scholar 

  103. H. Hotelling, Stability in Competition, 39 Economic Journal, 41 (10.2307), 222421441 (1929)

    Google Scholar 

  104. R.L. Nelson, The selection of retail locations FW Dodge Corporation (1958)

    Google Scholar 

  105. S. Brown, Retail location theory: the legacy of harold hotteling. J. Retail. 65, 450–470 (1989)

    Google Scholar 

  106. K. Jones, J. Simmons, The Retail Environment (Routledge Publication, London, UK, 1990)

    Google Scholar 

  107. H. Bandemer, Mathematics of Uncertainty: Ideas, Methods, Application Problems, vol. 189 (Springer Science & Business Media, 2005)

    Google Scholar 

  108. IAU Île de France, La desserte en espaces verts, un outil de suivi de la trame verte d’agglomération (2009)

    Google Scholar 

  109. Ö. Öner, Retail Productivity: Investigating the Influence of Market Size and Regional Hierarchy, IFN Working Paper, No. 1047 (2014)

    Google Scholar 

  110. F. Ciari, M. Löchl, K.W. Axhausen, Location choice of retailers – an agent-based approach, 15th International Conference on Recent Advances in Retailing and Services Science, Zagreb (2008)

    Google Scholar 

  111. I.S. Lowry, A model of metropolis (No. RM-40535-RC). RAND CORP SANTA MONICA CALIF (1964)

    Google Scholar 

  112. J.-P. Antoni, G. Vuidel, MobiSim, un modèle multi-agents et multi-scalaire pour simuler les mobilités urbaines. Jean-Philippe Antoni. Modéliser la ville, Forme urbaine et politiques de transport, Economica, Méthodes et approches (2010), pp. 50–77

    Google Scholar 

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Acknowledgements

The author is very grateful to the French Ministry of Ecology, Sustainable Development, Energy and the Sea and to France’s Energy Agency (ADEME) for supporting various projects, mostly as part of the PREDIT research program, that have contributed to the research presented here.

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  1. ThéMA (CNRS UMR 6049), Université de Franche-Comté, Besançon, France

    Pierre Frankhauser

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    Patricia Sajous

  2. University Le Havre Normandie, Le Havre, France

    Cyrille Bertelle

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Frankhauser, P. (2021). Fractalopolis—A Fractal Concept for the Sustainable Development of Metropolitean Areas. In: Sajous, P., Bertelle, C. (eds) Complex Systems, Smart Territories and Mobility. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-59302-5_2

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