Ikeda, Kiyohiro and Aizawa, Hiroki and Gaspar, Jose M. (2020): How and where satellite cities form around a large city: Sustain bifurcation mechanism of a long narrow economy.
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Abstract
We investigate economic agglomeration in a long narrow economy, in which discrete locations are evenly spread over a line segment. We elucidate the mechanism how (new) satellite cities form around a central city by the bifurcation analysis of a monocentric city at the center. The validity and usefulness of this mechanism are ensured for various kinds of spatial economic models, namely Forslid & Ottaviano (J Econ Geo, 2003), Pfluger (Reg Sci Urban Econ, 2004), Pfluger and Sudekum (J Urban Econ, 2008), and Murata and Thisse (J Urban Econ, 2005). Where satellite cities emerge is demonstrated to be dependent on the models and their economic parameters. For the first two models, for example, the larger the agglomeration forces, the farther away from the monocentric city satellite cities emerge. The transition of stable agglomeration patterns is observed and is put to use in the explanation of the history of city size distribution in the real world.
Item Type: | MPRA Paper |
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Original Title: | How and where satellite cities form around a large city: Sustain bifurcation mechanism of a long narrow economy |
Language: | English |
Keywords: | Bifurcation; economic geography; long narrow economy; satellite city; sustain point. |
Subjects: | R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R13 - General Equilibrium and Welfare Economic Analysis of Regional Economies |
Item ID: | 112838 |
Depositing User: | Prof. Kiyohiro Ikeda |
Date Deposited: | 28 Apr 2022 13:25 |
Last Modified: | 28 Apr 2022 13:25 |
References: | T. Ago, I. Isono, T. Tabuchi. Locational disadvantage of the hub, Annals of Regional Science 40(4) (2006) 819--848. H. Aizawa, K. Ikeda, M. Osawa, J. M. Gaspar. Breaking and sustaining bifurcations in $S_N$-Invariant equidistant economy, International Journal of Bifurcation and Chaos 30(16) (2020) 2050240. T. Akamatsu, T. Mori, M. Osawa, Y. Takayama. Multimodal agglomeration in economic geography, arXiv preprint arXiv:1912.05113v3 (2021). T. Allen, K. Arkolakis. Trade and the topography of the Spatial Economy, The Quarterly Journal of Economics 129(3) (2014) 1089--1140. J. E. Anderson, E. Van Wincoop. Trade costs, Journal of Economic Literature 42(3) (2004) 691--751. W. B. Arthur. Silicon Valley' locational clusters: When do increasing returns imply monopoly? Mathematical Social Sciences 19(3) (1990) 235--251. R. Baldwin, R. Forslid, P. Martin, G. Ottaviano. Economic geography and public policy, Princeton University Press, 2003. K. Behrens, Y. Murata. On quantitative spatial economic models, Journal of Urban Economics 123 (2021) {103348}. J. H. Bergstrand, P. Egger, M. Larch. Gravity Redux: Estimation of gravity-equation coefficients, elasticities of substitution, and general equilibrium comparative statics under asymmetric bilateral trade costs, Journal of International Economics 89(1) (2013) 110-121. S. B. S. D. Castro, J. Correia-da-Silva, J. M. Gaspar. Economic Geography meets Hotelling: The home-sweet-home effect, Economic Theory 73 (2022) 183--209. W. Christaller. Die zentralen Orte in Suddeutschland}, Gustav Fischer, Jena, 1933. English translation: Central Places in Southern Germany, Prentice Hall, Englewood Cliffs, 1966. Eurostat. Regional demographic statistics, Population on 1 January (2017). R. Forslid, G. I. P. Ottaviano. An analytically solvable core-periphery model, Journal of Economic Geography 3 (2003) 229--340. M. Fujita, P. Krugman. When is the economy monocentric?: von Thunen and Chamberlin unified, Regional Science and Urban Economics 25(4) (1995) 505--528. M. Fujita, P. Krugman, A. J. Venables. The Spatial Economy: Cities, Regions, and International Trade, MIT Press, Cambridge, 1999. M. Fujita, T. Mori. Structural stability and the evolution of urban systems, Regional Science and Urban Economics 42 (1997) 399--442. M. Fujita, T. Mori. Frontiers of the New Economic Geography, Papers in Regional Science 84(3) (2005) 377--405. J. M. Gaspar. A prospective review on New Economic Geography, The Annals of Regional Science 61(2) (2018) 237--272. J. M. Gaspar. New Economic Geography: History and debate, The European Journal of the History of Economic Thought 28 (2021) 46--82. J. M. Gaspar, S. B. S. D. Castro, J. Correia-da-Silva. Agglomeration patterns in a multi-regional economy without income effects, Economic Theory 66(4) (2018) 863--899. J. M. Gaspar, S. B. S. D. Castro, J. Correia-da-Silva. The Footloose Entrepreneur model with a finite number of equidistant regions, International Journal of Economic Theory 16(4) (2019) 420--446. J. M. Gaspar, K. Ikeda, M. Onda. Global bifurcation mechanism and local stability of identical and equidistant regions: Application to three regions and more, Regional Science and Urban Economics 86 (2021) 103597. K. Hayakawa, H. R. A. Koster, T. Tabuchi, J.-F. Thisse. High-speed rail and the spatial distribution of economic activity: Evidence from Japan's Shinkansen, Rieti Discussion Paper Series, 21-E-003 (2021). E. Helpman. The Size of Regions, In: Pines, D., Sadka, E. and Zilcha, I. Eds., Topics in Public Economics: Theoretical and Applied Analysis, Cambridge University Press, Cambridge (1998) 33--54. K. Ikeda, T. Akamatsu, T. Kono. Spatial period-doubling agglomeration of a core--periphery model with a system of cities, Journal of Economic Dynamics and Control 36 (2012) 754--778. K. Ikeda, K. Murota. Imperfect Bifurcation in Structures and Materials, 3rd ed., Springer-Verlag, New York, 2019. K. Ikeda, K. Murota, T. Akamatsu, Y. Takayama. Agglomeration patterns in a long narrow economy of a new economic geography model: Analogy to a racetrack economy, International Journal of Economic Theory 13 (1) (2017) 113-145. K. Ikeda, M. Onda, Y. Takayama. Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions, Journal of Economic Dynamics and Control 92 (2018) 129--152. Y. M. Ioannides, H. G. Overman. Spatial evolution of the US urban system, Journal of Economic Geography 4(2) (2004) 131--156. P. Krugman. Increasing returns and economic geography, Journal of Political Economy 99 (1991) 483--499. T. Mori. A modeling of megalopolis formation: The maturing of city systems, Journal of Urban Economics 42 (1997) 133--157. Y. Murata, J.-F. Thisse. A simple model of economic geography a la Helpman--Tabuchi, Journal of Urban Economics 58(1) (2005) 137--155. G. Ottaviano, T. Tabuchi, J.-F. Thisse. Agglomeration and trade revisited, International Economic Review 43(2) (2002) 409--435. M. Pfluger. A simple, analytically solvable, Chamberlinian agglomeration model, Regional Science and Urban Economics 34(5) (2004) 565--573. M. Pfluger, J. Sudekum. A synthesis of footloose-entrepreneur new economic geography models: when is agglomeration smooth and easily reversible? Journal of Economic Geography 8(1) (2008) 39--54. D. Puga. The rise and fall of regional inequalities, European Economic Review 43(2) (1999) 303--334. S. J. Redding, E. Rossi-Hansberg. Quantitative spatial economics, Annual Review of Economics 9 (2017) 21--58. S. J. Redding, D. M. Sturm. The costs of remoteness: Evidence from German division and reunification, American Economic Review 99(5) (2008) 1766--1797. T. Tabuchi. Urban agglomeration and dispersion: a synthesis of Alonso and Krugman, Journal of Urban Economics 44(3) (1998) 333--351. Y. Takayama, K. Ikeda, J.-F. Thisse. Stability and sustainability of urban systems under commuting and transportation costs, Regional Science and Urban Economics 84 (2020) 103553. P. D. Taylor, L. B. Jonker. Evolutionary stable strategies and game dynamics, Mathematical Biosciences 40(1-2) (1978) 145--156. J.-F. Thisse, M. Turner, P. Ushchev. A unified theory of cities, NBER WORKING PAPER SERIES 29078 (2021). United Nations, Department of Economic and Social Affairs, Population Division. World Urbanization Prospects: The 2018 Revision, Online Edition (2018). |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/112838 |
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How and where satellite cities form around a large city: Bifurcation mechanism of a long narrow economy. (deposited 16 Dec 2020 08:01)
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