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Modelling Migration and Economic Agglomeration with Active Brownian Particles

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  • Frank Schweitzer

    (Institute of Physics, Humboldt University, Unter den Linden 6, 10099 Berlin, Germany)

Abstract

We propose a stochastic dynamic model of migration and economic aggregation in a system of employed (immobile) and unemployed (mobile) agents which respond to local wage gradients. Dependent on the local economic situation, described by a production function which includes cooperative effects, employed agents can become unemployed and vice versa. The spatio-temporal distribution of employed and unemployed agents is investigated both analytically and by means of stochastic computer simulations. We find the establishment of distinct economic centers out of a random initial distribution. The evolution of these centers occurs in two different stages: (i) small economic centers are formed based on the positive feedback of mutual stimulation/cooperation among the agents, (ii) some of the small centers grow at the expense of others, which finally leads to the concentration of the labor force in different extended economic regions. This crossover to large-scale production is accompanied by an increase in the unemployment rate. We observe a stable coexistence between these regions, although they exist in an internal quasistationary non-equilibrium state and still follow a stochastic eigendynamics.

Suggested Citation

  • Frank Schweitzer, 1998. "Modelling Migration and Economic Agglomeration with Active Brownian Particles," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 11-37.
    • Handle: RePEc:wsi:acsxxx:v:01:y:1998:i:01:n:s021952599800003x
    DOI: 10.1142/S021952599800003X
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    Citations

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    Cited by:

    1. Thomas Brenner & Niels Weigelt, 2001. "The Evolution Of Industrial Clusters — Simulating Spatial Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 127-147.
    2. García-Díaz, César & Moreno-Monroy, Ana I., 2012. "Social influence, agent heterogeneity and the emergence of the urban informal sector," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1563-1574.
    3. Brenner Thomas, 2008. "Cluster dynamics and policy implications," ZFW – Advances in Economic Geography, De Gruyter, vol. 52(1), pages 146-162, October.
    4. Schweitzer, Frank & Zimmermann, Jörg & Mühlenbein, Heinz, 2002. "Coordination of decisions in a spatial agent model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 189-216.
    5. Anna Klabunde & Frans Willekens, 2016. "Decision-Making in Agent-Based Models of Migration: State of the Art and Challenges," European Journal of Population, Springer;European Association for Population Studies, vol. 32(1), pages 73-97, February.
    6. Marcello Marini & Ndaona Chokani & Reza S. Abhari, 2019. "Agent-Based Model Analysis of Impact of Immigration on Switzerland’s Social Security," Journal of International Migration and Integration, Springer, vol. 20(3), pages 787-808, August.
    7. Nowak, Andrzej & Kuś, Marek & Urbaniak, Jakub & Zarycki, Tomasz, 2000. "Simulating the coordination of individual economic decisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 613-630.

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