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Aggregate and Disaggregate Dynamic Spatial Interaction Approaches to Modeling Coin Diffusion

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Spatial Analysis and Location Modeling in Urban and Regional Systems

Part of the book series: Advances in Geographic Information Science ((AGIS))

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Abstract

With the 2002 introduction of the euro as a common currency in Europe, the possibility has emerged to assess international mobility using this new tracer, given that every coin bears a specific national side. Using a simple two-country framework, four dynamic modeling strategies were designed in order to simulate the diffusion of coins and to understand how this diffusion is affected by population size, mobility rates and coin exchange processes. Methodological implications are raised with respect to aggregation, synchronicity and stochasticity issues.

Although each model converges to an equilibrium, the time to reach this end stage and the level of coin mixing in each country strongly varies with the modeling strategy. Calibration is undertaken with French data, using mobility rates as adjustment variables. The experiment shows that convergence to a perfect mix of coins can only be obtained if reciprocal exchanges are modeled, with a time horizon around 2064 – while non-reciprocal models indicate an imperfect mix converging in the year 2020 at the latest.

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Notes

  1. 1.

    A two-ways asynchronous model would correspond to a situation where the total currency available in each place would be updated after the moves of agents. Mobile agent would nevertheless be able to conduct a transaction only with immobile agents at destination. Consequently, they would return home with the same money bag as in Model I. Besides, if the locals are the receivers, then they would receive the same money as if they were moving to the other city, again resembling Model I. A two-ways asynchronous model would thus add little sense at an aggregated level and is not analyzed in this paper.

  2. 2.

    Asymptotic regression with lower limit at 0 (2 parameters).

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Acknowledgements

The authors are grateful to Nathalie Corson, Florent Le Néchet, Hélène Mathian, Romain Reuillon and Clara Schmitt for their help. This research benefited from funding by the Fonds National de la Recherche (FNR) in Luxembourg (AFR grant PHD-09-158).

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Authors and Affiliations

  1. University Paris Diderot, Paris, France

    Marion Le Texier

  2. University Rouen Normandie, Mont-Saint-Aignan, France

    Marion Le Texier

  3. University of Luxembourg, Luxembourg, Luxembourg

    Geoffrey Caruso

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  1. Marion Le Texier
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Correspondence to Marion Le Texier .

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  1. Geography & Earth Sciences, University of North Carolina at Charlotte, Charlotte, North Carolina, USA

    Jean-Claude Thill

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Le Texier, M., Caruso, G. (2018). Aggregate and Disaggregate Dynamic Spatial Interaction Approaches to Modeling Coin Diffusion. In: Thill, JC. (eds) Spatial Analysis and Location Modeling in Urban and Regional Systems. Advances in Geographic Information Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37896-6_9

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