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Settlement Formation: Part II: Numerical Simulation

Author

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  • Munz, M
  • Weidlich, W

Abstract

Numerical simulations of several simple versions of a recently formulated dynamic theory of settlement formation are implemented. Preparatory work includes: the coarse graining of the equations of motion; the explicit choice of the spatial joint probability of production and consumption; and the calibration of all model parameters. Different combinations of fixed costs and transportation cost parameters lead to a variety of settlement structures. These results of the dynamic simulation can be interpreted in terms of well-known empirical regularities of settlement formation theory.

Suggested Citation

  • Munz, M & Weidlich, W, 1990. "Settlement Formation: Part II: Numerical Simulation," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 24(3), pages 177-196.
    • Handle: RePEc:spr:anresc:v:24:y:1990:i:3:p:177-96
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    Cited by:

    1. Minoru Osawa & Takashi Akamatsu & Yuki Takayama, 2017. "Harris And Wilson (1978) Model Revisited: The Spatial Period‐Doubling Cascade In An Urban Retail Model," Journal of Regional Science, Wiley Blackwell, vol. 57(3), pages 442-466, June.
    2. Ikeda, Kiyohrio & Onda, Mikihisa & Takayama, Yuki, 2017. "Bifurcation theory of a square lattice economy: Racetrack economy analogy in an economic geography model," MPRA Paper 78120, University Library of Munich, Germany.
    3. Ikeda, Kiyohiro & Murota, Kazuo & Takayama, Yuki & Kamei, Motohiro, 2016. "Group-theoretic spectrum analysis of hexagonal city distributions in Southern Germany and Eastern USA," MPRA Paper 74567, University Library of Munich, Germany.
    4. 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.
    5. Kogure, Yosuke & Ikeda, Kiyohiro, 2021. "Group-theoretic analysis of a scalar field on a square lattice," MPRA Paper 107740, University Library of Munich, Germany.
    6. 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.
    7. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
    8. 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.
    9. Kiyohiro Ikeda & Minoru Osawa & Yuki Takayama, 2022. "Time Evolution of City Distributions in Germany," Networks and Spatial Economics, Springer, vol. 22(1), pages 125-151, March.
    10. Ahmed Saber Mahmud, 2022. "Demand-pull versus cost-push: monocentric equilibrium in a spatial network," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 69(2), pages 455-485, October.
    11. Slavko, Bohdan & Glavatskiy, Kirill S. & Prokopenko, Mikhail, 2021. "Revealing configurational attractors in the evolution of modern Australian and US cities," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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