IDEAS home Printed from https://ideas.repec.org/a/spr/portec/v24y2025i3d10.1007_s10258-025-00273-0.html
   My bibliography  Save this article

Continuous space core-periphery model with transport costs in differentiated agriculture

Author

Listed:
  • Kensuke Ohtake

    (Shinshu University)

Abstract

The core-periphery model with transport costs in differentiated agriculture is extended to continuous space. A homogeneous stationary solution is unstable but exhibits re-multi-polarization; it is stabilized by both sufficiently low and sufficiently high manufacturing transport costs but destabilized by intermediate manufacturing transport costs. It is numerically observed that a solution starting from around the unstable homogeneous solution eventually forms a spike-like agglomeration. Moreover, the re-multi-polarization also appears in the sense that the number of spikes goes from decreasing to increasing as the manufacturing transport costs decrease. It is also observed that lower agricultural transport costs and a stronger preference for agricultural variety promote agglomeration.

Suggested Citation

  • Kensuke Ohtake, 2025. "Continuous space core-periphery model with transport costs in differentiated agriculture," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 24(3), pages 469-502, September.
    • Handle: RePEc:spr:portec:v:24:y:2025:i:3:d:10.1007_s10258-025-00273-0
    DOI: 10.1007/s10258-025-00273-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10258-025-00273-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10258-025-00273-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Takatsuka, Hajime & Zeng, Dao-Zhi, 2012. "Trade liberalization and welfare: Differentiated-good versus homogeneous-good markets," Journal of the Japanese and International Economies, Elsevier, vol. 26(3), pages 308-325.
    2. Tabuchi, Takatoshi & Thisse, Jacques-François, 2011. "A new economic geography model of central places," Journal of Urban Economics, Elsevier, vol. 69(2), pages 240-252, March.
    3. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    4. Kensuke Ohtake, 2023. "A Continuous Space Model of New Economic Geography with a Quasi-Linear Log Utility Function," Networks and Spatial Economics, Springer, vol. 23(4), pages 905-930, December.
    5. Kensuke Ohtake, 2021. "A continuous space model of new economic geography with a quasi-linear log utility function," Papers 2108.12217, arXiv.org, revised Aug 2023.
    6. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    7. Dao‐Zhi Zeng & Toru Kikuchi, 2009. "Home Market Effect And Trade Costs," The Japanese Economic Review, Japanese Economic Association, vol. 60(2), pages 253-270, June.
    8. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2012. "Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1729-1759.
    9. Picard, Pierre M. & Zeng, Dao-Zhi, 2005. "Agricultural sector and industrial agglomeration," Journal of Development Economics, Elsevier, vol. 77(1), pages 75-106, June.
    10. Kiyohiro Ikeda & Mikihisa Onda & Yuki Takayama, 2019. "Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model," Networks and Spatial Economics, Springer, vol. 19(1), pages 57-82, March.
    11. Takashi Hayashi, 2021. "Microeconomic Theory for the Social Sciences," Springer Books, Springer, number 978-981-16-3541-0, March.
    12. Nuria Gallego & José L. Zofío, 2018. "Trade Openness, Transport Networks and the Spatial Location of Economic Activity," Networks and Spatial Economics, Springer, vol. 18(1), pages 205-236, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. José M. Gaspar, 2018. "A prospective review on New Economic Geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(2), pages 237-272, September.
    2. Kensuke Ohtake, 2025. "Unique global solution of an integral-differential equation of Footloose Entrepreneur model in new economic geography," Papers 2505.11241, arXiv.org.
    3. Minoru Tabata & Nobuoki Eshima, 2023. "Approximation of a Continuous Core-periphery Model by Core-periphery Models with a Large Number of Small Regions," Networks and Spatial Economics, Springer, vol. 23(1), pages 223-283, March.
    4. Marcus Berliant & Tomoya Mori, 2017. "Beyond urban form: How Masahisa Fujita shapes us," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 5-28, March.
    5. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
    6. Hajime TAKATSUKA & Dao-Zhi ZENG & Laixun ZHAO, 2013. "Resource-based Regions, the Dutch Disease and City Development," Discussion papers 13001, Research Institute of Economy, Trade and Industry (RIETI).
    7. Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2012. "Spatial period-doubling agglomeration of a core–periphery model with a system of cities," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 754-778.
    8. Kiyohiro Ikeda & Yuki Takayama & José M. Gaspar & Minoru Osawa, 2022. "Perturbed cusp catastrophe in a population game: Spatial economics with locational asymmetries," Journal of Regional Science, Wiley Blackwell, vol. 62(4), pages 961-980, September.
    9. Ikeda, Kiyohiro & Murota, Kazuo & Akamatsu, Takashi & Kono, Tatsuhito & Takayama, Yuki, 2014. "Self-organization of hexagonal agglomeration patterns in new economic geography models," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 32-52.
    10. Takatsuka, Hajime & Zeng, Dao-Zhi, 2016. "Nontariff protection without an outside good," International Review of Economics & Finance, Elsevier, vol. 41(C), pages 65-78.
    11. Ikeda, Kiyohiro & Onda, Mikihisa & Takayama, Yuki, 2018. "Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 129-152.
    12. Antonella Nocco, 2009. "Preference Heterogeneity And Economic Geography," Journal of Regional Science, Wiley Blackwell, vol. 49(1), pages 33-56, February.
    13. Pflüger, Michael & Tabuchi, Takatoshi, 2010. "The size of regions with land use for production," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 481-489, November.
    14. Takashi Akamatsu & Tomoya Mori & Yuki Takayama, 2015. "Agglomerations in a multi-region economy: Poly-centric versus mono-centric patterns," KIER Working Papers 929, Kyoto University, Institute of Economic Research.
    15. Ikuto Aiba, 2024. "Information technology, market congestion, and economic geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 73(3), pages 1269-1295, October.
    16. Kiyohiro Ikeda & Mikihisa Onda & Yuki Takayama, 2019. "Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model," Networks and Spatial Economics, Springer, vol. 19(1), pages 57-82, March.
    17. Kensuke Ohtake, 2022. "Agglomeration triggered by the number of regions: a NEG model with a quadratic subutility function," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 129-145, May.
    18. Kensuke Ohtake, 2023. "A Continuous Space Model of New Economic Geography with a Quasi-Linear Log Utility Function," Networks and Spatial Economics, Springer, vol. 23(4), pages 905-930, December.
    19. Hiroki Aizawa & Kiyohiro Ikeda & Yosuke Kogure, 2023. "Satellite City Formation for a Spatial Economic Model," Networks and Spatial Economics, Springer, vol. 23(3), pages 529-558, September.
    20. Mauricio Ramírez Grajeda & Ian M. Sheldon, 2015. "Trade Openness and City Interaction," World Scientific Book Chapters, in: Amitrajeet A Batabyal & Peter Nijkamp (ed.), THE REGION AND TRADE New Analytical Directions, chapter 10, pages 267-318, World Scientific Publishing Co. Pte. Ltd..

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • Q10 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - General
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:portec:v:24:y:2025:i:3:d:10.1007_s10258-025-00273-0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.